problem solving cards year 2

45 year 2 maths questions

Learn how to master year 2 maths word problems with these 45 maths questions! Answers included.

headshot of author, Michelle

Author Michelle Griczika

problem solving cards year 2

Published February 2024

problem solving cards year 2

  • Key takeaways
  • Addition & Subtraction : Adding and subtracting numbers is like solving puzzles and helps us with real-life situations.
  • Word Problems : Solving word problems makes maths fun and helps us become better readers and problem solvers.
  • Place Value : Understanding place value helps us read and write numbers correctly and compare their values.
  • Measurement & Time : Measuring objects and telling time help us understand the world around us and manage our daily routines.
  • Geometry (Shapes) : Recognizing shapes and their properties helps us see the world in a new way and understand how things are put together.

Table of contents

  • Addition and Subtraction
  • Word Problems
  • Place Value
  • Geometry (Shapes)

Did you know that ladybugs have spots on their backs?

If a ladybug has 2 spots on its back and it gets 1 more spot, how many spots will the ladybug have in total?

The lady bug will have 3 spots!

Year 2 maths word problems are like fun puzzles that help us use our maths skills to solve real-life situations. They are essential to year 2 maths, and practising them can help us become maths superstars!

  • We can use addition and subtraction to determine how many cookies are left in a jar, how many friends are on the playground, or even how many apples are in a basket.
  • Understanding place value is like being a number detective. It helps us read big numbers and know the value of each digit, so we can count things like how many toys we have or how many days until our birthday.
  • Measuring things and telling time is like being an explorer in the real world. We can measure how tall we are, how long a pencil is, or even how much water is in a glass. And knowing how to read a clock helps us know when it’s time for fun activities or when it’s time to go to bed.
  • Shapes are like building blocks of the world around us. We can learn about squares, triangles, and circles by looking at objects we see every day. It’s like being a shape detective, finding out how many sides and corners they have, and how they fit together like puzzle pieces in year 2 maths questions.

All of these skills are necessary for year 2 maths practice! Use these 45 maths questions to go over important maths skills needed to strengthen your student’s understanding and knowledge.

Today, we are going to practise different year 2 maths skills that cover measurement, addition and subtraction, and more! Once you are done, check your work with our answer sheet!

Section 1: Addition & subtraction

Section 2: word problems, section 3: place value, section 4: geometry (shapes), section 5: time.

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problem solving cards year 2

Time answer sheet

problem solving cards year 2

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Lesson credits

problem solving cards year 2

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching first and fifth grades coupled with her double certification in elementary and early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

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Modelling & Solving Addition & Subtraction Problems

Worksheets & Templates

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This resource provides students with the opportunity to demonstrate their understanding of addition and subtraction concepts through mathematical modelling. They are required to interpret additive word problems, write a matching number sentence, complete a part-part-whole diagram and bar model that represent the problem and show their working out. Each page includes a list of strategies to assist students during the problem-solving process.

In order for the students to complete this task, they must recognise which part of the problem is unknown: the part or the whole. To avoid confusion, it is recommended that students are modelled examples of both types of problems and have access to hands-on materials, such as counters, to assist them in their working out.

Worksheets 1 and 2 include problems with two-digit numbers, while Worksheets 3 and 4 include three-digit numbers and are better suited to students who can extend their problem-solving skills further.

Additional information

Number of Pages

8

File Format

pdf

Australian Curriculum Code

AC9M3A01, AC9M3N03, AC9M3N06, AC9M4A01, AC9M4N06, AC9M4N08, AC9M5N09

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You'll Have No Words Seeing This Precious 2-Year-Old Genius Do Multiplication on AGT

Simon Cowell pleads, “Get us a calculator!” and asks Baby Dev to negotiate his next deal in this incredible AGT Season 19 Audition.

problem solving cards year 2

While most toddlers are stacking blocks and coloring with crayons, this pint-sized genius does addition, subtraction, and multiplication on national television.

How to Watch

Watch America’s Got Talent Tuesdays at 8/7c on NBC and next day on Peacock . 

Devan is the youngest Act ever to light up the America’s Got Talent stage, and in the Season 19 premiere, we can see why. The sweet boy knocked everyone’s socks off as he sailed through three different math equations that, to be honest, had the Judges stumped .

“We’re all sitting here thinking the same thing: get us a calculator,” said Simon Cowell after the performance, adding, “I now feel really stupid.”

RELATED:  Who Are the America's Got Talent Season 19 Judges?

Baby Dev’s father, Duane, a retired police officer, told NBC Insider he noticed something very special about his son early on: “At 4 months old, we realized his love for numbers.”

Duane explained that when he exposed his son to early learning shows, Baby Dev would suddenly cry when they switched away from math. “And when we turned it back, he would stop. We’re like, all right, he has this love and passion for numbers,” he said.

How old is Baby Devan?

Devan is 2 years old, the youngest-ever contestant on AGT . 

From the moment Baby Dev fist-bumped Terry Crews backstage before his Season 19 debut, AGT fans were charmed. The precious boy laughed, jumped, and squealed with delight after solving equations and politely saying “hello” and “thank you” to the Judges while on stage with his proud dad.

Baby Dev on stage during AGT Episode 1901.

“His first word before mama and dada was seven,” Duane told the Judges. “That’s my lucky number,” exclaimed Simon. And it seemed to be Baby Dev’s, too. Three whiteboards were set up on stage — two for multiplication and one for addition — with Judges calling out random numbers. When Baby Dev quickly solved 7 x 9, there was a stunned silence before the crowd erupted in applause.

How did Devan develop his math skills?

Duane explained to NBC Insider how he nurtured his son’s penchant for math.

“At age 1, we had bought him a writing tablet. We would practice writing numbers with him from 1 to 10… and we would practice writing every day, and by 15 months old, he knew how to write numbers on his own.” After mastering addition, the math prodigy moved on to subtraction and his times tables.

“We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please,’ and then he’ll go to his writing board and just do math equations,” said his dad, who noted that the little boy always loved counting everything. “Cars on the street, birds, trees… he has number magnets that he carries with him like it’s a toy.”

Baby Dev on stage during AGT Episode 1901.

Baby Dev does not receive formal tutoring, and as one audience member pointed out, “He’s not even using his fingers” to count. However, he might have one strict requirement when calculating: Not being interrupted. As Baby Dev tackled a math problem and jotted down numbers, Howie Mandel loudly whispered, “We get to see the process.”

We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please!’” Duane, Baby Dev's dad

The toddler shot him a look that could freeze water. After a long pause and some shushing directed toward Mandel, Baby Dev continued on and solved the final equation. He was unanimously voted on to the next round — but he may have something extra on his plate, too.

When Simon asked, “Devon, will you help me negotiate my next deal?” the little cutie responded, “Yes!”

Obviously this charming youngster moved on to the next round of the competition where fans are surely eager to see what mathematical wizardry he'll come up with next. 

Watch all-new episodes of  America’s Got Talent , airing Tuesdays at 8/7c on NBC   and streaming the next day on  Peacock .

-  Reporting by McKenzie Jean-Philippe

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Addressing employee burnout: Are you solving the right problem?

The COVID-19 pandemic has accelerated and exacerbated long-standing corporate challenges to employee health and well-being , and in particular employee mental health. 1 When used in this article, “mental health” is a term inclusive of positive mental health and the full range of mental, substance use, and neurological conditions. This has resulted in reports of rapidly rising rates of burnout 2 When used in this article, “burnout” and “burnout symptoms” refer to work-driven burnout symptoms (per sidebar “What is burnout?”). around the world (see sidebar “What is burnout?”).

About the authors

This article is a collaborative effort by Jacqueline Brassey , Erica Coe , Martin Dewhurst, Kana Enomoto , Renata Giarola, Brad Herbig, and Barbara Jeffery , representing the views of the McKinsey Health Institute.

Many employers have responded by investing more into mental health and well-being than ever before. Across the globe, four in five HR leaders report that mental health and well-being is a top priority for their organization. 3 McKinsey Health Institute Employee Mental Health and Wellbeing Survey, 2022: n (employee) = 14,509; n (HR decision maker) = 1,389. Many companies offer a host of wellness benefits such as yoga, meditation app subscriptions, well-being days, and trainings on time management and productivity. In fact, it is estimated that nine in ten organizations around the world offer some form of wellness program. 4 Charlotte Lieberman, “What wellness programs don’t do for workers,” Harvard Business Review , August 14, 2019.

As laudable as these efforts are, we have found that many employers focus on individual-level interventions that remediate symptoms, rather than resolve the causes of employee burnout. 5 Anna-Lisa Eilerts et al., “Evidence of workplace interventions—A systematic review of systematic reviews,” International Journal of Environmental Research and Public Health , 2019, Volume 16, Number 19. Employing these types of interventions may lead employers to overestimate the impact of their wellness programs and benefits 6 Katherine Baicker et al., “Effect of a workplace wellness program on employee health and economic outcomes: A randomized clinical trial,” JAMA , 2019, Volume 321, Number 15; erratum published in JAMA , April 17, 2019. and to underestimate the critical role of the workplace in reducing burnout and supporting employee mental health and well-being. 7 Pascale M. Le Blanc, et al., “Burnout interventions: An overview and illustration,” in Jonathan R. B. Halbesleben’s Handbook of Stress and Burnout in Health Care , New York, NY: Nova Science Publishers, 2008; Peyman Adibi et al., “Interventions for physician burnout: A systematic review of systematic reviews,” International Journal of Preventive Medicine , July 2018, Volume 9, Number 1.

What is burnout?

According to the World Health Organization, burnout is an occupational phenomenon. It is driven by a chronic imbalance between job demands 1 Job demands are physical, social, or organizational aspects of the job that require sustained physical or mental effort and are therefore associated with certain physiological and psychological costs—for example, work overload and expectations, interpersonal conflict, and job insecurity. Job resources are those physical, social, or organizational aspects of the job that may do any of the following: (a) be functional in achieving work goals; (b) reduce job demands and the associated physiological and psychological costs; (c) stimulate personal growth and development such as feedback, job control, social support (Wilmar B. Schaufeli and Toon W. Taris, “A critical review of the job demands-resources model: Implications for improving work and health,” from Georg F. Bauer and Oliver Hämmig’s Bridging Occupational, Organizational and Public Health: A Transdisciplinary Approach , first edition, Dordrecht, Netherlands: Springer, 2014). (for example, workload pressure and poor working environment) and job resources (for example, job autonomy and supportive work relationships). It is characterized by extreme tiredness, reduced ability to regulate cognitive and emotional processes, and mental distancing. Burnout has been demonstrated to be correlated with anxiety and depression, a potential predictor of broader mental health challenges. 2 Previous meta-analytic findings demonstrate moderate positive correlations of burnout with anxiety and depression—suggesting that anxiety and depression are related to burnout but represent different constructs (Katerina Georganta et al., “The relationship between burnout, depression, and anxiety: A systematic review and meta-analysis,” Frontiers in Psychology , March 2019, Volume 10, Article 284). When used in this article, burnout does not imply a clinical condition.

Research shows that, when asked about aspects of their jobs that undermine their mental health and well-being, 8 Paula Davis, Beating Burnout at Work: Why Teams Hold the Secret to Well-Being and Resilience , Philadelphia, PA: Wharton School Press, 2021. employees frequently cite the feeling of always being on call, unfair treatment, unreasonable workload, low autonomy, and lack of social support. 9 Jennifer Moss, The Burnout Epidemic: The Rise of Chronic Stress and How We Can Fix It , Boston, MA: Harvard Business Review Press, 2021. Those are not challenges likely to be reversed with wellness programs. In fact, decades of research suggest that interventions targeting only individuals are far less likely to have a sustainable impact on employee health than systemic solutions, including organizational-level interventions. 10 Hanno Hoven et al., “Effects of organisational-level interventions at work on employees’ health: A systematic review,” BMC Public Health , 2014, Volume 14, Number 135.

Since many employers aren’t employing a systemic approach, many have weaker improvements in burnout and employee mental health and well-being than they would expect, given their investments.

Organizations pay a high price for failure to address workplace factors 11 Gunnar Aronsson et al., “A systematic review including meta-analysis of work environment and burnout symptoms,” BMC Public Health , 2017, Volume 17, Article 264. that strongly correlate with burnout, 12 Sangeeta Agrawal and Ben Wigert, “Employee burnout, part 1: The 5 main causes,” Gallup, July 12, 2018. such as toxic behavior. 13 The high cost of a toxic workplace culture: How culture impacts the workforce — and the bottom line , Society for Human Resource Management, September 2019. A growing body of evidence, including our research in this report, sheds light on how burnout and its correlates may lead to costly organizational issues such as attrition. 14 Caio Brighenti et al., “Why every leader needs to worry about toxic culture,” MIT Sloan Management Review, March 16, 2022. Unprecedented levels of employee turnover—a global phenomenon we describe as the Great Attrition —make these costs more visible. Hidden costs to employers also include absenteeism, lower engagement, and decreased productivity. 15 Eric Garton, “Employee burnout is a problem with the company, not the person,” Harvard Business Review , April 6, 2017.

The McKinsey Health Institute: Join us!

The McKinsey Health Institute (MHI) is an enduring, non-profit-generating global entity within McKinsey. MHI strives to catalyze actions across continents, sectors, and communities to achieve material improvements in health, empowering people to lead their best possible lives. MHI is fostering a strong network of organizations committed to this aspiration, including employers globally who are committed to supporting the health of their workforce and broader communities.

MHI has a near-term focus on the urgent priority of mental health, with launch of a flagship initiative around employee mental health and well-being. By convening leading employers, MHI aims to collect global data, synthesize insights, and drive innovation at scale. Through collaboration, we can truly make a difference, learn together, and co-create solutions for workplaces to become enablers of health—in a way that is good for business, for employees, and for the communities in which they live.

To stay updated about MHI’s initiative on employee mental health and well-being sign up at McKinsey.com/mhi/contact-us .

In this article, we discuss findings of a recent McKinsey Health Institute (MHI)  (see sidebar “The McKinsey Health Institute: Join us!”) global survey that sheds light on frequently overlooked workplace factors underlying employee mental health and well-being in organizations around the world. We conclude by teeing up eight questions for reflection along with recommendations on how organizations can address employee mental-health and well-being challenges by taking a systemic approach focused on changing the causes rather than the symptoms of poor outcomes. While there is no well-established playbook, we suggest employers can and should respond through interventions focused on prevention rather than remediation.

We are seeing persistent burnout challenges around the world

To better understand the disconnection between employer efforts and rising employee mental-health and well-being challenges (something we have observed  since the start of the pandemic ), between February and April 2022 we conducted a global survey of nearly 15,000 employees and 1,000 HR decision makers in 15 countries. 16 Argentina, Australia, Brazil, China, Egypt, France, Germany, India, Japan, Mexico, South Africa, Switzerland, Turkey, the United Kingdom, and the United States. The combined population of the selected countries correspond to approximately 70 percent of the global total.

The workplace dimensions assessed in our survey included toxic workplace behavior, sustainable work, inclusivity and belonging, supportive growth environment, freedom from stigma, organizational commitment, leadership accountability, and access to resources. 17 The associations of all these factors with employee health and well-being have been extensively explored in the academic literature. That literature heavily informed the development of our survey instrument. We have psychometrically validated this survey across 15 countries including its cross-cultural factorial equivalence. For certain outcome measures we collaborated with academic experts who kindly offered us their validated scales including the Burnout Assessment Tool (BAT), the Distress Screener, and the Adaptability Scale referenced below. Those dimensions were analyzed against four work-related outcomes—intent to leave, work engagement, job satisfaction, and organization advocacy—as well as four employee mental-health outcomes—symptoms of anxiety, burnout, depression, and distress. 18 Instruments used were the Burnout Assessment Tool (Steffie Desart et al., User manual - Burnout assessment tool [BAT ] , - Version 2.0, July 2020) (burnout symptoms); Distress Screener (4DSQ; JR Anema et al., “Validation study of a distress screener,” Journal of Occupational Rehabilitation , 2009, Volume 19) (distress); GAD-2 assessment (Priyanka Bhandari et al., “Using Generalized Anxiety Disorder-2 [GAD-2] and GAD-7 in a primary care setting,” Cureus , May 20, 2021, Volume 12, Number 5) (anxiety symptoms); and the PHQ-2 assessment (Patient Health Questionnaire [PHQ-9 & PHQ-2], American Psychological Association) (depression symptoms). Individual adaptability was also assessed 19 In this article, “adaptability” refers to the “affective adaptability” which is one sub-dimension of The Adaptability Scale instrument (Michel Meulders and Karen van Dam, “The adaptability scale: Development, internal consistency, and initial validity evidence,” European Journal of Psychological Assessment , 2020, Volume 37, Number 2). (see sidebar “What we measured”).

What we measured

Workplace factors assessed in our survey included:

  • Toxic workplace behavior: Employees experience interpersonal behavior that leads them to feel unvalued, belittled, or unsafe, such as unfair or demeaning treatment, noninclusive behavior, sabotaging, cutthroat competition, abusive management, and unethical behavior from leaders or coworkers.
  • Inclusivity and belonging: Organization systems, leaders, and peers foster a welcoming and fair environment for all employees to be themselves, find connection, and meaningfully contribute.
  • Sustainable work: Organization and leaders promote work that enables a healthy balance between work and personal life, including a manageable workload and work schedule.
  • Supportive growth environment: Managers care about employee opinions, well-being, and satisfaction and provide support and enable opportunities for growth.
  • Freedom from stigma and discrimination: Freedom from the level of shame, prejudice, or discrimination employees perceive toward people with mental-health or substance-use conditions.
  • Organizational accountability: Organization gathers feedback, tracks KPIs, aligns incentives, and measures progress against employee health goals.
  • Leadership commitment: Leaders consider employee mental health a top priority, publicly committing to a clear strategy to improve employee mental health.
  • Access to resources: Organization offers easy-to-use and accessible resources that fit individual employee needs related to mental health. 1 Including adaptability and resilience-related learning and development resources.

Health outcomes assessed in our survey included:

  • Burnout symptoms: An employee’s experience of extreme tiredness, reduced ability to regulate cognitive and emotional processes, and mental distancing (Burnout Assessment Tool). 2 Burnout Assessment Tool, Steffie Desart et al., “User manual - Burnout assessment tool (BAT), - Version 2.0,” July 2020.
  • Distress: An employee experiencing a negative stress response, often involving negative affect and physiological reactivity (4DSQ Distress Screener). 3 Distress screener, 4DSQ; JR Anema et al., “Validation study of a distress screener,” Journal of Occupational Rehabilitation , 2009, Volume 19.
  • Depression symptoms: An employee having little interest or pleasure in doing things, and feeling down, depressed, or hopeless (PHQ-2 Screener). 4 Kurt Kroenke et al., “The patient health questionnaire-2: Validity of a two-item depression screener,” Medical Care , November 2003, Volume 41, Issue 11.
  • Anxiety symptoms: An employee’s feelings of nervousness, anxiousness, or being on edge, and not being able to stop or control worrying (GAD-2 Screener). 5 Kurt Kroenke et al., “Anxiety disorders in primary care: Prevalence, impairment, comorbidity, and detection,” Annals of Internal Medicine , March 6, 2007, Volume 146, Issue 5.

Work-related outcomes assessed in our survey included:

  • Intent to leave: An employee’s desire to leave the organization in which they are currently employed in the next three to six months.
  • Work engagement: An employee’s positive motivational state of high energy combined with high levels of dedication and a strong focus on work.
  • Organizational advocacy: An employee’s willingness to recommend or endorse their organization as a place to work to friends and relatives.
  • Work satisfaction: An employee’s level of contentment or satisfaction with their current job.

Our survey pointed to a persistent disconnection between how employees and employers perceive mental health and well-being in organizations. We see an average 22 percent gap between employer and employee perceptions—with employers consistently rating workplace dimensions associated with mental health and well-being more favorably than employees. 20 Our survey did not link employers and employees’ responses. Therefore, these numbers are indicative of a potential gap that could be found within companies.

In this report—the first of a broader series on employee mental health from the McKinsey Health Institute—we will focus on burnout, its workplace correlates, and implications for leaders. On average, one in four employees surveyed report experiencing burnout symptoms. 21 Represents global average of respondents experiencing burnout symptoms (per items from Burnout Assessment Tool) sometimes, often, or always. These high rates were observed around the world and among various demographics (Exhibit 1), 22 Our survey findings demonstrate small but statistically significant differences between men and women, with women reporting higher rates of burnout symptoms (along with symptoms of distress, depression, and anxiety). Differences between demographic variables across countries will be discussed in our future publications. and are consistent with global trends. 23 Ashley Abramson, “Burnout and stress are everywhere,” Monitor on Psychology , January 1, 2022, Volume 53, Number 1.

So, what is behind pervasive burnout challenges worldwide? Our research suggests that employers are overlooking the role of the workplace in burnout and underinvesting in systemic solutions.

Employers tend to overlook the role of the workplace in driving employee mental health and well-being, engagement, and performance

In all 15 countries and across all dimensions assessed, toxic workplace behavior was the biggest predictor of burnout symptoms and intent to leave by a large margin 24 Measured as a function of predictive power of the dimensions assessed; predictive power was estimated based on share of outcome variability associated with each dimension; based on regression models applied to cross-sectional data (that is, measured at one point in time), rather than longitudinal data (that is, measured over time); causal relationships have not been established. —predicting more than 60 percent of the total global variance. For positive outcomes (including work engagement, job satisfaction, and organization advocacy), the impact of factors assessed was more distributed—with inclusivity and belonging, supportive growth environment, sustainable work, and freedom from stigma predicting most outcomes (Exhibit 2).

In all 15 countries and across all dimensions assessed, toxic workplace behavior had the biggest impact predicting burnout symptoms and intent to leave by a large margin.

The danger of toxic workplace behavior—and its impact on burnout and attrition

Across the 15 countries in the survey, toxic workplace behavior is the single largest predictor of negative employee outcomes, including burnout symptoms (see sidebar “What is toxic workplace behavior?”). One in four employees report experiencing high rates of toxic behavior at work. At a global level, high rates were observed across countries, demographic groups—including gender, organizational tenure, age, virtual/in-person work, manager and nonmanager roles—and industries. 25 Differences between demographic variables across countries will be discussed in our future articles.

What is toxic workplace behavior?

Toxic workplace behavior is interpersonal behavior that leads to employees feeling unvalued, belittled, or unsafe, such as unfair or demeaning treatment, non-inclusive behavior, sabotaging, cutthroat competition, abusive management, and unethical behavior from leaders or coworkers. Selected questions from this dimension include agreement with the statements “My manager ridicules me,” “I work with people who belittle my ideas,” and “My manager puts me down in front of others.”

Toxic workplace behaviors are a major cost for employers—they are heavily implicated in burnout, which correlates with intent to leave and ultimately drives attrition. In our survey, employees who report experiencing high levels of toxic behavior 26 “High” represents individuals in the top quartile of responses and “low” represents individuals in the bottom quartile of responses. at work are eight times more likely to experience burnout symptoms (Exhibit 3). In turn, respondents experiencing burnout symptoms were six times more likely to report they intend to leave their employers in the next three to six months (consistent with recent data pointing to toxic culture as the single largest predictor of resignation during the Great Attrition, ten times more predictive than compensation alone 27 Charles Sull et al., “Toxic culture is driving the Great Resignation,” MIT Sloan Management Review, January 11, 2022. and associated with meaningful organizational costs 28 Rasmus Hougaard, “To stop the Great Resignation, we must fight dehumanization at work,” Potential Project, 2022. ). The opportunity for employers is clear. Studies show that intent to leave may correlate with two- to three-times higher 29 Bryan Bohman et al., “Estimating institutional physician turnover attributable to self-reported burnout and associated financial burden: A case study,” BMC Health Services Research , November 27, 2018, Volume 18, Number 1. rates of attrition; conservative estimates of the cost of replacing employees range from one-half to two times their annual salary. Even without accounting for costs associated with burnout—including organizational commitment 30 Michael Leiter and Christina Maslach, “The impact of interpersonal environment on burnout and organizational commitment,” Journal of Organizational Behavior , October 1988, Volume 9, Number 4. and higher rates of sick leave and absenteeism 31 Arnold B. Bakker et al., “Present but sick: A three-wave study on job demands, presenteeism and burnout,” Career Development International , 2009, Volume 14, Number 1. —the business case for addressing it is compelling. The alternative—not addressing it—can lead to a downward spiral in individual and organizational performance. 32 Arnold B. Bakker et al., “Present but sick: A three-wave study on job demands, presenteeism and burnout,” Career Development International , 2009, Volume 14, Number 1.

Individuals’ resilience and adaptability skills may help but do not compensate for the impact of a toxic workplace

Toxic behavior is not an easy challenge to address. Some employers may believe the solution is simply training people to become more resilient.

There is merit in investing in adaptability and resiliency skill building . Research indicates that employees who are more adaptable tend to have an edge in managing change and adversity. 33 Karen van Dam, “Employee adaptability to change at work: A multidimensional, resource-based framework,” from The Psychology of Organizational Change: Viewing Change from the Employee’s Perspective , Cambridge, England: Cambridge University Press, 2013; Jacqueline Brassey et al., Advancing Authentic Confidence Through Emotional Flexibility: An Evidence-Based Playbook of Insights, Practices and Tools to Shape Your Future , second edition, Morrisville, NC: Lulu Press, 2019; B+B Vakmedianet B.V. Zeist, Netherlands (to be published Q3 2022). We see that edge reflected in our survey findings: adaptability acts as a buffer 34 Estimated buffering effect illustrated in Exhibit 4. to the impact of damaging workplace factors (such as toxic behaviors), while magnifying the benefit of supportive workplace factors (such as a supportive growth environment) (Exhibit 4). In a recent study, employees engaging in adaptability training experienced three times more improvement in leadership dimensions and seven times more improvement in self-reported well-being than those in the control group. 35 McKinsey’s People and Organization Performance - Adaptability Learning Program; multirater surveys showed improvements in adaptability outcomes, including performance in role, sustainment of well-being, successfully adapting to unplanned circumstances and change, optimism, development of new knowledge and skills; well-being results were based on self-reported progress as a result of the program.

However, employers who see building resilience and adaptability skills in individuals as the sole solution to toxic behavior and burnout challenges are misguided. Here is why.

Individual skills cannot compensate for unsupportive workplace factors. When it comes to the effect of individual skills, leaders should be particularly cautious not to misinterpret “favorable” outcomes (for example, buffered impact of toxic behaviors across more adaptable employees) as absence of underlying workplace issues that should be addressed. 36 Tomas Chamorro-Premuzic, “To prevent burnout, hire better bosses,” Harvard Business Review , August 23, 2019.

Also, while more adaptable employees are better equipped to work in poor environments, they are less likely to tolerate them. In our survey, employees with high adaptability were 60 percent more likely to report intent to leave their organization if they experienced high levels of toxic behavior at work than those with low adaptability (which may possibly relate to a higher level of self-confidence 37 Brassey et al. found that as a result of a learning program, employees who developed emotional flexibility skills, a concept related to affective adaptability but also strongly linked to connecting with purpose, developed a higher self-confidence over time; Jacqueline Brassey et al., “Emotional flexibility and general self-efficacy: A pilot training intervention study with knowledge workers,” PLOS ONE , October 14, 2020, Volume 15, Number 10. ). Therefore, relying on improving employee adaptability without addressing broader workplace factors puts employers at an even higher risk of losing some of its most resilient, adaptable employees.

Employees with high adaptability were 60 percent more likely to report intent to leave their organization if they experienced high levels of toxic behavior at work than those with low adaptability.

What this means for employers: Why organizations should take a systemic approach to improving employee mental health and well-being

We often think of employee mental health, well-being, and burnout as a personal problem. That’s why most companies have responded to symptoms by offering resources focused on individuals such as wellness programs.

However, the findings in our global survey and research are clear. Burnout is experienced by individuals, but the most powerful drivers of burnout are systemic organizational imbalances across job demands and job resources. So, employers can and should view high rates of burnout as a powerful warning sign that the organization—not the individuals in the workforce—needs to undergo meaningful systematic change.

Employers can and should view high rates of burnout as a powerful warning sign that the organization—not the individuals in the workforce—needs to undergo meaningful systematic change.

Taking a systemic approach means addressing both toxic workplace behavior and redesigning work to be inclusive, sustainable, and supportive of individual learning and growth, including leader and employee adaptability skills. It means rethinking organizational systems, processes, and incentives to redesign work, job expectations, and team environments.

As an employer, you can’t “yoga” your way out of these challenges. Employers who try to improve burnout without addressing toxic behavior are likely to fail. Our survey shows that improving all other organization factors assessed (without addressing toxic behavior) does not meaningfully improve reported levels of burnout symptoms. Yet, when toxic behavior levels are low, each additional intervention contributes to reducing negative outcomes and increasing positive ones.

The interactive graphic shows the estimated interplay between the drivers and outcomes, based on our survey data (Exhibit 5).

Taking a preventative, systemic approach—focused on addressing the roots of the problem (as opposed to remediating symptoms)—is hard. But the upside for employers is a far greater ability to attract and retain valuable talent over time.

The good news: Although there are no silver bullets, there are opportunities for leaders to drive material change

We see a parallel between the evolution of global supply chains and talent. Many companies optimized supply chains for “just in time” delivery, and talent was optimized to drive operational efficiency and effectiveness. As supply chains come under increasing pressure, many companies recognize the need to redesign and optimize supply chains for resilience and sustainability, and the need to take an end-to-end approach to the solutions. The same principles apply to talent.

We acknowledge that the factors associated with improving employee mental health and well-being (including organizational-, team-, and individual-level factors) are numerous and complex. And taking a whole-systems approach is not easy.

Would you like to learn more about the McKinsey Health Institute ?

Despite the growing momentum toward better employee mental health and well-being (across business and academic communities), we’re still early on the journey. We don’t yet have sufficient evidence to conclude which interventions work most effectively—or a complete understanding of why they work and how they affect return on investment.

That said, efforts to mobilize the organization to rethink work—in ways that are compatible with both employee and employer goals—are likely to pay off in the long term. To help spark that conversation in your organization, we offer eight targeted questions and example strategies with the potential to address some of the burnout-related challenges discussed in this article.

Do we treat employee mental health and well-being as a strategic priority?

This is fundamental to success. When a large organization achieved a 7 percent reduction in employee burnout rates (compared with an 11 percent increase in the national average within the industry over the same period), the CEO believed that leadership and sustained attention from the highest level of the organization were the “key to making progress.” 38 John H. Noseworthy and Tait D Shanafelt, “Executive leadership and physician well‐being: Nine organizational strategies to promote engagement and reduce burnout,” Mayo Clinic Proceedings , January 2017, Volume 92, Number 1. Senior executives recognized employee mental health and well-being as a strategic priority. Executives publicly acknowledged the issues and listened to employee needs through a wide range of formats—including town halls, workshops, and employee interviews (our research suggests that leaders are not listening to their people  nearly enough). They prioritized issues and defined clear, time-bound measurable goals around them—with a standardized measure of burnout being given equal importance to other key performance metrics (financial metrics, safety/quality, employee turnover, and customer satisfaction). Although anonymous at the level of the individual, results were aggregated at division/department level to allow executive leadership to focus attention and resources where they were most needed. 39 Liselotte Dyrbye et al., “Physician burnout: Contributors, consequences and solutions,” Journal of Internal Medicine , 2018, Volume 283, Number 6. This example highlights how CEOs have the ability to create meaningful change through listening to employees and prioritizing strategies to reduce burnout.

Do we effectively address toxic behaviors?

Eliminating toxic workplace behavior is not an easy task. Organizations that tackle toxic behavior effectively deploy a set of integrated work practices  to confront the problem, 40 Robert I. Sutton, The No Asshole Rule: Building a Civilized Workplace and Surviving One That Isn’t , first edition, New York, NY: Business Plus, 2010. and see treatment of others as an integral part of assessing an employee’s performance. Manifestations of toxic behavior 41 “Why every leader,” 2022. are flagged, repeat offenders either change or leave, and leaders take time  to become aware of the impact their behavior has on others. If you lead part of an organization, looking at your own behaviors, and what you tolerate in your own organization, is a good place to start. 42 “ Author Talks: How to handle your work jerk ,” March 29, 2022.

Leaders with higher self-regulation may be better, less toxic leaders

Research shows that leaders’ development of self-regulation increases followers’ ratings of their effectiveness and is associated with higher team financial performance as well as a higher final team grade compared with a control group. The benefits of self-regulation also improved leaders’ development of task-relevant competencies. 1 Robin Martin and JooBee Yeow, “The role of self-regulation in developing leaders: A longitudinal field experiment,” Leadership Quarterly , October 2013, Volume 24, Number 5. Furthermore, building employees’ resilience and adaptability  skills leads to a higher sense of agency and self-efficacy, 2 Jacqueline Brassey et al., “Emotional flexibility and general self-efficacy: A pilot training intervention study with knowledge workers,” PLOS ONE , October 14, 2020, Volume 15, Number 10; and Jacqueline Brassey et al., Advancing Authentic Confidence Through Emotional Flexibility: An Evidence-Based Playbook of Insights, Practices and Tools to Shape Your Future , second edition, Morrisville, NC: Lulu Press, 2019; B+B Vakmedianet B.V. Zeist, Netherlands (to be published Q3 2022). which is related to reduced burnout and improved performance. 3 Charles Benight et al., “Associations between job burnout and self-efficacy: A meta-analysis,” Anxiety, Stress, & Coping , 2016, Volume 29, Issue 4; and Alex Stajkovic, “Self-efficacy and work-related performance: A meta-analysis,” Psychological Bulletin , 1998, Volume 124, Number 2.

Another component of eliminating toxic behavior is cultivating supportive, psychologically safe work environments , where toxic behaviors are less likely to spread  across the organization. 43 Annie McKee, “Neutralize your toxic boss,” Harvard Business Review , September 24, 2008. Effective leaders know that emotional contagion 44 John T. Cacioppo et al., Emotional Contagion , Cambridge, England: Cambridge University Press, 1994. may go both ways: displaying vulnerability and compassion  fuels more compassionate teams; displaying toxic behavior fuels more toxic teams. 45 Michael Housman and Dylan Minor, Toxic workers , Harvard Business School working paper, No. 16-057, October 2015 (revised November 2015). There are two caveats: toxic behavior may not be intentional—particularly if individuals are not equipped to respond with calm  and compassion under pressure—and regardless of intent, toxic behavior spreads faster and wider than good behavior. 46 “To prevent burnout,” 2019. To prevent unintentional dissemination of toxic behaviors, role modeling from adaptable , self-regulating, compassionate leaders may help (see sidebar “Leaders with higher self-regulation may be better, less toxic leaders”).

Do we create inclusive work environments?

Most leaders recognize the established associations between performance and inclusion , but inclusion does not happen by accident . Inclusion is a multifaceted construct that must be addressed comprehensively and proactively. Most companies define inclusion too narrowly and thus address it too narrowly as well. Over the past three years, we’ve broadened our perspective  on how to create truly inclusive workplaces and developed a modern inclusion model . The model includes 17 practices (based on frequency of desired behaviors) and six outcomes (based on perceptions of effectiveness). Each practice falls into one of three relationships that shape workplace inclusion: organizational systems, leaders, and peers/teammates.

The 17 inclusive-workplace practices , when done consistently well, drive workplace inclusion and equity for all employees by providing clarity into actions that matter. For example, among employees working in hybrid models , work–life support was the top practice employees desired improvements on—with nearly half of employees recommending prioritizing policies that support flexibility—including extended parental leave, flexible hours, and work-from-home policies.

A truly inclusive workplace implements systems that minimize conscious and unconscious bias , allowing employees to express themselves and connect with each other. It also features leaders who not only advocate for team members and treat them impartially but also uphold and support all organizational systems and practices . For example, one employer defined data-driven targets for the representation and advancement of diverse talent across dimensions (beyond gender and ethnicity) and role types (executive, management, technical, board)—leveraging powerful analytics to track progress and foster transparency along the way.

Do we enable individual growth?

Evidence suggests that individual growth, learning, and development programs are effective 47 Arnold B. Bakker and Evangelia Demerouti, “Towards a model of work engagement,” Career Development International , 2008, Volume 13, Issue 3. ways to combat burnout and to retain and engage employees, and therefore are important for addressing growing talent and skills shortages within organizations. Employers who “double down” on talent redeployment, mobility, reskilling, and upskilling tend to see improvement across a range of financial, organizational, and employee experience metrics. In a recent study of extensive employee data, offering lateral career opportunities was two-and-half times more predictive of employee retention than compensation, and 12 times more predictive than promotions 48 “Why every leader,” 2022. —signaling an opportunity for leaders to support employee desires to learn, explore, and grow way beyond traditional career progression.

Investing in your employees’ capabilities can drive financial returns, is often cheaper than hiring, and signals to employees that they are valued and have an important role in the organization.

Do we promote sustainable work?

Promoting sustainable work goes beyond managing workload. It’s about enabling employees to have a sense of control and predictability, flexibility, and sufficient time for daily recovery. It’s also about leading with compassion and empathy 49 “It’s time to eliminate bad bosses. They are harmful and expensive,” Potential Project, The Human Leader, April 2022. —tailoring interventions based on where, when, and how work can be done , and how different groups are more likely to (re)establish socio-emotional ties  after a long period of isolation and loss of social cohesion .

One technology company is using real-time data on employee preferences to rapidly test and iterate solutions that work for specific groups around return-to-office options. To find solutions that work for your employees, consider adopting a test-and-learn  mindset. This approach can help the organization make progress while adapting as context evolves (a hallmark of more productive  organizations).

Are we holding leaders accountable?

Many organizations consider people leadership criteria in their performance management. Yet, there is substantial room to grow when it comes to employers providing transparency around employee mental-health and well-being objectives and metrics. 50 Workplace Mental Health Blogs , One Mind, “Fix performance management by aligning it with employee mental health,” blog entry by Daryl Tol, March 2, 2022; Garett Slettebak, “Measuring progress on workplace mental health”, One Mind at Work, March 24, 2022.

Organizations that are doing this well have set clear expectations for managers to lead in a way that is supportive of employee mental health and well-being. 51 Taylor Adams et al., Mind the workplace: Work health survey 2021 , Mental Health America, 2021. They offer training to help managers identify, proactively ask about, and listen to employees’ mental-health and well-being needs. They also introduce mental-health “pulse” checks and incorporate relevant questions into the broader employee satisfaction surveys, to establish a baseline and track trends in how employees are feeling. Discussion on employee mental health and well-being can be incorporated into regular leadership meetings, including concerns, risks, and potential actions.

To encourage leaders to lead by example and increase their accountability, some employers embed employee mental-health support into leaders’ reviews based on anonymous upward feedback from their teams. Finally, some companies are exploring if they can go even further and tie incentives to short- and long-term employee mental-health and well-being objectives.

Are we effectively tackling stigma?

As noted in a previous McKinsey article , the majority of employers and employees acknowledge the presence of stigma 52 In the context of employee mental health, stigma is defined as a level of shame, prejudice, or discrimination toward people with mental-health or substance-use conditions. in their workplaces. Stigma has been shown to have real costs to workforce productivity, often exacerbating underlying conditions because of people being afraid to seek help for mental-health needs and driving down an employee’s self-worth and engagement.

We see several actions that organizations are taking to eliminate stigma. 53 Erica Coe, Jenny Cordina, Kana Enomoto, and Nikhil Seshan, “ Overcoming stigma: Three strategies toward better mental health in the workplace ,” July 23, 2021. Leading by example can make a difference, with senior leaders stepping forward to describe personal struggles with mental health, using nonstigmatizing language. 54 Evelien Brouwers et al., “To disclose or not to disclose: A multi-stakeholder focus group study on mental health issues in the work environment. Journal of Occupational Rehabilitation , 2020, Volume 30, Number 1. Leaders showing vulnerability helps to remove shame and promote a psychologically safe culture. 55 Global thriving at work framework , MindForward Alliance, 2020.

Stigma can also be reduced by companies prioritizing mental wellness as critical for peak performance instead of rewarding overwork at the expense of rest and renewal—rewarding an “athlete” mindset instead of overemphasizing a “hero.” This can begin to shift perception of signs of burnout or other mental-health needs as being indicative of a moral failing. Finally, creating a dedicated role to support employee mental health and well-being and appointing a senior leader, such as chief wellness officer, will increase awareness and show commitment.

Do our resources serve employee needs?

Leaders should evaluate whether mental-health and well-being resources are at parity with physical-health benefits and how frequently they are being used by employees. An increasing number of employers have expanded access to mental-health services 56 Charles Ingoglia, “Now more than ever, employers must provide mental health support for employees,” National Council for Mental Wellbeing, May 4, 2022. ; however, research  shows that almost 70 percent of employees find it challenging to access those services.

In a previous survey , 45 percent of respondents who had left their jobs cited the need to take care of family as an influential factor in their decision (with a similar proportion of respondents who are considering quitting also citing the demands of family care). Expanding childcare, nursing services, or other home- and family-focused benefits could help keep such employees from leaving and show that you value them. Patagonia, long the standard-bearer for progressive workplace policies, retains nearly 100 percent of its new mothers with on-site childcare and other benefits for parents.

Never in history have organizations around the world devoted so much attention and capital to improving employee mental health and well-being. It is lamentable that these investments are not always providing a good return regarding improved outcomes. Employers that take the time to understand the problem at hand—and pursue a preventative, systemic approach focused on causes instead of symptoms—should see material improvements in outcomes and succeed in attracting and retaining valuable talent. More broadly, employers globally have an opportunity to play a pivotal role in helping people achieve material improvements in health. With collaboration and shared commitment, employers can make a meaningful difference in the lives of their employees and the communities they live in.

The McKinsey Health Institute (MHI) is collaborating with leading organizations around the world to achieve material improvements in health—adding years to life and life to years. As part of that, MHI is focused on improving employee mental health and well-being at scale—in a way that is good for business, for employees, and for the communities they live in.

To stay updated about MHI’s initiative on employee mental health and well-being, sign up at McKinsey.com/mhi/contact-us .

Jacqueline Brassey is a director of research science in McKinsey’s Luxemburg office, Erica Coe is a partner in the Atlanta office, Martin Dewhurst is a senior partner in the London office, Kana Enomoto is a senior expert in the Washington, DC, office, and Barbara Jeffery is a partner in the London office; they are all leaders with McKinsey Health Institute (MHI). Renata Giarola , in the Southern California office, and Brad Herbig , in the Philadelphia office, are consultants with MHI.

The authors wish to thank Yueyang Chen, Elena Chit, Aaron de Smet, Soheil Eshghi, Lars Hartenstein, Tom Latkovic, David Mendelsohn, Roxy Merkand, Isidora Mitic, Bill Schaninger, Wilmar Schaufeli, Jeris Stueland, Berend Terluin, Karen van Dam, and Marieke van Hoffen for their contributions to this article.

This article was edited by Allan Gold, a senior editorial advisor in Washington, DC, and Elizabeth Newman, an executive editor in the Chicago office.

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Apple Unveils Calculator App for iPad With Math Notes, Apple Pencil Support

Apple at WWDC today announced a new Calculator app as part of iPadOS 18 that features special Apple Pencil support and a new Math Notes feature.

calculator app ipad

With a new graphing feature, users can write or type an equation and insert a graph with just one tap, and can even add multiple equations on the same graph to see how they relate, according to Apple. Math Notes are also automatically accessible in the Notes app in a new Math Notes folder.

Basic and scientific calculators are included in the iPad app that are designed to make it easy to view complete expressions before completing them. Meanwhile, a History feature helps users keep track of previous calculations, and unit conversions let users quickly convert length, weight, currencies, and more.

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  12. Time Fluency Reasoning and Problem-Solving Maths Mastery Challenge Cards

    Develop fluency, reasoning and problem-solving skills using these structured time inspired challenge cards. The time challenge cards covers time sequences, before and after, time word problems, true or false statements relating to days of the week, months of the year and seconds in a minute. Each time activity question prompts children to use ...

  13. Daily Maths Word Problems

    Available on the Plus Plan. A set of 20 problem-solving questions suited to Year 2 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems. An answer sheet has been included.

  14. Year 2 Mass Challenge Cards (teacher made)

    This is a great resource for students to practise solving mass problems. This activity can be practised in small groups or individually. Show more. mass year 2 mass mass word problems mass challenge cards mass word problems year 2 mass year 1. weight problem solving weight challenge cards grams kilograms word problem weight word problems word ...

  15. Year 2 Mixed Maths Challenge Cards

    These Maths challenge cards are perfect for developing your children's problem-solving skills. Use this resource at the beginning or end of a Maths lesson. These fabulous Maths challenge cards are a great way to test your students while reminding them of topics you've covered over the course of the year. In this resource, there are seven ...

  16. Pinpoint Maths Year 2 Problem Solving and Reasoning Challenge Cards

    Box contains 2 sets of 60 activity cards and a 32 page book of answers and teacher notes (A5 size) Rich independent problem-solving tasks for exploring maths concepts in greater depth; Covers all strands of the Year 2 Programme of Study and colour-coded for ease.

  17. Open-Ended Maths Problems Task Cards

    With 24 open-ended problems across a range of mathematics content areas, this set of cards challenges students to flexibly combine and apply a range of mathematical skills, with the opportunity to demonstrate multiple answers. These task cards can be used for independent or guided practice. Selected cards can be used as formative assessment ...

  18. Modelling & Solving Addition & Subtraction Problems

    Each page includes a list of strategies to assist students during the problem-solving process. ... Years 1 & 2 Making Healthy & Safe Choices Display PACKAGE. Health Assessment Years 1 & 2: Health Messages. Go Fish Oral Language Card Game. Troves of Treasure to 20: Partitioning Sums. Dog & Bone: 1-10. Australian Curriculum V9. F - 6.

  19. PDF Year 2 Divide by 2 Reasoning and Problem Solving

    8b. 22p ÷ 2 = 11p; 24p ÷ 2 = 12p; 12p ÷ 2 = 6p; 6p ÷ 2 = 3p 9b. Various answers, for example: He can make 13 pairs of gloves, he can make 7 pairs of green gloves and 6 pairs of grey gloves. He can make pairs but one pair will have one green glove and one grey glove. Reasoning and Problem Solving - Divide by 2 ANSWERS.

  20. Word Problems Teaching Resources for Year 2

    Daily Maths Word Problems - Year 2 (Worksheets) A set of 20 problem-solving questions suited to Year 2 students. PDF Year 2 Plus Plan ... Open-ended Maths Problem Solving Cards - Lower Primary A set of 20 open-ended problem solving cards covering a range of mathematical concepts.

  21. Algebra Calculator

    Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates ...

  22. You'll Have No Words Seeing This Precious 2-Year-Old Genius Do ...

    AGT saw its youngest contestant ever, 2-year-old math prodigy Baby Devan, take the stage in the Season 19 premiere. ... As Baby Dev tackled a math problem and jotted down numbers, Howie Mandel ...

  23. Year 2 Multiplication and Division Maths Mastery Challenge Cards

    Use this set of 8 challenge cards to reinforce your teaching on year 2 multiplication and division maths mastery and test your students' knowledge. Great as an opening or finishing activity. ... Twinkl added Tt2-m-1470-year-2-multiplication-and-division-math 7 years ago; ... Year 2 Word Problems Multiplication and Division.

  24. Year 2 Division Challenge Cards (teacher made)

    Year 2 Division Challenge Cards. 15 reviews. Key Stage 1 - Year 1, Year 2 Year 1 Number ... PYP Mathematics Phase 3 Number Learning Outcomes Applying with understanding Select an efficient method for solving a problem, for example, mental estimation, ... White Rose Maths Supporting Year 2: Spring Block 1: Multiplication and Division: Making ...

  25. Addressing employee burnout: Are you solving the right problem?

    In this report—the first of a broader series on employee mental health from the McKinsey Health Institute—we will focus on burnout, its workplace correlates, and implications for leaders. On average, one in four employees surveyed report experiencing burnout symptoms. 21 These high rates were observed around the world and among various ...

  26. Apple Unveils Calculator App for iPad With Math Notes ...

    Monday June 10, 2024 10:52 am PDT by Tim Hardwick. Apple at WWDC today announced a new Calculator app as part of iPadOS 18 that features special Apple Pencil support and a new Math Notes feature ...

  27. Year 2 Fractions Word Problems Challenge Cards

    These Year 2 Fractions Word Problems Challenge Cards are ideal for teaching Year 2 students about fractions. Each card has a different word problem about a fraction for your kids to solve. Set of different challenge activities for children to use to build up their understanding about fractions in word problems. Show more.