Divide by 4: Reasoning and Problem Solving
Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8)
Money problems and challenges.
A variety of problem solving activities involving money.
50p to spend, but can you make sure you get the correct change?
Watch out when writing pence as pounds and remember to always have two digits after the decimal point.
The hardest part of these money problems is to read the question and work out what to do.
Put three items in your basket that you would like to buy and then use the money cards to work out the sum.
Solve money problems using the information provided.
Solve money problems at the skating rink.
Plenty of monkey business here!
It's a trip to the zoo to find the very best value.
Some tricky money problems to solve.
More tricky money problems to solve.
Finding different amounts from a given set of coins.
Number and calculating problems
Solve number problems and calculating using addition, subtraction, multiplication and division.
Find the 2-digit numbers that can be made using these digit cards.
Make 2-digit numbers and find the smallest and largest numbers.
More on finding 2-digit numbers from three digit cards.
Tricky little problems involving monsters' legs.
Use logic, addition and subtraction to find out how many strawberries are eaten.
Bar Model: addition and subtraction facts.
Use bar models to add and subtract.
Encourage children to make addition and subtraction come to life by writing short number stories.
What numbers can you make with digit cards?
What are the largest and smallest numbers that can be made with 3 cards?
More number stories to write: this time all about multiplication and division.
All the numbers are here, but the signs are missing! Can you work out what the signs should be?
Investigating odd and even numbers and what happens when you add them together.
Use knowledge of place value to find all possible answers.
Finding the numbers and missing digits to make number sentences correct.
Investigate statements involving odd and even numbers.
Investigate statements about multiplication and times tables.
I?m good at thinking of numbers, but can you work out what number I am thinking about ? I do give a clue!
Work out the missing value using division and addition.
Use reasoning to find the missing values.
More on finding the missing values - an early introduction to algebra.
Use division and addition to find the missing values.
Find the missing values from the information given.
More on finding the value using reasoning.
Real life and word problems
A selection of real life problems and word problems.
Tricky word problems.
More tricky word problems.
Tricky questions, but you only have to carry out one maths step to answer them.
Even trickier questions, and you have to carry out at least two steps to work them out!
More word problems, from the library to shopping and on to flying around the world.
Here we have four pages of questions all on time, including a trip to Alicante!
Solving tricky fraction problems.
More challenges and activities
A great selection of activities requiring logical thinking.
Investigation looking at possibilities when adding the digits from 1 to 5.
This time you can decide the total for the sides of the triangle.
Can you put the numbers 1 to 9 in the diagram so that the difference between each pair of joined numbers is odd?
This challenge is to find as many ways as possible of making 12 using three number cards and the add, subtract and multiply signs.
A development of the 'Caterpillar investigation' but using multiples of 10. Great for practising addition.
3 dinosaurs laid some eggs. They laid 19 altogether. How many did they each lay?
How many ways can three runners cover a distance of 19 miles? They all have to run an odd number of miles.
A book challenge here. How accurately can you guess the number of pages in books?
2D card shapes and a 3 x 3 pinboard are useful for these shape activities.
A calculator is needed to find how many different answers can be made from the numbers given. Good for working in an organised, logical way.
A brief summary of some of the most important maths concepts to be taught in Year 3 by way of challenges and investigations.
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Short Division – Reasoning and Problem Solving
Short Division - Reasoning and Problem Solving
This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Short Division.
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What's included in the pack?
The Short Division Reasoning and Problem Solving worksheet Answer sheet
National Curriculum Objectives: (5C7b) Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
This resource is available to download with a Premium subscription.
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Reasoning and Problem Solving Divide by 4 Reasoning and Problem Solving Divide by 4 Developing 1a. 28, 32, 36 2a. Various answers, for example: Gran is putting party food on a table. She has 8 doughnuts which she shares between 4 plates. She puts 2 on each plate. 8 ÷ 4 = 2 3a. No. Asif has only used 16 counters. He needed to use 20 counters ...
This excellent diving into mastery teaching pack has been written in line with Version 3.0 of the White Rose Maths scheme of learning for year 3 autumn term block 3 small step 10: Divide by 4. Included in the pack is an easy-to-follow PowerPoint containing fluency, reasoning and problem-solving activities for your children to work through together.
Reasoning and Problem Solving Divide by 3 Reasoning and Problem Solving Divide by 3 Developing 1a. 12 2a. 12 ÷ 3 = 4 3a. She is incorrect because the books have not been divided equally. 18 ÷ 3 = 6 so there should be 6 books on each shelf. Expected 4a. 15 5a. 27 ÷ 3 = 9 6a. She is incorrect because the books have not been divided equally. 27 ...
Expected Complete comparison statements using symbols by dividing by 4 through sharing and grouping to 12 x 4. Scaffolding provided for each question with some pictorial support. Greater Depth to Complete comparison statements using symbols by dividing by 4 through sharing and grouping to 12 x 4. Questions 3, 6 and 9 (Reasoning and Problem Solving)
Explain methods and reasoning. Make each pond hold two ducks or five ducks. Make each pond hold twice as many ducks as the one before. Make each pond hold one less duck than the one before. Solve mathematical problems or puzzles. Know multiplication facts for 2 and 5 times tables. Add three or four small numbers.
Reasoning and Problem Solving Multiply by 4 Reasoning and Problem Solving Multiply by 4 Developing 1a. William has 24 pencils because 6 x 4 = 24. 2a. 4 x 2 = 8 + 0 or 4 x 3 = 8 + 4 3a. Alice -8, Bill -16 and Alfie -12 Expected 4a. Elliot has 32 bananas because 8 x 4 = 32. 5a. 4 x 6 = 16 + 8 or 4 x 5 = 16 + 4 6a. Joe -16, Esme -36 and ...
Reasoning and Problem Solving - Related Calculations - Year 3 Expected. 7a.Fill in the blanks to find the mistake that Elena has made in her fact family. 6 x = 48 80 x 6 =. ÷ 8 = 60 700 ÷ = 6. Explain her mistake. GD. 7b. Fill in the blanks to find the mistake that Aaron has made in his fact family. 6 x = 24 60 x 4 =.
Divide by 4: Reasoning and Problem Solving, Maths, Year 3, Number, Multiplication and Division, Sign Up to Download
Word Problems Year 3 Division. Help your pupils apply their understanding of division to an unfamiliar context using these worded problems. 11 questions to develop reasoning and problem solving skills. This worksheet contains 10 division questions of ascending difficulty plus one challenge question. An answer sheet is included.
Year 3 KS2 Maths Problem solving learning resources for adults, children, parents and teachers. ... Problem solving. How to solve maths problems. Find out how you can use maths to solve your problems.
Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8) Some of my favourite maths here! This section is all about putting mathematical knowledge to good use. This includes solving one-step and two-step problems involving numbers, money, measures and time, as well as following lines of enquiry and organising results in a logical order.
Reasoning and Problem Solving Multiplication and Division Consolidation -Year 3 1. 2. 33 ÷ 3 = 11 3. We would need 7 sledges. 4. The rope is 24m long. 5. 6. 7. 48 ÷ 4 = 12 The igloo will have 12 segments. Number of sledges Number of dogs 3 24 4 32 5 40 6 48 classroomsecrets.co.uk Consolidation Pack -Year 3 ANSWERS 5m Depth of the ice in ...
The Short Division Reasoning and Problem Solving worksheet. Answer sheet. National Curriculum Objectives: (5C7b) Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. This resource is available to download with a Premium subscription.
This is a fantastic Diving into Mastery teaching pack supports the White Rose Maths small step 12: 'Divide a number by 1 and itself'. This pack includes an easy-to-follow PowerPoint containing fluency, reasoning and problem-solving activities for your children to work through together, as a class. It uses visual representations to aid children's conceptual understanding and a variety of real ...
Reasoning and Problem Solving Divide 3 Digits by 1 Digit Reasoning and Problem Solving Divide 3 Digits by 1 Digit Developing 1a. 881 ÷ 2 = 440 r1 2a. 963 ÷ 3 = 321 3a. Jay is correct because 555 ÷ 5 = 111. Expected 4a. 654 ÷ 3 = 218; 654 ÷ 2 = 327; 654 ÷ 1 = 654 5a. 675 ÷ 3 = 225 6a. Mary is incorrect because 459 ÷ 9 = 51 exactly ...
This wonderful Diving into Mastery teaching pack supports the White Rose Maths small step 7: 'Divide by 3'. Included in the pack is an easy-to-follow PowerPoint and accompanying activity sheets each containing fluency, reasoning and problem-solving activities. Visual representations are used to support their understanding. This will be an invaluble time saver for any year 3 teacher to ensure ...
problem. Key numbers are in bold and underlined. They use sharing and grouping to solve the problems. They cut out word problems and show their solution beside the problem. On this sheet, children are given two-step division problems, which involve dividing by 8. Working Towards Working Within Greater Depth Reasoning & Problem Solving Divide by 8 3
Questions 3, 6 and 9 (Problem Solving) Developing Suggest an unknown number from the given clues. Using counting in 3s in order to multiply by 3 (up to 12 groups of 3). All questions have pictorial support where each digit is represented. Expected Suggest an unknown number from the given clues. Using counting in 3s in order to multiply by 3 (up ...
Reasoning and Problem Solving Divide by 100 Reasoning and Problem Solving Divide by 100 Developing 1a. Sara is incorrect. 200 ÷ 100 = 2. Her friends will have 2 lollies each. 2a. Various answers, for example: 300; 600; 900 3a. Mutya is correct. 8 x 100 = 800 Expected 4a. Sasha is incorrect. 1,600 ÷ 100 = 16 She will have 16 spools. 5a.
Here is a fantastic teaching pack which is part of Twinkl's Diving into Mastery resources supporting White Rose Maths. This particular pack complements step 10 from the multiplication and division block called: 'Divide 3-digits by 1-digit.' It explores flexible partitioning using the part-whole model. Inside this teaching pack, you will find a well-planned worksheet; that contains fluency ...
Reasoning and Problem Solving Divide by 10 Reasoning and Problem Solving Divide by 10 Developing 1a. Molly is correct because 350 ÷ 10 = 35. 2a. Various answers, for example: They ran 21 laps altogether; 7 and 14, 10 and 11, 13 and 8. 3a. Lucas is incorrect because 140 ÷ 10 = 14, not 12. Expected 4a. Kelly is incorrect because 470 ÷ 10 = 47 ...
Reasoning and Problem Solving Divide by 1 Reasoning and Problem Solving Divide by 1 Developing 1a. A is the odd one out because both B and C represent the calculation 7 ÷ 1 = 7. 2a. Freddy is incorrect because 5 grouped into 1 equals 5. 3a. Charlie would give 1 marble to each friend. The calculation would be 8 ÷ 8 = 1. Expected 4a.
Reasoning and Problem Solving Written Methods Reasoning and Problem Solving Written Methods Developing 1a. Either method can be correct as long as the reasoning makes sense, for example: The part-whole model, because you do not have to draw out the counters. 23 x 4 = 92 2a. Various answers, for example: 21 x 3 = 63 3a.