Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

Problem solving.

A variety of problem solving activities including time and money.

Preview of worksheet Farmers fields

A perimeter/area investigation.

Preview of worksheet Nought to twelve

A good knowledge of the order of operations is needed for this problem solving task.

Preview of worksheet Cost of houseplants

Find the cost of different numbers of houseplants.

Preview of worksheet Buying three houseplants

Tricky addition which may need jottings to complete.

Preview of worksheet Single step 'real life' problems

Here are sets of word problems only needing one step to solve, but it is not always obvious what calculation to carry out to reach the answer.

Preview of worksheet Multi step 'real life' problems

Here are some longer problems written in words. You need to work out more than one thing to get the answers.

Preview of worksheet Solve problems involving money

Quite tricky word problems involving money, often requiring several steps to complete.

Preview of worksheet Solve problems involving length mass or capacity

A good knowledge of metric measures is needed to complete these questions.

Preview of worksheet Solve problems involving time

Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs.

Preview of worksheet More time problems

An atlas with time zones is needed for the first activity and there are line graphs on time to interpret.

Preview of worksheet Choose appropriate methods of calculating (1)

When answering these problems say which operation is needed and whether it can be done mentally, on paper or with a calculator.

Preview of worksheet Choose appropriate methods of calculating (2)

More on choosing the most appropriate method of calculating.

Preview of worksheet Meal deal

Tricky calculations working out the best and worst meal deals.

Preview of worksheet Vending machine

Purchasing various items from a vending machine. Tricky calculating with money.

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Preview of worksheet Multiply by 11

Quick and easy way to multiply 2-digit numbers by 11 - why does it work?

Preview of worksheet Four fours

Show all your calculating skills with just four fours.

Preview of worksheet Triangle numbers 1

A first look at triangle numbers.

Preview of worksheet Triangle numbers 2

More on triangle numbers.

Preview of worksheet Triangle numbers 3

Further investigations involving triangle numbers.

Preview of worksheet Recognise patterns in numbers and shapes

Some great patterns can be found when dividing by 9 or 11, and using square numbers.

Preview of worksheet Investigate and predict

Plenty of ideas to help with investigations and inventing similar problems.

Preview of worksheet Investigate numbers

More investigations on adding consecutive numbers, dividing by a half, writing a simple formula as well as shape patterns.

Preview of worksheet Investigate numbers and shapes

Investigate numbers and shapes; quite tricky.

Preview of worksheet Number sequences

Complete a variety of number sequences and say what the rule for each sequence is. Some negative number work as well.

Preview of worksheet Number patterns

Using a multiplication square to look for number patterns: there are certainly plenty of them! Further sequence work, including Fibonacci.

Preview of worksheet Egyptian multiplication

Try the Ancient Egyptian method of multiplying. Great, if you are good at adding up!

Preview of worksheet Develop calculator skills

Tips and hints on how to use a calculator to ensure correct answers.

Holiday Problem Solving

A tricky selection of resources all linked to a holiday theme.

Preview of worksheet Day trips

Very tricky to find the best options.

Preview of worksheet Skiing holiday in Switzerland

Very tricky calculations to find the best deal.

Preview of worksheet City break to Edinburgh

Finding the best deal is harder than it might seem!

Preview of worksheet Holiday to The Isle of Wight

A holiday which might cost more than it should unless there is some careful calculating.

Preview of worksheet Maths Rats trip to Llandudno

This is complicated with special offers and percentages off making finding the cheapest deal difficult to work out.

Preview of worksheet Maths Rats holiday in Snowdonia

More difficult than you might think to find the cheapest deal, including percentages.

Preview of worksheet Maths Rats holiday in Anglesey

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.

A collection of puzzles to solve - some easy and some quite tricky. Ideal for the end of term.

Preview of worksheet Tricky twenty

Place the numbers 1 to 9 in the boxes so that each side of the triangle adds up to 20.

Preview of worksheet All the digits

Replace the hexagons in the calculation with numbers: logical thinking needed.

Preview of worksheet Puzzle anagrams

Find the mathematical words in these anagrams.

Preview of worksheet Puzzle: calculator words

Turn your calculator upside down to read the words!

Preview of worksheet Dizzy digits

A calculator is needed for this fun challenge.

Preview of worksheet Puzzle: four lines

This might not seem possible but with a little imagination it can be done.

Preview of worksheet Head over tails

How many moves to get all the coins on heads?

Preview of worksheet Puzzle: Seven Up!

Nifty little puzzle with more than one solution.

Preview of worksheet Puzzle: a square triangle

More to do with square numbers than shapes!

Preview of worksheet Circle squares

Finding pairs of numbers that add up to square numbers. Tricky!

Preview of worksheet Funky 15

How many ways of making 15. Have you got all of them?

Preview of worksheet Primes to make squares

Can you make prime numbers by adding two square numbers?

Preview of worksheet Maximum change

Lots of coins and not change for £1.

Preview of worksheet Code breaker

Neat little code-breaker. Can you come up with others?

Preview of worksheet Puzzle: 12 To 15

Logical thinking needed here.

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Multiplication and Division Word Problems - SATs Style - Year 6

Multiplication and Division Word Problems - SATs Style - Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Lmilner94

Last updated

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docx, 18.16 KB

These word problems are all in a similar style to recent SATs problems focusing on multiplication and division. They were created for a Year 6 class. The answers are included.

Creative Commons "Sharealike"

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IMAGES

  1. Problem Solving and Reasoning Year 6 (Rising Stars Maths) (Paperback

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  2. 35 Maths Reasoning Questions For Year 6 SATs Practice [FREE]

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  4. Solve problems involving length mass or capacity

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  5. year 6 problem solving tasks

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COMMENTS

  1. 35 SATs Maths Questions Year 6 SATs Reasoning Practice

    Reasoning Question 31. Answer: 3/5, 3/4, 6/5. This question throws a stick in the wheels by including an improper fraction, but this is hardly unusual. These sorts of questions are just the place to find other 'curveballs' such as equivalent fractions, mixed numbers and decimals and fractions combined.

  2. Maths Mastery

    Why learn year 6 maths problem-solving? Reasoning and problem-solving are widely considered to be the most important activities in KS2 maths lessons. There's a number of reasons that it is so important and required, one being that it is part of the Year 6 Maths SATs paper. So, for children to pass they need to be confident in problem-solving.

  3. Year 6 Reasoning

    Y6 2 Fractions, Decimals and Percentages Reasoning - answers. Y6 3 Measurement Reasoning PPT. Y6 3 Measurement Reasoning. Y6 3 Measurement Reasoning - answers. Y6 4 Geometry Reasoning PPT. Y6 4 Geometry Reasoning. Y6 4 Geometry Reasoning - answers. Y6 5 Statistics Reasoning PPT. Y6 5 Statistics Reasoning.

  4. Problem solving

    Find out how the order of operations shows you which bit of a calculation to do first. Year 6 KS2 Maths Problem solving learning resources for adults, children, parents and teachers.

  5. PDF Year 6 Numbers to Ten Million Reasoning and Problem Solving

    Reasoning and Problem Solving Step 1: Numbers to Ten Million National Curriculum Objectives: Mathematics Year 6: (6N2) Read, write, order and compare numbers up to 10,000,000 Mathematics Year 6: (6N3) Determine the value of each digit in numbers up to 10,000,000 Differentiation: Questions 1, 4 and 7 (Problem Solving)

  6. 100 Reasoning and Problem Solving Questions for Year 6

    100 Reasoning and Problem-Solving SATs-style questions for Year 6 complete with an answers. 25 Addition and Subtraction Questions. 25 Fractions, Decimals and Percentages Questions. 25 Place Value Questions. 25 Shape and Angle Questions. Year 6.

  7. Year 6 Algebra Reasoning And Problem Solving Tasks

    Year 6 Bumper Bundle. A wide selection of resources (20+ lessons) which are fully resourced with all tasks needed for each lesson. Covers various aspects of Maths, and has brilliant content for revision, with lots of reasoning opportunities. ... Huge KS2 Problem Solving and Reasoning Bundle. A huge selection of resources to support problem ...

  8. Year 6 Problems Solving and Reasoning

    YEAR 6 PROBLEMS SOLVING AND REASONING - GREATER DEPTH. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. joel140907. 4.11 112 reviews. Last updated. 1 April 2019. Share this. Share through email; Share through twitter; Share through linkedin; Share through facebook; Share through pinterest; File previews.

  9. PDF 100 Reasoning and Problem Solving Questions for SATs

    Page 6 of 45 100 Reasoning & Problem Solving Questions for SATs thirdspacelearning.com 9 Circle two numbers that have a difference of 230 340 580 250 810 120 1 mark 10 7.34 + 32.08 + 403.9 = 1 mark 11 Mrs Redley spent £23,407 on a new kitchen and then spent £2,073 on her grandchildren's Christmas presents.

  10. PDF Year 6 Fraction of an Amount Reasoning and Problem Solving

    Reasoning and Problem Solving - Fraction of an Amount - Year 6 Expected. 7a.There are 720 cards in a shop. 10 of the cards in the shop are birthday. 24. cards and 5 of the cards are. 30. anniversary cards. How many cards are NOT for birthdays or.

  11. PDF Year 6 Long Division 1 Reasoning and Problem Solving

    5 x 1 7 = 8 5 1 0 x 1 7 = 1 7 0 2 0 x 1 7 = 3 4 0. E. Reasoning and Problem Solving - Long Division 1 - Year 6 Expected. 7a.There are 442 seeds in a bag and 17 pots to plant them in. Using long division, work out how many seeds will be in each pot.

  12. PDF Year 6 Prime Numbers Reasoning and Problem Solving

    Reasoning and Problem Solving - Prime Numbers - Teaching Information. 1a.Maya says, The sum of the 3rd and 5th prime number is greater than 20. D. 1b.Ted says, The sum of the 9th and 11th prime number is less than 50. D. 2a.Make all of the possible prime numbers using the digits cards below. 2 6.

  13. PDF Year 6 Ratio and Proportion Problems Reasoning and Problem Solving

    Reasoning and Problem Solving Step 7: Ratio and Proportion Problems National Curriculum Objectives: Mathematics Year 6: (6R1) Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts Mathematics Year 6: (6R2) Solve problems involving the calculation of ...

  14. Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

    Puzzle: 12 To 15. Logical thinking needed here. Plenty of problem solving to do in Year 6, together with explaining why particular methods have been chosen. Recognising patterns in number and predicting sequences are both important steps towards using algebra at High School.

  15. Decimals Reasoning and Problem Solving

    Decimals Reasoning and Problem Solving. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 394.64 KB. These problems will give your Year 6 pupils the opportunity to reason and solve problems with decimals. This is a sample resource. For a full year's worth of reasoning and problem solving for Year 6 ...

  16. PDF Year 6 Using Scale Factors Reasoning and Problem Solving

    Reasoning and Problem Solving Step 5: Using Scale Factors National Curriculum Objectives: Mathematics Year 6: (6R3) Solve problems involving similar shapes where the scale factor is known or can be found Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Find the perimeter of the original shape using the given scale factor ...

  17. PDF Year 6 Volume of a Cuboid Reasoning and Problem Solving

    A = 72cm3; B = 384cm3; C = 720cm3; D = 90cm3. Shapes A and B, B and D or A and D. 8b. w = 3cm, h = 12cm 9b. Marvin is not correct because the volume of A is 453.6cm3 and the volume of B is 846cm3. Although A looks taller, longer and wider than B, the drawings are not to scale. Reasoning and Problem Solving - Volume of a Cuboid ANSWERS. 1a.

  18. PDF Year 6 Calculating Scale Factors Reasoning and Problem Solving

    Reasoning and Problem Solving - Calculating Scale Factors - Year 6 Expected. 7a.A square has been enlarged to create shape B. Using the clues below, identify which scale factor has been used. The area of the original square is 6.25cm2. The perimeter of shape B is 25cm.

  19. UK Year 6 SATs

    147 me gusta,Video de TikTok de British Super Tutor - Mr David (@britishsupertutor): «UK Year 6 SATs - Maths - Reasoning - Solving Word Problems #solvingwordproblems #mathswordproblems #year6 #year6sats #year6sats2024».UK Year 6 SATs - Maths - Reasoning - Solving Word ProblemsUK Year 6 SATs - Maths - Reasoning - Solving Word Problemsoriginal sound - British Super Tutor - Mr David.

  20. Multiplication and Division Word Problems

    Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 18.16 KB. These word problems are all in a similar style to recent SATs problems focusing on multiplication and division. They were created for a Year 6 class. The answers are included. Creative Commons "Sharealike".