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Challenges and Investigations Maths Worksheets For Year 6 (age 10-11)

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.

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.

 Single Step 'Real Life' Problems
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4 pages

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.

 Multi Step 'Real Life' Problems
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3 pages

Solve Problems involving Money

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

 Solve Problems involving Money
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6 pages

Solve Problems involving Length Mass or Capacity

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

 Solve Problems involving Length Mass or Capacity
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5 pages

Solve Problems involving Time

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

 Solve Problems involving Time
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6 pages

More Time Problems

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

 More Time Problems
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6 pages

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.

 Choose Appropriate Methods of Calculating (1)
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5 pages

Choose Appropriate Methods of Calculating (2)

More on choosing the most appropriate method of calculating.

 Choose Appropriate Methods of Calculating (2)
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5 pages

Recognise Patterns in Numbers and Shapes

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

 Recognise Patterns in Numbers and Shapes
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4 pages

Investigate and Predict

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

 Investigate and Predict
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6 pages

Investigate Numbers and Shapes

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

 Investigate Numbers and Shapes
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11 pages

Number Sequences

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

 Number Sequences
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5 pages

Number Patterns

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

 Number Patterns
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6 pages

Egyptian Multiplication

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

Egyptian Multiplication
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3 pages

Date Challenge: 12.12.12

A hard investigation using the date 12.12.12 as a starting point.

Date Challenge: 12.12.12
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3 pages

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