Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)

Some of the questions are quite long, but they can be answered with a single step operation.

Using bar models to help understand what to do to solve multi-step problems.

Much trickier questions as they all need more than one step to reach the right answer.

Multi-step problems with shopping.

Tricky multi-step problems on thew theme of hobbies.

Multi-step problems: using cards.

Multi-step problems: using place value charts.

Money, money, money! Lots of money questions which will need a lot of working out!

Straightforward addition of money which can be done mentally, maybe using jottings to help.

Work out the cost of the plants from the information given.

Addition of money to really stretch the brain!

Solving problems involving '3 for 2 voucher offer.

Solving money problems with 3 for 2 offers and percentages.

More percentage problems.

Tricky word problems needing more than one step to solve.

Questions all on the theme of measurement, including length, capacity and weight.

Hours, minutes seconds are all found in these questions on time.

Find the number from the clues given.

Solve multi-step problems and check by carrying out inverse operations.

Find the largest and smallest numbers and the difference between them.

Not so much the correct answer needed; more choosing the method and an explanation of how to solve the problem.

Finding facts about decimal fractions, including bar modelling.

Finding facts about decimal fractions, including using bar modelling to help.

Order decimals.

Find half way between two decimals.

Word problems with decimals.

Ordering fractions.

Some tests of divisibility are easy, such as divisible by 2, 5 or 10. Others, such as divisible by 6 or 8 are much harder.

Binary trees are often used in science, but here we use them to sort numbers.

More on odd and even numbers, plus a little bit on multiples.

Some great ideas for children to use as starting points to investigate further.

Find examples to back up general statements about numbers, shape etc.

Place the digits in the rows and columns to make the total shown in the middle.

A look at some of the maths concepts involved with investigations in year 5.