Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)
Real life problem solving
A collection of problem solving activities based on real life situations.
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!
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.
Fractions, decimals and divisibility
Problem solving involving fractions, decimals and tests of divisibility.
Finding facts about decimal fractions, including bar modelling.
Finding facts about decimal fractions, including using bar modelling to help.
Find half way between two decimals.
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.
Challenges and investigations
Further challenges, investigations and games requiring sound mathematical thinking and working in a systematic way.
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.