DeepMaths / Fun Maths

Fun Maths Book 2 Online Learning Programme

For Year 4 and Year 5

Chapter 10: Grand Mixed Review and Puzzles

Grand Mixed Review and Puzzles

Choose the correct strategy when the question does not tell you which topic it belongs to.

Fun Maths Book 2 pages 122-1274 minutes

AI teacher

Press Start to hear a short classroom-style explanation. If sound is unavailable, the full script is shown below.

Voice: Browser voice

Workbook pages

Fun Maths Book 2 pages 122-127

Solve mixed word problems, puzzle review questions and final challenge problems.

AI explanation

The AI teacher models mixed-question thinking: read the question twice, identify the topic, choose a strategy, estimate, calculate, then check whether the answer makes sense.

  1. 1Mixed questions test your decision-making.
  2. 2First ask: what is the question really asking?
  3. 3Choose a method before calculating.
  4. 4After calculating, check whether the answer is sensible.

Think with the AI teacher

Today the question will not always tell us the topic. We will practise choosing a strategy like an independent mathematician.

Question 1

Pause 4s

What should we do before choosing an operation?

After thinking

We read the story and identify what is being asked.

Exactly. Understanding comes before calculating.

Question 2

Pause 5s

Why is estimation useful before or after a calculation?

After thinking

It helps us notice if an answer is unreasonable.

Good. Estimation is a checking tool.

Question 3

Pause 5s

If a problem has two steps, how can we keep our thinking organised?

After thinking

Write the first result clearly, then use it in the second step.

Great method. Clear working helps clear thinking.

Deep structure

What children discover

Children discover that mixed problems test decision-making, not just calculation speed.

Common mistake

Children may grab the first operation they see instead of deciding what the question means.

Future connection

Mixed review prepares students for exam-style problem solving where topics are combined and methods are not signposted.

Exam problem solvingModellingMulti-step reasoning

Animated demonstration

See the maths move

A puzzle board opens tiles for number, fraction, geometry and data clues, then combines them into a final answer path.

A puzzle board opens topic clues so children see how reading, choosing, calculating and checking work together.

Read

Step 1

Choose

Step 2

Calculate

Step 3

Check

Step 4

Guided examples

Choosing an operation

A class has 6 boxes with 24 pencils in each box. They share the pencils equally between 8 tables. How many pencils does each table get?

  1. 1.First find the total pencils: 6 x 24 = 144.
  2. 2.Then share between 8 tables: 144 รท 8.
  3. 3.Check that the answer is less than the total.
Answer: 18 pencils

Check reasonableness

A student says 398 + 205 = 503. Is this reasonable?

  1. 1.Estimate 398 as about 400.
  2. 2.400 + 205 is about 605.
  3. 3.503 is too small.
Answer: No. The correct sum is 603.

Interactive practice

Try it now

For every mixed workbook question, write a tiny plan before calculating.

0/3 correct

Which step should come first in a mixed word problem?

Estimate 49 x 21.

If an answer is impossible in the story, what should you do?

Review

Explain how estimation can help catch a calculation mistake.

Choose one workbook question and explain why your method fits the story.

Parent signal

A strong mixed-review answer includes a chosen method and a sense-check, not just a number.

You are becoming a flexible problem solver. That is more powerful than memorising.