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Calculations and problem solving
Lesson 15 of 75
Review

Multi-step problems

Objective. Select operations, show a chain of reasoning and interpret the result.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Multi-step problems need more than one calculation. Read the question carefully, write down what you know and what you must find, then plan the steps in order. For example: 6 packs of 12 pens, and 15 pens are used. Step 1: 6 × 12 = 72 pens. Step 2: 72 − 15 = 57 pens remain. Finally, check the answer makes sense in the context.

Worked example

Multi-step problem: 6 packs of 12 pens are bought for a class. 15 pens are used and the rest are shared equally between 3 tables. How many pens does each table get?

Multi-step problem
Illustrated card showing Multi-step problem
  1. 1Step 1: total pens = 6 × 12 = 72.
  2. 2Step 2: pens left = 72 − 15 = 57.
  3. 3Step 3: share between 3 tables: 57 ÷ 3 = 19.
  4. 4Check: 19 × 3 + 15 = 72 ✓

Answer: 19 pens

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

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Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

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Common mistake. Pupils often stop after the first step and give 72 as the answer. Re-read the question at the end and check you have answered exactly what was asked.

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