Multi-Step Problem Solving (age 8+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Solving Big Problems in Steps

Mathematics · Mathematical Thinking · ages 8-9
Name ______________________   Date ____________
  1. Which fraction of an amount will always be more than half of it?

    • 3/5
    • 2/5
    • 1/5
  2. Before you calculate a multi-step problem, what should you do first?

    • Break the problem into smaller steps and plan their order
    • Guess an answer without reading the problem
    • Add every number you can find in the problem
  3. True or false: for a perimeter problem, you can either draw a diagram or write an equation to work out the sub-steps.

    Circle one:   True   False

  4. A garden has an area of 25 square metres. If 3/5 of it is planted with flowers, how many square metres is that?

    Answer: ______________

  5. A shop sells pencils in packs of 8. Nina buys 3 packs, then gives away 5 pencils. What is the first step to find how many pencils she has left?

    • Find the total pencils: 3 x 8
    • Subtract 5 from 3
    • Divide 8 by 5
  6. For a shape with 5 different side lengths, Zara draws a labelled sketch while Omar writes an equation adding each side. Whose method can find the perimeter?

    • Both methods can work
    • Only Zara's method works
    • Only Omar's method works
  7. Amir says, '3/5 of 30 must be less than 15, because 3 is a small number.' What is wrong with his thinking?

    • 3/5 is more than half, so 3/5 of 30 must be more than 15, not less
    • Amir forgot that 30 is an even number
    • Amir should have measured the patch instead
  8. Leo reads a two-step word problem and immediately adds every number he sees, without deciding what the problem is actually asking. What did Leo skip?

    • Planning what the problem needs before he calculates
    • Using a pencil instead of a pen
    • Writing the date at the top of his page
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Solving Big Problems in Steps W1-mt_SmghasIvbT-s1

  1. 3/5 · 3/5 is bigger than 1/2, so 3/5 of any amount is more than half of that amount.
  2. Break the problem into smaller steps and plan their order · Planning your steps first helps you know what to calculate, and in what order.
  3. True · Both are good strategies. Pick whichever helps you see the side lengths clearly.
  4. 15 · 25 divided by 5 is 5, and 5 times 3 is 15 square metres.
  5. Find the total pencils: 3 x 8 · You need the total number of pencils before you can subtract the ones Nina gave away.
  6. Both methods can work · A labelled sketch and an equation are just two ways of doing the same job: adding up every side.
  7. 3/5 is more than half, so 3/5 of 30 must be more than 15, not less · 3/5 of 30 is 18. Since 3/5 is more than half, the answer has to be more than half of 30, which is 15.
  8. Planning what the problem needs before he calculates · Without a plan, Leo might add numbers that should have been multiplied, divided, or subtracted instead.
Worksheet · LightMySky