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Paying with coins – practice for Years 2–6

Sample questions on Paying with coins with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Logic
Year
Years 2–6
Curriculum area
Counting

Question types: Coins

Rule: Paying with coins

Fewest coins: always take the biggest coin that still fits, then carry on with what is left.

All the ways: go through the number of 5p coins, then 2p coins; 1p coins make up the rest.

Example: 38p = 20p + 10p + 5p + 2p + 1p: 5 coins are enough.

Watch out: The order of the coins does not matter: 2p + 1p and 1p + 2p are one and the same way.

Sample questions

  1. Question 1 Easy

    We have plenty of 1p, 2p, 5p, 10p, 20p and 50p coins. What is the smallest number of coins that make exactly 16p?

    Show the solution
    Answer: 3

    How it works: 16p = 10 + 5 + 1

  2. Question 2 Normal

    We have plenty of 1p, 2p, 5p, 10p, 20p and 50p coins. What is the smallest number of coins that make exactly 82p?

    Show the solution
    Answer: 4

    How it works: 82p = 50 + 20 + 10 + 2

  3. Question 3 Hard

    In how many ways can we pay exactly 12p using only 1p, 2p and 5p coins? The order of the coins does not matter.

    Show the solution
    Answer: 13

    How it works: Count by the number of 5p and 2p coins (1p coins make up the rest): 13 ways.

Related topics

All Logic topics

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