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Word problems with equations – practice for Years 8–9

Sample questions on Word problems with equations 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
Maths
Year
Years 8–9
Curriculum area
Number and algebra

Question types: Word problem

Rule: Word problems with equations

Call the unknown x and write what the problem says about it as an equation.

Solve the equation and check the answer in the words of the problem.

Example: Three consecutive numbers add up to 105: x + (x + 1) + (x + 2) = 105, x = 34

Watch out: With ages: in 7 years everyone is 7 years older, the father and the son.

Sample questions

  1. Question 1 Easy

    I think of a number. If I multiply it by 6 and then add 29, I get 47. What is my number?

    Show the solution
    Answer: 3

    How it works: 6x + 29 = 47; 6x = 18; x = 3

  2. Question 2 Normal

    A father is 35 years older than his son. Together they are 57 years old. How old is the son?

    Show the solution
    Answer: 11

    How it works: x + (x + 35) = 57; 2x = 22; x = 11

  3. Question 3 Hard

    Three friends picked 60 kg of apples altogether. The second picked 8 kg more than the first, and the third picked twice as much as the first. How many kilograms did the first friend pick?

    Show the solution
    Answer: 13 kg

    How it works: x + (x + 8) + 2x = 60; 4x = 52; x = 13 kg

Related topics

All Maths topics

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