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Symbol equations – practice for Years 2–6

Sample questions on Symbol 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
Logic
Year
Years 2–6
Curriculum area
Deduction

Question types: What is each symbol worth?

Rule: Symbol equations

The same symbols stand for the same numbers. Start with an equation that has only one symbol, or take one equation from another.

Put the number you found into the other equations.

Example: ▲ + ▲ = 10, so ▲ = 5. ▲ + ● = 12, so ● = 7.

Watch out: ▲ + ▲ + ▲ is 3 × ▲, not ▲ + 3.

Sample questions

  1. Question 1 Easy

    Equal symbols stand for equal numbers. ▲ + ▲ + ▲ = 15; ▲ + ● = 10. What is ●?

    Show the solution
    Answer: 5

    How it works: ▲ = 5, ● = 5

  2. Question 2 Normal

    Equal symbols stand for equal numbers. ▲ + ▲ = 10; ▲ + ● = 10; ● + ■ = 14. What is ■?

    Show the solution
    Answer: 9

    How it works: ▲ = 5, ● = 5, ■ = 9

  3. Question 3 Hard

    Equal symbols stand for equal numbers. ▲ + ● = 10; ● + ■ = 14; ▲ + ■ = 14. What is ●?

    Show the solution
    Answer: 5

    How it works: ▲ = 5, ● = 5, ■ = 9

Related topics

All Logic topics

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