Grade 7 · Year 8 · Class 7 · ages 12–13 · Algebra
Number puzzles with equations: Grade 7 practice
Undoing 'I think of a number…' to find it. Eight questions at a time, instant feedback and a mastery score from 0 to 100.
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Right answers raise your mastery score (more on harder questions) and wrong ones lower it a little. Your best score is saved on this device, and in your account if you log in.
The idea in one minute
Work backwards: undo the last step first, then the step before it.
Try these on paper first
One question at each level. Tap a question to see the answer.
Easy I think of a number, multiply it by 2 and add 4. The result is 8. The number is
Answer: 2
Medium I think of a number, multiply it by 4 and add 11. The result is 67. The number is
Answer: 14
Challenge I think of a number, multiply it by 8 and add 8. The result is 176. The number is
Answer: 21
More ways to practise number puzzles with equations
- Printable number puzzles with equations worksheet with an answer key (new questions every time)
- All Grade 7 practice · Algebra worksheets
Related skills
- Two-step equations (Grade 7)
- Equations with brackets (Grade 7)
- The nth term of a sequence (Grade 7)
- One-step equations (Grade 6)
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FAQ
Number puzzles with equations: questions
What grade is number puzzles with equations?
It is usually taught in Grade 7 (Year 8 in England, Class 7 in India, ages 12–13), though schools and countries differ. Try the grade above or below if it feels too hard or too easy.
What does a number puzzles with equations question look like?
For example: "I think of a number, multiply it by 4 and add 11. The result is 67. The number is" The answer is 14. Work backwards: undo the last step first, then the step before it.
What should I learn before and after number puzzles with equations?
Before it, try the nth term of a sequence (Grade 7). After it, move on to slope between two points (Grade 8).
How can I get better at number puzzles with equations?
Work backwards: undo the last step first, then the step before it. Practise a little every day, read the hint after each wrong answer, and use the printable worksheet when you want to write it out.
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