Year 10 Equation Word Problems Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Equation Word Problems Worksheet — Level 2 — Answers
For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.
1.The sum of 3 consecutive whole numbers is 72. Find the numbers.
Answer: 23, 24, 25
- n + (n + 1) + (n + 2) = 72
- 3n + 3 = 72
- n = 23
2.A rectangle is 8 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.
Answer: width 6 cm, length 14 cm
- 2(w + w + 8) = 40
- 4w + 16 = 40
- w = 6, so length = 14
3.Zoe thinks of a number, multiplies it by 4 and then adds 12. The answer is 20. Write an equation and find the number.
Answer: 2
- Let the number be n: 4n + 12 = 20
- 4n = 8
- n = 2
4.A rectangle is 3 cm longer than it is wide. Its perimeter is 14 cm. Find its width and length.
Answer: width 2 cm, length 5 cm
- 2(w + w + 3) = 14
- 4w + 6 = 14
- w = 2, so length = 5
5.Cooper thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 21. What was the number?
Answer: 16
- 3(n − 9) = 21
- n − 9 = 7
- n = 16
6.The sum of 3 consecutive whole numbers is 18. Find the numbers.
Answer: 5, 6, 7
- n + (n + 1) + (n + 2) = 18
- 3n + 3 = 18
- n = 5
7.The sum of 3 consecutive whole numbers is 114. Find the numbers.
Answer: 37, 38, 39
- n + (n + 1) + (n + 2) = 114
- 3n + 3 = 114
- n = 37
8.Ruby thinks of a number, multiplies it by 6 and then adds 10. The answer is 130. Write an equation and find the number.
Answer: 20
- Let the number be n: 6n + 10 = 130
- 6n = 120
- n = 20
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.