Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 — Practice Set 4 — 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.Amelia thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 30. What was the number?
Answer: 24
- 2(n − 9) = 30
- n − 9 = 15
- n = 24
2.The sum of 3 consecutive whole numbers is 60. Find the numbers.
Answer: 19, 20, 21
- n + (n + 1) + (n + 2) = 60
- 3n + 3 = 60
- n = 19
3.The sum of 4 consecutive whole numbers is 238. Find the numbers.
Answer: 58, 59, 60, 61
- n + (n + 1) + (n + 2) + (n + 3) = 238
- 4n + 6 = 238
- n = 58
4.A rectangle is 4 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 15 cm, length 19 cm
- 2(w + w + 4) = 68
- 4w + 8 = 68
- w = 15, so length = 19
5.The sum of 3 consecutive whole numbers is 108. Find the numbers.
Answer: 35, 36, 37
- n + (n + 1) + (n + 2) = 108
- 3n + 3 = 108
- n = 35
6.A rectangle is 10 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 12 cm, length 22 cm
- 2(w + w + 10) = 68
- 4w + 20 = 68
- w = 12, so length = 22
7.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
8.Noah thinks of a number, multiplies it by 5 and then adds 11. The answer is 41. Write an equation and find the number.
Answer: 6
- Let the number be n: 5n + 11 = 41
- 5n = 30
- n = 6
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.