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 4 consecutive whole numbers is 34. Find the numbers.
Answer: 7, 8, 9, 10
- n + (n + 1) + (n + 2) + (n + 3) = 34
- 4n + 6 = 34
- n = 7
2.Zoe thinks of a number, multiplies it by 3 and then adds 2. The answer is 62. Write an equation and find the number.
Answer: 20
- Let the number be n: 3n + 2 = 62
- 3n = 60
- n = 20
3.The sum of 3 consecutive whole numbers is 81. Find the numbers.
Answer: 26, 27, 28
- n + (n + 1) + (n + 2) = 81
- 3n + 3 = 81
- n = 26
4.Ruby thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 72. What was the number?
Answer: 20
- 4(n − 2) = 72
- n − 2 = 18
- n = 20
5.Grace thinks of a number, multiplies it by 2 and then adds 5. The answer is 45. Write an equation and find the number.
Answer: 20
- Let the number be n: 2n + 5 = 45
- 2n = 40
- n = 20
6.The sum of 2 consecutive whole numbers is 85. Find the numbers.
Answer: 42, 43
- n + (n + 1) = 85
- 2n + 1 = 85
- n = 42
7.A rectangle is 7 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 15 cm, length 22 cm
- 2(w + w + 7) = 74
- 4w + 14 = 74
- w = 15, so length = 22
8.The sum of 2 consecutive whole numbers is 93. Find the numbers.
Answer: 46, 47
- n + (n + 1) = 93
- 2n + 1 = 93
- n = 46
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.