Year 10 Equation Word Problems Worksheet — Level 3 — 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 3 — 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 86. Find the numbers.
Answer: 20, 21, 22, 23
- n + (n + 1) + (n + 2) + (n + 3) = 86
- 4n + 6 = 86
- n = 20
2.The sum of 4 consecutive whole numbers is 42. Find the numbers.
Answer: 9, 10, 11, 12
- n + (n + 1) + (n + 2) + (n + 3) = 42
- 4n + 6 = 42
- n = 9
3.The sum of 2 consecutive whole numbers is 57. Find the numbers.
Answer: 28, 29
- n + (n + 1) = 57
- 2n + 1 = 57
- n = 28
4.The sum of 4 consecutive whole numbers is 82. Find the numbers.
Answer: 19, 20, 21, 22
- n + (n + 1) + (n + 2) + (n + 3) = 82
- 4n + 6 = 82
- n = 19
5.Cooper buys some notebooks at $1.50 each and pays $3.00 for delivery. The total is $12.00. How many notebooks did Cooper buy?
Answer: 6
- 1.50n + 3.00 = 12.00
- 1.50n = 9.00
- n = 6
6.The sum of 2 consecutive whole numbers is 33. Find the numbers.
Answer: 16, 17
- n + (n + 1) = 33
- 2n + 1 = 33
- n = 16
7.The sum of 4 consecutive whole numbers is 26. Find the numbers.
Answer: 5, 6, 7, 8
- n + (n + 1) + (n + 2) + (n + 3) = 26
- 4n + 6 = 26
- n = 5
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.
Answer: width 14 cm, length 15 cm
- 2(w + w + 1) = 58
- 4w + 2 = 58
- w = 14, so length = 15
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.