Year 11 Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 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.A rectangle is 6 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.
Answer: width 10 cm, length 16 cm
- 2(w + w + 6) = 52
- 4w + 12 = 52
- w = 10, so length = 16
2.The sum of 4 consecutive whole numbers is 50. Find the numbers.
Answer: 11, 12, 13, 14
- n + (n + 1) + (n + 2) + (n + 3) = 50
- 4n + 6 = 50
- n = 11
3.Ruby buys some notebooks at $3.50 each and pays $6.00 for delivery. The total is $23.50. How many notebooks did Ruby buy?
Answer: 5
- 3.50n + 6.00 = 23.50
- 3.50n = 17.50
- n = 5
4.A rectangle is 4 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.
Answer: width 7 cm, length 11 cm
- 2(w + w + 4) = 36
- 4w + 8 = 36
- w = 7, so length = 11
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.
Answer: width 4 cm, length 14 cm
- 2(w + w + 10) = 36
- 4w + 20 = 36
- w = 4, so length = 14
6.A rectangle is 4 cm longer than it is wide. Its perimeter is 88 cm. Find its width and length.
Answer: width 20 cm, length 24 cm
- 2(w + w + 4) = 88
- 4w + 8 = 88
- w = 20, so length = 24
7.Lucas buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $17.50. How many notebooks did Lucas buy?
Answer: 3
- 3.50n + 7.00 = 17.50
- 3.50n = 10.50
- n = 3
8.The sum of 3 consecutive whole numbers is 183. Find the numbers.
Answer: 60, 61, 62
- n + (n + 1) + (n + 2) = 183
- 3n + 3 = 183
- n = 60
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.