Year 7 Estimating Sums, Differences and Products Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 place value worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Place ValueYear 7 Estimating Sums, Differences and Products Worksheet — Level 3 — Practice Set 2 — Answers
Round each number first, then work out the estimate in your head.
1.Estimate 8,249 + 1,253 by rounding each number to the nearest 100.
Answer: 9,500
- 8,249 rounds to 8,200; 1,253 rounds to 1,300
- 8,200 + 1,300 = 9,500
The exact answer is 9,502, close to the estimate.
2.Estimate 72 × 46 by rounding each number to the nearest 10.
Answer: 3,500
- 72 rounds to 70; 46 rounds to 50
- 70 × 50 = 3,500
The exact answer is 3,312.
3.Estimate 33 × 54 by rounding each number to the nearest 10.
Answer: 1,500
- 33 rounds to 30; 54 rounds to 50
- 30 × 50 = 1,500
The exact answer is 1,782.
4.Estimate 4,786 − 2,279 by rounding each number to the nearest 1,000.
Answer: 3,000
- 4,786 rounds to 5,000; 2,279 rounds to 2,000
- 5,000 − 2,000 = 3,000
The exact answer is 2,507, close to the estimate.
5.Estimate 11 × 74 by rounding each number to the nearest 10.
Answer: 700
- 11 rounds to 10; 74 rounds to 70
- 10 × 70 = 700
The exact answer is 814.
6.Estimate 56 × 93 by rounding each number to the nearest 10.
Answer: 5,400
- 56 rounds to 60; 93 rounds to 90
- 60 × 90 = 5,400
The exact answer is 5,208.
7.Estimate 8,117 − 1,323 by rounding each number to the nearest 1,000.
Answer: 7,000
- 8,117 rounds to 8,000; 1,323 rounds to 1,000
- 8,000 − 1,000 = 7,000
The exact answer is 6,794, close to the estimate.
8.Estimate 13 × 61 by rounding each number to the nearest 10.
Answer: 600
- 13 rounds to 10; 61 rounds to 60
- 10 × 60 = 600
The exact answer is 793.
9.Estimate 73 × 51 by rounding each number to the nearest 10.
Answer: 3,500
- 73 rounds to 70; 51 rounds to 50
- 70 × 50 = 3,500
The exact answer is 3,723.
10.Estimate 8,705 + 6,242 by rounding each number to the nearest 100.
Answer: 14,900
- 8,705 rounds to 8,700; 6,242 rounds to 6,200
- 8,700 + 6,200 = 14,900
The exact answer is 14,947, close to the estimate.
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.