Year 7 Estimating Sums, Differences and Products Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Round each number first, then work out the estimate in your head.
1.Estimate 6,511 + 5,680 by rounding each number to the nearest 1,000.
Answer: 13,000
- 6,511 rounds to 7,000; 5,680 rounds to 6,000
- 7,000 + 6,000 = 13,000
The exact answer is 12,191, close to the estimate.
2.Estimate 88 × 77 by rounding each number to the nearest 10.
Answer: 7,200
- 88 rounds to 90; 77 rounds to 80
- 90 × 80 = 7,200
The exact answer is 6,776.
3.Estimate 99 × 6 by rounding 99 to the nearest 10.
Answer: 600
- 99 rounds to 100
- 100 × 6 = 600
The exact answer is 594.
4.Estimate 8,569 − 6,752 by rounding each number to the nearest 100.
Answer: 1,800
- 8,569 rounds to 8,600; 6,752 rounds to 6,800
- 8,600 − 6,800 = 1,800
The exact answer is 1,817, close to the estimate.
5.Estimate 98 × 31 by rounding each number to the nearest 10.
Answer: 3,000
- 98 rounds to 100; 31 rounds to 30
- 100 × 30 = 3,000
The exact answer is 3,038.
6.Estimate 61 × 58 by rounding each number to the nearest 10.
Answer: 3,600
- 61 rounds to 60; 58 rounds to 60
- 60 × 60 = 3,600
The exact answer is 3,538.
7.Estimate 7,518 + 8,174 by rounding each number to the nearest 100.
Answer: 15,700
- 7,518 rounds to 7,500; 8,174 rounds to 8,200
- 7,500 + 8,200 = 15,700
The exact answer is 15,692, close to the estimate.
8.Estimate 77 × 47 by rounding each number to the nearest 10.
Answer: 4,000
- 77 rounds to 80; 47 rounds to 50
- 80 × 50 = 4,000
The exact answer is 3,619.
9.Estimate 53 × 25 by rounding each number to the nearest 10.
Answer: 1,500
- 53 rounds to 50; 25 rounds to 30
- 50 × 30 = 1,500
The exact answer is 1,325.
10.Estimate 4,101 + 2,622 by rounding each number to the nearest 100.
Answer: 6,700
- 4,101 rounds to 4,100; 2,622 rounds to 2,600
- 4,100 + 2,600 = 6,700
The exact answer is 6,723, 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.