100 marks · 5 sections · grade-locked (no Grade 2+ techniques required)
Name:Date:Score: / 100
Grade-locked: every question uses the six estimation facts (round to 1 sig fig; estimate +, −, ×, ÷; the ≈ symbol; real-world estimation). No bounds/error, no rounding to 2+ sig figs.
Band A
Section — Round to 1 sig fig
Whole numbers of different sizes
Q1.Round 274 to 1 significant figure.
(1 mark)
Read it. Round 274 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 274.
Do the maths. 274 rounded to 1 sig fig = 300.
Answer. 300
Answer: 300
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q2.Round 385 to 1 significant figure.
(1 mark)
Read it. Round 385 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 385.
Do the maths. 385 rounded to 1 sig fig = 400.
Answer. 400
Answer: 400
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q3.Round 456 to 1 significant figure.
(1 mark)
Read it. Round 456 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 456.
Do the maths. 456 rounded to 1 sig fig = 500.
Answer. 500
Answer: 500
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q4.Round 621 to 1 significant figure.
(1 mark)
Read it. Round 621 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 621.
Do the maths. 621 rounded to 1 sig fig = 600.
Answer. 600
Answer: 600
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q5.Round 789 to 1 significant figure.
(1 mark)
Read it. Round 789 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 789.
Do the maths. 789 rounded to 1 sig fig = 800.
Answer. 800
Answer: 800
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q6.Round 912 to 1 significant figure.
(1 mark)
Read it. Round 912 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 912.
Do the maths. 912 rounded to 1 sig fig = 900.
Answer. 900
Answer: 900
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q7.Round 148 to 1 significant figure.
(1 mark)
Read it. Round 148 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 148.
Do the maths. 148 rounded to 1 sig fig = 100.
Answer. 100
Answer: 100
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q8.Round 235 to 1 significant figure.
(1 mark)
Read it. Round 235 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 235.
Do the maths. 235 rounded to 1 sig fig = 200.
Answer. 200
Answer: 200
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q9.Round 367 to 1 significant figure.
(1 mark)
Read it. Round 367 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 367.
Do the maths. 367 rounded to 1 sig fig = 400.
Answer. 400
Answer: 400
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q10.Round 508 to 1 significant figure.
(1 mark)
Read it. Round 508 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 508.
Do the maths. 508 rounded to 1 sig fig = 500.
Answer. 500
Answer: 500
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q11.Round 1250 to 1 significant figure.
(1 mark)
Read it. Round 1250 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 1250.
Do the maths. 1250 rounded to 1 sig fig = 1000.
Answer. 1000
Answer: 1000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q12.Round 2740 to 1 significant figure.
(1 mark)
Read it. Round 2740 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 2740.
Do the maths. 2740 rounded to 1 sig fig = 3000.
Answer. 3000
Answer: 3000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q13.Round 3860 to 1 significant figure.
(1 mark)
Read it. Round 3860 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 3860.
Do the maths. 3860 rounded to 1 sig fig = 4000.
Answer. 4000
Answer: 4000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q14.Round 4520 to 1 significant figure.
(1 mark)
Read it. Round 4520 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 4520.
Do the maths. 4520 rounded to 1 sig fig = 5000.
Answer. 5000
Answer: 5000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q15.Round 6180 to 1 significant figure.
(1 mark)
Read it. Round 6180 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 6180.
Do the maths. 6180 rounded to 1 sig fig = 6000.
Answer. 6000
Answer: 6000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q16.Round 7830 to 1 significant figure.
(1 mark)
Read it. Round 7830 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 7830.
Do the maths. 7830 rounded to 1 sig fig = 8000.
Answer. 8000
Answer: 8000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q17.Round 8940 to 1 significant figure.
(1 mark)
Read it. Round 8940 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 8940.
Do the maths. 8940 rounded to 1 sig fig = 9000.
Answer. 9000
Answer: 9000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q18.Round 9350 to 1 significant figure.
(1 mark)
Read it. Round 9350 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 9350.
Do the maths. 9350 rounded to 1 sig fig = 9000.
Answer. 9000
Answer: 9000
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q19.Round 47 to 1 significant figure.
(1 mark)
Read it. Round 47 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 47.
Do the maths. 47 rounded to 1 sig fig = 50.
Answer. 50
Answer: 50
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Q20.Round 82 to 1 significant figure.
(1 mark)
Read it. Round 82 to 1 significant figure.
The fact. Keep the first digit; zero the rest, using the round-up rule.
The numbers. 82.
Do the maths. 82 rounded to 1 sig fig = 80.
Answer. 80
Answer: 80
Watch outLook at the NEXT digit to decide round up or down (5 or more rounds up).
Band B
Section — Estimate addition
Round each; then add
Q21.Estimate 274 + 189 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 274 + 189 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 274 → 300. 189 → 200.
Do the maths. 300 + 200 = 500.
Answer. 500
Answer: 500
Watch outThe estimate is CLOSE, not exact.
Q22.Estimate 385 + 213 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 385 + 213 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 385 → 400. 213 → 200.
Do the maths. 400 + 200 = 600.
Answer. 600
Answer: 600
Watch outThe estimate is CLOSE, not exact.
Q23.Estimate 456 + 128 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 456 + 128 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 456 → 500. 128 → 100.
Do the maths. 500 + 100 = 600.
Answer. 600
Answer: 600
Watch outThe estimate is CLOSE, not exact.
Q24.Estimate 621 + 348 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 621 + 348 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 621 → 600. 348 → 300.
Do the maths. 600 + 300 = 900.
Answer. 900
Answer: 900
Watch outThe estimate is CLOSE, not exact.
Q25.Estimate 789 + 156 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 789 + 156 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 789 → 800. 156 → 200.
Do the maths. 800 + 200 = 1000.
Answer. 1000
Answer: 1000
Watch outThe estimate is CLOSE, not exact.
Q26.Estimate 1250 + 385 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 1250 + 385 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 1250 → 1000. 385 → 400.
Do the maths. 1000 + 400 = 1400.
Answer. 1400
Answer: 1400
Watch outThe estimate is CLOSE, not exact.
Q27.Estimate 2740 + 519 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 2740 + 519 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 2740 → 3000. 519 → 500.
Do the maths. 3000 + 500 = 3500.
Answer. 3500
Answer: 3500
Watch outThe estimate is CLOSE, not exact.
Q28.Estimate 3860 + 745 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 3860 + 745 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 3860 → 4000. 745 → 700.
Do the maths. 4000 + 700 = 4700.
Answer. 4700
Answer: 4700
Watch outThe estimate is CLOSE, not exact.
Q29.Estimate 856 + 439 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 856 + 439 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 856 → 900. 439 → 400.
Do the maths. 900 + 400 = 1300.
Answer. 1300
Answer: 1300
Watch outThe estimate is CLOSE, not exact.
Q30.Estimate 912 + 267 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 912 + 267 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 912 → 900. 267 → 300.
Do the maths. 900 + 300 = 1200.
Answer. 1200
Answer: 1200
Watch outThe estimate is CLOSE, not exact.
Band B
Section — Estimate + and −
Add or subtract
Q31.Estimate 435 + 268 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 435 + 268 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 435 → 400. 268 → 300.
Do the maths. 400 + 300 = 700.
Answer. 700
Answer: 700
Watch outFollow the rounding first.
Q32.Estimate 617 + 384 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 617 + 384 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 617 → 600. 384 → 400.
Do the maths. 600 + 400 = 1000.
Answer. 1000
Answer: 1000
Watch outFollow the rounding first.
Q33.Estimate 856 - 439 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 856 - 439 by rounding each to 1 sig fig.
The fact. Round each, then subtract.
The numbers. 856 → 900. 439 → 400.
Do the maths. 900 - 400 = 500.
Answer. 500
Answer: 500
Watch outFollow the rounding first.
Q34.Estimate 789 - 245 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 789 - 245 by rounding each to 1 sig fig.
The fact. Round each, then subtract.
The numbers. 789 → 800. 245 → 200.
Do the maths. 800 - 200 = 600.
Answer. 600
Answer: 600
Watch outFollow the rounding first.
Q35.Estimate 1250 + 385 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 1250 + 385 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 1250 → 1000. 385 → 400.
Do the maths. 1000 + 400 = 1400.
Answer. 1400
Answer: 1400
Watch outFollow the rounding first.
Q36.Estimate 2740 - 519 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 2740 - 519 by rounding each to 1 sig fig.
The fact. Round each, then subtract.
The numbers. 2740 → 3000. 519 → 500.
Do the maths. 3000 - 500 = 2500.
Answer. 2500
Answer: 2500
Watch outFollow the rounding first.
Q37.Estimate 148 + 235 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 148 + 235 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 148 → 100. 235 → 200.
Do the maths. 100 + 200 = 300.
Answer. 300
Answer: 300
Watch outFollow the rounding first.
Q38.Estimate 921 - 348 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 921 - 348 by rounding each to 1 sig fig.
The fact. Round each, then subtract.
The numbers. 921 → 900. 348 → 300.
Do the maths. 900 - 300 = 600.
Answer. 600
Answer: 600
Watch outFollow the rounding first.
Q39.Estimate 3860 + 745 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 3860 + 745 by rounding each to 1 sig fig.
The fact. Round each, then add.
The numbers. 3860 → 4000. 745 → 700.
Do the maths. 4000 + 700 = 4700.
Answer. 4700
Answer: 4700
Watch outFollow the rounding first.
Q40.Estimate 5670 - 2130 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 5670 - 2130 by rounding each to 1 sig fig.
The fact. Round each, then subtract.
The numbers. 5670 → 6000. 2130 → 2000.
Do the maths. 6000 - 2000 = 4000.
Answer. 4000
Answer: 4000
Watch outFollow the rounding first.
Band C
Section — Estimate × and ÷
20 mixed calculations
Q41.Estimate 82 × 39 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 82 × 39 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 82 → 80. 39 → 40.
Do the maths. 80 × 40 = 3200.
Answer. 3200
Answer: 3200
Watch outRounded numbers are easier to multiply or divide.
Q42.Estimate 68 × 42 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 68 × 42 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 68 → 70. 42 → 40.
Do the maths. 70 × 40 = 2800.
Answer. 2800
Answer: 2800
Watch outRounded numbers are easier to multiply or divide.
Q43.Estimate 195 × 47 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 195 × 47 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 195 → 200. 47 → 50.
Do the maths. 200 × 50 = 10000.
Answer. 10000
Answer: 10000
Watch outRounded numbers are easier to multiply or divide.
Q44.Estimate 312 × 28 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 312 × 28 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 312 → 300. 28 → 30.
Do the maths. 300 × 30 = 9000.
Answer. 9000
Answer: 9000
Watch outRounded numbers are easier to multiply or divide.
Q45.Estimate 425 × 19 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 425 × 19 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 425 → 400. 19 → 20.
Do the maths. 400 × 20 = 8000.
Answer. 8000
Answer: 8000
Watch outRounded numbers are easier to multiply or divide.
Q46.Estimate 51 × 28 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 51 × 28 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 51 → 50. 28 → 30.
Do the maths. 50 × 30 = 1500.
Answer. 1500
Answer: 1500
Watch outRounded numbers are easier to multiply or divide.
Q47.Estimate 87 × 63 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 87 × 63 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 87 → 90. 63 → 60.
Do the maths. 90 × 60 = 5400.
Answer. 5400
Answer: 5400
Watch outRounded numbers are easier to multiply or divide.
Q48.Estimate 145 × 39 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 145 × 39 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 145 → 100. 39 → 40.
Do the maths. 100 × 40 = 4000.
Answer. 4000
Answer: 4000
Watch outRounded numbers are easier to multiply or divide.
Q49.Estimate 275 × 42 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 275 × 42 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 275 → 300. 42 → 40.
Do the maths. 300 × 40 = 12000.
Answer. 12000
Answer: 12000
Watch outRounded numbers are easier to multiply or divide.
Q50.Estimate 89 × 51 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 89 × 51 by rounding each to 1 sig fig.
The fact. Round each, then multiply.
The numbers. 89 → 90. 51 → 50.
Do the maths. 90 × 50 = 4500.
Answer. 4500
Answer: 4500
Watch outRounded numbers are easier to multiply or divide.
Q51.Estimate 621 ÷ 29 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 621 ÷ 29 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 621 → 600. 29 → 30.
Do the maths. 600 ÷ 30 = 20.
Answer. 20
Answer: 20
Watch outRounded numbers are easier to multiply or divide.
Q52.Estimate 856 ÷ 42 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 856 ÷ 42 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 856 → 900. 42 → 40.
Do the maths. 900 ÷ 40 = 22.5.
Answer. 22.5
Answer: 22.5
Watch outRounded numbers are easier to multiply or divide.
Q53.Estimate 435 ÷ 21 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 435 ÷ 21 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 435 → 400. 21 → 20.
Do the maths. 400 ÷ 20 = 20.
Answer. 20
Answer: 20
Watch outRounded numbers are easier to multiply or divide.
Q54.Estimate 782 ÷ 39 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 782 ÷ 39 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 782 → 800. 39 → 40.
Do the maths. 800 ÷ 40 = 20.
Answer. 20
Answer: 20
Watch outRounded numbers are easier to multiply or divide.
Q55.Estimate 1210 ÷ 28 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 1210 ÷ 28 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 1210 → 1000. 28 → 30.
Do the maths. 1000 ÷ 30 = 33.333333.
Answer. 33.333333
Answer: 33.333333
Watch outRounded numbers are easier to multiply or divide.
Q56.Estimate 895 ÷ 31 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 895 ÷ 31 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 895 → 900. 31 → 30.
Do the maths. 900 ÷ 30 = 30.
Answer. 30
Answer: 30
Watch outRounded numbers are easier to multiply or divide.
Q57.Estimate 275 ÷ 48 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 275 ÷ 48 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 275 → 300. 48 → 50.
Do the maths. 300 ÷ 50 = 6.
Answer. 6
Answer: 6
Watch outRounded numbers are easier to multiply or divide.
Q58.Estimate 4820 ÷ 118 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 4820 ÷ 118 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 4820 → 5000. 118 → 100.
Do the maths. 5000 ÷ 100 = 50.
Answer. 50
Answer: 50
Watch outRounded numbers are easier to multiply or divide.
Q59.Estimate 3670 ÷ 89 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 3670 ÷ 89 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 3670 → 4000. 89 → 90.
Do the maths. 4000 ÷ 90 = 44.444444.
Answer. 44.444444
Answer: 44.444444
Watch outRounded numbers are easier to multiply or divide.
Q60.Estimate 728 ÷ 38 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 728 ÷ 38 by rounding each to 1 sig fig.
The fact. Round each, then divide.
The numbers. 728 → 700. 38 → 40.
Do the maths. 700 ÷ 40 = 17.5.
Answer. 17.5
Answer: 17.5
Watch outRounded numbers are easier to multiply or divide.
Band D
Section — Mixed estimation with diagrams
All four operations
Q61.Estimate 375 + 428 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 375 + 428 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 375 → 400. 428 → 400.
Do the maths. 400 + 400 = 800.
Answer. 800
Answer: 800
Watch outSame method regardless of operation.
Q62.Estimate 892 - 156 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 892 - 156 by rounding each to 1 sig fig.
The fact. Round each, then apply -.
The numbers. 892 → 900. 156 → 200.
Do the maths. 900 - 200 = 700.
Answer. 700
Answer: 700
Watch outSame method regardless of operation.
Q63.Estimate 47 × 22 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 47 × 22 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 47 → 50. 22 → 20.
Do the maths. 50 × 20 = 1000.
Answer. 1000
Answer: 1000
Watch outSame method regardless of operation.
Q64.Estimate 615 ÷ 28 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 615 ÷ 28 by rounding each to 1 sig fig.
The fact. Round each, then apply ÷.
The numbers. 615 → 600. 28 → 30.
Do the maths. 600 ÷ 30 = 20.
Answer. 20
Answer: 20
Watch outSame method regardless of operation.
Q65.Estimate 82 × 31 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 82 × 31 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 82 → 80. 31 → 30.
Do the maths. 80 × 30 = 2400.
Answer. 2400
Answer: 2400
Watch outSame method regardless of operation.
Q66.Estimate 2450 + 385 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 2450 + 385 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 2450 → 2000. 385 → 400.
Do the maths. 2000 + 400 = 2400.
Answer. 2400
Answer: 2400
Watch outSame method regardless of operation.
Q67.Estimate 3670 - 1120 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 3670 - 1120 by rounding each to 1 sig fig.
The fact. Round each, then apply -.
The numbers. 3670 → 4000. 1120 → 1000.
Do the maths. 4000 - 1000 = 3000.
Answer. 3000
Answer: 3000
Watch outSame method regardless of operation.
Q68.Estimate 815 ÷ 39 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 815 ÷ 39 by rounding each to 1 sig fig.
The fact. Round each, then apply ÷.
The numbers. 815 → 800. 39 → 40.
Do the maths. 800 ÷ 40 = 20.
Answer. 20
Answer: 20
Watch outSame method regardless of operation.
Q69.Estimate 195 × 42 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 195 × 42 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 195 → 200. 42 → 40.
Do the maths. 200 × 40 = 8000.
Answer. 8000
Answer: 8000
Watch outSame method regardless of operation.
Q70.Estimate 4520 + 895 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 4520 + 895 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 4520 → 5000. 895 → 900.
Do the maths. 5000 + 900 = 5900.
Answer. 5900
Answer: 5900
Watch outSame method regardless of operation.
Band D
Section — Mixed estimation no diagrams
Quick fire practice
Q71.Estimate 128 + 375 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 128 + 375 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 128 → 100. 375 → 400.
Do the maths. 100 + 400 = 500.
Answer. 500
Answer: 500
Watch outPractice makes this quicker.
Q72.Estimate 892 - 456 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 892 - 456 by rounding each to 1 sig fig.
The fact. Round each, then apply -.
The numbers. 892 → 900. 456 → 500.
Do the maths. 900 - 500 = 400.
Answer. 400
Answer: 400
Watch outPractice makes this quicker.
Q73.Estimate 63 × 28 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 63 × 28 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 63 → 60. 28 → 30.
Do the maths. 60 × 30 = 1800.
Answer. 1800
Answer: 1800
Watch outPractice makes this quicker.
Q74.Estimate 445 ÷ 21 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 445 ÷ 21 by rounding each to 1 sig fig.
The fact. Round each, then apply ÷.
The numbers. 445 → 400. 21 → 20.
Do the maths. 400 ÷ 20 = 20.
Answer. 20
Answer: 20
Watch outPractice makes this quicker.
Q75.Estimate 82 × 47 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 82 × 47 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 82 → 80. 47 → 50.
Do the maths. 80 × 50 = 4000.
Answer. 4000
Answer: 4000
Watch outPractice makes this quicker.
Q76.Estimate 1875 + 425 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 1875 + 425 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 1875 → 2000. 425 → 400.
Do the maths. 2000 + 400 = 2400.
Answer. 2400
Answer: 2400
Watch outPractice makes this quicker.
Q77.Estimate 3670 - 892 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 3670 - 892 by rounding each to 1 sig fig.
The fact. Round each, then apply -.
The numbers. 3670 → 4000. 892 → 900.
Do the maths. 4000 - 900 = 3100.
Answer. 3100
Answer: 3100
Watch outPractice makes this quicker.
Q78.Estimate 615 ÷ 33 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 615 ÷ 33 by rounding each to 1 sig fig.
The fact. Round each, then apply ÷.
The numbers. 615 → 600. 33 → 30.
Do the maths. 600 ÷ 30 = 20.
Answer. 20
Answer: 20
Watch outPractice makes this quicker.
Q79.Estimate 145 × 22 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 145 × 22 by rounding each to 1 sig fig.
The fact. Round each, then apply ×.
The numbers. 145 → 100. 22 → 20.
Do the maths. 100 × 20 = 2000.
Answer. 2000
Answer: 2000
Watch outPractice makes this quicker.
Q80.Estimate 5680 + 720 by rounding each to 1 sig fig.
(1 mark)
Read it. Estimate 5680 + 720 by rounding each to 1 sig fig.
The fact. Round each, then apply +.
The numbers. 5680 → 6000. 720 → 700.
Do the maths. 6000 + 700 = 6700.
Answer. 6700
Answer: 6700
Watch outPractice makes this quicker.
Band E
Section — Real-world estimation
Money totals and is-enough problems
Q81.You buy two items costing £4.85 and £6.3. Estimate the total (in £).
(1 mark)
Read it. You buy two items costing £4.85 and £6.3. Estimate the total (in £).
The fact. Round each, then add.
The numbers. £4.85, £6.3.
Do the maths. £4.85 → £5. £6.3 → £6. Total ≈ £11.
Answer. 11
Answer: 11
Watch outFor money, rounding to £1 is usually fine.
Q82.You buy two items costing £3.75 and £8.2. Estimate the total (in £).
(1 mark)
Read it. You buy two items costing £3.75 and £8.2. Estimate the total (in £).
The fact. Round each, then add.
The numbers. £3.75, £8.2.
Do the maths. £3.75 → £4. £8.2 → £8. Total ≈ £12.
Answer. 12
Answer: 12
Watch outFor money, rounding to £1 is usually fine.
Q83.You buy 3 items at £6.75 each. Estimate the total (in £).
(1 mark)
Read it. You buy 3 items at £6.75 each. Estimate the total (in £).
The fact. Round the price, keep the count.
The numbers. 3 × £6.75.
Do the maths. £6.75 → £7. 3 × £7 = £21.
Answer. 21
Answer: 21
Watch outIf the count is small (like 3 or 5), leave it as is.
Q84.You buy 4 items at £3.15 each. Estimate the total (in £).
(1 mark)
Read it. You buy 4 items at £3.15 each. Estimate the total (in £).
The fact. Round the price, keep the count.
The numbers. 4 × £3.15.
Do the maths. £3.15 → £3. 4 × £3 = £12.
Answer. 12
Answer: 12
Watch outIf the count is small (like 3 or 5), leave it as is.
Q85.You buy 5 items at £8.9 each. Estimate the total (in £).
(1 mark)
Read it. You buy 5 items at £8.9 each. Estimate the total (in £).
The fact. Round the price, keep the count.
The numbers. 5 × £8.9.
Do the maths. £8.9 → £9. 5 × £9 = £45.
Answer. 45
Answer: 45
Watch outIf the count is small (like 3 or 5), leave it as is.
Q86.You buy two items costing £12.6 and £7.85. Estimate the total (in £).
(1 mark)
Read it. You buy two items costing £12.6 and £7.85. Estimate the total (in £).
The fact. Round each, then add.
The numbers. £12.6, £7.85.
Do the maths. £12.6 → £10. £7.85 → £8. Total ≈ £18.
Answer. 18
Answer: 18
Watch outFor money, rounding to £1 is usually fine.
Q87.You buy two items costing £24.5 and £15.75. Estimate the total (in £).
(1 mark)
Read it. You buy two items costing £24.5 and £15.75. Estimate the total (in £).
The fact. Round each, then add.
The numbers. £24.5, £15.75.
Do the maths. £24.5 → £20. £15.75 → £20. Total ≈ £40.
Answer. 40
Answer: 40
Watch outFor money, rounding to £1 is usually fine.
Q88.You buy 6 items at £2.99 each. Estimate the total (in £).
(1 mark)
Read it. You buy 6 items at £2.99 each. Estimate the total (in £).
The fact. Round the price, keep the count.
The numbers. 6 × £2.99.
Do the maths. £2.99 → £3. 6 × £3 = £18.
Answer. 18
Answer: 18
Watch outIf the count is small (like 3 or 5), leave it as is.
Q89.You buy 8 items at £4.25 each. Estimate the total (in £).
(1 mark)
Read it. You buy 8 items at £4.25 each. Estimate the total (in £).
The fact. Round the price, keep the count.
The numbers. 8 × £4.25.
Do the maths. £4.25 → £4. 8 × £4 = £32.
Answer. 32
Answer: 32
Watch outIf the count is small (like 3 or 5), leave it as is.
Q90.You buy two items costing £9.75 and £5.1. Estimate the total (in £).
(1 mark)
Read it. You buy two items costing £9.75 and £5.1. Estimate the total (in £).
The fact. Round each, then add.
The numbers. £9.75, £5.1.
Do the maths. £9.75 → £10. £5.1 → £5. Total ≈ £15.
Answer. 15
Answer: 15
Watch outFor money, rounding to £1 is usually fine.
Q91.You want to buy 3 items at £6.75 each. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 3 items at £6.75 each. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £21. Have £20.
Do the maths. Estimate cost: ≈ £21. You have £20. £20 < £21 → NOT ENOUGH.
Answer. 0
Answer: 0
Watch outEstimates give a quick check. Close calls need the exact answer.
Q92.You want to buy 2 items at £7.20 each and a bag for £0.85. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 2 items at £7.20 each and a bag for £0.85. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £15. Have £20.
Do the maths. Estimate cost: ≈ £15. You have £20. £20 ≥ £15 → ENOUGH.
Answer. 1
Answer: 1
Watch outEstimates give a quick check. Close calls need the exact answer.
Q93.You want to buy a phone case at £8.50 and a charger at £22.90. You have £25. Is £25 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy a phone case at £8.50 and a charger at £22.90. You have £25. Is £25 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £30. Have £25.
Do the maths. Estimate cost: ≈ £30. You have £25. £25 < £30 → NOT ENOUGH.
Answer. 0
Answer: 0
Watch outEstimates give a quick check. Close calls need the exact answer.
Q94.You want to buy 2 books at £8.99 each. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 2 books at £8.99 each. You have £20. Is £20 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £18. Have £20.
Do the maths. Estimate cost: ≈ £18. You have £20. £20 ≥ £18 → ENOUGH.
Answer. 1
Answer: 1
Watch outEstimates give a quick check. Close calls need the exact answer.
Q95.You want to buy 3 shirts at £15 each. You have £40. Is £40 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 3 shirts at £15 each. You have £40. Is £40 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £45. Have £40.
Do the maths. Estimate cost: ≈ £45. You have £40. £40 < £45 → NOT ENOUGH.
Answer. 0
Answer: 0
Watch outEstimates give a quick check. Close calls need the exact answer.
Q96.You want to buy 2 kids' meals at £4.75 and a pizza at £27.50. You have £50. Is £50 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 2 kids' meals at £4.75 and a pizza at £27.50. You have £50. Is £50 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £36. Have £50.
Do the maths. Estimate cost: ≈ £36. You have £50. £50 ≥ £36 → ENOUGH.
Answer. 1
Answer: 1
Watch outEstimates give a quick check. Close calls need the exact answer.
Q97.You want to buy 4 pens at £2.85 each. You have £10. Is £10 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 4 pens at £2.85 each. You have £10. Is £10 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £12. Have £10.
Do the maths. Estimate cost: ≈ £12. You have £10. £10 < £12 → NOT ENOUGH.
Answer. 0
Answer: 0
Watch outEstimates give a quick check. Close calls need the exact answer.
Q98.You want to buy 2 sandwiches at £3.85 each. You have £10. Is £10 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 2 sandwiches at £3.85 each. You have £10. Is £10 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £8. Have £10.
Do the maths. Estimate cost: ≈ £8. You have £10. £10 ≥ £8 → ENOUGH.
Answer. 1
Answer: 1
Watch outEstimates give a quick check. Close calls need the exact answer.
Q99.You want to buy 4 trainers at £24.99 each. You have £80. Is £80 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 4 trainers at £24.99 each. You have £80. Is £80 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £100. Have £80.
Do the maths. Estimate cost: ≈ £100. You have £80. £80 < £100 → NOT ENOUGH.
Answer. 0
Answer: 0
Watch outEstimates give a quick check. Close calls need the exact answer.
Q100.You want to buy 3 t-shirts at £19.50 each. You have £100. Is £100 enough? Type 1 for YES, 0 for NO.
(1 mark)
Read it. You want to buy 3 t-shirts at £19.50 each. You have £100. Is £100 enough? Type 1 for YES, 0 for NO.
The fact. Estimate → compare.
The numbers. Need ≈ £60. Have £100.
Do the maths. Estimate cost: ≈ £60. You have £100. £100 ≥ £60 → ENOUGH.
Answer. 1
Answer: 1
Watch outEstimates give a quick check. Close calls need the exact answer.
Answer key — all 100
The rule and the working for each question.
Q
Answer
Type
Working
Q1
300
round_1sf
274 rounded to 1 sig fig = 300.
Q2
400
round_1sf
385 rounded to 1 sig fig = 400.
Q3
500
round_1sf
456 rounded to 1 sig fig = 500.
Q4
600
round_1sf
621 rounded to 1 sig fig = 600.
Q5
800
round_1sf
789 rounded to 1 sig fig = 800.
Q6
900
round_1sf
912 rounded to 1 sig fig = 900.
Q7
100
round_1sf
148 rounded to 1 sig fig = 100.
Q8
200
round_1sf
235 rounded to 1 sig fig = 200.
Q9
400
round_1sf
367 rounded to 1 sig fig = 400.
Q10
500
round_1sf
508 rounded to 1 sig fig = 500.
Q11
1000
round_1sf
1250 rounded to 1 sig fig = 1000.
Q12
3000
round_1sf
2740 rounded to 1 sig fig = 3000.
Q13
4000
round_1sf
3860 rounded to 1 sig fig = 4000.
Q14
5000
round_1sf
4520 rounded to 1 sig fig = 5000.
Q15
6000
round_1sf
6180 rounded to 1 sig fig = 6000.
Q16
8000
round_1sf
7830 rounded to 1 sig fig = 8000.
Q17
9000
round_1sf
8940 rounded to 1 sig fig = 9000.
Q18
9000
round_1sf
9350 rounded to 1 sig fig = 9000.
Q19
50
round_1sf
47 rounded to 1 sig fig = 50.
Q20
80
round_1sf
82 rounded to 1 sig fig = 80.
Q21
500
estimate_add
300 + 200 = 500.
Q22
600
estimate_add
400 + 200 = 600.
Q23
600
estimate_add
500 + 100 = 600.
Q24
900
estimate_add
600 + 300 = 900.
Q25
1000
estimate_add
800 + 200 = 1000.
Q26
1400
estimate_add
1000 + 400 = 1400.
Q27
3500
estimate_add
3000 + 500 = 3500.
Q28
4700
estimate_add
4000 + 700 = 4700.
Q29
1300
estimate_add
900 + 400 = 1300.
Q30
1200
estimate_add
900 + 300 = 1200.
Q31
700
estimate_add
400 + 300 = 700.
Q32
1000
estimate_add
600 + 400 = 1000.
Q33
500
estimate_sub
900 - 400 = 500.
Q34
600
estimate_sub
800 - 200 = 600.
Q35
1400
estimate_add
1000 + 400 = 1400.
Q36
2500
estimate_sub
3000 - 500 = 2500.
Q37
300
estimate_add
100 + 200 = 300.
Q38
600
estimate_sub
900 - 300 = 600.
Q39
4700
estimate_add
4000 + 700 = 4700.
Q40
4000
estimate_sub
6000 - 2000 = 4000.
Q41
3200
estimate_mul
80 × 40 = 3200.
Q42
2800
estimate_mul
70 × 40 = 2800.
Q43
10000
estimate_mul
200 × 50 = 10000.
Q44
9000
estimate_mul
300 × 30 = 9000.
Q45
8000
estimate_mul
400 × 20 = 8000.
Q46
1500
estimate_mul
50 × 30 = 1500.
Q47
5400
estimate_mul
90 × 60 = 5400.
Q48
4000
estimate_mul
100 × 40 = 4000.
Q49
12000
estimate_mul
300 × 40 = 12000.
Q50
4500
estimate_mul
90 × 50 = 4500.
Q51
20
estimate_div
600 ÷ 30 = 20.
Q52
22.5
estimate_div
900 ÷ 40 = 22.5.
Q53
20
estimate_div
400 ÷ 20 = 20.
Q54
20
estimate_div
800 ÷ 40 = 20.
Q55
33.333333
estimate_div
1000 ÷ 30 = 33.333333.
Q56
30
estimate_div
900 ÷ 30 = 30.
Q57
6
estimate_div
300 ÷ 50 = 6.
Q58
50
estimate_div
5000 ÷ 100 = 50.
Q59
44.444444
estimate_div
4000 ÷ 90 = 44.444444.
Q60
17.5
estimate_div
700 ÷ 40 = 17.5.
Q61
800
estimate_add
400 + 400 = 800.
Q62
700
estimate_sub
900 - 200 = 700.
Q63
1000
estimate_mul
50 × 20 = 1000.
Q64
20
estimate_div
600 ÷ 30 = 20.
Q65
2400
estimate_mul
80 × 30 = 2400.
Q66
2400
estimate_add
2000 + 400 = 2400.
Q67
3000
estimate_sub
4000 - 1000 = 3000.
Q68
20
estimate_div
800 ÷ 40 = 20.
Q69
8000
estimate_mul
200 × 40 = 8000.
Q70
5900
estimate_add
5000 + 900 = 5900.
Q71
500
estimate_add
100 + 400 = 500.
Q72
400
estimate_sub
900 - 500 = 400.
Q73
1800
estimate_mul
60 × 30 = 1800.
Q74
20
estimate_div
400 ÷ 20 = 20.
Q75
4000
estimate_mul
80 × 50 = 4000.
Q76
2400
estimate_add
2000 + 400 = 2400.
Q77
3100
estimate_sub
4000 - 900 = 3100.
Q78
20
estimate_div
600 ÷ 30 = 20.
Q79
2000
estimate_mul
100 × 20 = 2000.
Q80
6700
estimate_add
6000 + 700 = 6700.
Q81
11
estimate_word
£4.85 → £5. £6.3 → £6. Total ≈ £11.
Q82
12
estimate_word
£3.75 → £4. £8.2 → £8. Total ≈ £12.
Q83
21
estimate_word
£6.75 → £7. 3 × £7 = £21.
Q84
12
estimate_word
£3.15 → £3. 4 × £3 = £12.
Q85
45
estimate_word
£8.9 → £9. 5 × £9 = £45.
Q86
18
estimate_word
£12.6 → £10. £7.85 → £8. Total ≈ £18.
Q87
40
estimate_word
£24.5 → £20. £15.75 → £20. Total ≈ £40.
Q88
18
estimate_word
£2.99 → £3. 6 × £3 = £18.
Q89
32
estimate_word
£4.25 → £4. 8 × £4 = £32.
Q90
15
estimate_word
£9.75 → £10. £5.1 → £5. Total ≈ £15.
Q91
0
is_enough
Estimate cost: ≈ £21. You have £20. £20 < £21 → NOT ENOUGH.
Q92
1
is_enough
Estimate cost: ≈ £15. You have £20. £20 ≥ £15 → ENOUGH.
Q93
0
is_enough
Estimate cost: ≈ £30. You have £25. £25 < £30 → NOT ENOUGH.
Q94
1
is_enough
Estimate cost: ≈ £18. You have £20. £20 ≥ £18 → ENOUGH.
Q95
0
is_enough
Estimate cost: ≈ £45. You have £40. £40 < £45 → NOT ENOUGH.
Q96
1
is_enough
Estimate cost: ≈ £36. You have £50. £50 ≥ £36 → ENOUGH.
Q97
0
is_enough
Estimate cost: ≈ £12. You have £10. £10 < £12 → NOT ENOUGH.
Q98
1
is_enough
Estimate cost: ≈ £8. You have £10. £10 ≥ £8 → ENOUGH.
Q99
0
is_enough
Estimate cost: ≈ £100. You have £80. £80 < £100 → NOT ENOUGH.
Q100
1
is_enough
Estimate cost: ≈ £60. You have £100. £100 ≥ £60 → ENOUGH.
/ 100
Answer key & mark scheme
Q
Answer
Rule used
Working
Q1
14
Linear sequence: continue by common difference
d = +3; 11 + 3 = 14
Q2
13
Linear sequence: continue by common difference
d = +2; 11 + 2 = 13
Q3
17
Linear sequence: continue by common difference
d = +4; 13 + 4 = 17
Q4
30
Linear sequence: continue by common difference
d = +5; 25 + 5 = 30
Q5
19
Linear sequence: continue by common difference
d = +3; 16 + 3 = 19
Q6
28
Linear sequence: continue by common difference
d = +6; 22 + 6 = 28
Q7
28
Linear sequence: continue by common difference
d = +7; 21 + 7 = 28
Q8
17
Linear sequence: continue by common difference
d = +2; 15 + 2 = 17
Q9
35
Linear sequence: continue by common difference
d = +8; 27 + 8 = 35
Q10
24
Linear sequence: continue by common difference
d = +3; 21 + 3 = 24
Q11
22
Linear sequence: continue by common difference
d = +4; 18 + 4 = 22
Q12
35
Linear sequence: continue by common difference
d = +5; 30 + 5 = 35
Q13
36
Linear sequence: continue by common difference
d = +7; 29 + 7 = 36
Q14
38
Linear sequence: continue by common difference
d = +9; 29 + 9 = 38
Q15
27
Linear sequence: continue by common difference
d = +4; 23 + 4 = 27
Q16
23
Linear sequence: continue by common difference
d = +5; 18 + 5 = 23
Q17
32
Linear sequence: continue by common difference
d = +3; 29 + 3 = 32
Q18
38
Linear sequence: continue by common difference
d = +6; 32 + 6 = 38
Q19
33
Linear sequence: continue by common difference
d = +8; 25 + 8 = 33
Q20
14
Linear sequence: continue by common difference
d = +2; 12 + 2 = 14
Q21
90
Linear sequence: continue by common difference
d = +10; 80 + 10 = 90
Q22
80
Linear sequence: continue by common difference
d = -5; 85 − 5 = 80
Q23
48
Linear sequence: continue by common difference
d = +7; 41 + 7 = 48
Q24
14
Linear sequence: continue by common difference
d = -4; 18 − 4 = 14
Q25
105
Linear sequence: continue by common difference
d = +15; 90 + 15 = 105
Q26
52
Linear sequence: continue by common difference
d = +11; 41 + 11 = 52
Q27
32
Linear sequence: continue by common difference
d = -7; 39 − 7 = 32
Q28
49
Linear sequence: continue by common difference
d = +9; 40 + 9 = 49
Q29
48
Linear sequence: continue by common difference
d = -8; 56 − 8 = 48
Q30
73
Linear sequence: continue by common difference
d = +12; 61 + 12 = 73
Q31
31
Linear sequence: find term by extending
a₁ = 4, d = +3; term 10 = 31
Q32
36
Linear sequence: find term by extending
a₁ = 1, d = +5; term 8 = 36
Q33
51
Linear sequence: find term by extending
a₁ = 7, d = +4; term 12 = 51
Q34
50
Linear sequence: find term by extending
a₁ = 2, d = +6; term 9 = 50
Q35
52
Linear sequence: find term by extending
a₁ = 10, d = +3; term 15 = 52
Q36
68
Linear sequence: find term by extending
a₁ = 5, d = +7; term 10 = 68
Q37
66
Linear sequence: find term by extending
a₁ = 3, d = +9; term 8 = 66
Q38
58
Linear sequence: find term by extending
a₁ = 8, d = +5; term 11 = 58
Q39
77
Linear sequence: find term by extending
a₁ = 1, d = +4; term 20 = 77
Q40
78
Linear sequence: find term by extending
a₁ = 6, d = +8; term 10 = 78
Q41
32
Geometric sequence: multiply by ratio
r = 2; 16 × 2 = 32
Q42
243
Geometric sequence: multiply by ratio
r = 3; 81 × 3 = 243
Q43
625
Geometric sequence: multiply by ratio
r = 5; 125 × 5 = 625
Q44
64
Geometric sequence: multiply by ratio
r = 2; 32 × 2 = 64
Q45
80
Geometric sequence: multiply by ratio
r = 2; 40 × 2 = 80
Q46
162
Geometric sequence: multiply by ratio
r = 3; 54 × 3 = 162
Q47
96
Geometric sequence: multiply by ratio
r = 2; 48 × 2 = 96
Q48
10000
Geometric sequence: multiply by ratio
r = 10; 1000 × 10 = 10000
Q49
768
Geometric sequence: multiply by ratio
r = 4; 192 × 4 = 768
Q50
1250
Geometric sequence: multiply by ratio
r = 5; 250 × 5 = 1250
Q51
4
Common difference
7 − 3 = 4
Q52
7
Common difference
17 − 10 = 7
Q53
11
Common difference
13 − 2 = 11
Q54
-5
Common difference
15 − 20 = -5
Q55
9
Common difference
14 − 5 = 9
Q56
31
Check membership in linear sequence
d = +4; lands exactly on 31
Q57
0
Check membership in linear sequence
d = +4; misses 30
Q58
50
Check membership in linear sequence
d = +6; lands exactly on 50
Q59
0
Check membership in linear sequence
d = +7; misses 60
Q60
33
Check membership in linear sequence
d = +4; lands exactly on 33
Q61
25
Square numbers: n × n
5 × 5 = 25
Q62
36
Square numbers: n × n
6 × 6 = 36
Q63
49
Square numbers: n × n
7 × 7 = 49
Q64
64
Square numbers: n × n
8 × 8 = 64
Q65
81
Square numbers: n × n
9 × 9 = 81
Q66
15
Triangular numbers: gap grows by 1
next gap = +5; 10 + 5 = 15
Q67
21
Triangular numbers: gap grows by 1
next gap = +6; 15 + 6 = 21
Q68
21
Triangular numbers: gap grows by 1
next gap = +6; 15 + 6 = 21
Q69
28
Triangular numbers: gap grows by 1
next gap = +7; 21 + 7 = 28
Q70
36
Triangular numbers: gap grows by 1
next gap = +8; 28 + 8 = 36
Q71
13
Fibonacci-style: term = sum of two before
5 + 8 = 13
Q72
26
Fibonacci-style: term = sum of two before
10 + 16 = 26
Q73
21
Fibonacci-style: term = sum of two before
8 + 13 = 21
Q74
39
Fibonacci-style: term = sum of two before
15 + 24 = 39
Q75
65
Fibonacci-style: term = sum of two before
25 + 40 = 65
Q76
29
Fibonacci-style: term = sum of two before
11 + 18 = 29
Q77
34
Fibonacci-style: term = sum of two before
13 + 21 = 34
Q78
37
Fibonacci-style: term = sum of two before
14 + 23 = 37
Q79
55
Fibonacci-style: term = sum of two before
21 + 34 = 55
Q80
76
Fibonacci-style: term = sum of two before
29 + 47 = 76
Q81
13
Dot pattern: linear sequence
d = +3; pattern 5 = 13
Q82
17
Dot pattern: linear sequence
d = +3; pattern 6 = 17
Q83
27
Dot pattern: linear sequence
d = +4; pattern 7 = 27
Q84
22
Dot pattern: linear sequence
d = +2; pattern 10 = 22
Q85
25
Dot pattern: linear sequence
d = +4; pattern 6 = 25
Q86
30
Dot pattern: linear sequence
d = +4; pattern 8 = 30
Q87
25
Dot pattern: linear sequence
d = +4; pattern 7 = 25
Q88
23
Dot pattern: linear sequence
d = +5; pattern 5 = 23
Q89
28
Dot pattern: linear sequence
d = +6; pattern 5 = 28
Q90
31
Dot pattern: linear sequence
d = +5; pattern 7 = 31
Q91
32
Identify sequence type (geometric ×2)
Next term = 32
Q92
48
Identify sequence type (geometric ×2)
Next term = 48
Q93
25
Identify sequence type (square)
Next term = 25
Q94
15
Identify sequence type (triangular)
Next term = 15
Q95
13
Identify sequence type (fibonacci)
Next term = 13
Q96
71
Linear sequence: find term by extending
a₁ = 5, d = +6; term 12 = 71
Q97
75
Linear sequence: find term by extending
a₁ = 3, d = +8; term 10 = 75
Q98
99
Linear sequence: find term by extending
a₁ = 1, d = +7; term 15 = 99
Q99
100
Linear sequence: find term by extending
a₁ = 10, d = +9; term 11 = 100
Q100
92
Linear sequence: find term by extending
a₁ = 4, d = +11; term 9 = 92
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