Improve Tuition · GCSE Maths · Grade 2 · 100-question paper
Lesson · Decimals · Grade 2 lock

Decimals — 100 Questions

Five bands, easy to hardest, all within Grade 2.

100 marks · 5 sections · grade-locked (no Grade 2+ techniques required)

Name:Date:Score: / 100
Grade-locked: every question can be solved using the six decimals facts on the lesson page (place value, value of a digit, comparing, adding/subtracting, ×÷ by powers of 10, rounding to 1 or 2 dp). No fraction conversion, no percentages, no decimal × decimal.
Band A
Section — Reading decimals
Digit in a column · value of a digit
Q1.What digit is in the TENTHS column of 3.47?
O3.4¹⁄₁₀₀7
(1 mark)
  1. Read it. What digit is in the TENTHS column of 3.47?
  2. The fact. Tenths is right after the decimal.
  3. The numbers. 3.47.
  4. Do the maths. Tenths digit = 4.
  5. Answer. 4
Answer: 4
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q2.What digit is in the HUNDREDTHS column of 2.85?
O2.8¹⁄₁₀₀5
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 2.85?
  2. The fact. Hundredths is right after the decimal.
  3. The numbers. 2.85.
  4. Do the maths. Hundredths digit = 5.
  5. Answer. 5
Answer: 5
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q3.What digit is in the TENTHS column of 0.63?
O0.6¹⁄₁₀₀3
(1 mark)
  1. Read it. What digit is in the TENTHS column of 0.63?
  2. The fact. Tenths is right after the decimal.
  3. The numbers. 0.63.
  4. Do the maths. Tenths digit = 6.
  5. Answer. 6
Answer: 6
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q4.What digit is in the HUNDREDTHS column of 5.29?
O5.2¹⁄₁₀₀9
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 5.29?
  2. The fact. Hundredths is right after the decimal.
  3. The numbers. 5.29.
  4. Do the maths. Hundredths digit = 9.
  5. Answer. 9
Answer: 9
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q5.What digit is in the TENTHS column of 7.14?
O7.1¹⁄₁₀₀4
(1 mark)
  1. Read it. What digit is in the TENTHS column of 7.14?
  2. The fact. Tenths is right after the decimal.
  3. The numbers. 7.14.
  4. Do the maths. Tenths digit = 1.
  5. Answer. 1
Answer: 1
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q6.What digit is in the HUNDREDTHS column of 9.08?
O9.0¹⁄₁₀₀8
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 9.08?
  2. The fact. Hundredths is right after the decimal.
  3. The numbers. 9.08.
  4. Do the maths. Hundredths digit = 8.
  5. Answer. 8
Answer: 8
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q7.What digit is in the TENTHS column of 1.5?
O1.5
(1 mark)
  1. Read it. What digit is in the TENTHS column of 1.5?
  2. The fact. Tenths is right after the decimal.
  3. The numbers. 1.5.
  4. Do the maths. Tenths digit = 5.
  5. Answer. 5
Answer: 5
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q8.What digit is in the HUNDREDTHS column of 4.72?
O4.7¹⁄₁₀₀2
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 4.72?
  2. The fact. Hundredths is right after the decimal.
  3. The numbers. 4.72.
  4. Do the maths. Hundredths digit = 2.
  5. Answer. 2
Answer: 2
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q9.What digit is in the TENTHS column of 6.36?
O6.3¹⁄₁₀₀6
(1 mark)
  1. Read it. What digit is in the TENTHS column of 6.36?
  2. The fact. Tenths is right after the decimal.
  3. The numbers. 6.36.
  4. Do the maths. Tenths digit = 3.
  5. Answer. 3
Answer: 3
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q10.What digit is in the HUNDREDTHS column of 8.91?
O8.9¹⁄₁₀₀1
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 8.91?
  2. The fact. Hundredths is right after the decimal.
  3. The numbers. 8.91.
  4. Do the maths. Hundredths digit = 1.
  5. Answer. 1
Answer: 1
Watch outTenths = 1st after the decimal. Hundredths = 2nd.
Q11.What is the VALUE of the digit in the TENTHS column of 3.47?
O3.4¹⁄₁₀₀7
↑ 4 tenths = 0.4
(1 mark)
  1. Read it. What is the VALUE of the digit in the TENTHS column of 3.47?
  2. The fact. Value = digit × column value.
  3. The numbers. 3.47, tenths column.
  4. Do the maths. Value = 0.4.
  5. Answer. 0.4
Answer: 0.4
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q12.What is the VALUE of the digit in the HUNDREDTHS column of 2.85?
O2.8¹⁄₁₀₀5
↑ 5 hundredths = 0.05
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 2.85?
  2. The fact. Value = digit × column value.
  3. The numbers. 2.85, hundredths column.
  4. Do the maths. Value = 0.05.
  5. Answer. 0.05
Answer: 0.05
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q13.What is the VALUE of the digit in the TENTHS column of 0.63?
O0.6¹⁄₁₀₀3
↑ 6 tenths = 0.6
(1 mark)
  1. Read it. What is the VALUE of the digit in the TENTHS column of 0.63?
  2. The fact. Value = digit × column value.
  3. The numbers. 0.63, tenths column.
  4. Do the maths. Value = 0.6.
  5. Answer. 0.6
Answer: 0.6
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q14.What is the VALUE of the digit in the HUNDREDTHS column of 5.29?
O5.2¹⁄₁₀₀9
↑ 9 hundredths = 0.09
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 5.29?
  2. The fact. Value = digit × column value.
  3. The numbers. 5.29, hundredths column.
  4. Do the maths. Value = 0.09.
  5. Answer. 0.09
Answer: 0.09
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q15.What is the VALUE of the digit in the TENTHS column of 7.14?
O7.1¹⁄₁₀₀4
↑ 1 tenths = 0.1
(1 mark)
  1. Read it. What is the VALUE of the digit in the TENTHS column of 7.14?
  2. The fact. Value = digit × column value.
  3. The numbers. 7.14, tenths column.
  4. Do the maths. Value = 0.1.
  5. Answer. 0.1
Answer: 0.1
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q16.What is the VALUE of the digit in the HUNDREDTHS column of 9.08?
O9.0¹⁄₁₀₀8
↑ 8 hundredths = 0.08
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 9.08?
  2. The fact. Value = digit × column value.
  3. The numbers. 9.08, hundredths column.
  4. Do the maths. Value = 0.08.
  5. Answer. 0.08
Answer: 0.08
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q17.What is the VALUE of the digit in the TENTHS column of 1.5?
O1.5
↑ 5 tenths = 0.5
(1 mark)
  1. Read it. What is the VALUE of the digit in the TENTHS column of 1.5?
  2. The fact. Value = digit × column value.
  3. The numbers. 1.5, tenths column.
  4. Do the maths. Value = 0.5.
  5. Answer. 0.5
Answer: 0.5
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q18.What is the VALUE of the digit in the HUNDREDTHS column of 4.72?
O4.7¹⁄₁₀₀2
↑ 2 hundredths = 0.02
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 4.72?
  2. The fact. Value = digit × column value.
  3. The numbers. 4.72, hundredths column.
  4. Do the maths. Value = 0.02.
  5. Answer. 0.02
Answer: 0.02
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q19.What is the VALUE of the digit in the TENTHS column of 6.36?
O6.3¹⁄₁₀₀6
↑ 3 tenths = 0.3
(1 mark)
  1. Read it. What is the VALUE of the digit in the TENTHS column of 6.36?
  2. The fact. Value = digit × column value.
  3. The numbers. 6.36, tenths column.
  4. Do the maths. Value = 0.3.
  5. Answer. 0.3
Answer: 0.3
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Q20.What is the VALUE of the digit in the HUNDREDTHS column of 8.91?
O8.9¹⁄₁₀₀1
↑ 1 hundredths = 0.01
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 8.91?
  2. The fact. Value = digit × column value.
  3. The numbers. 8.91, hundredths column.
  4. Do the maths. Value = 0.01.
  5. Answer. 0.01
Answer: 0.01
Watch outThe value of a digit in the hundredths column is 0.0X, NOT X.
Band B
Section — Comparing decimals
Line up the decimals · compare from the left
Q21.Which is bigger, 0.5 or 0.42?
O00..54¹⁄₁₀₀2
(1 mark)
  1. Read it. Which is bigger, 0.5 or 0.42?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 0.5 and 0.42 shown lined up in the grid above.
  4. Do the maths. Bigger = 0.5.
  5. Answer. 0.5
Answer: 0.5
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q22.Which is bigger, 0.72 or 0.7?
O00..77¹⁄₁₀₀2
(1 mark)
  1. Read it. Which is bigger, 0.72 or 0.7?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 0.72 and 0.7 shown lined up in the grid above.
  4. Do the maths. Bigger = 0.72.
  5. Answer. 0.72
Answer: 0.72
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q23.Which is bigger, 3.05 or 3.5?
O33..05¹⁄₁₀₀5
(1 mark)
  1. Read it. Which is bigger, 3.05 or 3.5?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 3.05 and 3.5 shown lined up in the grid above.
  4. Do the maths. Bigger = 3.5.
  5. Answer. 3.5
Answer: 3.5
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q24.Which is bigger, 2.13 or 2.31?
O22..13¹⁄₁₀₀31
(1 mark)
  1. Read it. Which is bigger, 2.13 or 2.31?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 2.13 and 2.31 shown lined up in the grid above.
  4. Do the maths. Bigger = 2.31.
  5. Answer. 2.31
Answer: 2.31
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q25.Which is bigger, 1.6 or 1.06?
O11..60¹⁄₁₀₀6
(1 mark)
  1. Read it. Which is bigger, 1.6 or 1.06?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 1.6 and 1.06 shown lined up in the grid above.
  4. Do the maths. Bigger = 1.6.
  5. Answer. 1.6
Answer: 1.6
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q26.Which is bigger, 4.44 or 4.4?
O44..44¹⁄₁₀₀4
(1 mark)
  1. Read it. Which is bigger, 4.44 or 4.4?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 4.44 and 4.4 shown lined up in the grid above.
  4. Do the maths. Bigger = 4.44.
  5. Answer. 4.44
Answer: 4.44
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q27.Which is bigger, 0.9 or 0.85?
O00..98¹⁄₁₀₀5
(1 mark)
  1. Read it. Which is bigger, 0.9 or 0.85?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 0.9 and 0.85 shown lined up in the grid above.
  4. Do the maths. Bigger = 0.9.
  5. Answer. 0.9
Answer: 0.9
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q28.Which is bigger, 5.02 or 5.2?
O55..02¹⁄₁₀₀2
(1 mark)
  1. Read it. Which is bigger, 5.02 or 5.2?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 5.02 and 5.2 shown lined up in the grid above.
  4. Do the maths. Bigger = 5.2.
  5. Answer. 5.2
Answer: 5.2
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q29.Which is bigger, 7.8 or 7.08?
O77..80¹⁄₁₀₀8
(1 mark)
  1. Read it. Which is bigger, 7.8 or 7.08?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 7.8 and 7.08 shown lined up in the grid above.
  4. Do the maths. Bigger = 7.8.
  5. Answer. 7.8
Answer: 7.8
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Q30.Which is bigger, 9.99 or 10.0?
T1O90..9¹⁄₁₀₀9
(1 mark)
  1. Read it. Which is bigger, 9.99 or 10.0?
  2. The fact. Compare column by column from the LEFT (after lining up).
  3. The numbers. 9.99 and 10.0 shown lined up in the grid above.
  4. Do the maths. Bigger = 10.0.
  5. Answer. 10.0
Answer: 10.0
Watch out0.5 IS bigger than 0.42. Don't be fooled by "42 > 5".
Band B
Section — Ordering & bigger decimals
Order 3–4 decimals · thousandths
Q31.From 0.3, 0.03, 0.303, pick the smallest.
(1 mark)
  1. Read it. From 0.3, 0.03, 0.303, pick the smallest.
  2. The fact. Line up decimals; compare from left.
  3. The numbers. Sorted: 0.03, 0.3, 0.303.
  4. Do the maths. Smallest = 0.03.
  5. Answer. 0.03
Answer: 0.03
Watch out0.03 is smaller than 0.3 — the 0 in the tenths column matters.
Q32.From 1.2, 1.02, 1.22, pick the largest.
(1 mark)
  1. Read it. From 1.2, 1.02, 1.22, pick the largest.
  2. The fact. Compare column by column.
  3. The numbers. Sorted: 1.02, 1.2, 1.22.
  4. Do the maths. Largest = 1.22.
  5. Answer. 1.22
Answer: 1.22
Watch outTrailing zeros don't change value: 1.2 = 1.20.
Q33.From 0.5, 0.05, 0.55, pick the smallest.
(1 mark)
  1. Read it. From 0.5, 0.05, 0.55, pick the smallest.
  2. The fact. Line up decimals; compare from left.
  3. The numbers. Sorted: 0.05, 0.5, 0.55.
  4. Do the maths. Smallest = 0.05.
  5. Answer. 0.05
Answer: 0.05
Watch out0.03 is smaller than 0.3 — the 0 in the tenths column matters.
Q34.From 2.7, 2.07, 2.77, pick the largest.
(1 mark)
  1. Read it. From 2.7, 2.07, 2.77, pick the largest.
  2. The fact. Compare column by column.
  3. The numbers. Sorted: 2.07, 2.7, 2.77.
  4. Do the maths. Largest = 2.77.
  5. Answer. 2.77
Answer: 2.77
Watch outTrailing zeros don't change value: 1.2 = 1.20.
Q35.What digit is in the THOUSANDTHS column of 12.345?
(1 mark)
  1. Read it. What digit is in the THOUSANDTHS column of 12.345?
  2. The fact. Thousandths column.
  3. The numbers. 12.345.
  4. Do the maths. Thousandths digit = 5.
  5. Answer. 5
Answer: 5
Watch outThousandths is the 3rd column after the decimal.
Q36.What digit is in the HUNDREDTHS column of 47.056?
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 47.056?
  2. The fact. Hundredths column.
  3. The numbers. 47.056.
  4. Do the maths. Hundredths digit = 5.
  5. Answer. 5
Answer: 5
Watch outThousandths is the 3rd column after the decimal.
Q37.What is the VALUE of the digit in the HUNDREDTHS column of 12.345?
(1 mark)
  1. Read it. What is the VALUE of the digit in the HUNDREDTHS column of 12.345?
  2. The fact. Value = digit × column value.
  3. The numbers. 12.345.
  4. Do the maths. Value = 0.04.
  5. Answer. 0.04
Answer: 0.04
Watch outValue has the column value baked in — not just the digit.
Q38.What is the VALUE of the digit in the THOUSANDTHS column of 47.056?
(1 mark)
  1. Read it. What is the VALUE of the digit in the THOUSANDTHS column of 47.056?
  2. The fact. Value = digit × column value.
  3. The numbers. 47.056.
  4. Do the maths. Value = 0.006.
  5. Answer. 0.006
Answer: 0.006
Watch outValue has the column value baked in — not just the digit.
Q39.From 0.9, 0.09, 0.19, 0.91, pick the smallest.
(1 mark)
  1. Read it. From 0.9, 0.09, 0.19, 0.91, pick the smallest.
  2. The fact. Line up decimals; compare from left.
  3. The numbers. Sorted: 0.09, 0.19, 0.9, 0.91.
  4. Do the maths. Smallest = 0.09.
  5. Answer. 0.09
Answer: 0.09
Watch out0.03 is smaller than 0.3 — the 0 in the tenths column matters.
Q40.From 1.5, 1.05, 1.55, 1.15, pick the largest.
(1 mark)
  1. Read it. From 1.5, 1.05, 1.55, 1.15, pick the largest.
  2. The fact. Compare column by column.
  3. The numbers. Sorted: 1.05, 1.15, 1.5, 1.55.
  4. Do the maths. Largest = 1.55.
  5. Answer. 1.55
Answer: 1.55
Watch outTrailing zeros don't change value: 1.2 = 1.20.
Band C
Section — Adding & subtracting
Line up decimals · work column by column
Q41.Work out 2.4 + 1.35.
(1 mark)
  1. Read it. Work out 2.4 + 1.35.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 2.4 + 1.35.
  4. Do the maths. = 3.75.
  5. Answer. 3.75
Answer: 3.75
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q42.Work out 3.2 + 4.15.
(1 mark)
  1. Read it. Work out 3.2 + 4.15.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 3.2 + 4.15.
  4. Do the maths. = 7.35.
  5. Answer. 7.35
Answer: 7.35
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q43.Work out 1.5 + 2.6.
(1 mark)
  1. Read it. Work out 1.5 + 2.6.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 1.5 + 2.6.
  4. Do the maths. = 4.1.
  5. Answer. 4.1
Answer: 4.1
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q44.Work out 0.75 + 0.85.
(1 mark)
  1. Read it. Work out 0.75 + 0.85.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 0.75 + 0.85.
  4. Do the maths. = 1.6.
  5. Answer. 1.6
Answer: 1.6
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q45.Work out 5.09 + 3.02.
(1 mark)
  1. Read it. Work out 5.09 + 3.02.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 5.09 + 3.02.
  4. Do the maths. = 8.11.
  5. Answer. 8.11
Answer: 8.11
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q46.Work out 5.0 − 2.35.
(1 mark)
  1. Read it. Work out 5.0 − 2.35.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 5.0 - 2.35.
  4. Do the maths. = 2.65.
  5. Answer. 2.65
Answer: 2.65
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q47.Work out 4.5 − 1.75.
(1 mark)
  1. Read it. Work out 4.5 − 1.75.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 4.5 - 1.75.
  4. Do the maths. = 2.75.
  5. Answer. 2.75
Answer: 2.75
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q48.Work out 7.2 − 3.45.
(1 mark)
  1. Read it. Work out 7.2 − 3.45.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 7.2 - 3.45.
  4. Do the maths. = 3.75.
  5. Answer. 3.75
Answer: 3.75
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q49.Work out 10.0 − 4.25.
(1 mark)
  1. Read it. Work out 10.0 − 4.25.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 10.0 - 4.25.
  4. Do the maths. = 5.75.
  5. Answer. 5.75
Answer: 5.75
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q50.Work out 6.03 − 2.75.
(1 mark)
  1. Read it. Work out 6.03 − 2.75.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 6.03 - 2.75.
  4. Do the maths. = 3.28.
  5. Answer. 3.28
Answer: 3.28
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q51.Work out 12.5 + 8.75.
(1 mark)
  1. Read it. Work out 12.5 + 8.75.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 12.5 + 8.75.
  4. Do the maths. = 21.25.
  5. Answer. 21.25
Answer: 21.25
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q52.Work out 9.99 + 0.01.
(1 mark)
  1. Read it. Work out 9.99 + 0.01.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 9.99 + 0.01.
  4. Do the maths. = 10.0.
  5. Answer. 10.0
Answer: 10.0
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q53.Work out 3.4 + 5.6.
(1 mark)
  1. Read it. Work out 3.4 + 5.6.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 3.4 + 5.6.
  4. Do the maths. = 9.0.
  5. Answer. 9.0
Answer: 9.0
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q54.Work out 15.05 + 4.95.
(1 mark)
  1. Read it. Work out 15.05 + 4.95.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 15.05 + 4.95.
  4. Do the maths. = 20.0.
  5. Answer. 20.0
Answer: 20.0
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q55.Work out 8.75 + 6.25.
(1 mark)
  1. Read it. Work out 8.75 + 6.25.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 8.75 + 6.25.
  4. Do the maths. = 15.0.
  5. Answer. 15.0
Answer: 15.0
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q56.Work out 20.0 − 7.65.
(1 mark)
  1. Read it. Work out 20.0 − 7.65.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 20.0 - 7.65.
  4. Do the maths. = 12.35.
  5. Answer. 12.35
Answer: 12.35
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q57.Work out 15.75 − 6.5.
(1 mark)
  1. Read it. Work out 15.75 − 6.5.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 15.75 - 6.5.
  4. Do the maths. = 9.25.
  5. Answer. 9.25
Answer: 9.25
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q58.Work out 12.3 − 4.85.
(1 mark)
  1. Read it. Work out 12.3 − 4.85.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 12.3 - 4.85.
  4. Do the maths. = 7.45.
  5. Answer. 7.45
Answer: 7.45
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q59.Work out 25.0 − 9.99.
(1 mark)
  1. Read it. Work out 25.0 − 9.99.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 25.0 - 9.99.
  4. Do the maths. = 15.01.
  5. Answer. 15.01
Answer: 15.01
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Q60.Work out 30.5 − 12.75.
(1 mark)
  1. Read it. Work out 30.5 − 12.75.
  2. The fact. Line up decimals, work column by column.
  3. The numbers. 30.5 - 12.75.
  4. Do the maths. = 17.75.
  5. Answer. 17.75
Answer: 17.75
Watch outAdd trailing zeros to make both numbers have the same number of decimals.
Band D
Section — × and ÷ by 10, 100, 1000
Shift digits left or right
Q61.Work out 3.47 × 10.
O3.4¹⁄₁₀₀7
(1 mark)
  1. Read it. Work out 3.47 × 10.
  2. The fact. × 10 shifts digits.
  3. The numbers. 3.47.
  4. Do the maths. 3.47 × 10 = 34.7.
  5. Answer. 34.7
Answer: 34.7
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q62.Work out 3.47 × 100.
O3.4¹⁄₁₀₀7
(1 mark)
  1. Read it. Work out 3.47 × 100.
  2. The fact. × 100 shifts digits.
  3. The numbers. 3.47.
  4. Do the maths. 3.47 × 100 = 347.
  5. Answer. 347
Answer: 347
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q63.Work out 34.7 ÷ 10.
T3O4.7
(1 mark)
  1. Read it. Work out 34.7 ÷ 10.
  2. The fact. ÷ 10 shifts digits.
  3. The numbers. 34.7.
  4. Do the maths. 34.7 ÷ 10 = 3.47.
  5. Answer. 3.47
Answer: 3.47
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q64.Work out 347 ÷ 100.
H3T4O7
(1 mark)
  1. Read it. Work out 347 ÷ 100.
  2. The fact. ÷ 100 shifts digits.
  3. The numbers. 347.
  4. Do the maths. 347 ÷ 100 = 3.47.
  5. Answer. 3.47
Answer: 3.47
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q65.Work out 0.5 × 10.
O0.5
(1 mark)
  1. Read it. Work out 0.5 × 10.
  2. The fact. × 10 shifts digits.
  3. The numbers. 0.5.
  4. Do the maths. 0.5 × 10 = 5.
  5. Answer. 5
Answer: 5
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q66.Work out 0.05 × 100.
O0.0¹⁄₁₀₀5
(1 mark)
  1. Read it. Work out 0.05 × 100.
  2. The fact. × 100 shifts digits.
  3. The numbers. 0.05.
  4. Do the maths. 0.05 × 100 = 5.
  5. Answer. 5
Answer: 5
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q67.Work out 5 ÷ 10.
O5
(1 mark)
  1. Read it. Work out 5 ÷ 10.
  2. The fact. ÷ 10 shifts digits.
  3. The numbers. 5.
  4. Do the maths. 5 ÷ 10 = 0.5.
  5. Answer. 0.5
Answer: 0.5
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q68.Work out 5 ÷ 100.
O5
(1 mark)
  1. Read it. Work out 5 ÷ 100.
  2. The fact. ÷ 100 shifts digits.
  3. The numbers. 5.
  4. Do the maths. 5 ÷ 100 = 0.05.
  5. Answer. 0.05
Answer: 0.05
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q69.Work out 0.006 × 1000.
O0.0¹⁄₁₀₀0¹⁄₁₀₀₀6
(1 mark)
  1. Read it. Work out 0.006 × 1000.
  2. The fact. × 1000 shifts digits.
  3. The numbers. 0.006.
  4. Do the maths. 0.006 × 1000 = 6.
  5. Answer. 6
Answer: 6
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Q70.Work out 6 ÷ 1000.
O6
(1 mark)
  1. Read it. Work out 6 ÷ 1000.
  2. The fact. ÷ 1000 shifts digits.
  3. The numbers. 6.
  4. Do the maths. 6 ÷ 1000 = 0.006.
  5. Answer. 0.006
Answer: 0.006
Watch out× 10 shifts one place. × 100 shifts two. × 1000 shifts three.
Band D
Section — Shifting without diagrams
Same rule, no visual
Q71.Work out 2.85 × 10.
(1 mark)
  1. Read it. Work out 2.85 × 10.
  2. The fact. × 10 shifts digits.
  3. The numbers. 2.85.
  4. Do the maths. = 28.5.
  5. Answer. 28.5
Answer: 28.5
Watch outFor ÷ by 100, digits move 2 places to the right.
Q72.Work out 4.72 × 100.
(1 mark)
  1. Read it. Work out 4.72 × 100.
  2. The fact. × 100 shifts digits.
  3. The numbers. 4.72.
  4. Do the maths. = 472.
  5. Answer. 472
Answer: 472
Watch outFor ÷ by 100, digits move 2 places to the right.
Q73.Work out 63.6 ÷ 10.
(1 mark)
  1. Read it. Work out 63.6 ÷ 10.
  2. The fact. ÷ 10 shifts digits.
  3. The numbers. 63.6.
  4. Do the maths. = 6.36.
  5. Answer. 6.36
Answer: 6.36
Watch outFor ÷ by 100, digits move 2 places to the right.
Q74.Work out 891 ÷ 100.
(1 mark)
  1. Read it. Work out 891 ÷ 100.
  2. The fact. ÷ 100 shifts digits.
  3. The numbers. 891.
  4. Do the maths. = 8.91.
  5. Answer. 8.91
Answer: 8.91
Watch outFor ÷ by 100, digits move 2 places to the right.
Q75.Work out 0.09 × 10.
(1 mark)
  1. Read it. Work out 0.09 × 10.
  2. The fact. × 10 shifts digits.
  3. The numbers. 0.09.
  4. Do the maths. = 0.9.
  5. Answer. 0.9
Answer: 0.9
Watch outFor ÷ by 100, digits move 2 places to the right.
Q76.Work out 0.5 × 1000.
(1 mark)
  1. Read it. Work out 0.5 × 1000.
  2. The fact. × 1000 shifts digits.
  3. The numbers. 0.5.
  4. Do the maths. = 500.
  5. Answer. 500
Answer: 500
Watch outFor ÷ by 100, digits move 2 places to the right.
Q77.Work out 0.5 ÷ 10.
(1 mark)
  1. Read it. Work out 0.5 ÷ 10.
  2. The fact. ÷ 10 shifts digits.
  3. The numbers. 0.5.
  4. Do the maths. = 0.05.
  5. Answer. 0.05
Answer: 0.05
Watch outFor ÷ by 100, digits move 2 places to the right.
Q78.Work out 25 ÷ 100.
(1 mark)
  1. Read it. Work out 25 ÷ 100.
  2. The fact. ÷ 100 shifts digits.
  3. The numbers. 25.
  4. Do the maths. = 0.25.
  5. Answer. 0.25
Answer: 0.25
Watch outFor ÷ by 100, digits move 2 places to the right.
Q79.Work out 1.5 × 100.
(1 mark)
  1. Read it. Work out 1.5 × 100.
  2. The fact. × 100 shifts digits.
  3. The numbers. 1.5.
  4. Do the maths. = 150.
  5. Answer. 150
Answer: 150
Watch outFor ÷ by 100, digits move 2 places to the right.
Q80.Work out 500 ÷ 1000.
(1 mark)
  1. Read it. Work out 500 ÷ 1000.
  2. The fact. ÷ 1000 shifts digits.
  3. The numbers. 500.
  4. Do the maths. = 0.5.
  5. Answer. 0.5
Answer: 0.5
Watch outFor ÷ by 100, digits move 2 places to the right.
Band E
Section — Hardest: tricky compare, placeholder, rounding
Placeholder decimals · round to 1 or 2 dp
Q81.Which is bigger, 0.8 or 0.75?
O00..87¹⁄₁₀₀5
(1 mark)
  1. Read it. Which is bigger, 0.8 or 0.75?
  2. The fact. Compare column by column from the left.
  3. The numbers. 0.8 (0.80) vs 0.75 (0.75).
  4. Do the maths. Bigger = 0.8.
  5. Answer. 0.8
Answer: 0.8
Watch out0.8 IS bigger than 0.75. Do NOT compare "75" to "8".
Q82.Which is bigger, 0.2 or 0.19?
O00..21¹⁄₁₀₀9
(1 mark)
  1. Read it. Which is bigger, 0.2 or 0.19?
  2. The fact. Compare column by column from the left.
  3. The numbers. 0.2 (0.20) vs 0.19 (0.19).
  4. Do the maths. Bigger = 0.2.
  5. Answer. 0.2
Answer: 0.2
Watch out0.8 IS bigger than 0.75. Do NOT compare "75" to "8".
Q83.Which is bigger, 0.6 or 0.59?
O00..65¹⁄₁₀₀9
(1 mark)
  1. Read it. Which is bigger, 0.6 or 0.59?
  2. The fact. Compare column by column from the left.
  3. The numbers. 0.6 (0.60) vs 0.59 (0.59).
  4. Do the maths. Bigger = 0.6.
  5. Answer. 0.6
Answer: 0.6
Watch out0.8 IS bigger than 0.75. Do NOT compare "75" to "8".
Q84.Which is bigger, 0.4 or 0.35?
O00..43¹⁄₁₀₀5
(1 mark)
  1. Read it. Which is bigger, 0.4 or 0.35?
  2. The fact. Compare column by column from the left.
  3. The numbers. 0.4 (0.40) vs 0.35 (0.35).
  4. Do the maths. Bigger = 0.4.
  5. Answer. 0.4
Answer: 0.4
Watch out0.8 IS bigger than 0.75. Do NOT compare "75" to "8".
Q85.Which is bigger, 0.7 or 0.65?
O00..76¹⁄₁₀₀5
(1 mark)
  1. Read it. Which is bigger, 0.7 or 0.65?
  2. The fact. Compare column by column from the left.
  3. The numbers. 0.7 (0.70) vs 0.65 (0.65).
  4. Do the maths. Bigger = 0.7.
  5. Answer. 0.7
Answer: 0.7
Watch out0.8 IS bigger than 0.75. Do NOT compare "75" to "8".
Q86.Round 3.47 to 1 decimal place.
3.13.23.33.43.53.63.73.47
(1 mark)
  1. Read it. Round 3.47 to 1 decimal place.
  2. The fact. Look at the hundredths digit.
  3. The numbers. 3.47: hundredths = 7.
  4. Do the maths. Rounded to 1 dp = 3.5.
  5. Answer. 3.5
Answer: 3.5
Watch outHalfway (hundredths = 5) always rounds UP.
Q87.Round 0.63 to 1 decimal place.
0.30.40.50.60.70.80.90.63
(1 mark)
  1. Read it. Round 0.63 to 1 decimal place.
  2. The fact. Look at the hundredths digit.
  3. The numbers. 0.63: hundredths = 3.
  4. Do the maths. Rounded to 1 dp = 0.6.
  5. Answer. 0.6
Answer: 0.6
Watch outHalfway (hundredths = 5) always rounds UP.
Q88.Round 5.29 to 1 decimal place.
4.955.15.25.35.45.55.29
(1 mark)
  1. Read it. Round 5.29 to 1 decimal place.
  2. The fact. Look at the hundredths digit.
  3. The numbers. 5.29: hundredths = 9.
  4. Do the maths. Rounded to 1 dp = 5.3.
  5. Answer. 5.3
Answer: 5.3
Watch outHalfway (hundredths = 5) always rounds UP.
Q89.Round 7.14 to 1 decimal place.
6.86.977.17.27.37.47.14
(1 mark)
  1. Read it. Round 7.14 to 1 decimal place.
  2. The fact. Look at the hundredths digit.
  3. The numbers. 7.14: hundredths = 4.
  4. Do the maths. Rounded to 1 dp = 7.1.
  5. Answer. 7.1
Answer: 7.1
Watch outHalfway (hundredths = 5) always rounds UP.
Q90.Round 2.85 to 1 decimal place.
2.52.62.72.82.933.12.85
(1 mark)
  1. Read it. Round 2.85 to 1 decimal place.
  2. The fact. Look at the hundredths digit.
  3. The numbers. 2.85: hundredths = 5.
  4. Do the maths. Rounded to 1 dp = 2.9.
  5. Answer. 2.9
Answer: 2.9
Watch outHalfway (hundredths = 5) always rounds UP.
Q91.Round 3.475 to 2 decimal places.
3.443.453.463.473.483.493.53.475
(1 mark)
  1. Read it. Round 3.475 to 2 decimal places.
  2. The fact. Look at the thousandths digit.
  3. The numbers. 3.475.
  4. Do the maths. Rounded to 2 dp = 3.48.
  5. Answer. 3.48
Answer: 3.48
Watch outFor rounding up cascades: 5.297 rounds to 5.30, then trailing zeros can be dropped to 5.3.
Q92.Round 0.634 to 2 decimal places.
0.60.610.620.630.640.650.660.634
(1 mark)
  1. Read it. Round 0.634 to 2 decimal places.
  2. The fact. Look at the thousandths digit.
  3. The numbers. 0.634.
  4. Do the maths. Rounded to 2 dp = 0.63.
  5. Answer. 0.63
Answer: 0.63
Watch outFor rounding up cascades: 5.297 rounds to 5.30, then trailing zeros can be dropped to 5.3.
Q93.Round 5.297 to 2 decimal places.
5.265.275.285.295.35.315.325.297
(1 mark)
  1. Read it. Round 5.297 to 2 decimal places.
  2. The fact. Look at the thousandths digit.
  3. The numbers. 5.297.
  4. Do the maths. Rounded to 2 dp = 5.3.
  5. Answer. 5.3
Answer: 5.3
Watch outFor rounding up cascades: 5.297 rounds to 5.30, then trailing zeros can be dropped to 5.3.
Q94.Round 7.145 to 2 decimal places.
7.117.127.137.147.157.167.177.145
(1 mark)
  1. Read it. Round 7.145 to 2 decimal places.
  2. The fact. Look at the thousandths digit.
  3. The numbers. 7.145.
  4. Do the maths. Rounded to 2 dp = 7.15.
  5. Answer. 7.15
Answer: 7.15
Watch outFor rounding up cascades: 5.297 rounds to 5.30, then trailing zeros can be dropped to 5.3.
Q95.Round 2.856 to 2 decimal places.
2.822.832.842.852.862.872.882.856
(1 mark)
  1. Read it. Round 2.856 to 2 decimal places.
  2. The fact. Look at the thousandths digit.
  3. The numbers. 2.856.
  4. Do the maths. Rounded to 2 dp = 2.86.
  5. Answer. 2.86
Answer: 2.86
Watch outFor rounding up cascades: 5.297 rounds to 5.30, then trailing zeros can be dropped to 5.3.
Q96.What digit is in the HUNDREDTHS column of 3.05?
O3.0¹⁄₁₀₀5
(1 mark)
  1. Read it. What digit is in the HUNDREDTHS column of 3.05?
  2. The fact. Hundredths column.
  3. The numbers. 3.05.
  4. Do the maths. Hundredths digit = 5.
  5. Answer. 5
Answer: 5
Watch out3.05 has 0 tenths and 5 hundredths.
Q97.What is the value of the digit in the TENTHS column of 3.05?
O3.0¹⁄₁₀₀5
↑ 0 tenths = 0
(1 mark)
  1. Read it. What is the value of the digit in the TENTHS column of 3.05?
  2. The fact. Value = digit × column value.
  3. The numbers. 3.05, tenths = 0.
  4. Do the maths. 0 × 0.1 = 0.
  5. Answer. 0.0
Answer: 0.0
Watch outIn 3.05, the tenths digit is 0, so its value is 0.
Q98.Work out 0.037 × 100.
O0.0¹⁄₁₀₀3¹⁄₁₀₀₀7
(1 mark)
  1. Read it. Work out 0.037 × 100.
  2. The fact. Shift columns.
  3. The numbers. 0.037.
  4. Do the maths. = 3.7.
  5. Answer. 3.7
Answer: 3.7
Watch outFill any empty column with 0 as a placeholder.
Q99.Work out 45 ÷ 1000.
T4O5
(1 mark)
  1. Read it. Work out 45 ÷ 1000.
  2. The fact. Shift columns.
  3. The numbers. 45.
  4. Do the maths. = 0.045.
  5. Answer. 0.045
Answer: 0.045
Watch outFill any empty column with 0 as a placeholder.
Q100.Which is bigger, 3.09 or 3.1?
O33..01¹⁄₁₀₀9
(1 mark)
  1. Read it. Which is bigger, 3.09 or 3.1?
  2. The fact. Compare column by column.
  3. The numbers. 3.09 (3.09) vs 3.1 (3.10).
  4. Do the maths. Bigger = 3.1.
  5. Answer. 3.1
Answer: 3.1
Watch out3.1 = 3.10, which is bigger than 3.09.

Answer key — all 100

The rule and the working for each question.

QAnswerTypeWorking
Q14digit_in_colTenths digit = 4.
Q25digit_in_colHundredths digit = 5.
Q36digit_in_colTenths digit = 6.
Q49digit_in_colHundredths digit = 9.
Q51digit_in_colTenths digit = 1.
Q68digit_in_colHundredths digit = 8.
Q75digit_in_colTenths digit = 5.
Q82digit_in_colHundredths digit = 2.
Q93digit_in_colTenths digit = 3.
Q101digit_in_colHundredths digit = 1.
Q110.4value_of_digitValue = 0.4.
Q120.05value_of_digitValue = 0.05.
Q130.6value_of_digitValue = 0.6.
Q140.09value_of_digitValue = 0.09.
Q150.1value_of_digitValue = 0.1.
Q160.08value_of_digitValue = 0.08.
Q170.5value_of_digitValue = 0.5.
Q180.02value_of_digitValue = 0.02.
Q190.3value_of_digitValue = 0.3.
Q200.01value_of_digitValue = 0.01.
Q210.5compare_biggerBigger = 0.5.
Q220.72compare_biggerBigger = 0.72.
Q233.5compare_biggerBigger = 3.5.
Q242.31compare_biggerBigger = 2.31.
Q251.6compare_biggerBigger = 1.6.
Q264.44compare_biggerBigger = 4.44.
Q270.9compare_biggerBigger = 0.9.
Q285.2compare_biggerBigger = 5.2.
Q297.8compare_biggerBigger = 7.8.
Q3010.0compare_biggerBigger = 10.0.
Q310.03pick_smallestSmallest = 0.03.
Q321.22pick_largestLargest = 1.22.
Q330.05pick_smallestSmallest = 0.05.
Q342.77pick_largestLargest = 2.77.
Q355digit_in_colThousandths digit = 5.
Q365digit_in_colHundredths digit = 5.
Q370.04value_of_digitValue = 0.04.
Q380.006value_of_digitValue = 0.006.
Q390.09pick_smallestSmallest = 0.09.
Q401.55pick_largestLargest = 1.55.
Q413.75add_dec= 3.75.
Q427.35add_dec= 7.35.
Q434.1add_dec= 4.1.
Q441.6add_dec= 1.6.
Q458.11add_dec= 8.11.
Q462.65sub_dec= 2.65.
Q472.75sub_dec= 2.75.
Q483.75sub_dec= 3.75.
Q495.75sub_dec= 5.75.
Q503.28sub_dec= 3.28.
Q5121.25add_dec= 21.25.
Q5210.0add_dec= 10.0.
Q539.0add_dec= 9.0.
Q5420.0add_dec= 20.0.
Q5515.0add_dec= 15.0.
Q5612.35sub_dec= 12.35.
Q579.25sub_dec= 9.25.
Q587.45sub_dec= 7.45.
Q5915.01sub_dec= 15.01.
Q6017.75sub_dec= 17.75.
Q6134.7x103.47 × 10 = 34.7.
Q62347x1003.47 × 100 = 347.
Q633.47div1034.7 ÷ 10 = 3.47.
Q643.47div100347 ÷ 100 = 3.47.
Q655x100.5 × 10 = 5.
Q665x1000.05 × 100 = 5.
Q670.5div105 ÷ 10 = 0.5.
Q680.05div1005 ÷ 100 = 0.05.
Q696x10000.006 × 1000 = 6.
Q700.006div10006 ÷ 1000 = 0.006.
Q7128.5x10= 28.5.
Q72472x100= 472.
Q736.36div10= 6.36.
Q748.91div100= 8.91.
Q750.9x10= 0.9.
Q76500x1000= 500.
Q770.05div10= 0.05.
Q780.25div100= 0.25.
Q79150x100= 150.
Q800.5div1000= 0.5.
Q810.8compare_biggerBigger = 0.8.
Q820.2compare_biggerBigger = 0.2.
Q830.6compare_biggerBigger = 0.6.
Q840.4compare_biggerBigger = 0.4.
Q850.7compare_biggerBigger = 0.7.
Q863.5round_1dpRounded to 1 dp = 3.5.
Q870.6round_1dpRounded to 1 dp = 0.6.
Q885.3round_1dpRounded to 1 dp = 5.3.
Q897.1round_1dpRounded to 1 dp = 7.1.
Q902.9round_1dpRounded to 1 dp = 2.9.
Q913.48round_2dpRounded to 2 dp = 3.48.
Q920.63round_2dpRounded to 2 dp = 0.63.
Q935.3round_2dpRounded to 2 dp = 5.3.
Q947.15round_2dpRounded to 2 dp = 7.15.
Q952.86round_2dpRounded to 2 dp = 2.86.
Q965digit_in_colHundredths digit = 5.
Q970.0value_of_digit0 × 0.1 = 0.
Q983.7x100= 3.7.
Q990.045div1000= 0.045.
Q1003.1compare_biggerBigger = 3.1.
/ 100

Answer key & mark scheme

QAnswerRule usedWorking
Q114Linear sequence: continue by common differenced = +3; 11 + 3 = 14
Q213Linear sequence: continue by common differenced = +2; 11 + 2 = 13
Q317Linear sequence: continue by common differenced = +4; 13 + 4 = 17
Q430Linear sequence: continue by common differenced = +5; 25 + 5 = 30
Q519Linear sequence: continue by common differenced = +3; 16 + 3 = 19
Q628Linear sequence: continue by common differenced = +6; 22 + 6 = 28
Q728Linear sequence: continue by common differenced = +7; 21 + 7 = 28
Q817Linear sequence: continue by common differenced = +2; 15 + 2 = 17
Q935Linear sequence: continue by common differenced = +8; 27 + 8 = 35
Q1024Linear sequence: continue by common differenced = +3; 21 + 3 = 24
Q1122Linear sequence: continue by common differenced = +4; 18 + 4 = 22
Q1235Linear sequence: continue by common differenced = +5; 30 + 5 = 35
Q1336Linear sequence: continue by common differenced = +7; 29 + 7 = 36
Q1438Linear sequence: continue by common differenced = +9; 29 + 9 = 38
Q1527Linear sequence: continue by common differenced = +4; 23 + 4 = 27
Q1623Linear sequence: continue by common differenced = +5; 18 + 5 = 23
Q1732Linear sequence: continue by common differenced = +3; 29 + 3 = 32
Q1838Linear sequence: continue by common differenced = +6; 32 + 6 = 38
Q1933Linear sequence: continue by common differenced = +8; 25 + 8 = 33
Q2014Linear sequence: continue by common differenced = +2; 12 + 2 = 14
Q2190Linear sequence: continue by common differenced = +10; 80 + 10 = 90
Q2280Linear sequence: continue by common differenced = -5; 85 − 5 = 80
Q2348Linear sequence: continue by common differenced = +7; 41 + 7 = 48
Q2414Linear sequence: continue by common differenced = -4; 18 − 4 = 14
Q25105Linear sequence: continue by common differenced = +15; 90 + 15 = 105
Q2652Linear sequence: continue by common differenced = +11; 41 + 11 = 52
Q2732Linear sequence: continue by common differenced = -7; 39 − 7 = 32
Q2849Linear sequence: continue by common differenced = +9; 40 + 9 = 49
Q2948Linear sequence: continue by common differenced = -8; 56 − 8 = 48
Q3073Linear sequence: continue by common differenced = +12; 61 + 12 = 73
Q3131Linear sequence: find term by extendinga₁ = 4, d = +3; term 10 = 31
Q3236Linear sequence: find term by extendinga₁ = 1, d = +5; term 8 = 36
Q3351Linear sequence: find term by extendinga₁ = 7, d = +4; term 12 = 51
Q3450Linear sequence: find term by extendinga₁ = 2, d = +6; term 9 = 50
Q3552Linear sequence: find term by extendinga₁ = 10, d = +3; term 15 = 52
Q3668Linear sequence: find term by extendinga₁ = 5, d = +7; term 10 = 68
Q3766Linear sequence: find term by extendinga₁ = 3, d = +9; term 8 = 66
Q3858Linear sequence: find term by extendinga₁ = 8, d = +5; term 11 = 58
Q3977Linear sequence: find term by extendinga₁ = 1, d = +4; term 20 = 77
Q4078Linear sequence: find term by extendinga₁ = 6, d = +8; term 10 = 78
Q4132Geometric sequence: multiply by ratior = 2; 16 × 2 = 32
Q42243Geometric sequence: multiply by ratior = 3; 81 × 3 = 243
Q43625Geometric sequence: multiply by ratior = 5; 125 × 5 = 625
Q4464Geometric sequence: multiply by ratior = 2; 32 × 2 = 64
Q4580Geometric sequence: multiply by ratior = 2; 40 × 2 = 80
Q46162Geometric sequence: multiply by ratior = 3; 54 × 3 = 162
Q4796Geometric sequence: multiply by ratior = 2; 48 × 2 = 96
Q4810000Geometric sequence: multiply by ratior = 10; 1000 × 10 = 10000
Q49768Geometric sequence: multiply by ratior = 4; 192 × 4 = 768
Q501250Geometric sequence: multiply by ratior = 5; 250 × 5 = 1250
Q514Common difference7 − 3 = 4
Q527Common difference17 − 10 = 7
Q5311Common difference13 − 2 = 11
Q54-5Common difference15 − 20 = -5
Q559Common difference14 − 5 = 9
Q5631Check membership in linear sequenced = +4; lands exactly on 31
Q570Check membership in linear sequenced = +4; misses 30
Q5850Check membership in linear sequenced = +6; lands exactly on 50
Q590Check membership in linear sequenced = +7; misses 60
Q6033Check membership in linear sequenced = +4; lands exactly on 33
Q6125Square numbers: n × n5 × 5 = 25
Q6236Square numbers: n × n6 × 6 = 36
Q6349Square numbers: n × n7 × 7 = 49
Q6464Square numbers: n × n8 × 8 = 64
Q6581Square numbers: n × n9 × 9 = 81
Q6615Triangular numbers: gap grows by 1next gap = +5; 10 + 5 = 15
Q6721Triangular numbers: gap grows by 1next gap = +6; 15 + 6 = 21
Q6821Triangular numbers: gap grows by 1next gap = +6; 15 + 6 = 21
Q6928Triangular numbers: gap grows by 1next gap = +7; 21 + 7 = 28
Q7036Triangular numbers: gap grows by 1next gap = +8; 28 + 8 = 36
Q7113Fibonacci-style: term = sum of two before5 + 8 = 13
Q7226Fibonacci-style: term = sum of two before10 + 16 = 26
Q7321Fibonacci-style: term = sum of two before8 + 13 = 21
Q7439Fibonacci-style: term = sum of two before15 + 24 = 39
Q7565Fibonacci-style: term = sum of two before25 + 40 = 65
Q7629Fibonacci-style: term = sum of two before11 + 18 = 29
Q7734Fibonacci-style: term = sum of two before13 + 21 = 34
Q7837Fibonacci-style: term = sum of two before14 + 23 = 37
Q7955Fibonacci-style: term = sum of two before21 + 34 = 55
Q8076Fibonacci-style: term = sum of two before29 + 47 = 76
Q8113Dot pattern: linear sequenced = +3; pattern 5 = 13
Q8217Dot pattern: linear sequenced = +3; pattern 6 = 17
Q8327Dot pattern: linear sequenced = +4; pattern 7 = 27
Q8422Dot pattern: linear sequenced = +2; pattern 10 = 22
Q8525Dot pattern: linear sequenced = +4; pattern 6 = 25
Q8630Dot pattern: linear sequenced = +4; pattern 8 = 30
Q8725Dot pattern: linear sequenced = +4; pattern 7 = 25
Q8823Dot pattern: linear sequenced = +5; pattern 5 = 23
Q8928Dot pattern: linear sequenced = +6; pattern 5 = 28
Q9031Dot pattern: linear sequenced = +5; pattern 7 = 31
Q9132Identify sequence type (geometric ×2)Next term = 32
Q9248Identify sequence type (geometric ×2)Next term = 48
Q9325Identify sequence type (square)Next term = 25
Q9415Identify sequence type (triangular)Next term = 15
Q9513Identify sequence type (fibonacci)Next term = 13
Q9671Linear sequence: find term by extendinga₁ = 5, d = +6; term 12 = 71
Q9775Linear sequence: find term by extendinga₁ = 3, d = +8; term 10 = 75
Q9899Linear sequence: find term by extendinga₁ = 1, d = +7; term 15 = 99
Q99100Linear sequence: find term by extendinga₁ = 10, d = +9; term 11 = 100
Q10092Linear sequence: find term by extendinga₁ = 4, d = +11; term 9 = 92
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