Q1. Place value (incl. decimals) [4 marks]

(a) What is the value of the digit 5 in 0.40507? →
(b) Complete the expansion: 0.307 = × 0.1 + × 0.01 + × 0.001
Q2. Rounding (nearest, d.p., s.f.) [3 marks]

(a) Round 73846 to the nearest thousand. →
(b) Round 3.468 to 1 decimal place. →
(c) Round 0.007986 to 2 significant figures. →
Q3. Add & subtract numbers [4 marks]

(a) 4876 − 1939 =
(b) −3.4 + 7.28 =
Q4. Multiply & divide numbers (written methods) [4 marks]

(a) 307 × 24 =
(b) 5268 ÷ 12 =
Q5. Fractions — Fraction of an amount & reverse fraction [3 marks]

(a) Find of 210. →
(b) of a number is 210. Find the number. →
Q6. Fractions — Add & subtract (give answers in simplest form) [4 marks]

(a) =
(b) =
Q7. Fractions — Multiply & divide (simplify) [5 marks]

(a) =
(b) =
Q8. Convert between fractions, decimals & percentages (+ % of an amount) [5 marks]

(a) Write 0.375 as a fraction in simplest form and as a percentage: and %
(b) Write as a decimal. →
(c) Write 12% as a fraction in simplest form:
(d) Find 15% of 160. →
Q9. Estimation & approximation (1 s.f.) [3 marks]

By rounding to 1 significant figure, estimate 39.7 × 0.51.
Rounded numbers used: × → Estimate =
Q10. Measures & accuracy (units & error intervals) [5 marks]

(a) Convert: 3.5 kg = g and 2.4 m = cm
(b) A rope is measured as 8.4 m to the nearest 0.1 m. Give the error interval for its actual length (enter numbers only):
Lower bound = m Upper bound = m
Q11. Factors & multiples — Prime factors, HCF & LCM [6 marks]

(a) Write 84 as a product of prime factors (index form allowed). →
(b) Write 60 as a product of prime factors. →
(c) Hence find HCF of 84 and 60. →
(d) Hence find LCM of 84 and 60. →
Q12. Powers & roots [3 marks]

(a) Evaluate 5³. →
(b) Evaluate √196. →
(c) Hence find 5³ − √196. →
Q13. Roots & indices (laws) [4 marks]

(a) Simplify to a single power of 2: = 2 00
(b) Express . Give integers a and b: a = , b =
Q14. Standard form — Convert [3 marks]

(a) Write 0.00036 in standard form.
(b) Write as an ordinary number. →
Q15. Standard form — Calculate [6 marks]

(a) — give your answer in standard form:
(b) — give your answer in standard form:
(c) — give your answer in standard form:
Results
Your score
Name: —
0 / 62
Percentage: 0%
Actions
Question breakdown
| Question | Marks |
|---|