1. Which of these has the largest value?
- A25
- B52
- C33
- D42
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Answer: A. 25 = 32, 52 = 25, 33 = 27 and 42 = 16. The largest is 25.
By Team Megalecture · Updated 4 Nov 2026
147 exam-style questions on Number, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.
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Answer: A. 25 = 32, 52 = 25, 33 = 27 and 42 = 16. The largest is 25.
Answer: A. The integers greater than −2 and up to and including 3 are −1, 0, 1, 2, 3, so n(A) = 5. −2 is not included because of the strict <.
Answer: D. 11:36 to 12:00 is 24 minutes and 12:00 to 12:15 is 15 minutes, a total of 39 minutes. 1 h 27 min is the time from the station to the market.
Answer: A. 2.4 ÷ 6 = 0.4 and 10−3 ÷ 105 = 10−8, so the answer is 0.4 × 10−8 = 4 × 10−9. Typing it without brackets divides by 6 and then multiplies by 105, giving 40.
Answer: A. (−6) × (−4) = +24 and (−18) ÷ 3 = −6, so 24 + (−6) = 18. Two negatives multiplied give a positive.
Answer: B. Standard form is A × 10n with 1 ≤ A < 10 and n an integer. 72 and 0.72 are outside that range, and 53 is not a power of 10.
Answer: A. 20 years is 20 ÷ 5 = 4 half-lives, so the mass is 800 ÷ 24 = 800 ÷ 16 = 50 g. Dividing by 4 instead of 24 gives 200 g.
Answer: C. 0.45 of an hour is 0.45 × 60 = 27 minutes, so 3.45 hours = 3 hours 27 minutes. The digits after the decimal point are not minutes.
Answer: C. Use the same units: 2 hours = 120 minutes, and 45/120 × 100 = 37.5%. Treating 2 hours as 200 minutes gives 22.5%.
Answer: B. Change to improper fractions: 5/3 × 9/4 = 45/12 = 15/4 = 3 3/4. Multiplying the whole numbers and the fractions separately gives 2 1/6, and 3 11/12 is the sum, not the product.
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147, each with the answer and a short explanation, across 18 topics: Types of number, Sets, Powers and roots, Fractions, decimals and percentages, Ordering, The four operations, Indices I, Standard form, Estimation, Limits of accuracy, Ratio and proportion, Rates, Percentages, Using a calculator, Time, Money, Exponential growth and decay, Surds. Every chapter test draws ten of them, so you can take it many times.
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