O-LevelMathematicsNumber4024/22 · May/June 2023 · Q57 Marks
(a) The table shows the population and area of three countries in 2019. Country | Population | Area (km²) Sri Lanka | 2.18 × 10⁷ | 6.56 × 10⁴ South Korea | 5.17 × 10⁷ | 1.00 × 10⁵ Pakistan | 2.17 × 10⁸ | 8.82 × 10⁵ (b) In standard form, A = 8.6×10ⁿ and B = 1.5×10ⁿ⁻¹.
- (a)(i)Write down the value of the smallest population.[1]
- (a)(ii)Find the difference in area between Sri Lanka and Pakistan. Give your answer in standard form.[1]
- (a)(iii)The population density of a country is the number of people per square kilometre. Find the value of the largest population density from these countries.[2]
- (b)(i)Giving your answer in standard form, find in terms of n A - B[1]
- (b)(ii)A × B.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [1] 2.18 × 10⁷ or 21 800 000
- [1] 8.16 × 10⁵ or 8.164 × 10⁵ cao
- [2] B1 for one correct population density
- 517 or 5.17 × 10² cao
- [1] 8.45 × 10ⁿ final answer
- [2] B1 for 12.9 × 10²ⁿ⁻¹ oe seen
- 1.29 × 10²ⁿ final answer
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