Cambridge A Level ยท 9709 ยท Paper 5 ยท Probability & Statistics 1
Mathematics 9709/52 Feb/March 2023 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 2, Feb/March 2023: the question paper and its official mark scheme, 7 questions worth 50 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 7
- Marks
- 50
- Grade A from
- 36
File names: 9709_m23_qp_52 ยท 9709_m23_ms_52
Grade thresholds for 9709/52 Feb/March 2023
The minimum raw marks Cambridge set for each grade on this component (out of 50). Thresholds change every session and variant, so always compare your score with the paper you actually sat.
| A | B | C | D | E |
|---|---|---|---|---|
| 36 | 29 | 24 | 18 | 12 |
Topics in this paper
Which syllabus chapters 9709/52 Feb/March 2023 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Probability | 3 | 20 |
| Permutations and Combinations | 2 | 15 |
| Representation of Data | 1 | 8 |
| Random Variables | 1 | 7 |
Questions in 9709/52 Feb/March 2023
- Question 1
Each year the total number of hours, x, of sunshine in Kintoo is recorded during the month of June. The results for the last 60 years are summarised in the table. โฆ
- Question 2
Alisha has four coins. One of these coins is biased so that the probability of obtaining a head is 0.6. The other three coins are fair. Alisha throws the four coins at the same time. The random variable X denotes โฆ
- Question 3
80% of the residents of Kinwawa are in favour of a leisure centre being built in the town. 20 residents of Kinwawa are chosen at random and asked, in turn, whether they are in favour of the leisure centre. (a) โฆ
- Question 4
The probability that it will rain on any given day is x. If it is raining, the probability that Aran wears a hat is 0.8 and if it is not raining, the probability that he wears a hat is 0.3. โฆ
- Question 5
Marco has four boxes labelled โฆ
- Question 6
In a cycling event the times taken to complete a course are modelled by a normal distribution with mean 62.3 minutes and standard deviation 8.4 minutes. (a) Find the probability that a randomly chosen cyclist has a time less than โฆ
- Question 7
(a) Find the number of di๏ฌerent arrangements of the 9 letters in the word DELIVERED in which the three Es are together and the two Ds are not next to each other. (b) Find the probability that a randomly chosen โฆ