Higher November 2021 Paper 2 Q17
17 Some people took part in the first round of a competition.
The histogram gives information about the scores of these people in the first round.
20% of the people got a score high enough for them to qualify for the second round.
Work out an estimate for the score needed to qualify for the second round.
You must show all your working. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 30 | P1 | for process to find one correct frequency, eg. \(0.8 \times 5\ (= 4)\) or \(1.6 \times 10\ (= 16)\) or \(2.2 \times 10\ (= 22)\) or \(1.2 \times 15\ (= 18)\) or to find one correct area eg \(5 \times 8\ (= 40)\) or \(10 \times 16\ (= 160)\) or \(10 \times 22\ (= 220)\) or \(15 \times 12\ (= 180)\) |
| P1 | for process to find total number of people, eg. \(\text{``}4\text{''} + \text{``}16\text{''} + \text{``}22\text{''} + \text{``}18\text{''}\ (= 60)\) or for process to find total area eg \(\text{``}40\text{''} + \text{``}160\text{''} + \text{``}220\text{''} + \text{``}180\text{''}\ (= 600)\) | |
| P1 | for process to find 20% of the total number of people, eg. \(\text{``}60\text{''} \times 0.2\) oe \((= 12)\) or for process to find 20% of the total area \(\text{``}600\text{''} \times 0.2\) oe \((= 120)\) | |
| A1 | cao |
Additional guidance
Accept equivalent methods proportional to those shown.
Condone 1 error in reading from the graph for 2nd and 3rd P marks
NB: correct answer without supportive working gets 0 marks