Higher November 2017 Paper 2 Q23
23 Here is some information about a tennis club.
There are 30 members with \(A \lt 20\)
There are 12 members with \(65 \leqslant A \lt 80\)
There are no members with \(A \geqslant 80\)
(a) Complete the histogram. [3 marks]
(b) Work out the total number of members of the club. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(30 \div 20\) or 1.5 | M1 | May be implied by correct labelling on vertical axis |
| \(12 \div 15\) or 0.8 | M1 | |
| Draws block for \(65 \leqslant x \lt 80\) with height 8 small squares | A1 | Mark intention |
| Alternative method 2 | ||
| \(12 \div (30 \div 6)\) or \(12 \div 5\) or 2.4 | M1 | |
| their \(2.4 \div 1.5\) or 1.6 | M1dep | |
| Draws block for \(65 \leqslant x \lt 80\) with height 8 small squares | A1 | Mark intention |
| Alternative method 3 | ||
| \(12 \div (30 \div 150)\) or \(12 \div 0.2\) or 60 | M1 | |
| their \(60 \div 7.5\) or 8 | M1dep | |
| Draws block for \(65 \leqslant x \lt 80\) with height 8 small squares | A1 | Mark intention |
| Alternative method 4 | ||
| \(1.5 \times (30 \div 6)\) or \(1.5 \times 5\) or 7.5 | M1 | |
| \(12 \div\) their 7.5 or 1.6 | M1dep | |
| Draws block for \(65 \leqslant x \lt 80\) with height 8 small squares | A1 | Mark intention |
Additional guidance
| Draws block for \(65 \leqslant x \lt 80\) with height 8 small squares | 3 marks |
| Answer | Mark | Comments |
|---|---|---|
| \(10 \times 4.5\) or \(9 \times 30 \div 6\) or \(225 \div (30 \div 6)\) or 45 or \(10 \times 3.6\) or \(7.2 \times (30 \div 6)\) or \(180 \div (30 \div 6)\) or 36 or \(25 \times 2\) or \(10 \times (30 \div 6)\) or \(250 \div (30 \div 6)\) or 50 or \(34.6 \times 30 \div 6\) or \(865 \div (30 \div 6)\) | M1 | oe May be seen on histogram |
| 173 | A1 |