1MA0 Foundation June 2016 Paper 2 Q23
23 The body mass index, \(B\), for a person of mass \(m\) kg and height \(h\) metres is given by the formula
\[B = \frac{m}{h^2}\]Usman has a mass of 50 kg.
He has a height of 1.57 m.
(a) Work out Usman’s body mass index.
Give your answer correct to one decimal place. (2)
Give your answer correct to one decimal place. (2)
Tom’s height is 1.80 m.
He wants his body mass index to be 21
(b) Work out the mass that will give Tom a body mass index of 21 (2)
Tom is a ski jumper.
The maximum length of skis he can use is 145% of his height.
Tom’s height is 1.80 m.
(c) Work out the maximum length of skis Tom can use. (3)
| Answer | Mark | Notes |
|---|---|---|
| 20.3 | 2 | M1 for \(\dfrac{50}{1.57^2}\) oe A1 for answer in range 20.2 to 20.3 |
| Answer | Mark | Notes |
|---|---|---|
| 68.04 | 2 | M1 for \((m =)\ 1.8^2 \times 21\) oe A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 2.61 | 3 | M2 for a complete method to find 145% of 1.8, eg. \(\frac{145}{100} \times 1.80\) oe (M1 for a method to find 45% of 1.8, eg. \(\frac{45}{100} \times 1.80\) (= 0.81) or for a multiplication factor of 1.45) A1 cao |