4400 Higher June 2005 Paper 3 Q12
12 The height of a hall is 12 m.
A scale model is made of the hall.
The height of the scale model of the hall is 30 cm.
(a) Express the scale of the model in the form \(1 : n\) (3)
The length of the scale model of the hall is 95 cm.
(b) Work out the real length of the hall.
Give your answer in metres. (3)
Give your answer in metres. (3)
| Scheme | Marks |
|---|---|
| 30 : 1200 or 1200 : 30 oe | M2 |
| 1 : 40 | A1 |
| (3) |
Notes
M2: For 30 : 1200 or 1200 : 30 oe [M1 for 12(00…) : 30(00…) or 30(00…) : 12(00…) oe]
A1: Accept 1 : 0.025, 1 : \(\frac{1}{40}\) oe, \(n = 40\)
ft if M1 scored
SC B2 for 1 : 2.5, 1 : 4, 1 : 0.4, 1 : 400, 1 : 25, 1 : 250
| Scheme | Marks |
|---|---|
| 95 × “40” or 3800 | M1 |
| “3800” ÷ 100 | M1 |
| 38 | A1 |
| (3) | |
| (6 marks) |
Notes
A1: ft from their \(n\)
Alternative
| \(\dfrac{95}{30}\) | M1 |
| \(\times 12\) | M1 |
| 38 | A1 |
(dep)