4MA0 Foundation January 2014 Paper 1 Q8
8 A box contains 20 nails.
The table shows information about the length of each nail.
| Length of nail (mm) | 25 | 30 | 40 | 50 | 60 |
|---|---|---|---|---|---|
| Number of nails | 1 | 8 | 4 | 5 | 2 |
(a) Which length of nail is the mode? (1)
(b) Viraj takes at random one nail from the box.
Find the probability that the length of the nail he takes is
Find the probability that the length of the nail he takes is
(i) more than 10 mm,
(ii) 40 mm,
(iii) 50 mm or 60 mm,
(iv) less than 35 mm.
(7)| Scheme | Marks |
|---|---|
| 30 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| (i) Answer: 1 | B1 |
| (ii) | M1 |
| \(\dfrac{4}{20}\) oe | A1 |
| (iii) 5 + 2 or 7 or \(\dfrac{5}{20} + \dfrac{2}{20}\) | M1 |
| \(\dfrac{7}{20}\) oe | A1 |
| (iv) | M1 |
| \(\dfrac{9}{20}\) oe | A1 |
| (7) | |
| (Total 8 marks) |
Notes
B1: Also accept \(\dfrac{20}{20}\) or \(\dfrac{1}{1}\) oe 100%
M1: for \(\dfrac{4}{a}\) with \(a > 4\) or \(\dfrac{b}{20}\) with \(b < 20\)
or 4 and 20 used with incorrect notation (eg. 4 : 20; 1 : 5)
A1: accept answer written as an equivalent fraction or 0.2 or 20%
A1: accept answer written as an equivalent fraction or 0.35 or 35%
M1: for \(\dfrac{9}{a}\) with \(a > 9\) or \(\dfrac{b}{20}\) with \(b < 20\)
or 9 and 20 used with incorrect notation (eg. 9 : 20)
A1: accept answer written as an equivalent fraction or 0.45 or 45%