Foundation January 2020 Paper 2 Q9
9 There are 25 pens in a packet.
7 of the pens are green.
10 of the pens are black.
The rest of the pens are red.
Jurgen takes at random a pen from the packet.
(a) Find the probability that
(i) the pen is black, (1)
(ii) the pen is red. (1)
Heidi records the number of packets of pens sold in her shop to each customer last Friday.
The table shows information about her results.
| Number of packets | Frequency |
|---|---|
| 1 | 14 |
| 2 | 17 |
| 3 | 15 |
| 4 | 12 |
| 5 | 9 |
(b) Write down the mode of the number of packets. (1)
(c) Work out the total number of packets of pens sold last Friday. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{10}{25}\) | B1 |
| (1) |
Notes
B1: for 0.4 oe
| Scheme | Marks |
|---|---|
| \(\dfrac{8}{25}\) | B1 |
| (1) |
Notes
B1: for 0.32 oe
(penalise incorrect notation once only in (a))
| Scheme | Marks |
|---|---|
| 2 | B1 |
| (1) |
Notes
B1: for 2
| Scheme | Marks |
|---|---|
| (1 × 14) + (2 × 17) + (3 × 15) + (4 × 12) + (5 × 9) (= 14 + 34 + 45 + 48 + 45) | M1 |
| 186 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: For correct products seen – condone one incorrect product or one missing product
A1: for 186