Page 196 - MAT KS3 Y8 Cambridge CheckPoint

20 Expand and simplify 6(3w + 1) − 4(w + 5).
21 Work out the values of x and y in this diagram.
3x + 3
All measurements are in centimetres.
3y – 6 y + 21
15

22 This frequency table shows the times 40 people waited to be served in a café.

Time (minutes) 5 6 7 8 9 10 11
Frequency 6 13 7 3 6 0 5

a Work out the modal waiting time. b Work out the median waiting time.
c Work out the mean waiting time. d Find the range of the waiting times.
23 The table shows how many people went to a cinema on two days.

Adults Children Total
Monday 120 180 300
Tuesday 140 135 275

a What percentage of the audience on Monday were adults?
b Work out the percentage decrease in the number of children who went to the cinema
on Tuesday compared to the number who went on Monday.
24 Draw an arc with a radius of 6 cm and a centre angle of 40°.

25 Using only a ruler and compasses, make an accurate copy of this triangle.
y
Show your construction lines. 10
8 cm
9
8
5 cm 7
26 Copy these axes and use your grid to draw the graph of y = 3x − 2. 6
5
4
3
2
1
0 x
–2 –1 1 2 3 4
–1
–2
–3
–4
27 Share $180 in the ratio 2 : 3 : 4. –5
–6
28 Jamilia throws an 8-sided dice, labelled 1 to 8.
–7
a What is the probability that the dice shows a 2?
–8
b What is the probability that the dice does not show a 6?
–9
c The dice is thrown 50 times and lands on an odd number 28 times.
–10
Work out the experimental probability of getting an even number.

194 End-of-year review