Page 17 - 1202 Question Bank Mathematics Form 4

Section B
[45 marks]
Answer all the questions in this section.

11. (a) Diagram 11(a) shows a set of data. 12. Table 12 shows the distance that connecting 5 cities.

21 20 31 25 26 City A – B B – C B – D C – E C – D D – E
Diagram 11(a) Distance
(i) Calculate the standard deviation of the (km) 52 38 75 55 60 28
data.
Table 12
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(ii) Calculate the new variance if each value of (a) Complete the non-directed graph in the answer
the set of data is multiply by 3. [4 marks]
space to represent the information in Table 15.
Answer: [2 marks]
(a) (i) (b) Calculate the nearest distance from City A to
City E. [2 marks]
(c) Calculate the longest distance from City E to
City A such that all roads are only passed once.
[2 marks]
Answer:
(a)
B
A
(ii)
C

E
D
(b)
(b) Table 11(b) shows the frequency for the number
of goals scored by a team in football match. (c)

Score 0 1 2 3 4 5
Frequency 2 4 3 2 5 1
Table 11(b) 13. (a) Complete Table 13 in the answer space for the
(i) Calculate the interquartile range. equation y = 5x + 3x – 2 by writing values of
2
(ii) Hence, draw a box plot by using the y when x = –3 and x = 2.5. [2 marks]
quartiles obtained. [5 marks]
(b) For the subdivision of this question, use graph
Answer: paper. You can use a flexible ruler.
(b) (i) Using a scale of 2 cm to 1 unit on the x-axis and
2 cm to 5 units on the y-axis, draw a graph of
2
y = 5x + 3x – 2 for –3 < x < 3. [4 marks]
(c) From the graph in 13 (b), find
(i) the value of y when x = 1.8.
(ii) the values x when y = 2.2. [3 marks]
Answer:
(a)

(ii) x –3 –2.5 –1 0 1 2 3
y 34 0 –2 6 52
Table 13
(b) Refer to the graph on page 111.
(c) (i)

(ii)

110

APaper 1202QB Maths Form 4.indd 110 17/02/2022 2:49 PM