# SPM Mathematics (Model Test Paper)

SPM Mathematics (Model Test Paper)

Section B
[48 marks]
Answer any four questions from this section.

12 (a) Complete Table 1 in the answer space for the equation y = 2x2 − 8x + 1.
[2 marks]

(b) For this part of the question, use the graph paper provided. You may use a flexible curve rule. By using a scale of 2 cm to 1 unit of the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = 2x2 − 8x + 1 bagi 0 ≤ x ≤ 6.  [4 marks]
(i)      the value of y when x = 3,
(ii)   the value of x when y = 2,                                                                                  [2 marks]

(d)   Draw a suitable straight line on your graph to find all the values of x which satisfy the equation 2x2 − 4x − 11 = 0 for 0 ≤ x ≤ 6. State the values of x.                               [4 marks]

(a)
 x 0 0.5 1 2 3 4 5 5.5 6 y 1 −2.5 −5 −7 −5 1 25

Table 1
(a)
 x 5 5.5 y 11 17.5

(b)

(c)(i)
From the graph, when x = 3, y = −5

(c)(ii)
From the graph, when y = 2, x = 4.15

(d)
y = 2x2 − 8x + 1 ---- (1)
2x2 − 4x − 11 = 0
0 = 2x2 − 4x – 11 ---- (2)
(1)   minus (2),
The suitable straight line is y = −4x + 12

 x 0 2 y 12 4

From the graph, x = 3.6