Core Mathematics

Question 1

1Where does the graph of y = x² + 5x cut the x-axis?

Medium

A. x = 0 and x = 5 B. x = 5 and x = 0 C. x = 0 only D. x = −5 and x = 0

Question 2

2To solve x² − 2x = 3 from the graph of y = x² − 2x, draw the line

Hard

A. y = −3 B. y = 3 C. y = x D. x = 3

Question 3

3For y = x² − 2x − 8, the value of y when x = −2 is ___.

Easy

Your answer (fill in the blank)

Question 4

4If a > 0 in y = ax² + bx + c, the graph

Easy

A. is a straight line B. opens upwards and has a minimum point C. has no turning point D. opens downwards

Question 5

5A quadratic graph can have two turning points.

Easy

A. True B. False

Question 6

6The graph of y = (x − 2)² touches the x-axis at x = 2.

Medium

A. True B. False

Question 7

7For y = 3x² − 3x + 5, the value of y when x = 1 is ___.

Easy

Your answer (fill in the blank)

Question 8

8For y = x² + 6x + 1, the value of y when x = −3 is ___.

Easy

Your answer (fill in the blank)

Question 9

9y = −x² has a maximum point.

Easy

A. True B. False

Question 10

10The graph of y = ax² + bx + c is called a

Easy

A. hyperbola B. parabola C. straight line D. circle