Core Mathematics

Question 1

1A chord is 6 cm from the centre of a circle of radius 10 cm. Its length is

Medium

A. 16 cm B. 8 cm C. 20 cm D. 12 cm

Question 2

2How many integers satisfy −2 < x ≤ 3? ___

Medium

Your answer (fill in the blank)

Question 3

3If y = kx and y = 35 when x = 5, the constant k = ___.

Easy

Your answer (fill in the blank)

Question 4

4In which quadrant are both sine and cosine negative?

Easy

A. fourth B. second C. third D. first

Question 5

5The bearing of due east is

Easy

A. 270° B. 180° C. 000° D. 090°

Question 6

6Find the coordinates of the point dividing (2, 3) and (8, 9) internally in the ratio 1 : 2.

Hard

A. (3, 4) B. (6, 7) C. (4, 5) D. (5, 6)

Question 7

7If US$1 = GH₵ 12.5, convert GH₵ 1,000 to US dollars.

Medium

A. US$987.5 B. US$12,500 C. US$80 D. US$800

Question 8

8Make u the subject of v = u + at.

Easy

A. u = at − v B. u = v/at C. u = v + at D. u = v − at

Question 9

9Simplify 2⅓ − 1¾.

Easy

A. ⅞ B. 7/12 C. 5/12 D. 1⅞

Question 10

10If A = (6, −2) and B = (3, −5), find the vector AB.

Medium

A. (9, −7) B. (−3, −3) C. (3, 3) D. (3, −5)