### A level south west regional mock gce 2022 mathematics with statistics 1

A level south west regional mock gce 2022 mathematics with statistics 1

14. The coordinates of the centre of the circle

*2 + y2 – 4x + 6y + 5 = 0 a r e

20. If the roots of the quadratic equation

4×2 – (k – 5)x+1= 0 are equal, then the

A (-2,-3) possible values of k are

B (2,-3) A 1, 9

C (2,3) B -4, 4

D (-2, 3) C -1, 9

D 4, 5

15. To find the integral of

x2 , with respect to 21. A function f(x) is defined as f(x) =—2Ox ——^3,

x e R , x =£ 5. The range of f(x) is

x, a suitable substitution to use is

A x = 3sin 6? A 3

C x2 = 9 sin 0 B 3

D x2 ~ 3sin 0 reR, x ± –

16. The tangent of the acute angle between the lines C x e 1R, x =£ -3

2x — y 4-1= 0 and x — 2y + 3 = 0 is D rel, x & -2

A 2 22. If k + 3, 2k + 5 and 8 are three consecutive

terms of an arithmetic sequence, then the value

of k is

. 17. If (x – l)Qt- 2)(3-;g) < 0, then 2

A x <1, 2 < x < 3 23. p and q are two statements defined by

p: Comfort is awake

q: Comfort is reading

The best linguistic equivalence of

18. The table below shows some values of a

continuous variable x and their corresponding y

values on the curve y = f(y). Comfort is awake and reading

Comfort is awake and not reading

Comfort is not awake and she is not

An approximate value of the area of the region D Comfort is not awake or she is not reading

between the curve y = f(x), ordinates x = 1,

x = 7 and the x-axis is i 24. sin sin40 56 – sin 0

3 — sin 2 d

-a + 3b

4

A A 2 sin £?

B 2 s e c 6

B la+ 6b C 2 cos 0

D 2 esc 9

5. The determinant of the 3 x 3 matrix M, where

19. (sin 9 + cos 9 )2 =

1

A 1+-sin 20 A 2

B -3

B 1+ 2 sin 20

C 1

C 1+ 2sin20

D -1

D 1+ sin 20