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

### 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
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