cameroon gce O level June 2023 additional mathematics paper 1
cameroon gce O level June 2023 additional mathematics paper 1
12. Given that the sum to infinity of a geometric 18. cos 20
A 2 cos2 9 — 1
progression is 6 and the common ratio is— ,
3 B 2 coo2 0 -I- 1
then the first term is: C 2 sine 8 -1-1
D 2 siri2 9 — 1
A 4
B 2
C —2
D —4
14. The first three terms, in ascending powers of x,
in the binomial expansion of C1 — x)7 are:
A: B: C: D: 1— 7x + 42×2 1— 7x — 42×2 1— 7x ± 21×2 1 — 7x — 21×2
15. The number of ways in which the letters of the
word “BULLET” can be arranged is: 21
A 6!
2!
B 5!
2!
C 6!
D 5! 22.
16. 7C4 =
A 210
B 35
C 40
D 70 A n2 + c2 2accos70°
17. In which quadrant is strx and cosx negative B ci2 T C2 — 2accos70°
A First C n2 — c- • — 2accos70°
B Second D a- — c- • T 2accos70°
C Third
D Fourth
Turn Over
4
23. The coordinates of the midpoint joining the 29. The range of values ofx for which
points AC2, -3) and B(4, -5) is: – 11 < 2 are:
A: (6., -8)
B: (3,-4)
C: (3,4)
D: (-2,-3)
24. The tangent of the acute angle between the
lines y = 0 and y = 2x +2 is:
A 3
2
B 2
3
C 2
D 3
25. The equation of the line parallel to y = 2x and
passing through the point (-2, 3) is:
A y = 2x + 1
B y = 2x – 1
C y=2x+7
D y = 2x – 7
26. The perpendicular distance of the point
P (4,1) from the line x – 2y +1 = 0 is: A 3
5
B 7
5
C 3
_\3
D 7 A x < -3 or x > 1
B -3 < x < 1 C -1 < x < 3
D x<-1orx>3
30. Ndi bought x cups of rice at 450 FCFA each and y cups of beans at 270 FCFA each Given that the minimum amount of money
spent was 1800 FCFA , the inequality satisfying this condition is:
A 5x+3y> 20
B 5x + 3y 20 C Sx + :3y > ZU
D 5x + 3y < 20
A x < 3,y < 4, 4x + 337 < 12
B 3, y < 4, 4x + 3y ?_ 12 C x 3,y 4, 4x -1- 3y > 12
D ;Y < 3,y 4, 4x + 3y < 12
32.
27. The range of values of r for which
-3 < 1 – x 3 is:
A -2 < x < 4
B -4 < x < 2
C -2 < x <4
D -4 < x <2 33. 28. The range of values of x for which (x 1)(x + 3) .> 0 is:
A 3 < x < -1
B x<-1Ux> 3 C -3 < x < 1
D < -3 Ux > 1
5
34. The inverse of the function
2x-3
f: 1-4 x E R, is:
A x + 3
2 X e
B 5x + 3
C Sx +▪ 2
D 5x — 3
2
35. Which 2 x 2 matrix represents the
transformation T defined as T:(x,y) (3x — 2y, x + 3y)
39. The binary operation r, defined on the set
S = (1, 4,7, 13) forms a group. The order of the group is:
A 1
B 4
C 7
D 13
40.
a b c d
a bcda
bcddb
c da bc
da bc
A
B
C
D t 3
k —2
( 3
k1
( 3
k 3 ( I.
k —2 1)
3)
—2)
31
11
—2)
3)
3) From the operation table, the set,
T = (a, b,c,c1) forms a group under *. One subgroup of this group is:
A: ([a, d},*)
B: (fa, c},
C: ((c, ci),*)
D: d},0
36. The image of the point (1,0) under the
transformation T defined as
T: (A.-,y) (2x — —3x + y) is:
A (2,-3)
B (-1,1)
C (1,-2)
D (-1,-3)
37. The invariant line under the transformation T, 42 The direction of the vector equation of the line
2 7′ = + + s(i — 3j) is:
defined by the matrix M= 3 I 4) is:
A i -i- 2j
A 3x — y = 0 B — 33
B 3x y = 0 C Sj
Cx — 3y = 0 D 21 — j
D x 337 = 0
38. The binary operation * is defined over the set of real numbers as x * y = Cr + 3y)rnoci 4,
then 3 * 3 =
A U
B 1
