BECE 1995 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 1995 MATHEMATICS PAPER 1
OBJECTIVES
1.
P
= {prime numbers less than 20} and Q = {odd numbers less than 10}.
Find
P ∩ Q
A.
{2, 3}
B.
{1, 3, 5, 7, 11)
C.
{3, 5, 7, 9}
D.
{3, 5, 7}
E.
{3, 5, 7, 11}
2.
Convert
104ten to a binary numeral
A)
1101000
B)
1010100
C)
1101100
D)
1011010
E)
1110100
3.
What
is the HCF of 48, 30 and 18 ?
A) 2 B) 3 C)
5 D)
6 E)
9
4. Express 34m 5cm 6mm in millimetres
A) 340506 mm
B) 342506 mm
C) 34056 mm
D) 30456 mm
E) 34565 mm
5.
Write
356.07 in standard form
A)
35.607 x 10
B)
35.607 x 102
C)
3.5607 x 102
D)
3.5607 x 10-2
E)
0.35607 x 103
6. Divide (1 ½ + ¼) by (1 ½ - ¼)
A) 5/7 B) 1 C) 1 2/5 D) 1 ¾ E) 3
7. Which property is illustrated by the statement a × (b+c) = a×b +
a×c
A) Inverse
B) Identity
C) Commutative
D) Distributive
E) Associative
8. How many edges has a cube?
A) 4 B) 6 C) 8 D) 12 E) 18
9. What is the mode of the following numbers:
4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4 and 1?
A) 3 B) 4 C) 5 D) 6 E) 7
10. What is the rule for the mapping below?
A) y = 2x+2 B) y = 2x C) y = x+2 D) y = x+1 E) y = 2x
11. Solve 4x – 6 < -2
A) x < 1 B) x > 1 C) x < -1 D) x > -1 E) x < 4
12.
In a school,
80 pupils wrote an examination and 64 of them passed. What is the percentage of
pupils who passed?
A) 8% B) 16% C) 20% D) 64% E) 80%
13.
The interior
angle of a regular polygon is 120°. How many sides has the polygon?
A) 3
B) 4 C) 5 D) 6 E) 8
14.
Kofi throws a
die. What is the probability that he throws the number 2?
A) 1 B) 2/3 C) ½ D) 1/3 E) 1/6
15. What is the image of - 4 under the mapping x à ½ x -2?
A) 4 B) 2 C) 0 D) –2 E) –4
16.
Find the value of P in the diagram above
A) 110 B) 90 C) 70 D) 50 E) 40
17. Make a subject of the relation P = 2(a + b)
A) a = (P-2b)/2
B) a = (P+2b)/2
C) a = (2b-P)/2
D) a = (P-b)/2
E) a = (P-2)/b
18. What is the value of x in the relation 5x = 125?
A) 2 B) 3 C) 4 D) 5 E) 6
19. Calculate the length of QR in triangle PQR
A) 11 B) 14 C) 16 D) 17 E) 25
20. Five cards are numbered 1 to 5. A card is picked at random. What is the probability that it has an even number?
A) 1 B) 4/5 C) 3/5 D) 2/5 E) 1/5
21.
22.
Arrange the
following fractions in descending order ¾ , 5/8 , 4/5 , 13/20
A) 4/5 , ¾ , 13/20 , 5/8
B) 4/5 , 5/8 , ¾ , 13/20
C) 5/8 , 4/5 , ¾ , 13/20
D) 4/5 , 5/8 , 13/20 , ¾
E) 13/20 , 5/8 , 4/5 , ¾
23.
How many
lines of symmetry has a square?
A) 0 B) 1 C) 2 D) 3 E) 4
24.
If (x, y)
→ (x, 2y), find the image of (2 ½, - ¼) under the same mapping.
A. (2 ½, -2)
B. (2 ½, - ½)
C. (2, 2)
D. (2, - ¼)
E. (2, 2 ½)
25.
The ages (in
years) of eight boys are:
14, 14.5, 15, 12, 11.5, 13, 10.5 and 13.5
What is their average age?
A) 14 B) 13 C) 12 D) 11 E) 10
26.
Convert 133five
to a base ten numeral.
A) 23 B) 25 C) 31 D) 40 E) 43
27.
Find the
simple interest on ¢15,000.00 at rate of 20% per annum for 5 years.
A) ¢10,000.00
B) ¢15,000.00
C) ¢30,000.00
D) ¢50,000.00
E) ¢90,000.00
28.
List all
members of the set {x: 2<x<8, x is an integer}
A. {3,4,5}
B. {2,3,4,5,6,7,8}
C. {2, 2 ½,3,4,5,6,7,8}
D. {3, 3 ½,3,4,5,6,7,8}
E. {3,4,5,6,7}
29.
Simplify
348.94 - 188.34
A) 60.60 B) 60.68 C) 160.60 D) 200.60 E) 206.60
30.
Find the
difference between the values of (2d)2 and 2d2 when d=3
A) 16 B) 18 C) 24 D) 28 E) 54
31.
The heights
of two boys are in the ratio 4:5. The shorter boy is 80cm. What is the height
of the taller boy?
A) 100cm B) 150cm C) 164cm D) 180cm E) 200cm
32.
Factorize
completely 5xy + 10ny
A.
5y(x + n)
B.
5y(x + 2n)
C.
5xy(1 + 2n)
D.
5(xy + 2ny)
E. x
(5x + 10n)
33.
If 13x – 12 =
5x + 60, find x
A) –9 B) –6 C) 4 D) 6 E) 9
34.
The length of
a spring when a mass of n kg is hung on it is L = (74+15n) mm. What is the
length of the spring when a mass of
1.20kg is hanged on it?
A) 75.20 mm
B) 89.00 mm
C) 92.00 mm
D) 97.00 mm
E) 104.00 mm
35. In the figure below, triangle ABC is an enlargement of triangle ADE. If |AE| = 20cm and |EC| = 10cm. What is the scale factor of the enlargement?
A) ½ B) 3/2 C) 2 D) 5/2 E) 3
36.
37.
A cylinder
has a radius 6cm and height 7cm. Find its volume. (Take π = 22/7)
A) 132cm3 B) 264cm3 C) 294cm3 D) 792cm3
E) 924cm3
38.
The angles a
and b in the figure above are
A) interior opposite
B)
corresponding
C) vertically opposite
D) acute
E) alternate
39.
A
man travelled a distance of 1.2km in 30 minutes. What distance can he cover in
55 minutes travelling
at the same speed?
A)
1.375km B)
2.02km C)
2.2km D)
12.02km E)
13.25km
40.
In the
diagram above, ∆ABC is an isosceles triangle. ∠ABD is 108°. Find the value of y.
A) 72 B) 60 C) 48 D) 36 E) 24
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