BECE 1992 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 1992 MATHEMATICS (MATHS) PAPER 1
OBJECTIVES
1.
Find
the set of prime factors of 12
A.
{3} B. {2, 3} C.
{3, 4} D. {2, 6} E.
{2,3,4,6,12}
2.
If
P = {7, 11, 13} and Q = {9, 11, 13}. Find P U Q.
A.
{7}
B.
{9}
C.
{7, 9}
D.
{7, 9, 11}
E.
{7, 9, 11, 13}
3. In the diagram, set Q has 30 members and set T has 25 members. Q ∩ T has 10 members. Find the number of members of Q U T.
A) 35 B) 45 C) 55 D) 65 E) 75
4. 
A) 5.0 B) 4.9 C) 2.5 D) 2.4 E) 1.2
5. Convert 39ten to a base five numeral.
A)
100111 B) 1110
C) 234 D) 124 E) 103
6. Find the least whole number which must be added to 207 to make it divisible by 17
A) 0 B) 3 C) 13 D) 14 E) 15
7. Simplify 2 x (3 1/3 + 1 1/6)
A) 2 1/3 B) 4 ¼ C) 6 2/3 D) 8 E) 9
8. If 8.51 ÷ 2.3 = 3.7, find the value of 85.1 ÷ 2.3
A) 0.037 B) 0.37 C) 3.7 D) 37 E) 370
9. Express 0.625 as a fraction in its lowest term.
A) 7/8 B) ¾ C) 5/8 D) ½ E) 1/3
10. An amount of money is shared between Kofi and Ama in the
ratio 3:5. If Ama received
¢4,650.00, what is Kofi’s
share?
A) ¢930.00 B)
¢1,550.00 C) ¢1,743.75 D) ¢2,790.00 E) ¢2,906.25
11. If $1.00 = ¢340.00, what was the cedi value of an article
which cost $6.50?
A) ¢6,630.00
B) ¢2,380.00
C) ¢2,210.00
D) ¢346.50
E) ¢333.50
12. Find the simple interest on ¢28,000.00 at 3 ½ % per annum
for 6 months.
A) ¢490.00
B) ¢560.00
C) ¢980.00
D) ¢4,000.00
E) ¢5,880.00
The bar chart shows the distances of 5 villages, P, Q, R, S and T from a market town. Use it to answer questions 13 and 14
13.
Which village is
farthest from the market town?
A) P B) Q C) R D) S E) T
14.
How much farther
is village Q than village R from the market town?
A) 2 km B) 3 km
C) 4km D) 5km E) 6km
15.
There are 20 beads
in a box. Some are red and some green. The chance that one bead taken at random from the box is red is ¼. Find the number of red
beads in the box.
A) 16 B) 15 C) 10 D) 5 E) 4
16.
A bag contains 12
mangoes of which 4 are not ripe. What is the chance of picking at random a ripe mango from the bag?
A) ⅛ B) ¼ C) ⅓ D) ½ E) ⅔
17.
Find the value of
p2 – 6p +
9 when p = -2
A) –7 B) 1 C) 12 D) 13 E) 25
18.
If x = 2, find the
value of q in the equation 3x – 4 = x + q
A) 8 B) 1 C) 0 D) –1 E) –8
19.
Which of the following
inequalities is shown on the number line above, where P is a real number.?
A) p ≥ 2 B) p > 2 C) p =
2 D) p ≤
2 E) p
< 2
Use the mapping below to answer questions 20 to 21
20. Find the value of x
A) –7 B) 5 C) 6 D) 7 E) 10
21.
Find the value of y
A) 3 B) 1 C) –1 D) –3 E) -5
22. In the diagram, find the bearing of P from Q
A) 045° B) 090° C) 135° D) 180° E) 270°
23. A polygon has 10 sides. Which of the following gives the sum of its interior angles?
A) 2 x 180°
B) 4 x 180°
C) 6 x 180°
D) 8 x 180°
E) 10 x 180°
The diagram shows the conversion graph for miles and kilometres.
24. Find in kilometres, the equivalent of 4 miles
A) 2.5 B) 3 C) 3.5 D) 6 E) 6.4
25. Express 4 kilometres in miles
A) 6.4 B) 6 C) 3.5 D) 3 E) 2.5
The diagram below is a right-angled triangle.Use it to answer questions 26 and 27
26. Find |XZ|
A) 2.4cm B) 7cm C) 13cm D) 17cm E) 60cm
27. Find tan ∠YXZ
A) 5/13 B) 5/12 C) 12/13 D) 12/5 E) 13/5
28. The diagram below shows two points P and Q in the number plane. Find the vector PQ.
29.
A) 7 B) 10 C) 13 D) 17 E) 25
30.
In the diagram, square P′Q′R′S′ is an enlargement of square PQRS from centre O. The area of PQRS is 4cm2 and the area of P′Q′R′S′ is 9cm2. Find the scale factor of the enlargement.
A) 2/3 B) 4/9 C) 1½ D) - 2/3 E) - 9/4
31.
The volume
of a cube is 27cm3. Find the area of one of its faces.
A) 3cm2 B) 6cm2 C) 9cm2 D) 18cm2 E) 54
cm2
32.
A cylinder
is of height 3 cm and radius 2 cm. Find its curved surface area.
[Take π = 3.142]
A) 7 cm2 B)
12 cm2 C)
18 cm2 D) 38 cm2 E) 54 cm2
33.
Find the
area of the parallelogram PQRS
A) 20cm2 B) 21cm2 C) 48cm2 D) 60cm2 E) 240cm2
34.
If
one-third of a number is added to one-fifth of the same number, the result is
8. Find the number.
A) 3 B) 5 C) 15 D) 40 E) 45
35.
If 1: x is
equivalent to 6 ¼ :25, find x.
A) 4 B) 5 C)
6.25 D) 24 E) 100
36.
Express 3/8 as a percentage.
A) 0.373% B) 12% C)
25% D) 37 ½% E) 40%
37.
Akosua buys
480 pineapples for ¢24,000.00. She sells all the pineapples for ¢28,000.00.
Find her profit percent.
A) 13.9% B) 16.7% C) 20% D) 40% E) 83.3%
38.
How many
edges has a cuboid?
A) 4 B) 6 C) 8 D) 10 E) 12
The pie chart shows the distribution of crops on a farm of area 250 hectares.
39.
Find the
area of the plot with corn.
A) 48.6ha B) 55.3ha C) 62.5ha D) 83.3ha E) 125.0ha
40.
What
fraction of the farm is planted with pepper?
A) ⅓ B) ¼ C) 1/5 D) 2/9 E) 7/32
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