BECE 2002 (April) Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 2002 (APRIL)
MATHEMATICS (MATHS)
OBJECTIVES (Paper 1)
1.
If P = {multiples of 4 less than 16}, find
P.
A. {4,8,10} B.
{4,8,12} C. {1,4,8,12} D.
{4,8,12,16}
2.
The addition below was carried out in base
x. Find x.
243
+ 221
1014x
A. four
B)
five C)
six D) seven
3.
A farmer left home at 4:35 am and arrived on
his farm at 6:18 am. How long did he take to get to his farm?
A)
1 hour 23
minutes
B)
1 hour 43
minutes
C)
2 hours
43 minutes
D)
10 hours 53
minute
4.
Express 2474.5 in standard form
A)
2.4745 x 102
B)
2.4745 x 103
C)
2.4745 x 10–2
D)
2.4745 x 10-3
5.
Simplify 1
½ + 2 ¼ - 3 5/8
A. 1/8 B) 3/8 C) 3/16 D)
5/16
6.
Find the next two numbers in the
sequence 2, 5, 9, 14, 20, _ , _ .
A. 26,
34 B)
26,35 C)
27,34 D) 27,35
7.
The sum of three numbers is 28,542. Two of
the numbers are 10,250 and 9,750. Find the third number.
A)
8,452 B)
8,542 C)
9,452 D)
9,542
8. 135 pencils were to be packed into boxes. Each
box could take 12 pencils. Find the number of boxes that were fully packed.
A. 10
boxes B)
11 boxes C) 12
boxes D) 13 boxes
9. Which of the fractions 13/20
, 3/5 , ¾ and 7/10 is the greatest
?
A. 3/5 B)
¾ C)
7/10 D) 13/20
10.
Out of ¢550,000.00 given to a school, an
amount of ¢325,000.00 was used. What fraction of the total amount was used?
A. 4/13 B) 9/13 C)
9/22 D) 13/22
11.
Kofi bought four pencils at ¢200.00 each and
five pens at ¢350.00 each. How much did he pay altogether?
A. ¢2,400.00
B)
¢2,450.00 C) ¢2,550.00 D) ¢2,650.00
12.
John’s uncle sent him ¢120,000.00 through a
bank which charges 5% commission. How much commission was paid?
A. ¢5,000.00 B)
¢6,000.00 C) ¢7,000.00 D) ¢7,200.00
13.
8 girls can weed a plot of land in 10 days.
How many days will 5 girls take to weed the same plot of land, working at the
same rate?
A. 6
days B)
8 days C)
12 days D) 16 days
14.
A mapping is defined by x→ x2 – 1.
What is the image of 3 under the mapping?
A. 5 B) 6 C)
7 D) 8
15.
A typist charges ¢2,000.00 for the first 5
sheets typed and ¢600.00 for any additional sheet. How much will Barbara pay,
if she presents 20 sheets for typing?
A. ¢8,000.00 B) ¢11,000.00 C)
¢12,000.00 D) ¢19,000.00
16.
Ama covered a distance of 100m in 12 seconds.
Express her speed in kilometres per hour.
A. 5km/h
B) 10
km/h C)
20 km/h D)
30 km/h
17.
Yakubu, Seidu and Amina shared an amount of money
in the ratio 3:4:5. Find how much was shared, if Amina received ¢40,000.00
A)
¢72,000.00
B)
¢80,000.00
C)
¢96,000.00
D)
¢120,000.00
18.
Abban paid ¢630,000.00 for a bicycle at a
discount of 10%. Find the actual selling price of the bicycle
A)
¢567,000.00
B)
¢573,000.00
C)
¢693,000.00
D)
¢700,000.00
19.
The population of a town in 1990 was 88,000.
The population increased by 20% in 1998. Find the population in 1998.
A. 70,400 B)
94,600 C) 96,800 D) 105,600
20.
If a * b = 2a – b, find 3 *
2
A. 1
B) 4
C) 5 D) 6
D) m
= 2r - 1
r + 1
Use the information below to answer questions 22 and 23
Forty per cent of
students in a class speak Ga and seventy-five per cent speak Twi. Each student
speaks at least one of the two languages.
22.
What percentage of the class speaks both Ga
and Twi?
A) 5% B) 10% C) 15% D)
30%
23.
If there are 40 students in the class, how
many of them speak Twi?
A)
10 B)
16 C)
24 D) 30
24.
A point (2, 1) is reflected in the y-axis.
Find its image.
A.
(-1, 2) B. (1, -2) C. (-2, 1)
D.
(2, -1)
25.
Expand (2a + b)(a – b).
A)
2a2 – 3ab – b2
B)
2a2 – ab – b2
C)
2a2 + ab + b2
D)
2a2 +3ab + b2
28.
Which of the following statements best describes the
construction above?
A)
Constructing
30°
B)
Constructing
60°
C)
Constructing 120°
D)
Constructing 135°
29.
In the diagram,
∆STR is the enlargement of ∆PQR.
If |TQ| = 8cm, |QR| = 4cm and |PQ| = 2.4cm, find
|ST|.
A) 4.8cm B) 7.2cm
C) 8.4cm
D) 9.6cm
Use the following information to answer questions 30
to 32
The pie chart below shows how a man spends his
monthly salary.
30.
Find the value of a
A)
75° B)
78° C)
117° D)
120°
31.
If the man earns ¢720,000.00 monthly, find
how much he spends on food.
A)
¢120,000.00
B)
¢180,000.00
C)
¢210,000.00
D)
¢240,000.00
32.
What percentage of his salary does he save?
A)
16.7% B)
21.7% C)
25.0% D)
29.2%
33.
In the diagram, XYZ is a triangle. YW is a straight
line. Angle XYZ = 52° and angle XZW = 125°.
Find angle YXZ.
A) 35° B) 55° C)
73° D) 107°
34.
There are 18 girls and 22 boys in a class. A
prefect is to be chosen at random from the class. What is the probability that
the prefect will be a girl?
A) 1/18
B) 9/20 C) 11/20 D)
9/11
35.
The length of a rectangle is three times its
width. If its perimeter is 24cm, find its width.
A) 3
cm B) 4 cm C)
6 cm D) 8 cm
36.
The interior angle of a regular polygon is 135°.
How many sides has the polygon ?
A) 6 B) 8 C)
9 D) 12
37.
A square of side 4cm is enlarged by a scale
factor of 3. Calculate the area of the enlarged square.
A) 36cm2
B) 72cm2 C) 96cm2 D)144cm2
38.
A rectangular tank has length 3m, width 2m
and height 1.5m. If the tank is filled with water to ⅔ of its capacity,
calculate the volume of water in the tank.
A) 4.5m3
B)
6.0m3 C) 7.5m3 D)
13.5m3
39.
A rectangular tank has length 3m, width 2m
and height 1.5m.
The Alpha Water
Company charges ¢40,000.00 for every 1 m3 of water. Find how much it
will cost to fill the tank completely.
A)
¢180,000.00
B)
¢240,000.00
C)
¢300,000.00
D)
¢360,000.00
40.
Express 34m 5cm 6mm in millimetres.
A) 3,456
mm B)
34,056 mm C) 34,506 mm D)
340,506 mm
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