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BECE 2018 - MATHEMATICS [PAPER I]
OBJECTIVE TEST
1.
Which of the following is arranged in ascending order?
-25, -64, 4, 17
-64, -25, 4, 17
-64, -25, 17, 4
17, 4, -25, -64
2.
If P = {x:x is an even number greater than two and less or equal to twelve}, list the members of P
{2, 4, 2, 8, 10, 12}
{3,4,6,8,10,12}
{2, 4, 6, 8, 10}
{4, 6, 8, 10, 12}
3.
Which of the following is an infinite set?
{1, 2, ..., 5, 6, 7}
{4, 6, 8, 10, 12}
{2, 3, 5, 7, 11, ...}
{3, 6, ..., 18, 21, ...33, 36}
4.
Find the H.C.F. of 18, 36 and 60.
22 x 32 x 5
22 x 32
2 x 3 x 5
2 x 3
5.
Write two hundred and two million, two thousand, two hundred and two in figures.
202,002,202
202,020,202
202,022,202
202,200,202
6.
Find the least number that can be added to 207 to make the sum divisible by 17.
3
13
14
30
7.
If P = {factors of 36} and Q = {multiples of 4 less than 40}, find the number of subsets in P∩Q
10
8
6
4
8.
Find the L.C.M of 10, 15 and 25.
90
120
150
300
9.
Evaluate
10.
Arrange
,
and
in ascending order.
,
,
,
,
,
,
,
,
11.
Find the simple interest on GH₵ 600.00 saved for 2 years 8 months at 5% per anum.
GH₵ 64.00
GH₵ 80.00
GH₵ 84.00
GH₵ 92.00
12.
The number of girls in a mixed school is 420. If the ratio of boys to girls in the school is 3:2, how many students are in the school?
1050
1470
1630
1680
13.
Mary had a chance to select a number from 1 to 20 randomly. What is the probability that the number is divisible by 3?
14.
Ama bought a pair of sandals for GH₵ 20.00 and solid it at GH₵ 24.00. Find the percentage profit.
4 %
17 %
20 %
44 %
15.
8 men can do a piece of work in 12 days. How long will 6 men take to do the same work if they work at the same rate?
14 days
16 days
18 days
20 days
16.
In the diagram, QP is parallel to ST, angle QPR = 68o and angle SRT = 40o.
Use the information to answer the question below:
Find the value of angle PQR.
40o
68o
72o
108o
17.
In the diagram, QP is parallel to ST, angle QPR = 68o and angle SRT = 40o.
Use the information to answer the question below:
Find the value of angle TSR.
40o
68o
72o
112o
18.
A train is travelling at a speed of 60 km/h. What distance will it cover from 10.45 am to 12.15 pm?
75 km
87 km
90 km
150 km
19.
The perimeter of a rectangle is 26 cm. If its length is 10 cm, find its area.
30 cm2
60 cm2
130 cm2
160 cm2
20.
Find the slope of the line 3x - 6y = 33.
-3
3
21.
If y = c + bx2, find y when c =
3
4
6
7
22.
The volume of a cylinder is 20 π cm3. If the height of the cylinder is 5 cm, find the base radius.
1 cm
2 cm
3 cm
4 cm
23.
Not drawn to scale
In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.
3.0 cm
8.0 cm
9.0 cm
19.2 cm
24.
How many edges has a triangular prism?
3
5
6
9
25.
Make m the subject of the relation:
q =
m =
m = 3q - hn
m = 3q + hn
m =
26.
Simplify 162 x 82
210
214
215
216
27.
simplify: 4a - 9b -2(2a - 3b).
8a + 3b
8a - 3b
-15b
-3b
28.
If u =
29.
Find the image of the point (2,5) under the transformation
(2,-3)
(2,2)
(2,3)
(2,7)
30.
Find the image of Q(-4,5) when rotated anticlockwise through 90o about the origin.
Q1(-5,4)
Q1(-5,-4)
Q1(4,-5)
Q1(4,5)
31.
The following data show the marks of students in a test:
10,4,1,4,3,3,2,1,1,7,8.
Use the information to answer the question below.
If the pass mark is 4, find the number of students who scored more than the pass mark.
1
2
3
4
32.
The following data show the marks of students in a test:
10,4,1,4,3,3,2,1,1,7,8.
Use the information to answer the question below.
Find the mean mark
3
4
7
8
33.
How many lines of symmetry has a rhombus?
2
3
4
5
34.
In an enlargement length AB = 3 cm and the length of its image A1B1 = 15 cm. Calculate the scale factor.
5
12
35.
Find the rule of the mapping:
| x | 0 | 3 | 6 | 9 | 12 |
| ↓ | ↓ | ↓ | ↓ | ↓ | ↓ |
| y | -2 | 4 | 10 | 16 | 22 |
y →
y → x - 2
y → x2 - 2
y → 2x - 2
36.
Solve the inequality:
x ≥ -14
x ≤ -14
x ≥ -13
x ≤ -13
37.
If 4 - x = 3(4x + 5), find the value of x.
1
-1
38.
In a class, there are 12 girls and 48 boys. Find the percentage of boys in the class.
20%
40%
60%
80%
39.
The bearing of P from Q is 060o. Find the bearing of Q from P
120o
150o
210o
240o
40.
Which of the following statements best describes the construction below?
Construction of line AB from P.
Construction of perpendicular from P to meet line AB.
Construction of an arc of a circle with center P.
Construction of the bisector of line AB.