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WASSCE July 2019 mathematics

OBJECTIVE TEST

1.

Express, correct to three significant figures, 0.003597.
A.
0.00359
B.
0.00360
C.
0.004
D.
0.359

2.

Evaluate (0.064)-1/3.
A.
-5/2
B.
-2/5
C.
2/5
D.
5/2

3.

A.
y=29
B.
y=-29
C.
y=-19
D.
y=19

4.

(27.63)2 - (12.37)2

A.
610
B.
611
C.
612
D.
614

6.

If T = {prime numbers} and M = {odd number} are subset of U = {x : 0 < x ≤}, and x is an interger,

find (T1 n M 1)

A.
{1,2,3,5,7,8,9}
B.
{1,2,4,6,8,10}
C.
{1,4,6,8,10}
D.
{4,6,8,10}

7.

A.
-1⁄2
B.
1⁄3
C.
1⁄2
D.
-1⁄3

8.

A.
7
B.
6
C.
5
D.
4

9.

If 6 and 14 are consective terms in arithmetic progression (A.P), find the value of p.
A.
8
B.
6
C.
10
D.
9

10.

A.
4√7 + √2
B.
4√7 - 9√2
C.
4√7 - 11√2
D.
4√7 - 21√2

11.

A.
3⁄5
B.
3⁄4
C.
5⁄3
D.
4⁄3

12.

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y ?

A.
H = p⁄y2
B.
H = p⁄2y2
C.
H = 2p⁄y2
D.
H = p⁄4y2

13.

solve 4x2 - 16x + 15 = 0

A.

A. x = -1 1⁄2 or -2 1⁄2

B.

B. x = 1 1⁄2 or -2 1⁄2

C.

C. x = 1 1⁄2 or 2 1⁄2

D.

D. x = 1 1⁄2 or -2 1⁄2

14.

A.

1.639 X 10-2

B.

1.639 X 10-1

C.

1.639 X 101

D.

1.639 X 102

16.

Bala sold an article for N6,900.00 and made a profit of 15%. calculate his percentage profit if he had sold it for N6,600.00.

A.
13%
B.
12%
C.
10%
D.
5%

17.

3p = 4q and 9p = 8q - 12, find the value of pq

A.
-12
B.
-7
C.
7
D.
12

18.

If (0.25)y find the value of y.

A.
-5⁄2
B.
-3⁄2
C.
3⁄2
D.
5⁄2

19.

There are 8 boys and 4 girls in a lift.what is the probability that the first person who steps out of the lift will be a boy

A.

1⁄4

B.

2⁄3

C.

1⁄3

D.

3⁄4

20.

A.

x+2⁄x-2

B.

x-2⁄x+4

C.

x+7⁄x-7

D.

x-7⁄x-7

21.

A.
-1
B.
1⁄3
C.
- 1⁄3
D.
1

22.

The total surface area of a solid cylinder is 165cm2.

If the base diameter is 7cm, calculate its height [Take ϖ = 22⁄7]

A.
2.0 cm
B.
4.0 cm
C.
4.5 cm
D.
7.5 cm

23.

If 2a = √64 and b⁄a = 3, evaluate a2 + b2

A.
48
B.
90
C.
160
D.
250

24.

Not drawn to scale

In ∆XYZ, ∣YZ∣ = 32 cm, ∠YXZ = 52 ° and ∠XZY = 90 °.

Find, the correct to nearest centimetre. ∣XZ∣.

A.
13cm
B.
20 cm
C.
25 cm
D.
31 cm

25.

A.
0.6
B.
0.9
C.
1.2
D.
2.4

26.

An arc subtends an angle of 72° at the center of the circle. Find the length if the radius of the circle is 3.5 cm [Take Π = 22⁄7]

A.
2.2 cm
B.
4.4 cm
C.
8.8 cm
D.
6.6cm

27.

Make b the subject of the relation:

Ib = 1⁄2 (a+b)h

A.
al⁄2-h
B.
al⁄2l-h
C.
2l-h⁄al
D.
ah⁄2l-h

28.

Eric sold his house through an agent who charged 8% comission on the selling price.If Eric recieved $117,760.00 after the sale, what was the selling price of the house ?
A.
$120,000.00
B.
$125,000.00
C.
$128,000.00
D.
$130,000.00

29.

Find the angle which arc of the length 22 cm subtends at the centre of a circle of radius 15cm. [Take π = 22⁄7 ]

A.
156°
B.
96°
C.
84°
D.
70°

30.

A rectangular board has length 15 cm and width xcm.If the side are doubled,find its new area

A.

15x cm2

B.

30x cm2

C.

45x cm2

D.

60x cm2

31.

In the diagram,POS and ROT are straight lines.QPQP is a parallelogram,

|QS| = |QT| and ∆OST = 50°; Calculate tyhe value of ∆OPQ

A.
160°
B.
140°
C.
120°
D.
100°

32.

Factorize completely

(2x2y)(x-y) + (2x -2y)(x + Y).

A.

2(x - y)

B.

2(x - y)(x + Y)

C.

4(x-y

D.

4(x - y)(x + y)

33.

The interior angle of a polygon are 3x°;2x°;4x°; 3x°; and 6x°. Find the size of the smallest angle of the polygon.

A.
30°
B.
40°
C.
60°
D.
80°

35.

find the equation of a straight line passing through the point (1,-5) and having gradient of 3⁄4

A.

3x-4y-23 = 0

B.

3x-4y+23 =0

C.

3x+4+23 =0

D.

3x+4y-23= 0

36.

36. The foot of a ladder is 6 m from the base of an electric pole the top of the ladder rests against the pole at a point 8 m above the ground. How long is the ladder

A.
7m
B.
10m
C.
12m
D.
14

39.

In the diagram O is the centre of the circle with raduis 18 cm. If the angle ∠ZXY = 70° , calculate the length of arc ZY. [Take π = 22⁄7

A.
80 cm
B.
44 cm
C.
22 cm
D.
11 cm

40.

In the diagram, RT is a tangent to the circle at R,∠PQR =70° , ∠QRT =52°re; ∠QSR = y and ∠PRQ = x. Use the diagram to answer question 40 and 41

A.
18°
B.
52&°
C.
60°
D.
45°

41.

Calculate the value x.

A.
48°
B.
55°
C.
58°
D.
70°

THEORY QUESTIONS

1.
Without using mathematical tables or calculators, evaluate
leaving the answer in standard form.
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2.
If
find, correct to two decimal places, the value of x
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3.
Z varies directly as x and inversely as twice the cube root of y. If Z = 8, when x = 4 and y = 1/8 find the relation for y in terms of x and Z.
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4.
Factorize completely:

4b2– ab + (a + 9b)2 – a2.

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