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 (T^{1} 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⁄y^{2}

B.

H = p⁄2y^{2}

C.

H = 2p⁄y^{2}

D.

H = p⁄4y^{2}

13.

solve 4x^{2} - 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 10^{1}

D.

1.639 X 10^{2}

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 165cm^{2}.

A.

2.0 cm

B.

4.0 cm

C.

4.5 cm

D.

7.5 cm

23.

If 2^{a} = √64 and b⁄a = 3, evaluate a^{2} + b^{2}

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 *x*cm.If the side are doubled,find its new area

A.

15*x* cm^{2}

B.

30*x* cm^{2}

C.

45*x* cm^{2}

D.

60*x* cm^{2}

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

(2*x*2y)(*x*-y) + (2*x* -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 3*x*°;2*x*°;4*x*°;
3*x*°; and 6*x*°. 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°

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:

4b^{2}– ab + (a + 9b)^{2} – a^{2}.

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