# Sulvme!

### Junior School Certificate Exams Waec Mathematics 2000 Objectives View Theory

1:

What is the sum of the exterior angles of a regular pentagon?

A:

10o

B:

36o

C:

360o

D:

144o

E:

72o

2:

DLXI represents

A:

591

B:

509

C:

561

D:

511

E:

541

3:

What is the multiplicative inverse of  $3\frac{1}{2}$

A:

7

B:

2/7

C:

1/2

D:

$-3\frac{1}{2}$

E:

3

4:

If y = mx + c, make x the subject of the formula

A:

y + c

B:

y + c/m

C:

m(y - c)

D:

(y + c)

E:

$\frac{1}{m}\left ( y - c \right )$

5:

Simplify  $3xy \times 4x^{2}y^{2} \div 2xy$

A:

12x2y2

B:

6x2y2

C:

6xy

D:

12xy

E:

3

6:

Express in grams 8.397kg.

A:

83970g

B:

8397g

C:

839.7g

D:

83.97g

E:

8.397g

7:

Divide a number N by 2, then subtract 3 if the result is 7, then find N

A:

6

B:

7

C:

12

D:

14

E:

20

8:

Evaluate  $5.6 \times 0.024 \times 1.0863 \times 0.016$

A:

6

B:

7

C:

12

D:

0.15

E:

20

9:

The value of the 8 in 18214 is

A:

8 units

B:

8 tens

C:

8 hudred

D:

8 thousands

E:

8 tens thousands

10:

5300ml expressed in liters as

A:

0.053

B:

0.53

C:

5.3

D:

53

E:

530

11:

Find the square root  $\frac{36}{25}$

A:

$\frac{5}{9}$

B:

$\frac{3}{5}$

C:

$\frac{55}{6}$

D:

$\frac{6}{5}$

E:

8

12:

Evaluate 42 - ( -8)2

A:

20

B:

64

C:

-8

D:

48

E:

-48

13:

Which of the following is a perfect square?

A:

49

B:

32

C:

24

D:

8

E:

21

14:

Find the value of x in the triangle below?

A:

9o

B:

30o

C:

15o

D:

20o

E:

45o

15:

Which of the following is not a solid shape?

A:

kite

B:

cube

C:

cone

D:

prism

E:

sphere

16:

Evaluate 23.85 + 16.1 + 0.08 + 47

A:

97.03

B:

26.0

C:

74.32

D:

91.03

E:

45.01

17:

What is the coefficient of x2 in the expansion of (5 + x)(3 - x)?

A:

2

B:

8

C:

-1

D:

15

E:

1

18:

Find the value of the angle marked P in the diagram below

A:

10o

B:

30o

C:

40o

D:

70o

E:

110o

19:

Write 82000 in standard form

A:

$8.2 \times 10^{4}$

B:

$8.2 \times 10^{-4}$

C:

$8.2 \times 10^{3}$

D:

$8.2 \times 10^{-3}$

E:

$8.2 \times 10^{5}$

20:

Approximate 83.604 to the nearest ten

A:

80

B:

84

C:

83

D:

90

E:

83.6

21:

Which of the following has only one line of symmetry?

A:

square

B:

Rectangle

C:

Isosceles Triangle

D:

Regular polygon

E:

Equilateral Triangle

22:

Two angles of a triangle ABC are 46o and 67o calculate the third angle of ABC hence decide which one of the following kinds of triangle it is

A:

Equilateral triangle

B:

Isosceles triangle

C:

Scalene triangle

D:

Right angled triangle

E:

Obtuse angled triangle

23:

Three lines meet each other at a point on a straight line. If the sum of two of the angles formed is 163o . The other angle is

A:

17o

B:

75o

C:

163o

D:

197o

E:

343o

24:

The curved surface area of a cone is given by the equation $S = \pi r l$. Find S if r = 7cm, l = 10cm, $\pi$ = 22/7

A:

110cm2

B:

154cm2

C:

220cm2

D:

275cm2

E:

330cm2

25:

Express 342six as a number in base 10

A:

34.2

B:

44

C:

57

D:

134

E:

3420

26:

The ratio of boys to girls in a class of 45 pupils is 2:7. How many boys are there in the class?

A:

15

B:

10

C:

18

D:

20

E:

35

27:

If y = x2 - 2x - 3, calculate the value of y when x = 2

A:

-11

B:

3

C:

6

D:

5

E:

-3

28:

The mean of three numbers is 20. What will be the new mean if 18 is added to the previous three numbers?

A:

19.5

B:

20

C:

26

D:

18.5

E:

7

29:

What is the value of p in the diagram below?

Diagram coming soon

A:

90o

B:

47.2o

C:

95o

D:

40o

E:

44o

30:

Solve the inequality 3(x + 8) < 5x + 26

A:

x > -1

B:

x < -1

C:

x > 2

D:

x > -2

E:

x > 0

31:

What is the value of 3-2 ?

A:

-9

B:

1/9

C:

-6

D:

-1/9

E:

-1/6

32:

A man can walk 12km in 3 hours. How long will he take in a distance of 36km

A:

6hrs

B:

8hrs

C:

9hrs

D:

12hrs

E:

6hrs

33:

coming

A:

coming

B:

coming

C:

coming

D:

coming

E:

coming

34:

What is the next term in the set of numbers 3,9,27 ......... ?

A:

30

B:

33

C:

49

D:

54

E:

71

35:

A triangle with all three sides equal is called?

A:

An equilateral triangle

B:

A perfect triangle

C:

An equilateral triangle

D:

An equilibrium triangle

E:

An equivalent triangle

36:

What is the perimeter of the figure below?

Diagram coming soon

A:

80 cm

B:

36 cm

C:

30 cm

D:

21 cm

E:

15 cm

37:

A woman bought a dress for #150.00 and sold it for #180.00. What is her gain percent

A:

5%

B:

10%

C:

20%

D:

30%

E:

60%

38:

P varies directly as Q and p = 8 and Q = 1. What is the constant of variation.

A:

0

B:

1

C:

8

D:

16

E:

64

39:

Write  $\frac{3x}{5} - \frac{x}{2}$ as a single fraction

A:

$\frac{2x}{7}$

B:

$\frac{x}{10}$

C:

$\frac{4}{7x}$

D:

$\frac{1}{20x}$

E:

$\frac{10}{11x}$

40:

What is the simple interest on 10,000 at the 8% per annum for $2\frac{3}{4}$ years ?

A:

#320

B:

#400

C:

#2200

D:

#120

E:

#200

41:

Simplify 82.5 + 0.025, express the answer in standard form

A:

$3.3 \times 10^{3}$

B:

$3.3 \times 10^{-2}$

C:

$3.3 \times 10^{-1}$

D:

$3.3 \times 10^{-3}$

E:

$3.3 \times 10^{4}$

42:

Find the value of 1012 in base two ***

A:

1010

B:

11010

C:

10100

D:

10101

E:

11001

43:

If $sin \theta$ is 0.6 find d in meters

Diagram coming

A:

4m

B:

6m

C:

8m

D:

12m

E:

16m

44:

The coefficient of x in the expansion of (x - 6)(x - 6) is:

A:

-18

B:

-12

C:

-2

D:

+7

E:

+9

45:

When the sum of money is shared between 40 people, they each get #8. If the money is shared equally between 50 people, how much will each get?

A:

#6

B:

#6.40

C:

#8

D:

#9.60

E:

#19

46:

The reciprocal of 0.08 is 12.5, the reciprocal of 80 is

A:

0.00125

B:

0.0125

C:

0.125

D:

1.25

E:

12500

47:

In a class of 40 students, 8 play football and 22 play hockey. What percentage plays neither football nor hockey

A:

25%

B:

10%

C:

30%

D:

75%

E:

4%

48:

Kalu and Ezebuiro share #440 in the ratio 3:5 respectively. How much is Ezebuiro's share more than Kalu's share

A:

#100

B:

#165

C:

#275

D:

#330

E:

#290

49:

When 1 is added to the square of a number, the sum gives 10. What is the number?

A:

6

B:

2

C:

3

D:

$4\frac{1}{2}$

E:

5

50:

Write 0.104 as a fraction in its lowest term

A:

$\frac{13}{125}$

B:

$\frac{14}{125}$

C:

$\frac{52}{125}$

D:

$\frac{26}{125}$

E:

$\frac{13}{250}$

51:

Which of the following are factors of 3x2 - 6x - 9

I. 3

II.(x - 3)

III.(x + 1)

A:

I only

B:

II only

C:

III only

D:

I and II only

E:

I, II and III

52:

A herdsman bought a cow for #25,000, he sold it to a butcher at a profit of 20%. The butcher then sold it at a profit of 20%. What is the final selling price of the cow?

A:

#29.000

B:

#39.200

C:

#32.000

D:

#35.0000

E:

36.000

53:

If the area of a trapezium is $40\frac{1}{2}cm^{2}$, find the value of x (see figure below)

A:

3cm

B:

4cm

C:

5cm

D:

5.5cm

E:

1.5cm

54:

What is the volume of a cylinder with radius $3\frac{1}{2}$cm, height 20cm

A:

19.25cm3

B:

72cm3

C:

125cm3

D:

77cm3

E:

605cm3

55:

Express 21.8% as a decimal number

A:

218.0

B:

2.18

C:

0.218

D:

0.0218

E:

21.8

56:

Which of the following statement is false?

A:

vertically opposite angles are supplementary

B:

corresponding angles are equal

C:

Alternate angles equal 180o

D:

Two right angles equal 180o

E:

Angles on a straight line sum up to 180p

57:

Solve the equation 3(1 - x) = 1/2

A:

2

B:

$1\frac{1}{2}$

C:

$-1\frac{1}{2}$

D:

$\frac{11}{5}$

E:

$\frac{5}{6}$

58:

Using the data in the figure below, find the length of XQ

A:

6 cm

B:

7 cm

C:

11 cm

D:

15 cm

E:

18 cm

59:

What is the probability of picking zero among the numbers 8, 0, 7, 8, 5, 4 and 8 ?

A:

$\frac{3}{8}$

B:

$\frac{1}{8}$

C:

$\frac{1}{4}$

D:

$\frac{1}{2}$

E:

$\frac{2}{7}$

60:

Express 36k as a percentage of 12.00

A:

67%

B:

18%

C:

12%

D:

6%

E:

3%