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Senior School Certificate Exams Waec Mathematics 2015 (May/June) Objectives View Theory


1:

if   left { x:2leq xleq 18; ; xepsilon integer right } and 7 + x = 4 (mod9), find the highest value of x

A:

2

B:

5

C:

15

D:

18

E:

No option

View Solution

2:

The sum of 110112, 111112, and 10000 is 10m10n0. Find the values of m and n.

A:

m = 0, n = 0

B:

m = 1, n = 0

C:

m = 0, n = 1

D:

m = 1, n = 1

E:

No option

View Solution

3:

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to #1.00, how much did the engine cost in naira?

A:

#250,000.00

B:

#200,000.00

C:

#150,000.00

D:

#100,000.00

E:

No option

View Solution

4:

If   frac{27^{x} times 3^{1 - x}}{9^{2x}} = 1 , find the value of x

A:

1

B:

1/2

C:

-1/2

D:

-1

E:

No option

View Solution

5:

Find the 7th term of the sequence: 2, 5, 10, 17, 26, .........

A:

37

B:

48

C:

50

D:

63

E:

No option

View Solution

6:

Given that log64 = 3, evaluate x log8

A:

6

B:

9

C:

12

D:

24

E:

No option

View Solution

7:

If 2n = y, find 2(2 + n/3)

A:

4y1/3

B:

4y-3

C:

2y1/3

D:

2y-3

E:

No option

View Solution

8:

Factorize completely: 6ax - 12by - 9ay + 8bx.

A:

(2a - 3b)(4x + 3y)

B:

(3a + 4b)(2x - 3y)

C:

(3a - 4b)(2x + 3y)

D:

(2a + 3b)(4x - 3y)

E:

No option

View Solution

9:

Find the equation whose roots are 3/4 and -4

A:

4x2 - 13x + 12 = 0

B:

4x2 - 13x - 12 = 0

C:

4x2 + 13x - 12 = 0

D:

4x2 + 13x + 12 = 0

E:

No option

View Solution

10:

If m=4, n=9 and r=16, evaluate  frac{m}{n} - 1frac{7}{9} + frac{n}{r}

A:

1frac{5}{16}

B:

1frac{1}{16}

C:

frac{5}{16}

D:

-frac{37}{48}

E:

No option

View Solution

12:

Ada draws the graphs of y = x2 - x - 2 and y = 2x - 1 on the same axes. Which of these equations is she solving?

A:

x2 - x - 30 = 0

B:

x2 - 3x - 1 = 0

C:

x2 - 3x - 3 = 0

D:

x2 + 3x - 1 = 0

E:

No option

View Solution

13:

The volume of a cone of height 3cm is 381/2 cm3. Find the radius of its base. (Take pi = 22/7)

A:

3.0cm

B:

3.5cm

C:

4.0cm

D:

4.5cm

E:

No option

View Solution

14:

A sector of a circle with radius 6cm subtends an angle of 60o at the center. Calculate its perimeter in terms of pi

A:

2(pi+6)cm

B:

2(pi+3)cm

C:

2(pi+2)cm

D:

(pi+12)cm

E:

No option

View Solution

15:

The dimensions of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank [Take pi = 22/7]

A:

14m

B:

7m

C:

3frac{1}{2} m

D:

1frac{3}{4}m

E:

No option

View Solution

16:

In the diagram, O is the center of the circle. If PQ//RS and <ONS = 140o, find the size of <POM.

A:

40o

B:

50o

C:

60o

D:

80o

E:

No option

View Solution

17:

In the diagram, PTR is a tangent to the circle center O. If angle TON= 108o, calculate the size of angle PTN.

A:

132o

B:

126o

C:

108o

D:

102o

E:

No option

View Solution

18:

In the diagram, PQ//RT, QR//SU, <PQR 48o and <RTS = x. Find the value of x.

A:

134o

B:

132o

C:

96o

D:

48o

E:

No option

View Solution

19:

In the diagram, O is the center of the circle, RT is a diameter, <PQT 33o and <TQS 76o. Use the diagram to answer questions 19 and 20

Calculate the value of angle PTR

 

A:

73o

B:

67o

C:

57o

D:

37o

E:

No option

View Solution

20:

Find the size of angle PRS. 

A:

76o

B:

71o

C:

38o

D:

33o

E:

No option

View Solution

21:

The table below shows some values for a linear graph. Use it to answer questions 21 and 22

Find the gradient of the line 

59853-snipped.PNG
A:

1

B:

2

C:

3

D:

4

E:

No option

View Solution

22:

What is the value of y when x = 2?

A:

5

B:

7

C:

9

D:

11

E:

No option

View Solution

23:

Given that tan x = 2/3 where 0^{o}leq xleq 90^{o}, find the value of 2 sin x

A:

frac{2sqrt{13}}{13}

B:

frac{3sqrt{13}}{13}

C:

frac{4sqrt{13}}{13}

D:

frac{6sqrt{13}}{13}

E:

No option

View Solution

24:

PQRS is a square. If x is the midpoint of PQ, calculate, correct to the nearest degree, <ZPX

A:

53o

B:

55o

C:

63o

D:

65o

E:

No option

View Solution

25:

The angle of elevation of an aircraft from a point K on the horizontal ground is 30o. If the aircraft is 800m above the ground, how far is it from K?

A:

400.00m

B:

692.82m

C:

923.76m

D:

1,600.00m

E:

No option

View Solution

26:

The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students.

A:

32o

B:

45o

C:

60o

D:

75o

E:

No option

View Solution

27:

The scores of twenty students in a test are as follows: 44,47,48,49,50,51,52,53,53,54,58,59,60,61,63,65,67,70,73,75. Find the third quartile

A:

62

B:

63

C:

64

D:

65

E:

No option

View Solution

28:

The table shows the distribution of the scores of some students in a test. Calculate the mean score.

60299-snipped2.PNG
A:

5.6

B:

6.2

C:

6.6

D:

7.0

E:

No option

View Solution

29:

The probabilities that Kebba, Ebou and Omar will hit a target are frac{2}{3},  frac{3}{4} and frac{4}{5} respectively. Find the probability that only Kebba will hit the target.

A:

frac{2}{5}

B:

frac{7}{60}

C:

frac{1}{30}

D:

frac{1}{60}

E:

No option

View Solution

30:

In the diagram. VW//YZ, /WX/ = 6cm, /XY/ = 16cm, /YZ/ = 20cm and /ZX/ = 12cm. Calculate /VX/

Diagram coming 

A:

3cm

B:

4cm

C:

6cm

D:

8cm

E:

No option

View Solution

31:

Tom will be 25 years old in n years time. If he is 5 years younger than Bade, find Bade's present age.

A:

(30 - n) years

B:

(20 - n) years

C:

(25 - n) years

D:

(30 + n) years

E:

No option

View Solution

32:

If   frac{sqrt{2} + sqrt{3}}{sqrt{3}} is simplified as m + n sqrt{6}, find the value of (m + n)

A:

frac{1}{3}

B:

frac{2}{3}

C:

1frac{1}{3}

D:

1frac{2}{3}

E:

No option

View Solution

33:

In the diagram, QT and PR are straight lines, <ROS = (3n - 20o). <POT = 2m, <SOT = n, <POL = m and <QOL is a right angle. Find the value of n.

A:

35o

B:

40o

C:

55o

D:

60o

E:

No option

View Solution

34:

Make k the subject of the relation  T = sqrt{frac{Tk - H}{k - H}}

A:

k = frac{H(T^{2} - 1)}{T^{2} - T}

B:

k = frac{HT}{(T - 1)^{2}}

C:

k = frac{H(T - 1)}{T}

D:

k = frac{H(T^{2} + 1)}{T}

E:

No option

View Solution

35:

Which of the following is used to determine the mode of a grouped data

A:

Bar chart

B:

Frequency polygon

C:

Ogive

D:

Histogram

E:

No option

View Solution

36:

The area of a rhombus is 110cm2. If the diagonals are 20cm and (2x + 1)cm long, find the value of x.

A:

5.0

B:

4.0

C:

3.0

D:

2.5

E:

No option

View Solution

37:

Simplify: frac{3x - y}{xy} - frac{2x + 3y}{2xy} + frac{1}{2}

A:

frac{4x + 5y - xy}{2xy}

B:

frac{5x - 4x + xy}{2xy}

C:

frac{5x + 4x - xy}{2xy}

D:

frac{4x - 5y + xy}{2xy}

E:

No option

View Solution

38:

Illustrate graphically, the solution of  frac{y}{2} + frac{1}{8} > frac{5y}{8}

A:

coming

B:

coming

C:

coming

D:

coming

E:

No option

View Solution

39:

A farmer uses frac{2}{5} of his land to grow cassava, frac{1}{3} of the remainder for yam and the rest for maize. Find the part of the land used for maize

A:

frac{2}{15}

B:

frac{2}{5}

C:

frac{2}{3}

D:

frac{4}{5}

E:

No option

View Solution

40:

The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 liters of petrol is consumed on a distance of 15km, how far would the vehicle go on 9 liters of petrol?

A:

221/km

B:

30 km

C:

333/km

D:

45 km

E:

No option

View Solution

41:

A trader bought 100 oranges at 5 for #40.00 and sold them at 20 for #120.00. Find the profit or loss percent

A:

20% profit

B:

20% loss

C:

25% profit

D:

25% loss

E:

No option

View Solution

42:

Describe the shaded portion in the diagram.

A:

P'cap Qcap R'

B:

(Pcap R)'cap Q

C:

P'cap Qcap R

D:

left ( Pcup Q right )' cap R

E:

No option

View Solution

43:

Find the value of p if 1/4p + 3q = 10 and 2p - 1/3q = 7

A:

4

B:

3

C:

-3

D:

-4

E:

No option

View Solution

44:

Calculate the mean deviation of 5,3,0,7,2,1

A:

0.0

B:

2.0

C:

2.5

D:

3.0

E:

No option

View Solution

45:

In the diagram, the shaded part is a carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find the area of the margin.

A:

4.7 m2

B:

4.9 m2

C:

5.7 m2

D:

5.9 m2

E:

No option

View Solution

46:

Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles.

A:

72o

B:

100o

C:

120o

D:

144o

E:

No option

View Solution

47:

A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS? 

A:

frac{9}{13}

B:

frac{11}{26}

C:

frac{4}{13}

D:

frac{1}{26}

E:

No option

View Solution

48:

In a circle radius r cm, a chord 16sqrt{3} cm long is 10 cm from the center of the circle. Find, correct to the nearest cm, the value of r

A:

22cm

B:

17cm

C:

16cm

D:

15cm

E:

No option

View Solution

49:

Consider the following statements:

X: Locally manufactured tyres are attractive.

Y: Many locally manufactured tyres do not last long.

Denoting locally manufactured tyres by M, attractive tyres by R and long lasting tyres by L, which of these Venn diagrams illustrates the statemtent?

A:

coming

B:

coming

C:

coming

D:

coming

E:

No option

View Solution

50:

In the diagram, OX bisects <YXZ and OZ bisects <YZX. If <XYZ = 68o, calculate the value of <XOZ.

A:

68o

B:

72o

C:

112o

D:

124o

E:

No option

View Solution