2012 WAEC (WASSCE) Mathematics Past Questions & Answers

Question 1

Express 302.10495 correct to five significant figures

Accepted Answer

A. 302.10

Answer

B. 302.11

Answer

C. 302.105

Answer

D. 302.1049

Question 2

A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area

Accepted Answer

D. 96cm2

Answer

A. 20cm2

Answer

B. 24cm2

Answer

C. 48cm2

Question 3

Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?

Accepted Answer

A. 25m/s

Answer

B. 150m/s

Answer

C. 250m/s

Answer

D. 500m/s

Question 4

The diagram is a polygon. Find the largest of its interior angles

Accepted Answer

B. 100o

Answer

A. 300o

Answer

C. 120o

Answer

D. 150o

Question 5

Solve ($\frac{27}{125}$)-$\frac{1}{3}$ x ($\frac{4}{9}$)$\frac{1}{2}$

Accepted Answer

A. $\frac{10}{9}$

Answer

B. $\frac{9}{10}$

Answer

C. $\frac{2}{5}$

Answer

D. $\frac{12}{125}$

Question 6

Solve the inequality: $\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}$

Accepted Answer

C. m $\leq - \frac{1}{11}$

Answer

A. m $\leq \frac{5}{4}$

Answer

B. m $\geq \frac{5}{4}$

Answer

D. m $\geq - \frac{1}{11}$

Question 7

The bar chart shows the frequency distribution of marks scored by students in a class test. How many students are in the class?

Accepted Answer

D. 30

Answer

A. 10

Answer

B. 24

Answer

C. 25

Question 8

If p = {prime factors of 210} and Q = {prime less than 10}, find p $\cap$ Q

Accepted Answer

D. {2,3,5,7}

Answer

A. {1,2, 3}

Answer

B. {2, 3, 5}

Answer

C. {1, 3, 5,7}

Question 9

Simplify: $\frac{54k^2 - 6}{3k + 1}$

Accepted Answer

C. 6(3k - 1)

Answer

A. 6(1 - 3k2)

Answer

B. 6(3k2 - 1)

Answer

D. 6(1 - 3k)

Question 10

If x + y = 2y - x + 1 = 5, find the value of x

Accepted Answer

B. 2

Answer

A. 3

Answer

C. 1

Answer

D. -1

Question 11

Express 3 - [$\frac{x - y}{y}$] as a single fraction

Accepted Answer

C. $\frac{4y - x}{y}$

Answer

A. $\frac{3xy}{y}$

Answer

B. $\frac{x - 4y}{y}$

Answer

D. 3 - $\frac{x - y}{y}$

Question 12

In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y

Accepted Answer

B. 15:17

Answer

A. 50:11

Answer

C. 13:55

Answer

D. 12:11

Question 13

The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?

Accepted Answer

A. 2

Answer

B. 4

Answer

C. 6

Answer

D. 8

Question 14

Which of these statements about y = $\sqrt{8m}$ is correct?

Accepted Answer

D. log y = $\frac{3}{2}$ log 2 + $\frac{1}{2}$ log m

Answer

A. log y = log 8 x log $\sqrt{m}$

Answer

B. log y = 3 log 2 x $\frac{1}{2}$ log m

Answer

C. log y = 3 log 2 - $\frac{1}{2}$ log m

Question 15

If x + 0.4y = 3 and y = $\frac{1}{2}$x, find the value of (x + y)

Accepted Answer

C. 3$\frac{3}{4}$

Answer

A. 1$\frac{1}{4}$

Answer

B. 2$\frac{1}{2}$

Answer

D. 5

Question 16

Factorise completely: 32x2y - 48x3y3

Accepted Answer

A. 16x2y(2 - 3xy2)

Answer

B. 8xy(4x - 6x2y2)

Answer

C. 8x2y(4 - 6xy2)

Answer

D. 16xy(2x - 3x2y2)

Question 17

If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged

Accepted Answer

D. 10%

Answer

A. 5%

Answer

B. 7$\frac{1}{2}$%

Answer

C. 8%

Question 18

The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take $\pi = \frac{22}{7}$]`

Accepted Answer

A. 14cm

Answer

B. 9cm

Answer

C. 8cm

Answer

D. 7cm

Question 19

The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? What is the gradient of y = 2x2 - 5x - 3 at the point x = 4?

Accepted Answer

C. 10.3

Answer

A. 11.1

Answer

B. 10.5

Answer

D. 9.9

Question 20

The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area

Accepted Answer

B. 90cm2

Answer

A. 108cm2

Answer

C. 80cm2

Answer

D. 72cm2

Question 21

Find the coefficient of m in the expression of ($\frac{m}{2} - 1 \frac{1}{2}$) (m + $\frac{2}{3}$)

Accepted Answer

D. -1$\frac{1}{6}$

Answer

A. -$\frac{1}{6}$

Answer

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

Answer

C. -1

Question 22

The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6

Accepted Answer

C. -16

Answer

A. 30

Answer

B. 16

Answer

D. -30

Question 23

Alfred spent $\frac{1}{4}$ of his money on food, $\frac{1}{3}$ on clothing and save the rest. If he saved N72000.00, how much did he spend on food?

Accepted Answer

A. N43,200.00

Answer

B. N43,000.00

Answer

C. N42,200.00

Answer

D. N40,000.00

Question 24

The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation

Accepted Answer

D. 5n - 33 = 0

Answer

A. 12n - 6 = 0

Answer

B. 3n - 12 = 0

Answer

C. 2n - 35 = 0

Question 25

The diagram is a circle of radius |QR| = 4cm. $\bar{R}$ is a tangent to the circle at R. If TPO = 120o, find |PQ|.

Accepted Answer

C. 0.62cm

Answer

A. 2.32cm

Answer

B. 1.84cm

Answer

D. 0.26cm

Question 26

The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector

Accepted Answer

B. 252o

Answer

A. 360o

Answer

C. 246o

Answer

D. 234o

Question 27

If cos(x + 40)o = 0.0872, what is the value of x?

Accepted Answer

D. 45o

Answer

A. 85o

Answer

B. 75o

Answer

C. 65o

Question 28

The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n

Accepted Answer

D. m = n + 2

Answer

A. m = $\frac{n}{2}$

Answer

B. m = 2n

Answer

C. m = n - 2

Question 29

The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.

Accepted Answer

C. 2.4

Answer

A. 6.0

Answer

B. 3.0

Answer

D. 1.8

Question 30

A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours

Accepted Answer

A. $\frac{8}{15}$

Answer

B. $\frac{13}{25}$

Answer

C. $\frac{11}{15}$

Answer

D. $\frac{13}{15}$

Question 31

A kite flies on a taut string of length 50m inclined at tan angle 54o to the horizontal ground. The height of the kite above the ground is

Accepted Answer

B. 50 sin 54o

Answer

A. 50 tan 30o

Answer

C. 50 tan 54o

Answer

D. 50 sin 36o

Question 32

Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores

Accepted Answer

C. 5

Answer

A. $\sqrt{10}$

Answer

B. 4

Answer

D. $\sqrt{30}$

Question 33

The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?

Accepted Answer

B. 12

Answer

A. 16

Answer

C. 10

Answer

D. 8

Question 34

Is the diagram, MN, PQ and RS are three intersecting straight lines. Which of the following statements is/are true? i. t = y ii. x + y + z + m = 180o iii. x + m + n = 180o iv. x + n = m + z

Accepted Answer

D. iv

Answer

A. i and iv

Answer

B. ii

Answer

C. iii

Question 35

Solve for x in the equation; $\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}$

Accepted Answer

A. 5

Answer

B. 4

Answer

C. 3

Answer

D. 1

Question 36

In $\bigtriangleup$ XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?

Accepted Answer

D. /YZ/2 = /XZ/2 + /XY/2

Answer

A. /XY/ + /YZ/ = /XZ/

Answer

B. /XY/ - /YZ/ = /XZ/

Answer

C. /XY/2 = /Y/2 - /XY/2

Question 37

Convert 3510 to number in base 2

Accepted Answer

C. 100011

Answer

A. 1011

Answer

B. 10011

Answer

D. 11001

Question 38

Simplify; $\frac{3\sqrt{5} 	imes 4\sqrt{6}}{2 \sqrt{3} 	imes 3\sqrt{2}}$

Accepted Answer

D. 2$\sqrt{5}$

Answer

A. $\sqrt{2}$

Answer

B. $\sqrt{5}$

Answer

C. 2$\sqrt{2}$

Question 39

If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?

Accepted Answer

B. y = $\frac{k}{x}$

Answer

A. y = kx

Answer

C. y = k$\sqrt{x}$

Answer

D. y = x + k

Question 40

The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS

Answer

A. 144o

Answer

B. 72o

Answer

C. 40o

Answer

D. 36o

Question 41

Make p the subject of the relation: q = $\frac{3p}{r} + \frac{s}{2}$

Accepted Answer

D. p = $\frac{2qr - rs}{6}$

Answer

A. p = $\frac{2q - rs}{6}$

Answer

B. p = 2qr - sr - 3

Answer

C. p = $\frac{2qr - s}{6}$

Question 42

The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? For what value of x will y be negative?

Accepted Answer

C. -$\frac{1}{2} < x < 3$

Answer

A. -$\frac{1}{2} \leq x$ < 3

Answer

B. -$\frac{1}{2} < x \leq 3$

Answer

D. -$\frac{1}{2} \leq x \leq 3$

2012 WAEC (WASSCE) Mathematics Past Questions

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