Question 1

Simplify: 10⅖ − 6⅔ + 3.

Accepted Answer

B. 6 11/15

Answer

A. 6 4/15

Answer

C. 7 4/15

Answer

D. 7 11/15

Question 2

If 23_x = 32_5, find the value of x. (base of first number is x)

Accepted Answer

A. 7

Answer

B. 6

Answer

C. 5

Answer

D. 4

Question 3

The volume of a cube is 512cm³. Find the length of its side.

Accepted Answer

C. 8cm

Answer

A. 6cm

Answer

B. 7cm

Answer

D. 9cm

Question 4

The bar chart shows the scores of some students in a test. How many students took the test?

Accepted Answer

C. 20

Answer

A. 18

Answer

B. 19

Answer

D. 22

Question 5

Using the same bar chart, if one student is selected at random, find the probability that he/she scored at most 2 marks.

Accepted Answer

B. 11/20

Answer

A. 11/18

Answer

C. 7/22

Answer

D. 5/19

Question 6

Simplify: √12(√48−√3).

Accepted Answer

A. 18

Answer

B. 16

Answer

C. 14

Answer

D. 12

Question 7

Which of the following number lines represents the solution to the inequality: −9 ≤ (2/3)x − 7 < 5?

Accepted Answer

D. Number line D

Answer

A. Number line A

Answer

B. Number line B

Answer

C. Number line C

Question 8

In the diagram, the value of x°+y°=220°. Find the value of n°.

Accepted Answer

B. 40°

Answer

A. 20°

Answer

C. 60°

Answer

D. 80°

Question 9

Given that x>y and 33 II. x<3 III. x>y>3

Accepted Answer

C. I and III only

Answer

A. I only

Answer

B. I and II only

Answer

D. I, II and III

Question 10

Three quarter of a number added to two and a half of that number gives 13. Find the number.

Accepted Answer

A. 4

Answer

B. 5

Answer

C. 6

Answer

D. 7

Question 11

If X={0,2,4,6} and Z={1,3} are subsets of U={x:0≤x≤6}, and Y={1,2,3,4}. Find X∩(Y′∪Z).

Accepted Answer

C. {0,6}

Answer

A. {0,2,6}

Answer

B. {1,3}

Answer

D. { }

Question 12

Find the truth set of the equation x² = 3(2x+9).

Accepted Answer

D. {x:x=−3,x=9}

Answer

A. {x:x=3,x=−9}

Answer

B. {x:x=−3,x=−9}

Answer

C. {x:x=3,x=9}

Question 13

The coordinates of points P and Q are (4,3) and (2,−1) respectively. Find the shortest distance between P and Q.

Accepted Answer

D. 2√5

Answer

A. 10√2

Answer

B. 4√5

Answer

C. 5√2

Question 14

Make u the subject of the formula, E = (m/2g)(v²−u²).

Accepted Answer

A. u=√(v²−2Eg/m)

Answer

B. u=√(v²−2Eg/(4))

Answer

C. u=√(v−2Eg/m)

Answer

D. u=√(2v²Eg/m)

Question 15

In the diagram, ∠QPT=∠PTS=90°, ∠PQR=110° and ∠TSR=20°. Find the size of the obtuse angle QRS.

Accepted Answer

B. 130°

Answer

A. 140°

Answer

C. 120°

Answer

D. 110°

Question 16

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

Accepted Answer

B. x∝1/z

Answer

A. x∝z

Answer

C. x∝z²

Answer

D. x∝1/z²

Question 17

Find the gradient of the line joining the points (2,−3) and (2,5).

Accepted Answer

D. undefined

Answer

A. 0

Answer

B. 1

Answer

C. 2

Question 18

If (x−a) is a factor of bx−ax+x²−ab, find the other factor.

Accepted Answer

A. (x+b)

Answer

B. (x−b)

Answer

C. (a+b)

Answer

D. (a−b)

Question 19

The table shows the distribution of the height of plants in a nursery (Height: 2,3,4,5,6; Frequency: 2,4,5,3,1). Calculate the mean height of the plants.

Accepted Answer

A. 3.8

Answer

B. 3.0

Answer

C. 2.8

Answer

D. 2.3

Question 20

In the diagram, PQR is a straight line, (m°+n°)=120° and (n+r)°=100°. Find (m+r)°.

Accepted Answer

C. 140°

Answer

A. 110°

Answer

B. 120°

Answer

D. 160°

Question 21

In the diagram, line |SR| is parallel to line |UW|, ∠WVT=x°, ∠VUT=y°, ∠RSV=45° and ∠VTU=20°. Find the value of x°.

Accepted Answer

B. 45

Answer

A. 20

Answer

C. 65

Answer

D. 135

Question 22

Using the same diagram, calculate the value of y°.

Accepted Answer

C. 45°

Answer

A. 20°

Answer

B. 25°

Answer

D. 65°

Question 23

The area of a sector of a circle with diameter 12cm is 66cm². If the sector is folded to form a cone, calculate the radius of the base of the cone. [Take π=22/7]

Accepted Answer

B. 3.5cm

Answer

A. 3.0cm

Answer

C. 7.0cm

Answer

D. 7.5cm

Question 24

A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle.

Accepted Answer

B. 1.2cm

Answer

A. 0.7cm

Answer

C. 2.0cm

Answer

D. 2.5cm

Question 25

Which of the following is a measure of dispersion?

Accepted Answer

A. Range

Answer

B. Percentile

Answer

C. Median

Answer

D. Quartile

Question 26

A box contains 13 currency notes, all of which are either #50 or #20 notes. The total value of the currency notes is #530. How many #50 notes are in the box?

Accepted Answer

D. 9

Answer

A. 4

Answer

B. 6

Answer

C. 8

Question 27

The graph below is for the relation y=2x²+x−1. From the graph, what are the coordinates of the point S?

Accepted Answer

C. (1,2.0)

Answer

A. (1,0.2)

Answer

B. (1,0.4)

Answer

D. (1,4.0)

Question 28

Using the same graph, find the minimum value of y.

Accepted Answer

C. −1.25

Answer

A. 0.00

Answer

B. −0.65

Answer

D. −2.10

Question 29

A ship sails x km due east to a point E and continues x km due north to a point F. Find the bearing of F from the starting point.

Accepted Answer

A. 045°

Answer

B. 090°

Answer

C. 135°

Answer

D. 225°

Question 30

If x:y=3:2 and y:z=5:4, find the value of x in the ratio x:y:z.

Accepted Answer

C. 15

Answer

A. 8

Answer

B. 10

Answer

D. 20

Question 31

A trader bought sachet water for GH¢55.00 per dozen and sold them at 10 for GH¢50.00. Calculate, correct to 2 decimal places, his percentage gain.

Accepted Answer

C. 9.09%

Answer

A. 8.00%

Answer

B. 8.30%

Answer

D. 10.00%

Question 32

In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ. If ∠TRQ=x°, find ∠URT in terms of x°.

Accepted Answer

D. (180−2x)°

Answer

A. 2x°

Answer

B. (90−x)°

Answer

C. (90+x)°

Question 33

Given that cos x = 12/13, evaluate (1−tan x)/tan x.

Accepted Answer

C. 7/5

Answer

A. 5/13

Answer

B. 5/7

Answer

D. 13/5

Question 34

Approximate 0.0033780 to 3 significant figures.

Accepted Answer

C. 0.00338

Answer

A. 338

Answer

B. 0.338

Answer

D. 0.003

Question 35

Simplify: √((8²×4^(n+1))/(2^(2n)×16)).

Accepted Answer

C. 4

Answer

A. 16

Answer

B. 8

Answer

D. 1

Question 36

If 2/(x−3) − 3/(x−2) is equal to P/((x−3)(x−2)), find P.

Accepted Answer

D. 5−x

Answer

A. −x−5

Answer

B. −(x+3)

Answer

C. 5x−13

Question 37

Subtract ½(a−b−c) from the sum of ⅓(a−b+c) and ½(a+b−c).

Accepted Answer

A. ½(a+b+c)

Answer

B. ½(a−b+c)

Answer

C. ½(a−b+c)

Answer

D. ½(a+b−c)

Question 38

A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

Accepted Answer

C. 27°

Answer

A. 33°

Answer

B. 32°

Answer

D. 26°

Question 39

A chord subtends an angle of 120° at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord. [Take π=22/7]

Accepted Answer

A. 14⅓cm

Answer

B. 12⅚cm

Answer

C. 8⅓cm

Answer

D. 7⅓cm

Question 40

In parallelogram PQRS, line QR is produced to M such that |QR|=|RM|. What fraction of the area of PQMS is the area of PRMS?

Accepted Answer

C. 2/3

Answer

A. 1/4

Answer

B. 1/3

Answer

D. 3/4

Question 41

Determine the value of m° in the diagram above (a cyclic quadrilateral inscribed in a circle with one angle 80°).

Accepted Answer

C. 110°

Answer

A. 80°

Answer

B. 90°

Answer

D. 150°

Question 42

In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?

Accepted Answer

C. 65%

Answer

A. 15%

Answer

B. 35%

Answer

D. 85%

Question 43

If a number is selected at random from each of the sets P={1,2,3} and Q={2,3,4,5}, find the probability that the sum of the numbers is prime.

Accepted Answer

B. 4/9

Answer

A. 5/9

Answer

C. 1/3

Answer

D. 2/9

Question 44

In the diagram, O is the centre of the circle, line PR is a tangent to the circle at Q and ∠SOQ=86°. Calculate the value of ∠SQR°.

Accepted Answer

A. 43°

Answer

B. 47°

Answer

C. 54°

Answer

D. 86°

Question 45

If log 5.957=0.7750, find log∛0.0005957.

Accepted Answer

B. 2̄.9250

Answer

A. 4.1986

Answer

C. 1.5917

Answer

D. 1̄.2853

Question 46

The probability of an event P happening is 1/5 and that of event Q is 1/4. If the events are independent, what is the probability that neither of them happens?

Accepted Answer

C. 3/5

Answer

A. 4/5

Answer

B. 3/4

Answer

D. 1/20

Question 47

Each exterior angle of a polygon is 30°. Calculate the sum of the interior angles.

Accepted Answer

D. 1800°

Answer

A. 540°

Answer

B. 720°

Answer

C. 1080°

Question 48

Find the number of terms in the Arithmetic Progression (A.P) 2, −9, −20, …, −141.

Accepted Answer

D. 14

Answer

A. 11

Answer

B. 12

Answer

C. 13

Question 49

In what modulus is it true that 9+8=5?

Accepted Answer

C. mod 12

Answer

A. mod 10

Answer

B. mod 11

Answer

D. mod 13

Question 50

The radii of the bases of two cylindrical tins, P and Q are r and 2r respectively. If the water level in P is 10cm high, what would be the height of the same quantity of water in Q?

Accepted Answer

A. 2.5cm

Answer

B. 5.0cm

Answer

C. 7.5cm

Answer

D. 20.0cm

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