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These Mathematics questions and answers were pulled from our book (Mathematics questions for SS 1); Compiled to serve as a reference material to help teachers draw up test and exam questions faster. It could also help students assess their level of exam preparation. Each sample question includes correct answers.

Note that Questions are based on the NERDC curriculum (UBE compliant)

Sample Mathematics Exam Questions and Answers

TOPIC: ALGEBRAIC PROCESSES
DIRECTION: Choose the correct answer from the lettered options.

1. A student travelled for x hours at 5km/hr and for y hours at 10km/hr. The journey was 35km altogether, which of the following equations represent the given information if the average speed for the journey was 7km/hr?
A. x + y = 5; 5x + 10y = 35
B. x + y = 7; 5x + 10y = 35
C. 5x + 10y = 7; x + y = 35
D. 5x + 10y = 5; x + y = 35

See the Answer

The correct answer is A.

Solution:
Let the number of hours be x and y => time for the journey
= Distance/Average speed = 35/7 hours;
x + y = 5 —– [i];
5x + 10y = 35 —- [ii]

2. Solve the equation 2a2 – 3a – 27 = 0.
A. 3/2, 9
B. – 3/2, 9
C. 3, 9/2
D. – 3, 9/2

See the Answer

The correct answer is D.

Solution:
Two factors with product -54 and sum -3 are: -9 and +6.
( 2a2 – 9a + 6a – 27) = 0 ( 2a (a + 3) – 9 (a + 3)
= (a + 3)(2a – 9) = 0.
(a + 3 = 0 ( a = -3 or 2a – 9 = 0 => a = 9/2

3. Factorize x2 + 2a + ax + 2x.
A. (x + 2a)(x + 1)
B. (x + 2a)(x – 1)
C. (x2 – 1)(x – a)
D. (x + 2)(x + a)

See the Answer

The correct answer is D.

Solution:
It can be rewritten as: x2 + ax + 2a + 2x = (x + 2)( x + a)

4. A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.
A. 3hrs;3hrs
B. 2hrs;3hrs
C. 4hrs;1hr
D. 3hrs;2hrs

See the Answer

The correct answer is B.

Solution:
m + n = 5 —- [i];
12m + 18n = 78 —- [ii] make m subject from equation [i] and substitute into equation [ii] m = 5 – n —- [iii] 12[5 – n] + 18n = 78
60 – 12n + 18n = 78
6n = 18;
n = 3hours
m = 5 – n = 5 – 3 = 2hours
The answer = 2hours;3hours.

Click here to get the complete Mathematics questions for SS 1

5. Solve the equation 3x + 4y = 5 and 7x + 2y = 8.
A. x = 21/2; y = 4
B. x = 41/3; y = 31/2
C. x = 21/4; y = 31/5
D. x = 1; y = 1/2

See the Answer

The correct answer is D.

Solution:
3x + 4y = 5 ® [i], 7x + 2y = 8 ® [ii].
Multiply equation [i] by 7 and equation [ii] by 3 gives 21x + 28y = 35 ® [iii], 21x + 6y = 24 ® [iv].
Subtract equation [iv] from equation [iii], therefore, y = 11/22 = 1/2.
Substitute the value of y in equation [i] then x = 1.

TOPIC: MENSURATION

1. The lengths, in cm, of the sides of a right-angled triangle are x, (x + 2) and (x + 1) where x > 0. Find, in cm, the length of its hypotenuse.
A. 4
B. 5
C. 13
D. 17

See the Answer

The correct answer is B.

2. Water flows through a 3cm diameter pipe at the rate of 3 metres/second. How many water flow through the pipe in one second and express the flow of water as a rate in litres/minute?
A. 3.5 x 10-2L/minutes
B. 35350L/minutes
C. 127.26L/minutes
D. 1272.6L/minutes

See the Answer

The correct answer is C.

Solution:
1000cm3 = 1 litre; 60 secs = 1 minutes → 1 secs = 1/60minutes;
2121/1000L/s → 2121/1000 ÷1/60; 2121/1000 × 60/1 = 127.26L/minutes.

3. Abidjan is 4o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370 km, how far is Abidjan west of Accra, correct to the nearest kilometer? (Take π = 22/7).
A. 222km
B. 445km
C. 890km
D. 5 005km

See the Answer

The correct answer is B.

Solution:
Longitudinal difference between Abidjan and Accra is 4°.
Note here that r (given as 6370km) = Rcos?
The circumference of this circle of latitude is
2pr = 2 x (22/7) x 6370 = 40 040km
Length of the arc of Abidjan from Accra
= q/360 x 2 π r = (4/360) x 40040
= 444.89km = 445km (correct to the nearest km)

4. A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radius 14cm, what will be the height of the water column?
A. 3.5cm
B. 14cm
C. 1.75cm
D. 5.3cm

See the Answer

The correct answer is A.

Solution:
Volume of cylinder = π × r2 × H =π× R2h,
Where r = 3.5cm, H = 56cm, R = 14cm, h =?
h = π × 3.52 × 56/π×142 = 3.5cm.

5. A rectangle has length x cm and width (x – 1) cm. If the perimeter is 16cm, find the value of x.
A. 3 1/2cm
B. 4cm
C. 5cm
D. 6cm

See the Answer

The correct answer is A.

Want more questions like this? Get the Complete Mathematics Exam Questions and Answers for SS 1, with even more questions and answers

Sample Mathematics Exam Questions and Answers

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