WorksheetsMathematics Examination Questions
Total questions: 25
Worksheet time: 15mins
A point moves so that it is equidistant from x = −4 and x = 5. Find the equation of its locus.
x = 1/2
x = 1
x = −1/2
x = −1
If the midpoint of (1,1) and (h,k) is (4,6), find h and k.
(11,7)
(10,6)
(9,5)
(8,4)
Find the equation of the line through the points (3,2) and (5,8).
y + 3x = 5
y − 3x = −6
y − 3x = −5
y + 3x = 6
If cos y = 2/7, find sin y + tan y.
9√7/14
9√10/14
9√11/14
9√13/14
A ladder of length 5 m leans against a wall. The angle between the ladder and the ground is 45°. How high up the wall does the ladder reach?
6 m
5 m
4 m
3 m
If y = 2sin(−3x), find dy/dx.
−6cos(−3x)
6cos(−3x)
2cos(−3x)
−3cos(−3x)
Find the minimum value of y = 7 + 4x + x².
3
−2
1
−1
If dy/dx = 2x − 3 and y = 2 when x = 0, find y in terms of x.
y = x² − 3x + 2
y = x² + 3x − 2
y = 2 + 3x − x²
y = 2 − 3x − x²
The mean of 5, 3, (x − 1) and 8 is 5. Find x.
6
5
4
3
Find the value of angle x in the given diagram.
35°
40°
45°
50°
Simplify (64/125)^(−1/3).
5/4
6/5
7/6
8/7
Evaluate 18 − 6 (Mod 7).
2 (Mod 5)
3 (Mod 5)
4 (Mod 5)
5 (Mod 7)
Suppose that (x − 2y)/(x − 3y) = 2, where y ≠ 0. Find the ratio x : y.
2 : 1
8 : 3
4 : 1
8 : 1
The length of the diagonals of a rhombus are 20 cm and 10 cm. Calculate the perimeter of the rhombus.
20√3
20√5
16√3
16√5
Two coins are tossed together. Find the probability of obtaining at least one head.
1
1/4
1/2
3/4
Change 0.777777… to a fraction.
7/9
5/9
3/9
7/10
A bricklayer measured the length of a wall as 4.09 m. If the true length is 4.24 m, find his percentage error correct to 3 significant figures.
3.70%
3.67%
3.69%
3.68%
If (2(1 − n))/(4 − 2n) = 1/4, find n.
−1/4
1/3
−2/3
−3/5
In the diagram, ∠GHF = ∠GEI. Determine the length of EI.
In the diagram of a circle, O is the centre. Find x.
75°
65°
45°
15°
What is the locus of points 4 cm from a fixed point?
A circle of radius 4 cm
A square of sides 4 cm
An equilateral triangle of sides 4 cm
A rhombus of sides 4 cm
Calculate the variance of 1, −1, −2, 3, 4.
4
3
2
1
Two coins are tossed together. Find the probability of obtaining at least one tail.
1
1/4
1/2
3/4
A bus covers the 480 km journey from Lagos to Lokoja at an average speed of 100 km/h. If it leaves Lagos at 08:35 am, when does it arrive?
1:53 pm
1:43 pm
1:23 pm
1:03 pm
A 50-litre solution of alcohol and water is 5% alcohol. If 1½ litres of alcohol and 8½ litres of water are added, what percentage of the new solution is alcohol?
5½%
6%
6⅓%
6⅔%
