How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.
4
3
2
1
Correct answer is C
y = 2kx2 + x + 1
Gradient function dy/dx = 4kx + 1
at dy/dx = 9, => 9 = 4kx + 1
=> 8 = 4kx, and k = 8/4x.
At x = 1, k = 8/4 = 2
The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.
πr/6
πr/2
πr/12
πr/3
Correct answer is D
Since ST = the radius r, => SOT is equilateral.
Each angle = 60°
Length of arc ST = θ/360 x 2πr
= 60/360 x 2 x π x r = πr/3
Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.
y = 4 \(\pm\) k
y = k \(\pm\) 4
y = 4 + k
y = k - 4
Correct answer is A
No explanation has been provided for this answer.
23 m
25 m
20 m
22 m
Correct answer is C
Capacity = Volume = 3080m3
base diameter = 14m
radius = \(\frac{\text{diameter}}{2}\)
= 7m
Volume of Cylidner = Capacity of cylinder
πr2h = 3080
\(\frac{22}{7}\) × 7 × 7 × h = 3080
h = \(\frac{3080}{22 \times 7}\)
h = 20m
040°
070°
280°
320°
Correct answer is B
Hint: Simply make a sketch of the question and find the bearing to be 070°