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.
15
50
70
25
Correct answer is C
His annual salary = N2000 His allowances = N600 So his taxable income = Annual salary − allowance = N2000 − N600 = N1400 He pay at 5% Then, his allowance income tax 5/100 × 1400 = N70
If x + y = 90 simplify \((sinx + siny)^2\)−2sinxsiny
1
0
2
-1
Correct answer is A
Given: \(x + y = 90° ... (1)\)
\((\sin x + \sin y)^{2} - 2\sin x \sin y = \sin^{2} x + \sin^{2} y + 2\sin x \sin y - 2\sin x \sin y\)
= \(\sin^{2} x + \sin^{2} y ... (2)\)
Recall: \(\sin x = \cos (90 - x) ... (a)\)
From (1), \(y = 90 - x ... (b)\)
Putting (a) and (b) in (2), we have
\(\sin^{2} x + \sin^{2} y \equiv \cos^{2} (90 - x) + \sin^{2} (90 - x)\)
= 1
Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)
17.8cm2
15.8cm2
75.4cm2
54.7cm2
\(377.0cm^{2}\)
Correct answer is E
The total surface area of a cylinder = 2πrl + 2πr2
= 2πr(l + r)
= 2 × 3.14 x 5(7+5)
2 × 3.14 × 12 x 5
= 377.1cm (1DP)
Simplify log101.5 + 3 log102 − log100.3
log104
log1040
log10-40
log104-
Correct answer is B
log101.5 + 3 log102 − log100.3
log101.5 + log1023 − log100.3
[log10(1.5 × 23) ÷ log100.3]
[log10(15/10 × 8 ) ÷ log10( 3/10)]
log10(15/10 × 8 × 10/3 )
log1040
Find the x and z intercepts of the graph of 3x - z \(\leq\) 9
(3, -9)
(-3, 9)
(-3, -9)
(-3, 0)
Correct answer is A
Starting from 3x − z \(\leq\) 9
x = 0, substitute the value of x (i.e. x = 0) into the equation 3x − z \(\leq\) 9
3(0) − z \(\leq\) 9
z \(\leq\) − 9
If z = 0
Then, 3x − 0 \(\leq\) 9
3x \(\leq\) 9
x \(\leq\) 3
Intercept of x and z i.e (x,z)
= (3, -9)