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.
A solid cylinder of radius 7cm is 10 cm long. Find its total surface area.
\(70\pi cm^2\)
\(189\pi cm^2\)
\(210\pi cm^2\)
\(238\pi cm^2\)
Correct answer is D
S = \(2\pi r^2 + 2\pi rh\)
= \(2\pi r(r + h)\)
= \(2\pi (7) (7 + 10)\)
= \(238\pi cm^2\)
28cm2
42cm2
70cm2
84cm2
Correct answer is B
Volume of prism = Area x height
In \(\Delta\) RQP, QR\(^2\) + QP\(^2\) = RP\(^2\)
3\(^2\) + QP\(^2\) = 5\(^2\)
QP\(^2} = 5\(^2\) - 3\(^2\)
QP = \(\sqrt{16}\)
= 4 cm
\(\therefore\) Area = \(\frac{1}{2} \times base \times height\)
= \(\frac{1}{2} \times 3 \times 4\)
= 6 cm\(^2\)
Volume = 6 x 7
= 42 cm\(^3\)
4cm2
6cm2
15cm2
20cm2
Correct answer is B
In \(\Delta\) RQP, QR\(^2\) + QP\(^2\) = RP\(^2\)
3\(^2\) + QP\(^2\) = 5\(^2\)
QP\(^2} = 5\(^2\) - 3\(^2\)
QP = \(\sqrt{16}\)
= 4 cm
\(\therefore\) Area = \(\frac{1}{2} \times base \times height\)
= \(\frac{1}{2} \times 3 \times 4\)
= 6 cm\(^2\)
3cm2
6cm2
14cm2
24cm2
Correct answer is C
\(\frac{LM}{LP} = \frac{3}{4}\)
\(\frac{Area of LMN}{Area of LPQ} = \frac{3^2}{4^2}\)
Area of LPQ = \(\frac{16}{9}\times 18 = 32 cm^2\)
Area of quadrilateral MPQN = 32 – 18 = \(14 cm^2\)
47cm
61cm
88cm
231cm
Correct answer is B
Perimeter of the sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(14) + \frac{135}{360} \times 2 \times \frac{22}{7} \times 14\)
= \(28 + 33\)
= 61 cm