Mathematics questions and answers

Mathematics Questions and Answers

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.

3,876.

A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.

A.

9.0 m

B.

12. 0 m

C.

8.8 m

D.

10.4 m

Correct answer is B

\(\tan 45 = \frac{x}{10.4}\) = 10.4m

\(height of the tree is equal to 1.6m + 10.4m=12m\)

3,877.

Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8

A.

(2, 0)

B.

(1, -2)

C.

(-1, -2)

D.

(1, 2)

Correct answer is B

2y = 4x - 8 \(\implies\) y = 2x - 4.

When x = 0, y = -4.

When y = 0, x = 2.

The midpoint between (0, -4) and (2, 0) = \((\frac{0 + 2}{2}, \frac{-4 + 0}{2})\)

= \((1, -2)\)

3,878.

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

A.

12

B.

20

C.

40

D.

10

Correct answer is A

The formula for the sum of the interior angles of a regular polygon = (2n - 4) x 90°

Given: Sum = 20 right angles

(2n - 4) x 90° = 20 \times 90°

⇒ 2n - 4 = 20

2n = 24; n = 12.

3,879.

A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.

A.

304π/3 cm3

B.

144π cm3

C.

128π cm3

D.

72π cm3

Correct answer is A

Volume of a frustrum with top of radius R and bottom r and height h = \(\frac{1}{3} \pi (R^{2} + Rr + r^{2})\)

V = \(\frac{1}{3} \pi \times 4 \times (6^2 + 6 \times 4 + 4^2)\)

= \(\frac{304}{3} \pi cm^{3}\)

3,880.

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7

A.

y = 3

B.

x = 3

C.

x = 4

D.

y = 4

Correct answer is C

The line equidistant from x = 1 and x = 7 is

\(x = \frac{1 + 7}{2} \implies x = 4\)