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.

2,851.

The four interior angles of a quadrilateral are (x + 20) o, (x+ 10) o (2x - 45) o and (x - 25) o. Find the value of x

A.

60

B.

80

C.

100

D.

360

Correct answer is B

Sum of interior angles in a quadrilateral is 360
(x + 20)o + (x+ 10)o + (2x - 45)o + (x - 25)o = 360o
5xo - 40o = 360o
x = 400/5 = 80o

2,852.

What is the size of angle x in the diagram

A.

15o

B.

30o

C.

45o

D.

60o

Correct answer is B

\(Sin\theta^{\circ} = \frac{opp}{hyp}\\
Sin X^{\circ}=\frac{5}{10}=0.5000\\SinX^{\circ}\\
X^{\circ} = sin^{-1}0.5000\\
X^{\circ}=30^{\circ}\)

2,853.

A ladder, 6m long, leans against a vertical wall at an angle 53o to the horizontal. How high up the wall does the ladder reach?

A.

3.611m

B.

4.521m

C.

4.792m

D.

7.962m

Correct answer is C

Sin 53 = \(\frac {h}{6} \)
h = 6 sin 53 = 6 x 0.7986
= 4.792m

2,854.

Given, that \(4P4_5 = 119_{10}\), find the value of P

A.

1

B.

2

C.

3

D.

4

Correct answer is C

\(4P4_5 = 119_{10}\)

\(4 \times 5^2 + P \times 5^1 + 4 \times 5^0 = 119\)

\(100 + 5P + 4 = 119\)

\(5P = 119 - 104 = 15\)

\(P = 3\)

2,855.

In\( ∆ PQR, P\hat{Q}P = 84^°, |Q\hat{P}R |= 43^°\) and |PQ| = 5cm. Find /QR/ in cm, correct to 1 decimal place.

A.

3.4

B.

4.3

C.

5.9

D.

6.2

Correct answer is B

Using the sine rule
\(\frac{|QR|}{sinP}=\frac{|PQ|}{sinR}\\
\frac{x}{sin43^o}=\frac{5}{sin53^o}\\
x = \frac{5\times sin43^o}{sin53^o}\\
=\frac{5\times 0.6820}{0.7986}\\
=4.3\)