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.

1,136.
1,137.

Factorize x2 + 9x + 20

A.

(x − 5) 2

B.

(x + 5)(x + 4)

C.

(x – 5)(x + 3)

D.

(x + 3) 2

Correct answer is B

\( x^2 + 9x + 20 \)

Find the two numbers whose product is 20 and its sum is 9}

\( 5x \times 4x = 20x^2\)


\(5x + 4x = 9x\)

\((x^2 + 5x) + (4x + 20)\)
\(

x(x + 5)+ 4(x + 5)

= (x + 5)(x + 4)\)

1,138.

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

A.

1 \( \frac{3}{8}\)

B.

2 \( \frac{3}{4}\)

C.

4 \( \frac{3}{8}\)

D.

3 \( \frac{1}{5}\)

Correct answer is C

1¼ ÷ [ 2 ÷ ¼] of 28

Apply BODMAS rules

\( \frac{5}{4}\) ÷ [ 2 ÷ ¼ × 28 ]

\( \frac{5}{4} ÷ \frac{2}{7} \)


\( \frac{5}{4} × \frac{7}{2} \)

\( \frac{35}{8}\)

= \(4 \frac{3}{8}\)

1,139.

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

A.

3%

B.

1.0%

C.

2.5%

D.

5.40%

Correct answer is B

Percentage birthrate = \(\frac{62}{6250} \times 100%\)

= \(\frac{6200}{6250}\)

= 0.992% \(\approx\) 1.0%.

1,140.

In the diagram, O is the centre of the circle of the circle, PR is a tangent to the circle at Q < SOQ = 86o. Calculate the value of < SQR.

A.

43o

B.

47o

C.

54o

D.

86o

Correct answer is A

Construction: draw a line from Q to point P and another line from S to point P.

< SOQ = 2< QPS (< at centre is twice < on the circumference)

< QPS \(\frac{86}{2} = 43\)

< SQR = < QPS ( < between a chord and tangent = < in the alternate segment)

< SQR = 43o