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.

1,386.

PQRS is a trapezium. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate, correct to the nearest cm2, the area of the trapezium (h = 3.35cm2 )

A.

27cm2

B.

30cm2

C.

36cm2

D.

37cm2

Correct answer is A

Area = \(\frac{1}{2}(a + b)\)h

where a = QR = 6cm

b = PA = 10cm

Area = \(\frac{1}{2}(6 + 10)\) x 3.35cm2

= \(\frac{1}{2}(16)\) x 3.35cm2

= 26.8cm2

= 27cm2 (approx.)

1,387.

PQRS is a trapezuim. QR//PS, /PQ/ = 5cm, /OR/ = 6cm, /PS/ = 10cm and angle QPS = 42o. Calculate the perpendicular distance between the parallel sides

A.

3.35cm

B.

3.73cm

C.

4.50cm

D.

4.62cm

Correct answer is A

h = ?

\(\frac{h}{5cm}\) = sin 45o

h = 5cm x 0.6691 = 3.35cm

1,388.

The following is the graph of a quadratic friction, find the value of x when y = 0

A.

1, 2

B.

1, 4

C.

2, 3

D.

1, 6

Correct answer is B

when y = 0, value of x = roots of the equation

x2 - 5x + 4 = 0

x = 1, 4 (see graph)

1,389.

The following is the graph of a quadratic friction, find the co-ordinates of point P

A.

(0, 4)

B.

(4, 0)

C.

(0, -4)

D.

(-4, 0)

Correct answer is A

No explanation has been provided for this answer.

1,390.

Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3

A.

2x2 - 2x + 3 = 0

B.

2x2 - 2x - 3 = 0

C.

2x2 - 5x - 3 = 0

D.

3x2 - 5x - 3 = 0

Correct answer is C

x = \(\frac{-1}{2}\)

x = 3

2x = -1, x = 3; 2x + 1 = 0

x - 3 = 0

(2x + 1)(x - 3) = 0

2x2 - 6x + x - 3 = 0

2x2 - 5x - 3 = 0