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.

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1,486.

How many pupils took the test?

View answer & explanation

Correct answer is D

No. of pupils = 1 + 3 + 4 + 7 + 8 + 6 + 6 + 4 + 1 = 40

1,487.

In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 72^o and < RST = 126^o. What type of triangle is \(\bigtriangleup\) PQT?

An equilateral triangle

A right-angled triangle

An isosceles triangle

A scalene triangle

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,488.

In the diagram, the two circles have a common centre O. If the area of the larger circle is 100\(\pi\) and that of the smaller circle is 49\(\pi\), find x

View answer & explanation

Correct answer is B

area of larger circle = 100\(\pi\)

\(\pi r^2 = 100\pi\)

R² = 100

R = 10(Radius)

Area of smaller circle = \(49 \pi\)

\(\pi r^2 = 49\pi\)

r² = 49

r = 7(radius)

Since R = x + r

x = R - r

x = 10 - 7 = 3

1,489.

In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110^o and the bearing of Q from P is 050^o. Find angle PQR.

60^o

70^o

120^o

160^o

View answer & explanation

Correct answer is C

Q₁ = 50(alternate angle)

Q₂ = 180^o - 110^o (straight line angle)

Q₂ = 70

PQR = Q₁ + Q₂

= 50^o + 70^o

= 120^o

1,490.

In the diagram P, Q, R, S are points on the circle RQS = 30^o. PRS = 50^o and PSQ = 20^o. What is the value of x^o + y^o?

260^o

130^o

100^o

80^o

View answer & explanation

Correct answer is B

Draw a line from P to Q

< PQS = < PRS (angle in the sam segment)

< PQS = 50^o

Also, < QSR = < QPR(angles in the segment)

< QPR = x^o

x + y + 5= = 180(angles in a triangle)

x + y = 180 - 50

x + y = 130^o