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Mathematics Past Questions

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48 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 1

jamb 1994

The grades A1, A2, A3, C4 and F earned by students in a particular course are shown in the pie chart. What percentage of the students obtained a C4 grade?

A52.0

B43.2

C40.0

D12.0

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Question 2

jamb 1994

The equation of the line in the graph is

A3y = 4x + 12

B3y = 3x + 12

C3y = -4x + 12

D3y = -4x + 9

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Question 3

jamb 1994

In the frustum of the cone, the top diameter is twice the bottom diameter. If the height of the frustum is h centimeters, find the height of the cone

A2h

B2\(\pi\)h

C\(\pi\)h

D\(\frac{\pi h}{2}\)

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Question 4

jamb 1994

In the diagram. Find h

A\(\frac{12}{7}\)cm

B\(\frac{12}{7} \sqrt{6}\)cm

C\(\frac{7}{12}\)cm

D\(\frac{1}{2}\)cm

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Question 5

jamb 1994

In the diagram, PTS is a tangent to the circle TQR at T. Calculate < RTS

A120^o

B70^o

C60^o

D40^o

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Question 6

jamb 1994

In the diagram, O is the centre of the circle. If SOQ is a diameter and < PRS is 38^o, what is the value of < PSQ

A148^o

B104^o

C80^o

D52^o

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Question 7

jamb 1994

In the diagram, PQRS is a parallelogram. Find the value of < SQR

A30^o

B50^o

C80^o

D100^o

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Question 8

jamb 1994

Find the inequality which represents the shaded portion in the diagram

A2x - y - 2 \(\geq\) 0

B2x - y - 2 \(\leq\) 0

C2x - y - 2 < 0

D2x - y - 2 > 0

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Question 9

jamb 1994

The equation of the graph is

Ay = (x - 3)³

By = (x + 3)³

Cy = x³ - 27

Dy = -x³ + 27

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Question 10

jamb 1994

In a survey, it was observed that 20 students read newspapers and 35 read novels. If 40 of the students read either newspapers or novels, what is the probability of the students who read both newspapers and novels?

A\(\frac{1}{2}\)

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

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

D\(\frac{3}{11}\)

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Question 11

jamb 1994

\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & 2 & 1 & 2 & 1 & 2\end{array}\)
Find the variance of the frequency distribution above

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

B\(\frac{9}{4}\)

C\(\frac{5}{2}\)

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Question 12

jamb 1994

Class interval	1 - 5	6 - 10	11 - 15	16 - 20	21 - 25
Frequency	6	15	20	7	2

Estimate the median of the frequency distribution above

A10\(\frac{1}{2}\)

B11\(\frac{1}{2}\)

C12

D13

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Question 13

jamb 1994

Find the mean deviation of the set of numbers 4, 5, 9

Azero

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Question 14

jamb 1994

\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & y + 2 & y - 1 & 2y - 3 & y + 4 & 3y - 4\end{array}\)
This table shows the frequency distribution of a data if the mean is \(\frac{43}{14}\), find y

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Question 15

jamb 1994

Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)

A3\(\frac{2}{3}\)

C4\(\frac{1}{3}\)

D4\(\frac{2}{3}\)

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Question 16

jamb 1994

Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient

A(1, 3)

B(2, 7)

C(0, 3)

D(3, 15)

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Question 17

jamb 1994

If y = 3t³ + 2t² - 7t + 3, find \(\frac{dy}{dt}\) at t = -1

A-1

C-2

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Question 18

jamb 1994

What is the value of sin(-690)?

A\(\frac{\sqrt{3}}{2}\)

B-\(\frac{\sqrt{3}}{2}\)

C\(\frac{-1}{2}\)

D\(\frac{1}{2}\)

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Question 19

jamb 1994

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

A\(\frac{5√3m}{3}\)

B5√3m

C10√3m

D\(\frac{10√3m}{3}\)

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Question 20

jamb 1994

If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q

AP = 2, q = 4

Bp = 3, q = 1

Cp = 5, q = 3

Dp = 6, q = 2

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