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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 2013

P, Q, and R are subsets of the universal set U. The Venn diagram showing the relationship \((P \cap Q) \cup R\) is

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Question 2

jamb 2013

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

A-2

D-1

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Question 3

jamb 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

A\(2x^{2} - \frac{1}{x} + k\)

B\(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)

C\(-\frac{x^{2}}{2} - \frac{1}{x} + k\)

D\(x^{2} - \frac{1}{x} + k\)

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Question 4

jamb 2013

If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).

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

B\(1\frac{2}{3}\)

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

D\(1\frac{2}{5}\)

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Question 5

jamb 2013

In triangle PQR, q = 8 cm, r = 6 cm and cos P = \(\frac{1}{12}\). Calculate the value of p.

A\(\sqrt{108}\) cm

B9 cm

C\(\sqrt{92}\) cm

D10 cm

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Question 6

jamb 2013

Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)

A8y + 14x + 13 = 0

B8y - 14x + 13 = 0

C8y - 14x - 13 = 0

D8y + 14x - 13 = 0

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Question 7

jamb 2013

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A(8,6)

B(5,6)

C(0,4)

D(6,5)

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Question 8

jamb 2013

The locus of the points which is equidistant from the line PQ forms a

Aperpendicular line to PQ

Bcircle centre P

Ccircle centre Q

Dpair of parallel lines to PQ

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Question 9

jamb 2013

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.

A32\(\pi\) cm\(^2\)

B4\(\pi\) cm\(^2\)

C8\(\pi\) cm\(^2\)

D16\(\pi\) cm\(^2\)

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Question 10

jamb 2013

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A\(8\sqrt{3}\) cm

B4 cm

C8 cm

D\(8\sqrt{2}\) cm

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Question 11

jamb 2013

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A720

B336

C420

D576

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Question 12

jamb 2013

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A66°

B12°

C30°

D42°

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Question 13

jamb 2013

The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.

A30

B11

C50

D20

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Question 14

jamb 2013

The bar chart above shows the allotment of time(in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?

A460mins

B720mins

C960mins

D200mins

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Question 15

jamb 2013

The value x in the figure given is

A110^o

B100^o

C70^o

D130^o

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Question 16

jamb 2013

In the diagram given, find the value of x.

A30^o

B40^o

C45^o

D15^o

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Question 17

jamb 2013

The graph above is correctly represented by

Ay = x² - x - 2

By = x² - 3x + 2

Cy = x² - x - 1

Dy = x² + x - 2

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Question 18

jamb 2013

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.

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

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

C\(\frac{7}{24}\)

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

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Question 19

jamb 2013

What is the probability that an integer x \((1 \leq x \leq 25)\) chosen at random is divisible by both 2 and 3?

A\(\frac{1}{25}\)

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

C\(\frac{4}{25}\)

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

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Question 20

jamb 2013

In how many ways can 3 seats be occupied if 5 people are willing to sit?

A60

B20

D120

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