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Mathematics Past Questions

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

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 1

waec 2004

A point on the ground is 5m away from the foot of a vertical wall 7 m high, Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

A36^o

B44^o

C46^o

D54^o

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Question 2

waec 2004

A bag contains 3 red and 2 white identical balls. lf 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours

A\(\frac{36}{625}\)

B\(\frac{16}{625}\)

C\(\frac{12}{25}\)

D\(\frac{13}{25}\)

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Question 3

waec 2004

A Cooperative Society charges an interest of 5\(\frac{1}{2}\)% per annum on any amount borrowed by its members. If a member borrows N125,000, how much does he pay back after one year?

AN136875

BN131,875

CN126750

DN126250

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Question 4

waec 2004

Given that p = 2, q = -5 and r = - 4, evaluate 3p² - q² - r³

A101

B77

C51

D-27

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Question 5

waec 2004

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

A4:5

B8: 15

C6:125

D8:125

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Question 6

waec 2004

Which of the following is/are true? In a plane, the locus of points I. Equidistant from a straight line is a circle radius d where d is the distance between the point and the straight line.
II Equidistant from two given points P and Q is a circle of radius |PQ|. III Equidistant from two points is the perpendicular bisector of the line joining the two points.

AI only

BII only

CIII only

DI, II and III

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Question 7

waec 2004

Given that \(P\propto \frac{1}{\sqrt{r}}\) and p = 3 when r = 16, find the value of r when p = \(\frac{3}{2}\)

A48

B64

C72

D324

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Question 8

waec 2004

The locus of a point which moves in a plane such that it is equidistant from two fixed points X and Y is

Athe perpendicular bisector of the line segment X Y

Ba line parallel to the line segment XY

Ca circle with XY as diameter

Dthe line perpendicular to the line segment XY

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Question 9

waec 2004

Which of the following quadratic equations has \(-\frac{1}{2}\) and \(\frac{3}{4}\) as its roots?

A8x² + 11x - 3 = 0

B8x² -11x – 3 = 0

C8x² + 2x -3 = 0

D8x² - 2x – 3 = 0

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Question 10

waec 2004

The values of x when y = 3 are approximately

A-4.7 and 1.4

B-4.6 and 1.5

C-3.6 and 0.4

D-3.6 and 1.5

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Question 11

waec 2004

Use the graph to answer the Question below
What are the roots of the equation x² + 3x - 4 = 0?

A1, 4

B-1, -4

C-1, 4

D-4, 1

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Question 12

waec 2004

The diagram is a circle centre O. Find the value of x

A30^o

B50^o

C61^o

D78^o

E65.5\(^{\circ}\)

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Question 13

waec 2004

Simplify \(\frac{2}{a+b}-\frac{1}{a-b}\)

A\(\frac{3}{a+b}\)

B\(\frac{a-3b}{a^2-b^2}\)

C\(\frac{3a-b}{a^2 – b^2}\)

D\(\frac{a-3b}{a^2+b^2}\)

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Question 14

waec 2004

A boy walks 800m in 20 minutes. Calculate his average speed in km per hour

A2.4

C16

D24

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Question 15

waec 2004

Find the range of values of x for which\(\frac{x+2}{4}-\frac{x+1}{3}>\frac{1}{2}\)

Ax > 4

Bx > -4

Cx < 4

Dx < -4

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Question 16

waec 2004

The table above gives the marks scored by a group of students in a test Use the table to answer the Question below
What is the probability of selecting a student from the group that scored 2 or 3?

A\(\frac{1}{11}\)

B\(\frac{5}{22}\)

C\(\frac{7}{22}\)

D\(\frac{6}{11}\)

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Question 17

waec 2004

The table above gives the marks scored by a group of students in a test. Use the table to answer the Question below
What is the median mark?

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Question 18

waec 2004

In the diagram, PQRW is a circle. Line PW and QR are produced to meet at M, where ∠WMR = 30o and |WM| = |MR| Find the value of x

A10^o

B25^o

C35^o

D60^o

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Question 19

waec 2004

Given that \(\sqrt{128}+\sqrt{18}-\sqrt{K} = 7\sqrt{2}\), find K,

B16

C32

D48

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Question 20

waec 2004

Find the average of the first four prime numbers greater than10

A20

B19

C17

D15

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