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Mathematics Past Questions

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

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Past Questions

90 questions

Question 1 of 20 90 total questions

Question 1

waec 1997

A bag contains 3 white, 6 red, 5 blue identical balls. A ball is picked at random from bag. What is the probability that is either white or blue?

A9/14

B4/7

C3/7

D5/14

E3/14

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Question 2

waec 1997

What is the probability of having an odd number in a single throw of a fair die with the faces numbered 1,2,3,4,5,6?

A5/6

B2/3

C1/2

D1/3

E1/6

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Question 3

waec 1997

The table shows the scores of a group of students in a test. If the average score is 3.5, find the value of x

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Question 4

waec 1997

A bag contains red, black and green identical balls. A ball is picked and replaced. The table shows the result of 100 trials. Find the experimental probability of picking a green ball.

A16

B21/25

C1/3

D4/21

E4/25

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Question 5

waec 1997

The graph is the cumulative frequency curve for the weight distribution of 100 workers in a factory. Which of the points P,Q,R,S and T indicates the median weight?

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Question 6

waec 1997

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the nearest degree, the smallest angle of the triangle.

A35^o

B36^o

C37^o

D38^o

E53^o.

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Question 7

waec 1997

Cos 65^o has the same value as

ASin 65^o

BCos 25^o

CCos 115^o

DCos 205^o

ECos 295^o

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Question 8

waec 1997

lf sin θ= \(\frac{-1}{2}\), find all the values of θ between 0° and 360°.

A120^o,240^o

B120^o180^o

C210^o,300^o

D210^o,330^o

E300^o,360^o

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Question 9

waec 1997

Express the true bearing of 250° as a compass bearing

AN20^oE

BS20^oE

CN20^oW

DS70^oW

ES70^oE

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Question 10

waec 1997

The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30^o. If TU = 54m, how high is T above the horizontal ground?

A108m

B72m

C46.3m

D31.2m

E27m

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Question 11

waec 1997

A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord

A16cm

B18cm

C24cm

D25.51cm

E51.1cm

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Question 12

waec 1997

Which of the following is not necessarily true of a rectangle?

AThe diagonals are equal

BThe diagonals bisect each other

CThe diagonals are perpendicular

DEach diagonal divides the area of the rectangle equally

EEach diagonal divides the rectangle into two congruent triangles

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Question 13

waec 1997

If two triangles are similar, which of the following is true? Their

Acorresponding sides are equal

Bcorresponding angles are equal

Ccorresponding altitudes are equal

Dareas are equal

Eperimeters are equal

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Question 14

waec 1997

Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.

A10⁴

B10³

C10²

D10¹

E10^-1

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Question 15

waec 1997

TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT

A44^o

B46^o

C60^o

D74^o

E118^o

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Question 16

waec 1997

O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, ∠PQT = 42^o and ∠QTR = 64^o; Find ∠QRT

A68^o

B64^o

C42^o

D32^o

E22^o.

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Question 17

waec 1997

Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)

A-4

B-2

C1¹/₃

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Question 18

waec 1997

Find the common ratio in the GP: log 3, log 9, log 81 ..........

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Question 19

waec 1997

The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.

A1⁹/₁₀

B2¹/₅

C2³/₁₁

D2¹/₂

E2⁴/₅

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Question 20

waec 1997

Divide 3.6721 by 4

A0.9180

B1.4180

C1.1680

D1.9180

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