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Mathematics Past Questions

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

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 1

waec 2002

In the diagram, LMT is a straight line. lf O is the centre of circle LMN, OMN = 20°, LTN = 32° and |NM| = |MT|, find LNM.

A44^o

B46^o

C52^o

D70^o

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Question 2

waec 2002

Which of the following is not a rational number?

A-5

B\(\sqrt{4}\)

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

D\(\sqrt{90}\)

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Question 3

waec 2002

The number of goals scored by a school team in 10 netball matches are as follows: 3, 5, 7, 7, 8, 8, 8, 11, 11, 12. Find the probability that in a match, the school team will score at most 8 goals.

A\(\frac{7}{10}\)

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

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

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

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Question 4

waec 2002

Given that \(p = x-\frac{1}{x} and\hspace{1mm}q = x^2 + \frac{1}{x^2}\) express q in terms of p.

A(p² + 2)

B(p - 2) ²

C(p + 2) ²

D(p² - 2)

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Question 5

waec 2002

In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°. Calculate ∠PQR

A100^o

B96^o

C94^o

D86^o

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Question 6

waec 2002

In the diagram, \(QR||TP and W\hat{P}T = 88^{\circ} \). Find the value of x

A92^o

B68^o

C67^o

D23^o

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Question 7

waec 2002

To arrive on schedule, a train is to cover a distance of 60km at 72km/hr. If it starts 10 minutes late, at what speed must it move to arrive on schedule?

A60km/hr

B80km/hr

C90km/hr

D108km/hr

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Question 8

waec 2002

Calculate and correct to two significant figures, the percentage error in approximating 0.375 to 0.4

A2.0

B2.5

C6.6

D6.7

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Question 9

waec 2002

In the diagram, |QR| = 10cm, PR⊥QS, angle PSR = 30° and angle PQR = 45°. Calculate in meters |QS|

A\(10(1+\sqrt{3})\)

B\(20\sqrt{3}\)

C\(10\sqrt{3}\)

D\((10+\sqrt{3})\)

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Question 10

waec 2002

In the diagram, \(\bar{PS}\hspace{1mm} and \hspace{1mm}\bar{QT}\) are two altitudes of ∆PQR. Which of the following is equal to ∠RQT?

A∠PQT

B∠SRP

C∠PQR

D∠SPR

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Question 11

waec 2002

In the diagram, calculate the value of x

A35^o

B80^o

C100^o

D115^o

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Question 12

waec 2002

In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = \(6\sqrt{3}cm\), calculate |RT|

A0.3cm

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

C3cm

D\(3\sqrt{3}cm\)

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Question 13

waec 2002

If q oranges are sold for t Naira, how many oranges can be bought for p naira?

A\(\frac{p}{2}t\)

B\(\frac{qt}{p}\)

C\(\frac{q}{pt}\)

D\(\frac{pq}{t}\)

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Question 14

waec 2002

Factorize m(2a-b)-2n(b-2a)

A(2a-b)(2n-m)

B(2a+b)(m-2n)

C(2a-b)(m+2n)

D(2a-b)(m-2n)

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Question 15

waec 2002

Simplify \(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

A\(7\sqrt{3}\)

B\(10\sqrt{3}\)

C\(14\sqrt{3}\)

D\(18\sqrt{3}\)

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Question 16

waec 2002

The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?

A15cm²

B30cm²

C616cm²

D1262cm²

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Question 17

waec 2002

The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.

A35.75m

B25.00m

C22.98m

D19.28

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Question 18

waec 2002

In the diagram, |SR| = |RQ| and ∠PRQ = 58^o ∠VQT = 19^o, PQT, SQV and PSR are straight lines. Find ∠QPS

A42^o

B39^o

C38^o

D30^o

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Question 19

waec 2002

Simplify \(\frac{2^{\frac{1}{2}}\times 8^{\frac{1}{2}}}{4}\)

D16

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Question 20

waec 2002

In the diagram O is the centre of the circle. Which of the following is/are not true? I. a = b II. b + c = 180o III. a + b = c

AI and II only

BII and III only

CII only

DIII only

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