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Mathematics Past Questions

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

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135 questions

Question 1 of 20 135 total questions

Question 21

waec 2001

PQRS is a trapezium in which |PS| = 9cm, |QR| = 15cm, |PQ| = \(2\sqrt{3}, \angle PQR = 90^o and \angle QRS = 30^o\). Calculate the area of the trapezium

A\(24\sqrt{3} cm^2\)

B\(36\sqrt{3} cm^2\)

C\(42\sqrt{3} cm^2\)

D\(72\sqrt{3} cm^2\)

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Question 22

waec 2001

A solid cylinder of radius 7cm is 10 cm long. Find its total surface area.

A\(70\pi cm^2\)

B\(189\pi cm^2\)

C\(210\pi cm^2\)

D\(238\pi cm^2\)

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Question 23

waec 2001

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the volume of the prism?

A28cm²

B42cm²

C70cm²

D84cm²

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Question 24

waec 2001

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the area of the cross-section?

A4 cm²

B6cm²

C15cm²

D20cm²

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Question 25

waec 2001

In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm2, find the area of the quadrilateral MPQN

A3cm²

B6cm²

C14cm²

D24cm²

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Question 26

waec 2001

A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)

A47cm

B61cm

C88cm

D231cm

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Question 27

waec 2001

A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle? Take \(\pi =\frac{22}{7}\)

A16cm

B17cm

C18cm

D20cm

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Question 28

waec 2001

In the diagram, PQ is a diameter of the circle and ∠PRS = 58°. Find ∠STQ.

A29^o

B32^o

C42^o

D53^o

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Question 29

waec 2001

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR

A51^o

B64^o

C77^o

D103^o

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Question 30

waec 2001

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

A75^o

B80^o

C85^o

D95^o

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Question 31

waec 2001

Which of the following is not the the size of an exterior angle of a regular polygon?

A15^o

B18^o

C20^o

D21^o

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Question 32

waec 2001

How many students are there in the group?

A25

B30

C52

D55

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Question 33

waec 2001

What is the mode?

A22.5 years

B23.0 years

C24.0 years

D27.5 years

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Question 34

waec 2001

What is the range of their age?

A14 years

B20 years

C30.5 years

D31 years

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Question 35

waec 2001

If the probability that an event will occur is p and the probability that it will not occur is q, which of the following is true?

Ap-q=1

Bq-p=0

Cp+q=1

Dp+q=0

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Question 36

waec 2001

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that one is green and the other is blue?

A\(\frac{2}{11}\)

B\(\frac{5}{12}\)

C\(\frac{8}{12}\)

D\(\frac{7}{11}\)

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Question 37

waec 2001

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that the two balls are red?

A\(\frac{5}{33}\)

B\(\frac{5}{36}\)

C\(\frac{103}{132}\)

D\(\frac{31}{36}\)

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Question 38

waec 2001

Express 25° 45' in decimal (Hint: 1° = 60')

A25.75^o

B25.55^o

C25.45^o

D25.15^o

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Question 39

waec 2001

Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|

A5.0km

B7.5km

C7.6km

D8.7km

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Question 40

waec 2001

Given that sin \(P = \frac{5}{13}\), where p is acute, find the value of cos p - tan p

A\(\frac{79}{156}\)

B\(\frac{85}{156}\)

C\(\frac{7}{13}\)

D\(\frac{8}{1}\)

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