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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1321

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 1322

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 1323

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 1324

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 1325

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 1326

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 1327

waec 2001

How many students are there in the group?

A25

B30

C52

D55

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Question 1328

waec 2001

What is the mode?

A22.5 years

B23.0 years

C24.0 years

D27.5 years

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Question 1329

waec 2001

What is the range of their age?

A14 years

B20 years

C30.5 years

D31 years

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Question 1330

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 1331

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 1332

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 1333

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 1334

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 1335

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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Question 1336

waec 2001

The bearing S40°E is the same as

A040^o

B050^o

C130^o

D140^o

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Question 1337

waec 2001

If 2x : (x +1) = 3:2, what is the value of x?

A\(\frac{1}{2}\)

C\(1\frac{1}{2}\)

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Question 1338

waec 2001

If \(y \propto \frac{1}{\sqrt{x}}\) and x = 16 when y = 2, find x when y = 24

A\(\frac{1}{9}\)

B\(\frac{1}{6}\)

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

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

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Question 1339

waec 2001

Subtract (-y + 3x + 5z) from (4y - x - 2z)

A5y - 4x - 7z

B3y + 2x + 3z

C-5y + 4x + 7z

D2x - 5y + 3z

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Question 1340

waec 2001

The graph of the curve \(y = 2x^2 - 5x - 1\) and a straight line PQ were drawn to solve the equation \(2x^2 - 5x + 2 = 0\)
What is the equation of the straight line PQ?

Ay = -1

By = 1

Cy = 3

Dy = -3

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