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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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Past Questions

135 questions

Question 1 of 20 135 total questions

Question 11

neco 2001

The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.

A128.3m

B108.8m

C80.2m

D57.7m

E42.5m

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Question 12

neco 2001

Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square

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

D\(\frac{5}{4}\)

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

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Question 13

neco 2001

If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x

A75

B120

C165

D195

E240

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Question 14

neco 2001

If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}

D13

E15

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Question 15

neco 2001

An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)

A4.58 cm

B8.02 cm

C16.04 cm

D32.08 cm

E34 cm

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Question 16

neco 2001

Given that \(\frac{(3 - y)}{2x}\) = \(\frac{(6y + 7)}{(4x - 5)}\), find the value of x when y = 2

A\(\frac{64}{5}\)

C\(\frac{5}{34}\)

D\(\frac{-5}{34}\)

E\(\frac{-64}{5}\)

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Question 17

neco 2001

If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?

A\(\frac{111}{13}\)

B\(\frac{321}{65}\)

C\(\frac{216}{65}\)

D\(\frac{112}{13}\)

E\(\frac{131}{65}\)

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Question 18

neco 2001

The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys?

A10.5 years

B19.0 years

C35.4 years

D264.0 years

E423.5 years

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Question 19

neco 2001

From the top of a storey-buliding, the angle of depression of a mango on a tree 20m away from the base of the storey building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey building to the nearest metre?

A55m

B54m

C50m

D49m

E45m

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Question 20

neco 2001

If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k

A58

B38

C19

D11

E967

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Question 21

neco 2001

The bearing of a point Y from point x is 150°. What is the bearing of X from Y?

A330°

B240°

C150°

D120°

E30°

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Question 22

neco 2001

Simplify 27\(^{-\frac{1}{3}}\) \(\times\) 64\(^{-\frac{1}{3}}\) \(\times\) 4\(^{\frac{1}{3}}\)

A48

B12

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

D\(\frac{1}{12}\)

E\(\frac{1}{48}\)

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Question 23

neco 2001

Find the 19th term of the A.P. \(\frac{5}{6}\), \(\frac{8}{6}\), \(\frac{11}{6}\).................

A7\(\frac{1}{2}\)

C9\(\frac{1}{2}\)

D9\(\frac{5}{6}\)

E10

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Question 24

neco 2001

Mr Aborowa bought a car for N200,000.00 and later sold it for N170,000.00. What is the percentage loss?

A11.60%

B7.60%

C15%

D17.65%

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Question 25

neco 2001

If s = \(\sqrt{(\frac{a^2}{x^2} - \frac{b^2}{y^2})}\)what does y equal?

A\(\sqrt{\frac{(b^2 - a^2)}{(s^2 - x^2)}}\)

B\(\sqrt{\frac{(b^2 - a^2)}{(s^2 \times 2)}}\)

C\(\sqrt{\frac{x^2 - a^2 - b^2}{s}}\)

D\(\frac{x^2 - a^2 - b^2}{s}\)

E\(\sqrt{\frac{(b^2 x^2)}{(a^2 - s^2 x^2)}}\)

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Question 26

waec 2001

In the diagram above, O is the centre of the circle. Reflex angle XOY = 210º and the length of the minor arc is 5.5m. Find, correct to the nearest metre the length of major arc.

A8m

B9m

C10m

D13m

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Question 27

waec 2001

The number line represents

A0 > x \(\geq\) -7

B-7 \(\leq\) x < -1

C-7 < x \(\leq\) -1

D-7 < x < -1

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Question 28

waec 2001

What is the length of \(\bar{RP}\)?

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Question 29

waec 2001

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

A{a,c}

B{a, c, d, g}

C{c, d, g}

D{a, c, g}

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Question 30

waec 2001

The variance of a given distribution is 25. What is the standard deviation?

A125

B75

C25

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