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Mathematics Past Questions

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

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107 questions

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Question 31

jamb 2015

The area of an ellipse is 132cm\(^2\).The length of its major axis is 14cm.Find the length of its minor axis

A10.5cm

B5cm

C10cm

D12cm

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Question 32

jamb 2015

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

A10.3cm²

B15.7cm²

C50.3cm²

D17.4cm²

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Question 33

jamb 2015

Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)

A2x/(x + 1)(x−3)

B2x/(x + 1)(x−1)

C2x/(x + 1)2

D2x(x+1)2

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Question 34

jamb 2015

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A17.1cm²

B27.2cm²

C47.1cm²

D37.3cm²

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Question 35

jamb 2015

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

A\( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)

B\( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)

C\( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)

D\( \frac{2x^2}{3} + \frac{x}{5} - C \)

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Question 36

jamb 2015

Evaluate log5(\( y^2x^5 ÷ 125b½) \)

A2 log₅y + 5log₅ y² − 3

Blog₅ y² + 5log₅ x + 3

C25log_y 5 + 3

D2log₅y + 5log₅x − ½ log₅b −3

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Question 37

jamb 2015

10011₂ + *****₂ + 11100₂ + 101₂ = 1001111₂

A1111₂

B11011₂

C10111₂

D11001₂

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Question 38

jamb 2015

Evaluate log₇17

A1.35

B1.353

C1.455

D0.455

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Question 39

jamb 2015

If an investor invest N450,000 in a certain organization in order to yield X as a return of N25,000. Find the return on an investment of N700,000 by Y in the same organization.

AN14,950.50K

BN25,150.30K

CN15,000.00K

DN38,888.90K

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Question 40

jamb 2015

Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} and T = {x : − 2 < x < 3} Find S \(\cup\) T

A−3 < x < \(\leq\)3

B−2< x < \(\leq\)5

C2< x < \(\geq\) −5

D−1< x \(\geq\) \(\leq\)2

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Question 41

jamb 2015

Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively

A1458

B1485

C1345

D1258

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Question 42

jamb 2015

Find the distance between the points (-2,-3) and (-2,4)

A3m

B2.4m

C3.2m

D7.0m

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Question 43

jamb 2015

Simplify \(6\frac{1}{12} − 2 ¾ + 1 ½ \)

A\( 3 \frac{5}{6}\)

B\( 4 \frac{5}{6}\)

C\( 2 \frac{1}{6}\)

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

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Question 44

jamb 2015

A man bought a car for N800 and sold it for N520. Find his loss per cent

A15%

B25%

C35%

D10%

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Question 45

jamb 2015

If (159.75)10 = (x)6. Find x

Ax₆ = 123.34₆

Bx₆ = 424.5₆

Cx₆ = 122.43₆

Dx₆ = 124.45₆

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Question 46

jamb 2015

The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

A\( \frac{2}{15} \)

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

C\( \frac{9}{15} \)

D\( \frac{1}{15} \)

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Question 47

jamb 2015

The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

A3.13cm²

B145cm²

C314cm²

D214cm²

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Question 48

jamb 2015

Solve x² − 2x − 3 = 0

Ax = 2 or 1

Bx = 3 or -1

Cx = 1 or 0

Dx = 1 or 2

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Question 49

jamb 2015

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

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

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

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

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

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Question 50

jamb 2015

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

AN410,000

BN365, 217

CN157, 250

DN257,000

View Explanation & Discuss

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