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Mathematics Past Questions

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

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179 questions

Question 1 of 20 179 total questions

Question 71

neco 2002

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A9.0cm

B8.5cm

C7.2cm

D4.3cm

E3.0cm

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Question 72

neco 2002

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A7.07cm\(^3\)

B50.0cm\(^3\)

C125.0cm\(^3\)

D353.4cm\(^3\)

E625.0cm\(^3\)

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Question 73

neco 2002

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

A1.995 × 10³

B1.95 × 10²

C1.95 × 10¹

D1.95 × 10^-2

E1.95 × 10^-3

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Question 74

neco 2002

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A{17}

B{16, 17, 19, 20}

C{1, 4, 15, 17, 18}

D{14, 15, 16, 18, 19, 20}

E{14, 15, 16, 17, 18, 19, 20}

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Question 75

neco 2001

Two fair coins are tossed at the same time. what is the probability of getting a head?

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

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

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

E\(\frac{1}{4}\)

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Question 76

neco 2001

If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2

B24

C27

D81

E648

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Question 77

neco 2001

The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?

A85.7°

B47.5°

C41.5°

D41.4°

E38.2°

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Question 78

neco 2001

If sin θ = \(\frac{4}{5}\) where 0° ∠ θ ∠ 90º, what is the value of cos θ + tan θ?

A\(\frac{14}{15}\)

B\(\frac{29}{15}\)

C\(\frac{13}{8}\)

D\(\frac{144}{15}\)

E\(\frac{24}{5}\)

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Question 79

neco 2001

Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

A-\(\frac{17}{36}\)

B-\(\frac{3}{28}\)

C-\(\frac{31}{28}\)

D\(\frac{17}{36}\)

E\(\frac{1}{4}\)

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Question 80

neco 2001

Solve the equation x\(^2\) - 3x - 10 = 0

A-2 or -5

B-3 or -10

C5 or -2

D2 or 5

E3 or 10

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Question 81

neco 2001

Convert (\(101.011)_2\) to base 10

A63

B43

C10

D\(\frac{77}{8}\)

E\(\frac{43}{8}\)

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Question 82

neco 2001

Express 0.03785 in standard form correct to 3 significant figures.

A3 × 10\(^{-2}\)

B3.78 × 10\(^{-2}\)

C3.79 × 10\(^{-2}\)

D3.79 × 10\(^{-1}\)

E3.78 × 10\(^{-2}\)

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Question 83

neco 2001

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

A567

B280

C189

D63

E21

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Question 84

neco 2001

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

AN3450.00

BN3910.00

CN4000.00

DN5290.00

EN6900.00

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Question 85

neco 2001

The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)

A1:03

B1:07

C3:01

D3:07

E7:01

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Question 86

neco 2001

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

A\(\frac{10}{17}\)

B\(\frac{7}{17}\)

C\(\frac{20}{51}\)

D\(\frac{3}{17}\)

E\(\frac{1}{51}\)

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Question 87

neco 2001

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

A14 cm\(^3\)

B210 cm\(^3\)

C1,400 cm\(^3\)

D2,100 cm\(^3\)

E4,300 cm\(^3\)

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Question 88

neco 2001

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

A57°

B45°

C33°

D16°

E89°

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Question 89

neco 2001

Find the value of x in the equation: 9\(^x\) = 729

A81

B27

C18

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Question 90

neco 2001

Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)

A± 16a\(^2\)

B± 16a

C± 14a\(^2\)

D± 12a\(^2\)

E± 12a

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