Mathematics Past Questions

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35 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

35 questions
Question 1 of 20 35 total questions
Question 1
neco 2001

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

A1
B\(\frac{3}{4}\)
C\(\frac{1}{2}\)
D\(\frac{1}{3}\)
E\(\frac{1}{4}\)
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Question 2
neco 2001
If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2
A8
B24
C27
D81
E648
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Question 3
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 4
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 5
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 6
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 7
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 8
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 9
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 10
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 11
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 12
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 13
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 14
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 15
neco 2001

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

A81
B27
C18
D9
E3
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Question 16
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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Question 17
neco 2001

Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour

A\(\frac{119}{144}\)
B\(\frac{95}{144}\)
C\(\frac{37}{72}\)
D\(\frac{49}{144}\)
E\(\frac{1}{6}\)
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Question 18
neco 2001

A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

AN90.00
BN80.000
CN60.000
DN40.000
EN20.000
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Question 19
neco 2001
A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?
A169.00 cm
B144.00 cm
C25.00 cm
D17.69 cm
E10.00 cm
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Question 20
neco 2001

If the volume of a cube is (8 x \(10^3\))cm\(^3\), what is the surface area of the cube?

A2,400 cm\(^2\)
B1,600 cm\(^2\)
C120 cm\(^2\)
D24 cm\(^2\)
E16 cm\(^2\)
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