Mathematics Past Questions

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

80 questions
Question 1 of 20 80 total questions
Question 11
jamb 2019

If the 3rd and 7th terms of a G.P are 9 and 1/9 respectively. Find the common ratio.

A\(\frac{1}{3}\)
B\(\frac{1}{9}\)
C\(\frac{2}{3}\)
D\(\frac{2}{9}\)
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Question 12
jamb 2019

Find the probability that a number selected at random from 21 to 34 is a multiple of 3

A\(\frac{3}{11}\)
B\(\frac{2}{9}\)
C\(\frac{5}{14}\)
D\(\frac{5}{13}\)
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Question 13
jamb 2019

Integrate \(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\).

A\(-2x^{-2} - \frac{7}{3}x^3 + \frac{5}{2} x^2 - 6x\)
B\(2x^2 + \frac{7}{3} x^3 - 5x + 6\)
C\(12x^2 + 14x - 5\)
D\(-12x^{-4} - 14x + 5\)
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Question 14
jamb 2019

This table below gives the scores of a group of students in a Further Mathematics Test.

Score 1 2 3 4 5 6 7
Frequency 4 6 8 4 10 6 2

Calculate the mean deviation for the distribution

A4.32
B2.81
C1.51
D3.90
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Question 15
jamb 2019

This table below gives the scores of a group of students in a Further Mathematics Test.

Score 1 2 3 4 5 6 7
Frequency 4 6 8 4 10 6 2

Find the mode of the distribution.

A7
B10
C5
D4
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Question 16
jamb 2019

If M varies directly as N and inversely as the root of P. Given that M = 3, N = 5 and P = 25. Find the value of P when M = 2 and N = 6.

A36
B63
C47
D81
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Question 17
jamb 2019

A binary operation Δ is defined by a Δ b = a + 3b + 2.
Find (3 Δ 2) Δ 5

A35
B59
C28
D87
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Question 18
jamb 2019

A factory worker earns ₦50,000 per month out of which he spends 15% on his children's education, ₦13,600 on Food, 3% on electricity and uses the rest for his personal purpose. How much does he have left?

AN21,850
BN18,780
CN27,400
DN32,500
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Question 19
jamb 2019

Find the equation of the locus of a point A(x, y) which is equidistant from B(0, 2) and C(2, 1)

A4x + 2y = 3
B4x - 3y = 1
C4x - 2y = 1
D4x + 2y = -1
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Question 20
jamb 2019

A bricklayer charges ₦1,500 per day for himself and ₦500 per day for his assistant. If a two bedroom flat was built for ₦95,000 and the bricklayer worked 10 days more than his assistant, how much did the assistant receive?

AN20,000
BN28,000
CN31,200
DN41,000
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Question 21
jamb 2019

If \(25^{1 - x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.

Ax = -4
Bx = 2
Cx = -2
Dx = 4
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Question 22
jamb 2019

Express \((0.0439 \div 3.62)\) as a fraction.

A\(\frac{21}{100}\)
B\(\frac{21}{1000}\)
C\(\frac{12}{1000}\)
D\(\frac{12}{100}\)
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Question 23
jamb 2019

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A\(\frac{\pi h}{3} (2R + r)\)
B\(2R + r + \frac{\pi h}{3}\)
C\(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D\(\frac{2R^2}{3} \pi h\)
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Question 24
jamb 2019

A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

A43.7% loss
B13.2% gain
C13.2% loss
D43.7% gain
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Question 25
jamb 2019

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

A1080°
B1260°
C2160°
D1800°
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Question 26
jamb 2019

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A26°
B13°
C80°
D102°
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Question 27
jamb 2019

If \(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.

A\(T = \frac{15R - Q}{P^3}\)
B\(T = R - \frac{15P^3}{Q}\)
C\(T = \frac{R - 15P^3}{Q}\)
D\(T = \frac{R + P^3}{15Q}\)
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Question 28
jamb 2019

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

A24°
B56°
C127°
D156°
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Question 29
jamb 2019

Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

Ax = 3 or 7, y = 12 or 8
Bx = 6 or 1, y = 11 or 5
Cx = 2 or 5, y = 15 or 6
Dx = 1 or 5, y = 10 or 7
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Question 30
jamb 2019

Simplify \(\frac{0.0839 \times 6.381}{5.44}\) to 2 significant figures.

A0.2809
B2.51
C3.5
D0.098
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