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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 2021

jamb 1985

Without using table, calculate the value of 1 + sec2 30o

A2\(\frac{1}{3}\)

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

C\(\frac{5}{3}\)

D3\(\frac{1}{2}\)

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Question 2022

jamb 1985

The bearing of a bird on a tree from a hunter on the ground is N72oE. What is the bearing of the hunter from the birds?

AS 18^o W

BS 72^o W

CS 72^o E

DS 27^o E

ES 27^o W

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Question 2023

jamb 1985

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

A234.00 cm³

B526.50 cm³

C166.00 cm³

D687cm³

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Question 2024

jamb 1985

If two fair coins are tossed, what is the probability of getting at least one head?

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

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

D\(\frac{43}{78}\)

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

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Question 2025

jamb 1985

If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?

A\(\sqrt{2}\)

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

C22

E2 - 1

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Question 2026

jamb 1985

The number of goals scored by a football team in 20 matches is shown below
\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7 & 4 & 1 & 0 \end{array}\)
What are the values of the mean and the mode respectively?

A(1.75, 5)

B(1.75, 2)

C(1.75, 1)

D(65, 74)

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Question 2027

jamb 1985

Find the missing value in the table below
\(\begin{array}{c|c} x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = 4 - 3x - x^3 & 80 & & 18 & 8 & 4 & 0 & -10 & -32 \end{array}\)

A-32

B-14

C40

D22

E37

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Question 2028

jamb 1985

In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)^o

A\(\frac{4}{39}\)

B\(\frac{43}{39}\)

C\(\frac{209}{3}\)

D\(\frac{43}{78}\)

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Question 2029

jamb 1985

If f(x - 2) = 4x² + x + 7, find f(1)

A12

B27

D46

E17

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Question 2030

jamb 1985

Solve the simultaneous equations 2x - 3y + 10, 10x - 6y = - 5

Ax = 2\(\frac{1}{2}\), y = 5

Bx = \(\frac{1}{2}\), y = \(\frac{3}{2}\)

Cx = 2\(\frac{1}{4}\), y = 3\(\frac{1}{2}\)

Dx = 2\(\frac{1}{3}\), y = 3\(\frac{1}{2}\)

Ex = 2\(\frac{1}{3}\), y = 2\(\frac{1}{2}\)

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Question 2031

jamb 1985

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

A(\(\frac{5}{2}\), 1)

B(5, -4)

C(2, 1)

D(1, \(\frac{-5}{2}\))

E(1,-2)

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Question 2032

jamb 1985

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

A(6, -8): (-2, 8)

B(3, -4): (-1, 4)

C(8, -4): (-1, 4)

D(-8, 6): (8, -2)

E(-4, 3): (4, -1)

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Question 2033

jamb 1985

If the quadratic function 3x² - 7x + R is a perfect square, find R

A\(\frac{49}{24}\)

B\(\frac{49}{12}\)

C\(\frac{49}{13}\)

D\(\frac{49}{3}\)

E\(\frac{49}{36}\)

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Question 2034

jamb 1985

At what real value of x do the curves whose equations are y = x³ + x and y = x² + 1 intersect?

A-2

C-1

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Question 2035

jamb 1985

Factorize abx² + 8y - 4bx - 2axy

A(ax - 4)(bx - 2y)

B(ax + b)(x - 8y)

C(ax - 2y)(bx - 4)

D(bx - 4)(ax - 2y)

E(abx - 4)(x - 2y)

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Question 2036

jamb 1985

If 3^2y + 6(3^y) = 27. Find y

B-1

D-3

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Question 2037

jamb 1985

The factors of 9 - (x² - 3x - 1)² are

A-(x - 4)(x + 1) (x - 1)(x - 2)

B(x - 4)(x - 2) (x - 1)(x + 1)

C-(x - 2)(x + 1) (x - 2) (x - 1)

D(x - 2)(x + 2) (x - 1)(x + 1)

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Question 2038

jamb 1985

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k, Find the cost for 50 people?

A15k

B20k

C50k

D40k

E45k

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Question 2039

jamb 1985

\((\sqrt[4]{3} + \sqrt[4]{2})(\sqrt[4]{3} - \sqrt[4]{2})(\sqrt{3} + \sqrt{2})\) is equal to

B(\(\sqrt{2} + 4\sqrt{2}\))

C(6\(\sqrt{2}\)

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Question 2040

jamb 1985

If \(e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ... \), find \(\frac{1}{e^{\frac{1}{2}}}\)

A1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........

B1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{2.4.3}\) + ..

C1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + \(\frac{x^4}{1.23.4}\) + .........

D1 - x + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........

E1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{1.2.6}\) + .........

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