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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 2041

jamb 1984

What is the volume of this regular three dimensional figure?

A160cm²

B48cm²

C120cm²

D40cm²

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Question 2042

jamb 1984

Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below
\(\begin{array}{c|c} \text{Class boundary in cm} & \text{frequency} & \\\hline 3.35 - 3.45 & 3\\ 3.45 - 3.55 & 6\\ 3.55 - 3.65 & 7\\ 3.65 - 3.75 & 4\end{array}\)
What is the mean diameter of the copper spheres?

A3.40cm

B3.58cm

C3.56cm

D3.62cm

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Question 2043

jamb 1984

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

A\(\frac{x}{\sqrt{y^2 - x^2}}\)

B\(\frac{y}{x}\)

C\(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)

D\(\frac{y^2 - x^2}{x}\)

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Question 2044

jamb 1984

The larger value of y for which (y - 1)² = 4y - 7 is

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Question 2045

jamb 1984

Two fair dice are rolled. What is the probability that both show up the same number of points.

A\(\frac{1}{36}\)

B\(\frac{7}{36}\)

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

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

E\(\frac{1}{6}\)

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Question 2046

jamb 1984

A right circular cone has a base radius r cm and a vertical angle 2y^o. The height of the cone is

Ar tan y^o cm

Br sin y^o cm

Cr cot y^o cm

Dr cos y^o cm

Er cosec y^o cm

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Question 2047

jamb 1984

The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?
\(\begin{array}{c|c} Score(n) & Frequency(f)\\\hline 3 & 30\\ 4 & 32\\ 5 & 30\\ 6 & 35\\8 & 20 \end{array}\)

A30

B32

C55

D62

E92

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Question 2048

jamb 1984

If pq + 1 = q² and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q

A\(\frac{1}{p - q}\)

B\(\frac{1}{q - 1}\)

C\(\frac{1}{q + 1}\)

D1 + 0

E\(\frac{1}{1 - q}\)

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Question 2049

jamb 1984

Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)

A(x² - 1)(x + 2)

Bx²(x + 2)

C² + 34

D\(\frac{3x^2 - 1}{(x - 1)}\)

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Question 2050

jamb 1984

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

A\(\frac{3x + 1}{x - 1}\)

B\(\frac{3x^2 - 1}{(x - 1)}\)²

Cx\(\frac{3x - 2}{1 - x}\)

D\(\frac{3x^2 - 1}{(x - 1)}\)

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Question 2051

jamb 1984

The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is \(\frac{1}{5}\), find the value of x

A24cm

B20cm

C28cm

D7cm

E\(\frac{88}{7}\)

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Question 2052

jamb 1984

A cone is formed by bending a sector of a circle having an angle of 210^o. Find the radius of the base of the cone if the diameter of the circle is 12cm.

A12cm

B7.00cm

C1.75cm

D21cm

E3.50cm

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Question 2053

jamb 1984

If (x - 2) and (x + 1) are factors of the expression x³ + px² + qx + 1, what is the sum of p and q

B-3

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

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

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Question 2054

jamb 1984

Find a factor which is common to all three binomial expressions 4a2 - 9b2, 8a3 + 27b3, (4a + 6b)2

A4a + 6b

B4a - 6b

C2a + 3b

D2a - 3b

Enone

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Question 2055

jamb 1984

The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is?

Ax² + (1 - \(\sqrt{13}\)x + 1 + \(\sqrt{13}\) = 0

Bx² - 2x - 12 = 0

Cx² - 2x + 12 = 0

Dx² + 12 + 2x² = 0

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Question 2056

jamb 1984

If f(x) = 2(x - 3)\(^2\) + 3(x - 3) + 4 and g(y) = \(\sqrt{5 + y}\), find g [f(3)] and f[g(4)].

A3 and 4

B-3 and 4

C-3 and -4

D3 and -4

E0 and 5

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Question 2057

jamb 1984

Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x?

Ax² - 5x - 10 = 0

Bx² - 20x + 360 = 0

Cx² - 21x - 270 = 0

D3x² - 65x + 362 = 0

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Question 2058

jamb 1984

If 2x + 3y = 1 and x - 2y = 11, find (x + y)

B-3

E-2

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Question 2059

jamb 1984

In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?

A-1 < x < x < 0

B-3 < x < 3

C0 \(\leq\) x < 18

D15 < x < 18

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Question 2060

jamb 1984

The table below is drawn for a graph y = x³ - 3x + 1
\(\begin{array}{c|c} x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\\hline y = x^3 - 3x + 1 & 1 & -1 & 3 & 1 & -1 & 3 & 1\end{array}\)
From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

A-1 < x < 0 and 0 < x < 1

B-2 < x < -1 and 0 < x < 1

C-2 < x < -1 and -1 < x < 0

D0 < x < 1

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