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Mathematics Past Questions

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

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94 questions

Question 1 of 20 94 total questions

Question 31

jamb 1995

The pie chart shows the distribution of students in a secondary school class. If 30 students offered French, how many offered C.R.K?

A25

B15

C10

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Question 32

jamb 1995

\(\begin{array}{c|c} \text{Age in years} & 13 & 14 & 15 & 16 & 17 \\ \hline \text{No. of students} & 3 & 10 & 30 & 42 & 15\end{array}\)
The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angles corresponding to the 15 years old is

A27^o

B30^o

C54^o

D108^o

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Question 33

jamb 1995

Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.

A24

B22

C21

D20

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Question 34

jamb 1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A2x² - 3x + 5

B2x² - 3x + 3

C2x² - 3x

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Question 35

jamb 1995

For what value of x is the tangent to the curve y = x\(^2\) - 4x + 3 parallel to the x-axis?

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Question 36

jamb 1995

The derivative of cosec x is

Atan x cosec x

B-cot x cosec x

Ctan x sec x

D-cot x sec x

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Question 37

jamb 1995

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank.

A60m

B30 \(\sqrt{3}\)m

C20 \(\sqrt{3}\)m

D10 \(\sqrt{3}\)m

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Question 38

jamb 1995

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.

A100^o

B80 ^o

C50 ^o

D40 ^o

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Question 39

jamb 1995

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

Ax + 2y - 1= -0

B2x + y - 3 = 0

Cx - 2y - 3 = 0

D2x + y - 1 = 0

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Question 40

jamb 1995

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

A\(\frac{11000}{3}\)km

B\(\frac{2200}{3}\)km

C\(\frac{22000}{3}\)km

D\(\frac{1100}{3}\)km

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Question 41

jamb 1995

In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle between the internal bisectors of < XYZ and < XZY.

A12^o

B56^o

C68^o

D78^o

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Question 42

jamb 1995

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

A\(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)

B\(\begin{pmatrix} 2 & 7 \\ 4 & 17 \end{pmatrix}\)

C\(\begin{pmatrix} 10 & 4 \\ 4 & 6 \end{pmatrix}\)

D\(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)

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Question 43

jamb 1995

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

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Question 44

jamb 1995

Find the sum to infinity of the following sequence \(1, \frac{9}{10}, (\frac{9}{10})^{2}, (\frac{9}{10})^{3}\)

A\(\frac{1}{10}\)

B\(\frac{9}{10}\)

C\(\frac{10}{9}\)

D10

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Question 45

jamb 1995

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

A12

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Question 46

jamb 1995

Which of the following binary operations is cumulative on the set of integers?

Aa \(\ast\) b = a + 2b

Ba \(\ast\) b = a + b - ab

Ca \(\ast\) b = a² + b

Da \(\ast\) b = \(\frac{a(b + 1)}{2}\)

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Question 47

jamb 1995

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

A\(\frac{2}{x + 2} - \frac{3}{x - 3}\)

B\(\frac{2}{x - 2} + \frac{3}{x - 3}\)

C\(\frac{2}{x - 3} - \frac{3}{x - 2}\)

D\(\frac{5}{x - 3} - \frac{4}{x - 2}\)

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Question 48

jamb 1995

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

A\(\frac{1}{x + 2}\)

B\(\frac{x - 1}{x + 1}\)

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

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

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Question 49

jamb 1995

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.

A175

B85

C64

D45

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Question 50

jamb 1995

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

A3 \(\leq\) x \(\leq\) 4

B3 < x < 4

C3 \(\leq\) x < 4

D3 < x \(\leq\) 4

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