Mathematics Past Questions

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

49 questions
Question 1 of 20 49 total questions
Question 1
jamb 1999

A number is selected at random from 0 to 20. What is the probability that the number is odd prime?

A\(\frac{8}{21}\)
B\(\frac{1}{3}\)
C\(\frac{2}{7}\)
D\(\frac{5}{21}\)
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Question 2
jamb 1999

The mean of four numbers is 5, and the mean deviation is 3. Find the fourth number if the mean deviation of the first three numbers is 2

A6
B10
C11
D12
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Question 3
jamb 1999

If \(\frac{^6C_r}{^6P_r}\) = \(\frac{1}{6}\), find the value of r.

A1
B3
C5
D6
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Question 4
jamb 1999

A student calculated the mean of 5 numbers as 45.3. While rechecking his working, he discovered that his total was short by 20.5. What is the correct mean of the 5 numbers?

A25.8
B
C41.2
D65.8
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Question 5
jamb 1999

The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?

A7
B8
C9
D12
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Question 6
jamb 1999
find the length XZ in the triangle
A\(\sqrt{7m}\)
B\(\sqrt{6m}\)
C\(\sqrt{5m}\)
D\(\sqrt{3m}\)
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Question 7
jamb 1999

The sectoral allocations to various ministries in a state budget are as follows:

Agriculture - N25,000,000.00

Education - N20,000,000.00

Women affairs - N35,000,000.00

Commercial and Industries - N20,000,000.00

Use a pie chart to represent this information. The corresponding angle to Agriculture is

A90\(^0\)
B72\(^0\)
C60\(^0\)
D45\(^0\)
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Question 8
jamb 1999
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
A3
B4
C5
D6
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Question 9
jamb 1999
In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS
A70o
B55o
C40o
D35o
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Question 10
jamb 1999

In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG, and FH are chords. If < FHG = 42º and < EFH = 34º, calculate < HEG.

A34o
B42o
C52o
D76o
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Question 11
jamb 1999
the shaded portion in the graph is represented by
Ay + x - x \(\leq\) 0, y - x \(\leq\) 0
By - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0
Cy + x - 3 \(\geq\) 0, y + x \(\leq\) 0
Dy - x + x3 \(\geq\) 0, y + x \(\leq\) 0
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Question 12
jamb 1999

The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?

A35%
B45%
C50%
D60%
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Question 13
jamb 1999

If y = 3x\(^2\)(x\(^3\) + 1)\(^{\frac{1}{2}}\). Find \(\frac{\text{dy}}{\text{dx}}\)

A\(\frac{9x^4 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
B\(\frac{3x^2 + 6x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
C\(\frac{9x^2 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
D\(\frac{15x^4 + 6x}{6x^2\sqrt{x^3 + 1}}\)
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Question 14
jamb 1999

Find the value of l in the frustrum above

A5cm
B6cm
C7cm
D8cm
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Question 15
jamb 1999

If the standard deviation of the set of numbers 3, 6, x, 7, 5 is 2, find the least possible value of x.

A2
B3
C4
D6
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Question 16
jamb 1999

Given that Q = \(\begin{pmatrix} 6 & 0 \\ 4 & 5 \end{pmatrix}\) and Q + P = \(\begin{pmatrix} 7 & -2 \\ 6 & 8 \end{pmatrix}\). Evaluate | Q + 2P|.

A90
B96
C102
D120
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Question 17
jamb 1999

Three boys play a game of luck in which their respective chances of winning are \(\frac{1}{2}\), \(\frac{1}{3}\), and \(\frac{1}{4}\). What is the probability that one and only one of the boys wins the game?

A\(\frac{1}{24}\)
B\(\frac{1}{12}\)
C\(\frac{11}{24}\)
D\(\frac{23}{24}\)
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Question 18
jamb 1999

How many two-digit numbers can be formed from the digits 0, 1, 2, 3 if a digit can be repeated and no number begins with 0?

A4
B12
C20
D
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Question 19
jamb 1999

Tope bought x oranges at N5.00 each and some mangoes at N4.00 each. If she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of the value of x.

A4\(\leq\) x \(\leq\) 5
B5\(\leq\) x \(\leq\) 8
C5\(\leq\) x \(\leq\) 10
D8\(\leq\) x \(\leq\) 10
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Question 20
jamb 1999

If the minimum value of y = 1 + hx - 3x\(^2\) is 13, find h.

A13
B12
C11
D10
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