Mathematics Past Questions

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

95 questions
Question 1 of 20 95 total questions
Question 31
jamb 2011

Evaluate \(\int^{1}_{0}\)(3 - 2x)dx

A33m
B5
C2
D6
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Question 32
jamb 2011

Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1

A\(\frac{1}{3}\)
B-\(\frac{1}{3}\)
C1
D-1
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Question 33
jamb 2011
Class Intervals 0-2 3-5 6-8 9-11
Frequency 3 2 5 3

Find the mode of the above distribution.

A9
B8
C10
D7
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Question 34
jamb 2011

The derivatives of (2x + 1)(3x + 1) is

A12x + 1
B6x + 5
C6x + 1
D12x + 5
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Question 35
jamb 2011
A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.
A195o
B135o
C225o
D045o
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Question 36
jamb 2011

In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?

A\(\frac{2}{3}\)
B\(\frac{3}{5}\)
C\(\frac{1}{5}\)
D\(\frac{4}{5}\)
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Question 37
jamb 2011

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

A5y - 2x -18 = 0
B5y + 2x - 18 = 0
C5y - 2x + 18 = 0
D5y + 2x - 2 = 0
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Question 38
jamb 2011

The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.

A(2, 10)
B(2, 8)
C(2, 12)
D(2, 6)
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Question 39
jamb 2011

The perpendicular bisector of a line XY is the locus of a point 

Awhose distance from X is always twice its distance from Y
Bwhose distance from Y is always twice its distance from X.
Cwhich moves on the line XY
Dwhich is equidistant from the points X and Y
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Question 40
jamb 2011
A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold
A48 cm3
B33 cm3
C60 cm3
D27 cm3
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Question 41
jamb 2011

A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?

A4√6 cm
B3√6 cm
C6√6 cm
D2√6 cm
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Question 42
jamb 2011
What is the size of each interior angle of a 12-sided regular polygon?
A120o
B150o
C30o
D180o
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Question 43
jamb 2011
The inverse of matrix N = \(\begin{vmatrix} 2 & 3 \\
1 & 4\end{vmatrix}\) is
A\(\frac{1}{5}\) \(\begin{vmatrix} 2 & 1 \\ 3 & 4\end{vmatrix}\)
B\(\frac{1}{5}\) \(\begin{vmatrix} 4 & -3 \\ -1 & 2\end{vmatrix}\)
C\(\frac{1}{5}\) \(\begin{vmatrix} 2 & -1 \\ -3 & 4\end{vmatrix}\)
D\(\frac{1}{5}\) \(\begin{vmatrix} 4 & 3 \\ 1 & 2\end{vmatrix}\)
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Question 44
jamb 2011
Evaluate \(\begin{vmatrix} 4 & 2 & -1 \\ 2 & 3 & -1 \\ -1 & 1 & 3 \end{vmatrix}\)
A25
B45
C15
D55
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Question 45
jamb 2011

If \(\begin{vmatrix} 2 & 3 \\ 5 & 3x \end{vmatrix}\) = \(\begin{vmatrix} 4 & 1 \\ 3 & 2x \end{vmatrix}\), find the value of x. 

A-6
B6
C-12
D12
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Question 46
jamb 2011
A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) - \(\frac{2}{3}\).
A- \(\frac{1}{2}\)
B\(\frac{1}{3}\)
C-1
D2
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Question 47
jamb 2011
The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms
A60
B62
C54
D64
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Question 48
jamb 2011
Find the sum of the first 18 terms of the series 3, 6, 9,..., 36.
A505
B513
C433
D635
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Question 49
jamb 2011

Solve the inequality x2 + 2x > 15.

Ax < -3 or x > 5
B-5 < x < 3
Cx < 3 or x > 5
Dx > 3 or x < -5
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Question 50
jamb 2011

Solve the inequality -6(x + 3) \(\leq\) 4(x - 2)

Ax \(\leq\) 2
Bx \(\geq\) -1
Cx \(\geq\) -2
Dx \(\leq\) -1
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