Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 991
jamb 2007

Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)

A5
B1
C7
D3
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Question 992
jamb 2007

Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......\)

A1
B2
C8
D4
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Question 993
jamb 2007

The nth term of the sequence \(\frac{3}{2}\), 3, 7, 16, 35, 74 ..... is

A5 . 2n-2 - n
B5 . 2n-2 - \(\frac{(n+1)}{2}\)
C3 . 2n-2
D\(\frac{3n}{2}\)
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Question 994
jamb 2007
A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1
A-7
B-9
C5
D9
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Question 995
jamb 2007
W ∝ L2 and W = 6 when L = 4. If L = √17 find W
A67/8
B65/8
C63/8
D61/8
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Question 996
jamb 2007
Solve the inequalities -3(x - 2) < -2(x + 3)
Ax > 12
Bx < 12
Cx > -12
Dx < - 12
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Question 997
jamb 2007
Factorize 2t2 + t - 15
A(2t - 3)(t + 5)
B(t + 3)(2t - 5)
C(t + 3)(t - 5)
D(2t + 3)(t - 5)
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Question 998
jamb 2007

The solution of the quadratic inequality (x\(^2\) + x - 12) ≥ 0 is

Ax ≥ -3 or x ≤ 4
Bx ≥ 3 or x ≥ -4
Cx ≤ 3 or x \(\leq\) -4
Dx ≥ 3 or x ≤ -4
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Question 999
jamb 2007

Make L the subjects of the formula if  d = \(\sqrt{\frac{42w}{5l}}\)

A\(\sqrt{\frac{42w}{5d}}\)
B\(\frac{42W}{5d^2}\)
C\(\frac{42}{5dW}\)
D\(\frac{1}{d}\sqrt{\frac{42w}{5}}\)
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Question 1000
jamb 2007

The graph above is represented by

Ay = x3 - 3x - 2
By = x3 + 2x2 - x - 2
Cy = x3 - 4x2 + 5x - 2
Dy = x3 - 4x + 2
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Question 1001
jamb 2007
A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-3/4)⊕6 is
A3/4
B-9/2
C45/4
D-3/4
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Question 1002
jamb 2007

Determine the value of \(\int_0 ^{\frac{\pi}{2}
}(-2cos x)dx\)

A-2
B-1/2
C-3
D-3/2
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Question 1003
jamb 2007

Find the value of x for which the function f(x) = 2x\(^3\) - x\(^2\) - 4x + 4 has a maximum value

A2/3
B1
C- 2/3
D- 1
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Question 1004
jamb 2007
If y = x cos x, find dy/dx
Asin x - x cos x
Bsin x + x cos x
Ccos x + x sin x
Dcos x - x sin x
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Question 1005
jamb 2007
Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x
A\(\frac{x^2}{2}-2\sqrt{x}+K\)
B\(\frac{2(x^2 - x)}{3x}+K\)
C\(\frac{x^2}{2}-\sqrt{x}+K\)
D\(\frac{(x^2 - x)}{3x}+K\)
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Question 1006
jamb 2007
In how many ways can 6 subjects be selected from 10 subjects for an examination
A218
B216
C215
D210
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Question 1007
jamb 2007
Marks

 3

 4

 5

 6

 7

 8

Frequency

 5

(y - 1)

 y

 9

 4

 1

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

A15
B13
C11
D8
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Question 1008
jamb 2007
What is the mean deviation of 3, 5, 8, 11, 12 and 21?
A4.7
B60
C3.7
D10
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Question 1009
jamb 2007

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

A27/40
B17/20
C3/30
D33/40
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Question 1010
jamb 2007

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

A90o
B60o
C30o
D40o
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