Mathematics Past Questions

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

46 questions
Question 1 of 20 46 total questions
Question 11
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 12
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 13
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 14
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 15
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 16
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 17
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 18
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 19
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 20
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 21
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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Question 22
jamb 2011
T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\), find T when R = 2
A\(\frac{1}{18}\)
B\(\frac{1}{12}\)
C\(\frac{1}{24}\)
D\(\frac{1}{6}\)
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Question 23
jamb 2011

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1\(\frac{7}{9}\)

A20\(\frac{1}{4}\)
B27
C2\(\frac{1}{4}\)
D36
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Question 24
jamb 2011
Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0
A-3, -9
B9, -3
C-9,3
D3, -9
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Question 25
jamb 2011
Factorize completely 9y2 - 16X2
A(3y - 2x)(3y + 4x)
B(3y + 4x)(3y + 4x)
C(3y + 2x)(3y - 4x)
D(3y - 4x)(3y + 4x)
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Question 26
jamb 2011
Find the remainder when X3 - 2X2 + 3X - 3 is divided by X2 + 1
A2X - 1
BX + 3
C2X + 1
DX - 3
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Question 27
jamb 2011
Make R the subject of the formula if T = \(\frac {KR^2 + M}{3}\)
A\(\sqrt\frac{3T - K}{M}\)
B\(\sqrt\frac{3T - M}{K}\)
C\(\sqrt\frac{3T + K}{M}\)
D\(\sqrt\frac{3T - K}{M}\)
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Question 28
jamb 2011
Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?
A49
B170
C21
D210
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Question 29
jamb 2011
Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))
A\(\frac{7}{3}\)
B\(\frac{5}{3}\)
C\(\frac{5}{2}\)
D\(\frac{3}{2}\)
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Question 30
jamb 2011
Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)
A\(\frac{1 - \sqrt5}{2}\)
B\(\frac{1 - \sqrt5}{4}\)
C\(\frac{ \sqrt5 - 1}{2}\)
D\(\frac{1 + \sqrt5}{4}\)
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