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What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?
Athe perpendicular bisector of XY
Ba right-angled triangle
Ca circle
Da semi circle
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Question 12
jamb1994
Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45o
A2\(\pi\)
B8 + 2\(\pi\)
C16 + 2\(\pi\)
D16 + 16\(\pi\)
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Question 13
jamb1994
An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is
A11 520cm3
B36 000cm3
C38 200cm3
D47 520cm3
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Question 14
jamb1994
If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z - 2y - x)o find the fourth angle in terms of x, y and z
A(360 - x- y - z)o
B(360 + x + y - z)o
C(180 - x + y + z)o
D(180 - x + y + z)o
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Question 15
jamb1994
Age in years
10
11
12
Number of pupils
6
27
7
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?
A\(\frac{27}{40}\)
B\(\frac{17}{20}\)
C\(\frac{33}{40}\)
D\(\frac{3}{20}\)
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Question 16
jamb1994
The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \\ 4 & 5 & 6\\ 2 & 0 & 1 \end{pmatrix}\) is
A-67
B-57
C-1
D3
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Question 17
jamb1994
Solve for x and y \(\begin{pmatrix} 1 & 1 \\ 3 & y \end{pmatrix}\)\(\begin{pmatrix} x \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 1\end{pmatrix}\)
Ax = 3, y = 8
Bx = 3, y = -8
Cx = -8, y = 3
Dx = 8, y = -3
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Question 18
jamb1994
\(\begin{array}{c|c} \oplus mod 10 & 2 & 4 & 6 & 8 \\ \hline 2 & 4 & 8 & 2 & 6 \\4 & 8 & 6 & 4 & 2\\ 4 & 8 & 6 & 4 & 2\\ 6 & 2 & 4 & 6 & 8\\ 8 & 6 & 2 & 8 & 4\end{array}\)
The multiplication table above has modulo 10 on the set S = (2, 4, 6, 8). Find the inverse of 2
A2
B4
C6
D8
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Question 19
jamb1994
A binary operation \(\oplus\) is defines on the set of all positive integers by a \(\oplus\) b = ab for all positive integers a, b. Which of the following properties does NOT hold?
Aclosure
Bidentity
Cpositive
Dinverse
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Question 20
jamb1994
Find the nth term of the sequence 3, 6, 10, 15, 21.....
A\(\frac{n(n - 1)}{2}\)
B\(\frac{n(n + 1)}{2}\)
C\(\frac{(n + 1)(n + 2)}{2}\)
Dn(2n + 1)
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Question 21
jamb1994
Find the value of log10 r + log10 r2 + log10 r4 + log10 r8 + log10 r16 + log10 r32 = 63
A10-1
B10o
C10
D102
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Question 22
jamb1994
If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference.
A\(\frac{12}{5}\)
B\(\frac{5}{3}\)
C-2
D2
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Question 23
jamb1994
Find the range of values of x for which \(\frac{1}{x}\) > 2 is true
Ax < \(\frac{1}{2}\)
Bx < 0 or x < \(\frac{1}{2}\)
C0 < x < \(\frac{1}{2}\)
D1 < x < 2
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Question 24
jamb1994
Find P if \(\frac{x - 3}{(1 - x)(x + 2)}\) = \(\frac{p}{1 - x}\) + \(\frac{Q}{x + 2}\)
A\(\frac{-2}{3}\)
B\(\frac{-5}{3}\)
C\(\frac{5}{3}\)
D\(\frac{2}{3}\)
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Question 25
jamb1994
Solve for r in the following equation \(\frac{1}{r - 1}\) + \(\frac{2}{r + 1}\) = \(\frac{3}{r}\)
A3
B4
C5
D6
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Question 26
jamb1994
If a = 1, b = 3, solve for x in the equation \(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)
A\(\frac{4}{3}\)
B\(\frac{2}{3}\)
C\(\frac{3}{2}\)
D\(\frac{3}{4}\)
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Question 27
jamb1994
Find the values of p and q such that (x - 1)and (x - 3) are factors of px3 + qx2 + 11x - 6
