Question 1 of 20 47 total questions
Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.
A \(\begin{pmatrix} 3 & -3 \\ 8 & 2 \end{pmatrix}\)
B \(\begin{pmatrix} 3 & 3 \\ 8 & 2 \end{pmatrix}\)
C \(\begin{pmatrix} -2 & 2 \\ 2 & 2 \end{pmatrix}\)
D \(\begin{pmatrix} -2 & 3 \\ 3 & 2 \end{pmatrix}\)
The gradient of a line joining (x,4) and (1,2) is \(\frac{1}{2}\). Find the value of x
Find the mid point of S(-5, 4) and T(-3, -2)
A -4, 2
B 4, -2
C -4, 1
D 4, -1
A cylindrical tank has a capacity of 6160m3 . What is the depth of the tank if the radius of its base is 28cm?
How many sides has a regular polygon whose interior angle is 135°?
Find the value of \(\begin{vmatrix}0 & 3 & 2 \\1 & 7 & 8 \\0 & 5 & 4\end{vmatrix}\).
If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = - 12\), find x.
Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)
A binary operation * is defined by x * y = xy . If x * 2 = 12 - x, find the possible values of x
What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?
A \(\sqrt{2}\)
B \(\sqrt{5}\)
C 3
D 5
The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.
Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
A \(x \geq 4\)
B \(x \leq 3\)
C \(x \geq -3\)
D \(x \leq -4\)
What is the solution of \(\frac{x - 5}{x + 3} < -1\)?
A -3 < x < 1
B x < -3 or x > 1
C -3 < x < 5
D x < -3 or x > 5
P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
A \(P = \frac{Q}{12R}\)
B \(P = \frac{12Q}{R}\)
C \(P = 12QR\)
D \(P = \frac{12}{QR}\)
y varies directly as w2 . When y = 8, w = 2. Find y when w = 3
Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6
Factorize 2y2 - 15xy + 18x2
A (2y - 3x) (y + 6x)
B (2y - 3x) (y - 6x)
C (2y + 3x) (y - 6x)
D (3y + 2x) (y - 6x)
If gt2 - k - w = 0, make g the subject of the formula
A \(\frac{k + w}{t^2}\)
B \(\frac{k - w}{t^2}\)
C \(\frac{k + w}{t}\)
D \(\frac{k - w}{t}\)
If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q
Evaluate Log2 8 + Log2 16 - Log2 4
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