Question 1 of 20 135 total questions
Find the variance of 2, 6, 8, 6, 2 and 6
If 6 Pr = 6, find the value of 6 Pr+1
Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?
Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is
Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.
Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
A square of sides p
B square of sides 2p
C square of sides (p/2)
D square of sides (p/4)
If y = x sinx, find dy/dx when x = π/2.
Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
Find the area bounded by the curves y = 4 - x2 and y = 2x + 1
A 20(1/3) sq. units
B 20(2/3) sq. units
C 10(2/3) sq. units
D 10(1/3) sq. units
Differentiate \((2x+5)^{2} (x-4)\) with respect to x.
A 4(2x+5)(x-4)
B 4(2x+5)(4x-3)
C (2x+5)(2x-13)
D (2x+5)(6x-11)
Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)
A 3/5(2x-3)5/3 + k
B 6/5(2x-3)5/3 + k
C 2x-3+k
D 2(2x-3)+k
If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.
The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.
Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.
A y = 4 \(\pm\) k
B y = k \(\pm\) 4
C y = 4 + k
D y = k - 4
A cylindrical tank has a capacity of 3080 m3 . What is the depth of the tank if the diameter of its base is 14 m?
The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
A 6.5 units
B 13.0 units
C 3.5 units
D 7.0 units
Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).
A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.
A y = (x/10) + 5
B y = x + 5
C √3y = - x + 5√3
D √3y = x + 5√3
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