The sum of the prime numbers between 40 and 50, divided by the sum of the prime numbers between 1 and 6 is

A trader bought 132 oranges at C30 each, and sold them at C42 each,
where C is the currency reckoned in base 4,
the profit is

If R = {x : x² = 16, x > 5},
then R is equal to

Find the real numbers n satisfying
n(3/n) + n > 2

Evaluate the integrals:

If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $,
the conversion rate of $ to N is $1 =

The gradient of the curve that passes through the point (1, -10) is given by 3x² - 6. Find the equation of the curve.

If (x - 3) < x/3,
then x is

The 8th term of the A.P.
-4, -2, 0... is

Find the value of

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The number 101.011₂ converted to base ten is equal to

Find the area bounded by the curve y =x(x - 1) and the line y = 3x

If x⁴-kx³ + 10x² + lx - 3 is divisible by (x-1) and if when it is divided by (x+2) the remainder is 27, find the constants k and l, respectively.

Solve the equation:
6(y - 4) + 3(y + 7) = 6

The first term of an A.P. is equal to one-half the common difference, d.
The 8th term of the A.P is

Find the number bases x and y from the following simultaneous equations
25_x - 23_y = 8₁₀

34_x - 32_y = 36₁₀

A housewife bought five tubers yam at W34 per tuber and three oranges at W5 each where W is the currency reckoned in base six.
The total amount spent by the housewife is

The radius r of a circular disc is increasing at the rate of 0.5 cm/s. At what rate is the area of the disc increasing when its radius is 6 cm?

For what range of values of y is
y - 1 > 4(y + 2)?

The following marks were obtained by candidates in an examination 

What percentage of the candidates scored above 70 marks?

The table below shows the frequency distribution of a number of pets in 25 houses 



Find the mean of the distribution

Differentiate wrt x:
x³(x - 1)

The weights to the nearest kg of a group of students are recorded in the following table

Calculate the mean weight

If the function f(x) = x³ + 2x² +qx - 6 is divisible by x + 1, find q

Find the derivative of h(x) =

Differentiate the function wrt x:

A curve has equation y = x³ -4x² - 3x + 18, find dy/dx

A body starting from the origin O moves in a straight line, and its  velocity, v m/s, after t s is given by v = 12 + 20t - 3t². Calculate the distance moved by the particle in 2 s.

Divide 6x² - 13x + 5 by 2x -1

Five years ago, a father was four times as old as his son.
In five years time the father will be twice as old as the son.
If x and y are the present ages of the father and the son respectively,
the equations relating x and y are:

A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%.
The ratio of the area of the rectangle to that of the square is

The 2nd and 5th terms of a G.P are 2/3 and 1/12 respectively.
The 1st term is

Find the remainder when 
3x³ + 5x² - 11x + 4 is divisible by x + 3

The acceleration of a moving particle at the end of t seconds is given by (5 - t) m/s². If the particle starts from rest, find its velocity at the end of 4 s?

A trader sold an article for N 660.00 at a profit of 20%.
In order to make a profit of 30%,
the article should have been sold for

Simplify

Find the remainder when
4x³+ 5x²- 4x+ 20 is divided by x+4

If I is the set of positive integers and
P = {x : x ∈ I, x² < 10 and x ≠ 0}, then

P is directly proportional to M and inversely proportional to N.
If P = 9 when M = 24 and N = 8,
find the value of P when M = 5 and N = 6

The weights to the nearest kg of a group of students are recorded in the following table

Calculate the difference between the mean deviation and the standard deviation

If
find|AB|

The integral values of z which satisfy the inequalitiy
-1 < 2z - 5 ≤ 5 are

Differentiate the functions wrt x:
(x-2)(3x+5)

The marks scored by students in a test are recorded in the table below

Calculate the standard  deviation

If 4/3, m, 1, n form  a G.P,
the product of m and n is