Simplify: √108 + √125 - √75

Evaluate: (64¹⸍² + 125¹⸍³)²

. Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

Find x for 32₄ = 22ₓ

Simplify: 2(1/4) x 3 (1/2) ÷  4(3/8)

There are 250 boys and 150 girls in a school. If 60% of the boys and 40% of the girls play football, what percentage of the school play football?

If F = (9/5)C + 32, find C when F = 98.6.

If y + 2x = 4 and y - 3x = -1, find the value of (x + y).

If x: y: z = 2 : 3: 4, evaluate {9x + 3y}/{6z - 2y}.

Simplify: {2 - 18m²}/{1 + 3m}

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

The volume of a cylindrical tank, 10m high, is 385m³. Find the diameter of the tank. [Take π = 22/7]

The surface area of a sphere is 792/7cm². Find, correct to the nearest whole number, its volume. [Take π = 22/7]

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Takeπ = 22/7]

In the diagram above , which of the following ratios is equal to |PN| / |PQ|?

In the diagram above, PS and RS are tangents to the circle centre O, < PSR = 70º, <POR = mº and < PQR = nº. Find (mº + nº).

Find the value of t in the diagram above.

In the diagram, PR is a tangent to the circle at Q, QT // RS, < SQR = 35º and <RSQ = 50º.

Find the value of < QSR

The angles of a polygon are x, 2x, (x+30)º, (x+20)º and (x-10)º. Find the value of x.

If M and N are the points  (-3, 8) and (5, -7) respectively, find |MN|.

The equation of the line through (4, 2) and (-8, -2) is y = px + q.  Find the value of p.

The angle of elevation of the top of a tree from a point 27m away is 30°. Find the height of the tree.

If tan x = 4/3, 0º < x < 90º; find the value of sin x - cos x.

Given that Y is 20m on a bearing of 300° from X, how far south of Y is X?

The mean of 1, 3, 5, 7 and x is 4. Find the value of X.

Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2.

The table above shows the distribution  of goals scored by 25 teams in a football competition. use it to answer question  28 and 29.

Calculate the probability that a team selected at random scored at most 3 goals.

The table above shows the distribution  of goals scored by 25 teams in a football competition. use it to answer question  28 and 29.

Find the probability that a team selected at random scored either 4 or 7 goals.

In the diagram above, WXYZ is a rectangle with dimension 8cm by 6cm. P,Q<R and S are midpoint of the sides of the rectangle as shown . use this information to answer questions 30 and 31.

What type of quadrilateral is the shaded region?

In the diagram above, WXYZ is a rectangle with dimension 8cm by 6cm. P,Q<R and S are midpoint of the sides of the rectangle as shown . use this information to answer questions 30 and 31.

Calculate the area of the part of the rectangle that is not shaded.

25cm²  24cm²   16cm²   12cm²

The total surface area of a hemisphere is 75πcm². Find the radius.

* A. 5.0cm B. 7.0cm C. 8.5cm D. 12.0cm

Find the value of x for which {x-5}/{x(x-1)} is undefined.

Solve the equation 2x² - x - 6 = 0.

Factorise completely the expression (x+2)² - (2x+1)²

Find the nth term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...

If 3x = 4 (mod 5), find the least value of x.

The solution of x+2 ≥ 2x+1 is illustrated by

If p and q are two statements, under what condition would p: q be false?

The diagram shows a trapezium inscribed in a semi circle. if O is the mid point of WZ and |WX| = |YZ|, calculate the value of mº.

Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16.

How much was the total donation?

In the diagram , PQ is a straight line, (m+n) = 110º, (n+r) = 130º and (m+r) = 120º.

Find the ratio of m:n:r.

If x: y = 1/4 : 3/8 and y: z = 1/3 : 4/9, find x: z.

Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45.

M and N are two subsets of the universal set (U). If n(U) = 28, n(M) = 20, n(N) = 30 and n(M ∪ N) = 40, find n(M ∩ N)′.

Express 0.612 in the form x/y, where x and y are integers.

In the diagram above PQ//RS, find xº in terms of yº and zº.

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter.

The graphs of y = x² and y = x intersect at which points?