1f P = {3, 4, 5, 6}, Q = {5, 6, 7, 8} and R = {2, 3, 7, 9). Which of the following represents the set P ∩ (Q U R)

Simplify 21_three x 21_three

If x is prime number, which of the following is a null set?

Simplify

Calculate 83 x 98, giving the answer in the standard form.

Factorise 12x² — 3y² completely.

Given that v = πh²(r − h/5)

Express r in terms of v, h and π.

What is the rule of the mapping x → y in the table below?

PQRST is a regular pentagon with centre O. The pentagon is given an anticlockwise rotation about O taking P to T. Find the angle of rotation.

Which of the following represents the truth set of the inequality 1/3 (x +2) > 2x—1?

There are 100 cars in a car park, 28 of them are blue and 34 red. If a car is selected at random from the car park, what is the probability that it is neither blue nor red?

The graph below shows a relation between x and y.

What is the least value of y for the curve?

he graph below shows a relation between x and y.

What is the set of value of x for which y = 0

he graph below shows a relation between x and y.

Find the value of y when x = −3.

Which of the following vector is parallel to the vector:

The pie chart shows the programme analysis of a television station. The station telecast 6 hours each day.

What is the size of the angle for VARIETY?

The pie chart shows the programme analysis of a television station. The station telecast 6 hours each day.

How many hours in a day does the station telecast DOCUMENTARY?

If 3x −7y = 2 and x − 2y = 4, what is the value of y?

The volume of a cone with base radius 6 cm, is 132 cm³. Calculate the height of the cone. Take π = 22/7.

The bearing of P from Q is 045°. What is the bearing of Q from P?

Find the truth set of 1/5(3x + 4) = 2

If 2025 = 3⁴ x 5², find the square root of 2025

Under a translation, the image of the point (5, 4) is (7, 1). What is the image of the point (1, -4) under the same translation?

In the diagram, ∠PRQ= 58°, ∠PQR= 80° and │SR│ = │RQ│. Calculate ∠QVT

S (4, 6) and R (12, 6) are points in the Cartesian plane. A point P (x, y) moves in the plane such that PS = PR. Find the locus of P.

If (3 x 10^4)/(8 x 10^-2) = 3.75 X 10^n. What is the value of n?

A pole and a stick stand vertically on a level ground. The stick is 25 cm long and casts a shadow of length 20 cm. If the pole casts a shadow of length 5 m, what is the height of the pole?

The volume of a cylindrical tank is 1,100 m. If the diameter of its base is 10 m, find its height. Take π = 22/7.

In the diagram, POQ, MON and OL are straight lines. ∠QOL = 60°. Calculate the value of x.

A point, P. moves in space such that it is always at a constant distance from a fixed point Q. What is the locus of P?

The diagram shows a circle with centre O. The angles a, b and c are as shown. Which of the following is/are true?

I. a = b

II. a = c

III. 2b = a

IV. b = a + c

Express

in its simplest form.

A house agent’s commission on the sale of a house is 7½ %. Calculate his commission on a house sold for ¢14,000,000.00.

The mean of the numbers 5, 2x, 4 and 3 is 5. Find x.

Convert 1120_five to base ten numeral.

A number is selected at random from the set of whole numbers 1 to 9 inclusive. What is the probability that the number is even?

In the diagram, PQRS is a circle with a centre O and ∠RQS = 40°. Calculate ∠PRS.

The marked price of a dress is 09,500.00. A discount of 10% is allowed for cash payment. How much does one save by paying cash for the dress?

From the graph below, find the equation of the line PQ.

In the diagram, PQR is a triangle with ST//PQ,  ∠RPQ = 80° and ∠QRP  = 70°. Calculate RST.

If sin x = 1/q which of the following is q equal to tan x.

The table below shows the distribution of ages of students in a class.

Calculate the mean age of the students.

The table below shows the distribution of ages of students in a class.

What is the modal age?

A sector of a circle of radius 14 cm subtends an angle of 54° at the centre. Calculate the area of the sector.

In the diagram, PQ//RS,  ∠QPT = 70°  ∠PTR=30° and  ∠TRS =x°. Find the value of x.

The point M is on the same level ground as the foot of a vertical pole. The angle of elevation of the top of the pole from M is 55°. If M is 10 m from the foot of the pole, calculate correct to the nearest metre, the height of the pole.

Find the median of the numbers 3, 3, 4, 5, 6, 7.

p

The diagram above represents a compound which is made up of a rectangle portion, 7m by 10m and a semi-circle portion. Calculate the perimeter of the compound.