w maths 15

In the diagram, PQ//RT, QR//Su, calculate the angle of x.

The area of a rhombus is 110 cm². If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

In the diagram, O is the centre, RT is a diameter, < PQT = 33° and

The sum 11011₂, 11111₂ and 10000₂ is 10m10n0₂. Find the value of m and n.

In the diagram, O is the centre of the circle, RT¯ is a diameter, < PQT = 33° and < TOS = 76°. Using the diagram, find the value of angle PTR.

A farmer uses 2/5 of his land to grow cassava, 1/3 of the remaining for yam and the rest for maize. Find the part of the land used for maize.

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?

The table given shows some values for a linear graph. Find the gradient of the line

The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?

If , find the value of x.

PQRS is a square. If x is the midpoint of PQ, calculate correct to the nearest degree,

A trader bought 100 oranges at 5 for N40.00 and sold them at 20 for N120.00. Find the profit or loss percent.

Find the 7th term of the sequence: 2, 5, 10, 17, 26,...

The angle of elevation of an aircraft from a point K on the horizontal ground 30α. If the aircraft is 800m above the ground, how far is it from K?

Describe the shaded portion in the diagram

If 2ⁿ=y, find

The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students.

Find the value of p if and 2p - 13q = 7.

Factorize completely: 6ax - 12by - 9ay + 8bx

The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.

Calculate the mean deviation of 5, 3, 0, 7, 2, 1

Find the equation whose roots are 3/4 and -4

The table shows the distribution of the scores of some students in a test. Calculate the mean scores.

In the diagram, the shaded part is carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find area of the margin

If m = 4, n = 9 and r = 16., evaluate .

The probability that kebba, Ebou and Omar will hit a target are 2/3, 3/4 and 4/5 respectively. Find the probability that only Kebba will hit the target.

Two angles of a pentagon are in the ratio 2:3. The others are 60° each. Calculate the smaller of the two angles

Adding 42 to a given positive number gives the same result as squaring the number. Find the number

In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|

A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS?

Ada draws the graph of and y = 2x - 1 on the same axes. Which of these equations is she solving?

In a circle radius rcm, a chord 16√3 cm long is 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r.

The volume of a cone of height 3cm is . Find the radius of its base. [Take π=22/7]

If is simplified as , find the value of (m + n).

In the diagram, OX bisects < YXZ and OZ bisects < YZX. If < XYZ = 68°, calculate the value of < XOZ

The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take π=22/7]

In the given diagram, QT and PR are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.

In the diagram, O is the centre. If PQ//RS and ∠ONS = 140°, find the size of ∠POM.

Make K the subject of the relation .

In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN.

Which of the following is used to determine the mode of a grouped data?