WAEC Mathematics Moonstone I

If {x : 2 ≤ x ≤ 18 : x  integer}  and 7 * 4 (mod 9), find the highest value of x

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

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $O.075 to ₦1.00, how much did the engine cost in naira?

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

Given that log_x⁶⁴ = 3,  evaluate xlog₂⁸

If  2ⁿ = y, find

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

Find the  equation whose roots are 3/4 and4

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

Evaluate

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

Ada draws the graphs of y = x² – x – 2 and 2x – 1 on the same axes. Which of these equations is she solving?

The volume of a cone of height 3cm is 38½cm³ . Find the radius of its base [Take π = 22/7]

A Sector of a circle with radius 6cm subtends an angle of 60 at the centre Calculate its perimeter terms of π

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

In the diagram above, O is the centre of the circle. If PQ//RS and LONS = 140°, find the size LPOM

In the diagram, PTR 1s a tangent to the circle centre O. If angle TON = 108°, calculate the size of angle PTN.

In the diagram, PQ//RT, QR//SU LPQR = 48^o and LRIS = r° Find the value of x°.

n the diagram above, O is the centre of the circle, line RT is a diameter, LPQT = 33° and LTOS = 76°.

Calculate the value of angle PTR

In the diagram above, O is the centre of the circle, line RT is a diameter, LPQT = 33° and LTOS = 76°.

Find the size of angle PRS

The table below shows values for a linear graph

Find the gradient of the line

What is the value of y when x = 2?

Given that tan x = 2/3, where 0° ≤ x ≤ 90°, find the value of 2 sin x

PQRS is a square. If X is the mid-point of PQ, calculate correct to the nearest degree, LPXS

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

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.

The scores of twenty students in 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?

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

The probabilities that Kenna, 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.

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

Tom will be 25 years old in a year’s time. If he is 5 years younger than Bade, find Bade’s Present age.

Simplified as m + n √6, find the value of (m + n)

In the diagram, line QT and line PR are straight lines, LROS = (3n° – 20°), LPOT = 2m°, LSOT = n° LPOL = m° and 2QOL is a Right angle. Find the value of n°

Make k the subject of the relation

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

The area of a rhombus is I10cm2 In the diagonals are 20 and (2x + 1)cm
long, find the value of x

Simplify

Illustrate graphically, the solution

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

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

A trader bought 100 oranges at 5 for ₦40.00 and sold them at 20 for ₦120.00. Find the profit or loss percent.

Describe the shaded portion in the diagram above

Find the value of p if 1/4 p + 3q = 10 and 2p – 1/3q = 7

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

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

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

A letter is selected from the letter of the English alphabet. What is the probability that the letter selected is from the word “MATHEMATICS”

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

Consider the following statements

X: Locally manufactured tyres are attractive

Y: Many locally manufacture a tyres do not last long.

Denoting locally manufacture tyres by M, attractive tyres by R and long lasting tyres by L, which of  these Venn diagrams illustrates the statements?

In the diagram above, line OX bisects LXYZ and line OZ bisects LYZX. If LXYZ = 68°, calculate the value of LXOZ