Waecmaths
Title  waecmaths question 

Question 15 
In the diagram PRST is a square. If $\left PQ \right=24cm,\text{ }\left QR \right=10cm\text{ and }\angle PQR={{90}^{\circ }}$ , find the perimeter of the polygon PQRST 
Question 18 
A cube and a cuboid have the same area. The volume of the cube is 64cm^{3}. While that of the cuboid is 80cm^{3}. Find the height of the cuboid 
Question 46 
A pyramid has a rectangular base with dimension 12m by 8m. If its height is 14m. Calculate the volume 
Question 47 
The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole numbers, the volume of the cone [Take $\pi =\tfrac{22}{7}$] 
Question 48 
The distance between two towns is 50km, it is represented on a map by 5cm. Find the scale used 
Question 50 
An open cone with base radius 28cm and perpendicular height 96cm was stretched to form a sector to form a sector of a circle. Calculate the area of the sector. [Take $\pi =\tfrac{22}{7}$] 
Question 3 
The volume of a cube is 512cm^{3}.Find the length of its side 
Question 
The area of a sector of a circle with diameter 12cm is 66cm^{2}. If the sector is folder to form a cone, calculate the radius of the base of the cone. [Take $\pi =\tfrac{22}{7}$] 
Question 50 
The radii of the base of two cylindrical tins P and Q are r and 2r respectively. If the water level in P is 10cm high. What would be the height of the same quantity of water in Q 
Question 15 
The curve surface area of cylindrical tin is 704cm^{2}. If the Radius of its base is 8cm. Find the height? [Take $\pi =\tfrac{22}{7}$] 
Question 48 
The volume of a cuboids is 54cm^{3}, if the length, width, and height of the cuboid are in the ratio 2: 1:1. respectively. Find its total surface area 
Question 49 
A side and diagonal of a rhombus are 10cm and 12cm respectively. Find its area 
Question 9 
A cylindrical container has a radius of 14cm and height 18cm.How many litres, correct to the nearest litres, of liquid can it hold? [Take $\pi =\tfrac{22}{7}$] 
Question 22 
The height of a cylinder is equal to its radius. If the volume is 0.216π m^{3}. Calcualte the radius 
Question 41 
A rectangle garden measures 18.6m by 12.5m. Calculate to three significant figures, the area of the garden 
Question 42 
John pours 96litres of red oil into rectangular container with length 220cm and the breadth 40cm. calculate, correct to the nearest cm, the height of the oil in the container. 
Question 17 
An empty rectangular tank is 250cm long and 120 cm wide. If 180 litres of water is poured into the tank, calculate the height of the water. 
Question 24 
A rectangle has length xcm and width (x – 1)cm. if the perimeter is 16cm, find the value of xcm 
Question 34 
In the diagram, $\left EF \right=8cm$ $\left FG \right=xcm$ $\left GH \right=(x+2)cm$ , $\angle EFG={{90}^{\circ }}$ If the area of the shaded portion is 40cm^{2}. Find the area of $\Delta EFG$ 
Question 41 
The diagram is a et of a right rectangular pyramid. Calculate the total surface area. 
Question 42 
The diagram shows a rectangular cardboard from which a semi – circle is cut off. Calculate the area of the remaining part 
Question 16 
The curved surface surface of a cylinder 5 cm high is 110cm^{2}. Find the radius of its base [Take$\pi =\tfrac{22}{7}$] 
Question 17 
The volume of a pyramid with height 15cm is 90cm^{3}. If its base is a rectangle with dimensions xcm by 6cm, find the value of x 
Question 34 
A sphere of radius r cm has the same volume as the cylinder of radius 3cm and height 4cm. Find the value of r 
Question 36 
In the diagram, MOPQ is a trapezium with $QP\parallel MO,$$MQ\parallel NP$$NQ\parallel OP$. $\left OP \right=9cm$and the height of $\vartriangle QNP=6cm$. Calculate the area of the trapezium 
Question 37 
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. Take [$\pi=\tfrac {22}{7}$ ]. 
Question 17 
PQRS is a trapezium. $QR\parallel PS,\text{ }\left QR \right=6cm,\text{ }\left PS \right=10cm\text{ and }\angle QPS={{42}^{\circ }}$
Calculate the perpendicular distance between the parallel between the parallel sides 
Question 18 
PQRS is a trapezium. $QR\parallel PS,\text{ }\left QR \right=6cm,\text{ }\left PS \right=10cm\text{ and }\angle QPS={{42}^{\circ }}$
Calculate; correct to the nearest cm^{2 }the area of the trapezium

Question 33 
The capacity of a water tank is 1,800 litres. If the tank is in the form of a cuboid with base 600cm by 150cm, find the height of the tank 
Question 40 
A bucket holds 10 litres of waters. How many buckets of water will fill a reservoir of size 8m × 7m × 5m(1 litres = 1000cm^{3}) 
Question 18 
If the volume of a cube is 343cm^{3}. Find the length of its side 
Question 19 
In the diagram PQRS is a rhombus$\left PR \right=10cm\text{ and }\left QS \right=24cm$. Calculate the perimeter of the rhombus. 
Question 36 
What is the length of an edge of a cube whose total surface is X cm^{2} and whose volume is $\tfrac{x}{2}c{{m}^{2}}$ 
Question 38 
If the perimeter of ΔPQR in the diagram is 24cm, what is the area of ΔPRS? 
Question 14 
The area of a square field is 110.25m^{2}. Find the cost of fencing it round as N75.00 per metre 
Question 16 
A sector of a circle of radius 14cm containing an angle of 60^{o} is folded to form a cone. Calculate the radius of the base of the cone 
Question 18 
Find the volume of a solid cylinder with base radius 10cm and height 14cm (take $\pi =\tfrac{22}{7}$) 
Question 47 
Two circles have radii 16cm and 23cm. What is the difference between their circumferences? (take $\pi =\tfrac{22}{7}$) 
Question 48 
The volume of a cylinder is 1200cm^{3} and the area of its base is 150cm^{2}. Find the height of the cylinder 
Question 50 
In the diagram O is the centre of circle and PQ is a diameter. Triangle of RSQ is an equilateral triangle of side 4cm. Find the area of the shaded region 