# 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 64cm3. While that of the cuboid is 80cm3. 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 512cm3.Find the length of its side

Question

The area of a sector of a circle with diameter 12cm is 66cm2. 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 704cm2. If the Radius of its base is 8cm. Find the height? [Take $\pi =\tfrac{22}{7}$]

Question 48

The volume of a cuboids is 54cm3, 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 m3. 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 40cm2. 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 110cm2. Find the radius of its base [Take$\pi =\tfrac{22}{7}$]

Question 17

The volume of a pyramid with height 15cm is 90cm3. 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 cm2 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 = 1000cm3)

Question 18

If the volume of a cube is 343cm3. 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 cm2 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. 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 60o 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 1200cm3 and the area of its base is 150cm2. 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