Waecmaths
| Title | waecmaths question |
|---|---|
| Question 15 |
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| 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 110.25m2. 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 |
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
