Waecmaths

Title waecmaths question
Question 11

In the diagram PQUV, PQTU, QRTU and QRST are parallelograms. $\left| UV \right|=4.8cm$ and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV 

Question 32

A conical water–jug is 7cm in diameter and 6cm deep. Find the volume of water it can hold [Take $\pi =\tfrac{22}{7}$ ]

Question 33

In the diagram, the two circles have a common a centre O, if the area of the larger circle is 100π and that of the smaller circle is 49 π. Find x 

Question 40

The diagram shows an arc MN of a circle centre O, with radius 10cm, If $\angle MON={{72}^{\circ }}$ Calculate the length of the arc, correct to three significant figures. [Take $\pi =\tfrac{22}{7}$]

Question 41

The wheel of a tractor has diameter 1.4m, what distance does it cover in 100complete revolution? [Take $\pi =\tfrac{22}{7}$]

Question 45

A rectangular carpet 2.6m long and 2.4 wide covers 5% of rectangular floor. Calculate the area of the floor.

Question 13

The volume of a cone of height 3cm is $38\tfrac{1}{2}$cm2. Find the radius of its base [Take $\pi =\tfrac{22}{7}$]

Question 14

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

Question 15

The dimensions of a rectangular tanks are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tanks of height 4cm. Calculate the base radius of the cylindrical tank [Take $\pi =\tfrac{22}{7}$]

Question 36

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

Question 45

In the diagram, 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

Question 20

What is the diameter of a circle of area 77cm2 (take $\pi =\tfrac{22}{7}$ ) 

Question 27

The figure shows a quadrilateral PQRS having equal sizes and opposites sides parallel. The diagonal PR  and OS intersected perpendicularly at O, which of the following statements cannot be correct

Question 29

What is the total surface area of a closed cylinder of height 10cm and diameter 7cm (Take $\pi =\tfrac{22}{7}$)

Question 39

The total surface area of the walls of a room, 7m long, 5m wide and xm high is 96m2. Find the value of x

Question 47

A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of sides 2cm can be nearly packed into the pack

Question 15

Water flows out of a pipe at a rate of 40πcm3 per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds

Question 16

The dimension of a water are 13cm, 10cm, and 70cm . If it is half-filled with water. Calculate the volume of water in litres.

Question 17

If the total surface area of a solid hemisphere equal to its volume. Find the radius

Question 39

The diagonal of a square is 60cm. Calculate its perimeter.

Question 48

A circular pond of radius 4m has a path of with  2.5m round it. Find, correct to two decimal places, the area of the path[Take $\pi =\tfrac{22}{7}$ ]

Question 13

The volume of a cylindrical tank, 10m high is 385m3. Find the diameter of the tank [Take $\pi =\tfrac{22}{7}$]

Question 14

The surface area of a sphere is $\tfrac{792}{7}c{{m}^{2}}$. Find, correct to the nearest whole number, its volume [Take $\pi =\tfrac{22}{7}$]

Question 15

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector.[Take $\pi=\tfrac(22/7)]

Question 31

In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q,  R and S are the midpoint s of the sides of the rectangle as shown.

Calculate the area of the part of the rectangle that is not shaded

Question 32

The total surface area of a hemisphere is 75π cm2. Find its radius

Question 49

The diagonal of a rhombus WXYZ intersect at M if and , calculate the perimeter

Question 22

The total surface area of a solid cylinder is 165cm2. If the base diameter is 7cm, calculate its height [Take $\pi =\tfrac{22}{7}$] 

Question 26

An arc subtends an angle of 72o at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5cm [Take $\pi=\frac{22}{7}$

Question 29

. Find the angle which an arc of length 22cm subtends at the centre of a circle of radius 15cm [Take $\pi =\tfrac{22}{7}$]

Question 30

A rectangular board has length 15cm and width xcm. If its sides are doubled, find its new area.

Question 39

 

In the diagram O is the centre of the circle of radius 18cm . If $\angle ZXY=70{}^\circ $, Calculate the length of arc ZY [Take $\pi =\tfrac{22}{7}$]

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