Perimeter and Area
Accuracy and Bounds
Circles
Surface Area
Volume
100

What is the formula for the area of a triangle? (Be specific)

base x perpendicular height

100

The length of a fence is 137 metres, correct to the nearest metre.

Write down the upper bound for the length of the fence.

137.5m

100

What is the radius of a circle with circumference 9π cm?

4.5

100

What is the surface area of a cube of side length 3cm?

54cm

100

What is the formula for the volume of a sphere?

4/3 * pi * r3

200

What is the formula for the area of a trapeqzium?

1/2(a+b)h

200

Something weighs 8kg, with an error interval of 5%. Give the upper and lower bound of the interval.

lower = 7.6kg and upper = 8.4kg

200

What is the radius of a circle whose area is the same as its circumference?

2

200

What is the formula for the area of the curved side of a cone?

pi*r*l

200

A triangular prism has a height of 20cm, a base width of 0.4m, and a length of 40cm.

What is the volume of the prism in cm3


16000cm3

300

One of these triangles is picked at random.

Work out the probability that its perimeter is less than 30 cm

1/3

300

A length L is 0.27mm after being rounded to 2 decimal places.

Determine the error interval of L, with the correct inequality signs

0.265<=L<0.275

300

What is the circumference of a circle with area 50cm2. Give your answer to three significant figures.

25.1

300

A right-angled triangular prism has height 4cm, base 3cm and length 6cm. What is the surface area of the prism?

84cm2

300

The radius of the pictured cone is 2x and the height 4. Determine its volume, giving your answer as an exact simplified expression in terms of

16/3*pi*x2

400

The parallelogram and trapezium below have the same height and the same area. What is the value of x?

11

400

The length of a rectangle is 5.65 correct to 2 d.p. and the width is 18.4 to 1 d.p.

What is the upper bound of the perimeter?

48.21cm

400

What is the perimeter of a semi-circle with radius of 5cm?

25.71cm


400

Find the total surface area of the cylinder with radius 2cm and height of 5cm, leaving your answers in terms of pi

28pi

400

A cylinder, of an unknown height and diameter 4m, is full of water.

All of the water in the cylinder is poured into an empty cube, with side length 3m. The cube is now 70% full.

Calculate the height of the cylinder.
Give your answer to 1 decimal place

1.5m


500

Determine the area of the shaded region.

50cm2

500

The length of a rectangle is 9 correct to the nearest whole number and the width is 20 to the nearest 10.

What is the lower bound of the area?

127.5

500

Area of a sector is 49cm2 with radius of 8cm. What is the angle of the sector?

87.7o
500

Find the diameter of a hemisphere which has total surface area of 48picm2

8cm

500

A child's toy is in the shape of a cube with a pyramid on top, as shown in the diagram.

The toy is 11 centimetres wide and 18 centimetres high.

Calculate the volume of the toy.

Give your answer correct to 2 significant figures

1600cm3