Volume, Surface Area & Factorising

Cones

100

Find the volume of a cone that has a radius of 14 mm and a height of 23 mm.  Round to the nearest tenth.

4,720.8 mm³ 

200

Find the volume of a cone that has a diameter of 4 cm and a height of 13.3 cm.  Round to the nearest tenth.

55.7 cm³ 

300

Find the Surface Area of a cone that has a radius of 1.1m and a slant length of 3.8m.  Round to the nearest tenth.

16.9m²

400

Find the surface area of a cone with a radius of 3mm and a height of 4mm. Round to 3 significant figures.

75.4mm²

500

An ice cream cone when filled to the brim contains 250ml of ice cream. The top has a radius of 2.5cm. what is the height of the cone in cm to 2dp?

12.73cm

Spheres

100

Find the volume of a sphere that has a radius of 5.5 cm.  Round to 1 decimal place.

696.9 cm³ 

200

Find the surface area of a sphere that has a radius of 9m.  Round to the nearest tenth.

1017.9 m²

300

Find the volume of a sphere that has a diameter of 14 meters.  Round to the nearest tenth.

1,436.8 m³ 

400

Find the volume of a hemisphere that has a radius of 8 millimeters.  Round to the nearest tenth.

1,072.3 mm³ 

500

Find the Surface Area of a hemisphere that has a diameter of 15 km.  Round to 4 significant figures.

530.1 km³ 

Cylinders

100

Find the Volume of a cylinder with a diameter of 3m and a height of 18m. Give your answer in terms of pi.

162(pi) m² 

200

Find the Surface area of a cylinder with a radius of 8cm and a height of 22cm. Round to the nearest tenth.

1,105.8 cm² 

300

Find the surface area of a cylinder with a diameter of 16 cm and a height of 22 cm. Round to the nearest tenth.

1,508.0 cm² 

400

Find the height of a cylinder with a radius of 3mm and surface area 60mm². Round to 3 significant figures.

1.68 mm

500

A cylindrical tube holds 3 litres of water and is 1m long. What in the radius in cm to 2 decimal places?

 3.09 cm

Factorising

100

Factorise x² + 5x

x(x+5)

200

Factorise x² - 100

(x-10)(x+10) 

300

Factorise x² - 3x - 40

(x-8)(x+5)

400

Factorise 2x² - 4x - 48

2(x + 4) ( x - 6)

500

Factoise: 3x² - 2x - 8

(3x - 4) (x + 2)

Units and Accuracy

100

Convert 60cm into m

0.6m

200

What is the lower limit of accuracy of 7.8 cm 

7.75cm

300

Convert 500mm² into m²

0.0005 m²

400

Calculate the limits of accuracy for the volume of a cylinder with radius 5cm (nearest cm) and height 4cm (nearest cm). Give your answer to 1 decimal place.

 LB = 222.7 cm³

UB = 427.6 cm³

500

James goes for a run. He complete 10 Km (nearest Km) in 45 minutes (nearest minute). What are the limits of accuracy of his speed to 1dp.

UB = 14.2

LB = 12.5