Mathematics - IGCSE

A student measure the volume of a small irregularly-shaped stone. Which apparatus must be used?

• a measuring cylinder containing water and a ruler only

• a measuring cylinder containing water only

• an empty measuring cylinder and a ruler only

• a ruler only

The graph shows how the speed of an object changes with time.

How far does the object travel in 10 seconds?

• 8 m

• 10 m

• 40 m

• 80 m

A car travels at an average speed of 60 km/h for 15 minutes. How far does the car travel in 15 minutes?

• 4.0 km

• 15 km

• 240 km

• 900 km

Which quantity is a force due to a gravitational field?

• density

• mass

• weight

• volume

The density of air is $1.2kg/m^3$  . A room has dimensions $5.0\ m\ \times\ 4.0\ m\ \times\ 3.0\ m$  . What is the mass of the air in the room?

• 0.02 kg

• 0.10 kg

• 50 kg

• 72 kg

Which does not transfer useful energy?

• emitting a sound wave

• measuring a temperature

• passing an electric current

• pushing a box along the floor

The diagram shows four labelled changes of state between solid, liquid and gas.

Which changes need an energy input?

• P and Q

• Q and R

• R and S

• S and P

Plane water waves approach a narrow gap in a barrier.

Which diagram shows the diffraction pattern that would occur?

• 
• 
• 
• 

Where must a fuse be connected in a mains electric circuit?

• the earth wire only

• the live wire only

• the neutral wire only

• the live wire and the earth wire

The diagram shows a lamp.

Changing which feature increases the stability of the lamp?

• a larger lampshade

• a longer pole

• a heavier base

• a higher centre of mass