Express fractions as ratios
Express each of the given fractions as a part to whole ratio
Express percentages as ratios
Express each of the given percentages as a part to whole ratio
Express decimals as ratios
Express each of the given decimals as a part to whole ratio
Equivalent ratios
Identify the ratios that are equivalent e.g. 1:2 and 3:6
Express ratios as fractions
Express part to part ratios as fraction proportions of the whole
Express ratios as percentages
Express each part to whole ratio as a part to whole percentage
Specific parts and quantity
Pair up specific quantities with specific parts
Increase by a percentage
Derive the actual increase from the percentage increase and add it to the original quantity or amount
Decrease by a percentage
Derive the actual decrease from the percentage decrease and subtract it from the original quantity
Express as a percentage
Express quantities as percentages by creating a fraction and multiplying by 100
Calculate percentage increase
Get the percentage increase by expressing the increase as a fraction of the original and multiplying by 100
Calculate percentage decrease
Get the percentage decrease by expressing the decrease as a fraction of the original and multiplying that amount by 100
Express quantities as % with calculator
Express quantities of wholes as percentages by converting to a fraction and multiplying by 100 to (1 d.p.)
Increase by % with calculator
Derive the actual increase from the percentage increase and add it to the original quantity or amount (to 1 d.p.)
Decrease by % with calculator
Calculate the new quantity or amount by using a decimal multiplier; answers to 2 d.p.
Direct proportion problems
Solve problems involving direct proportion where two quantities increase at the same rate
Inverse proportion problems
Solve problems involving inverse proportion where one quantity increases as the other decreases (to 2 d.p.)
Directly or inversely proportional
Identify which of the graphs and equations are directly proportional, inversely proportional or neither
Calculate speed
Use the speed formula speed s = distance d / time t to calculate speeds to 1 d.p.
Calculate distance, time
Re-arrange the speed formula to calculate distance or time to 1 d.p.
Speed from a graph
Using speed time graphs find the speed at the given time
Fastest speed, slowest speed
Using speed time graphs identify the highest speed or the lowest speed attained
Calculate density
In each instance calculate the density using the density formula d = mass / volume to 1 d.p.
Unit price: best value
Identify the better value for money option by doing unit price calculations
Actual distance
Work out the real distance between two points represented on maps and scale diagrams (to 2 d.p.)
Distance on a map or diagram
Use a scale and an actual distance to work out the distance between 2 points on a map or scale diagram to 2 d.p.
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