Stage 8 - Q1 - 2 marks
Simplify \(0.6:1.5\).
Hint
Clear one decimal place.
Stage 8 - Q2 - 2 marks
Simplify \(0.24:0.36\).
Hint
Multiply both terms by one hundred.
Stage 8 - Q3 - 2 marks
Simplify \(1.2\text{ m}:80\text{ cm}\).
Hint
Convert metres to centimetres.
Stage 8 - Q4 - 2 marks
Simplify \(0.75\text{ kg}:250\text{ g}:1.5\text{ kg}\).
Hint
Convert every mass to grams.
Stage 8 - Q5 - 2 marks
Three tasks take 1 h 20 min, 50 min and 2 h. Find their time ratio.
Hint
One hour is sixty minutes.
Stage 8 - Q6 - 3 marks
Three identical bags of flour weigh 0.9 kg. Four identical bags of rice weigh 1.4 kg. Which single bag is heavier, and by how much?
Hint
Compare equal numbers of bags, not the total masses.
Stage 8 - Q7 - 3 marks
Find \(x\) if \(0.6\text{ kg}:x\text{ g}=3:4\).
Hint
The unit labels make the first conversion essential.
Stage 8 - Q8 - 4 marks
A pupil writes \(2\text{ h }15\text{ min}:90\text{ min}=2.15:1.5=43:30\). Find the error and correct the ratio.
Hint
Convert the mixed duration to minutes before checking the decimal.
Stage 8 - Q9 - 4 marks
Two tanks contain 1.2 litres and 750 ml. The same 150 ml is removed from each. Find the ratio of the remaining amounts and explain why it differs from the original ratio.
Hint
Equal subtraction is not the same operation as equal multiplication.
Stage 8 - Q10 - 5 marks
Mix A contains 0.6 litres of red and 900 ml of white paint. Mix B has red : white = \(1:2\). Equal volumes, 1.5 litres of each mix, are combined. Find the final red : white ratio.
Hint
Find actual red and white volumes in both mixes. Do not add the ratio terms directly.