Stage 8 - Q1 - 2 marks
Red : blue is \(3:5\). What fraction is red?
Hint
Count all parts in the denominator.
Stage 8 - Q2 - 2 marks
Orange : apple is \(2:3\). What fraction is apple?
Hint
The second part is apple.
Stage 8 - Q3 - 2 marks
Four identical notebooks cost 18 USD. Find the cost of ten.
Hint
Use the cost of one notebook.
Stage 8 - Q4 - 2 marks
A recipe for six cakes uses 150 g of flour. How much flour is needed for fourteen cakes?
Hint
Assume the recipe scales directly with the number of cakes.
Stage 8 - Q5 - 3 marks
Girls are \(\frac5{12}\) of a class. Write boys : girls in simplest form.
Hint
Find the complementary fraction before writing the requested order.
Stage 8 - Q6 - 3 marks
Two drinks use syrup : water ratios \(3:7\) and \(2:5\). Which has a greater syrup proportion? Justify without rounding.
Hint
Ratios are part-to-part. Convert each to a part-to-whole fraction.
Stage 8 - Q7 - 4 marks
Red counters are \(\frac58\) of a bag. There are 21 blue counters and no other colours. Find the total number of counters.
Hint
Use the complement of the red fraction.
Stage 8 - Q8 - 4 marks
Red : blue is \(3:5\). There are more than 50 but fewer than 60 counters. Find each colour count.
Hint
First restrict the possible total using the sum of the ratio terms.
Stage 8 - Q9 - 5 marks
Red : blue is \(2:3\). Adding four red counters changes the ratio to \(3:4\). Find the original total.
Hint
The blue count stays the same; only red changes.
Stage 8 - Q10 - 6 marks
Mix A has red : white = \(3:2\) and volume 30 litres. Mix B has red : white = \(1:4\). How many litres of B should be added so the final red : white ratio is \(2:3\)?
Hint
Use actual red volumes and the new total volume.