Stage 8 - Q1 - 2 marks
Write this ratio in its simplest form.
Hint
Find a common factor of every term.
Stage 8 - Q2 - 2 marks
Purple : yellow is \(2:5\). What fraction is purple?
Hint
Count the whole mixture.
Stage 8 - Q3 - 2 marks
Simplify \(1.5\text{ kg}:600\text{ g}\).
Hint
Convert kilograms to grams.
Stage 8 - Q4 - 2 marks
Share 132 between A, B and C in the ratio \(2:3:6\).
Hint
There are eleven ratio parts.
Stage 8 - Q5 - 3 marks
Drink A uses concentrate : water = \(5:7\) and drink B uses \(3:4\). Which has more concentrate as a proportion of the drink?
Hint
A larger concentrate term alone does not settle the comparison.
Stage 8 - Q6 - 3 marks
Two lengths are in the ratio \(5:8\) and differ by 27 cm. Find both lengths.
Hint
Use the difference of the ratio terms.
Stage 8 - Q7 - 4 marks
A school club has adult : child = \(2:7\). There are 28 children. How many people are in the club, and what fraction are adults?
Hint
Twenty-eight is one share, not the whole group.
Stage 8 - Q8 - 4 marks
A and B have 96 counters in the ratio \(5:7\). A gives B eight counters. Find their new ratio.
Hint
The total stays ninety-six.
Stage 8 - Q9 - 5 marks
A:B is \(2:3\) and B:C is \(4:5\). Together A, B and C have 140 tokens. Find each count.
Hint
Combine the two ratios before using the total.
Stage 8 - Q10 - 6 marks
A bag has red : blue = \(3:4\). After adding 48 red counters and 12 blue counters, the ratio is \(3:2\). Find the original counts and verify both ratios.
Hint
Both colours change, so keep track of two new counts.