Stage 9 - Q1 - 2 marks
\(A:B=3:4\) and \(A=33\). Find \(B\).
Hint
The known value belongs to the first ratio term.
Stage 9 - Q2 - 2 marks
\(A:B=4:6\) and \(B=90\). Find the total.
Hint
Divide the known second share by its number of parts.
Stage 9 - Q3 - 2 marks
\(A:B=5:8\) and \(A=30\). Find \(B\).
Hint
The known value belongs to the first ratio term.
Stage 9 - Q4 - 3 marks
Beads are red : blue : gold = \(2:4:6\). There are 40 blue beads. Find the red, gold and total counts.
Hint
All three shares use the same size of part.
Stage 9 - Q5 - 3 marks
A drink uses pear : berry juice = \(3:6\). Berry juice is 2100 mL. Find pear juice and total litres.
Hint
First match the berry amount to its ratio term.
Stage 9 - Q6 - 2 marks
Two shares have ratio \(4:5\). The larger share is USD 6.25. Find the total.
Hint
The larger share corresponds to the larger ratio term.
Stage 9 - Q7 - 3 marks
\(A:B=5:7\) and their total is 108. A pupil treats 108 as \(A\). Explain the error and find both shares.
Hint
Decide whether the known amount is a share or the whole.
Stage 9 - Q8 - 3 marks
Beads are red : blue : gold = \(2:3:5\). There are 39 blue beads. Find the red, gold and total counts.
Hint
All three shares use the same size of part.
Stage 9 - Q9 - 3 marks
A drink uses pear : berry juice = \(3:5\). Berry juice is 500 mL. Find pear juice and total litres.
Hint
First match the berry amount to its ratio term.
Stage 9 - Q10 - 5 marks
\(A:B:C = 3:5:8\). C gives 18 tokens to A, after which A and B are equal. Find the original total.
Hint
Compare A and B before the transfer; B does not change.