Stage 8 - Q1 - 2 marks
Divide and simplify.
Hint
How many halves fit in each whole?
Stage 8 - Q2 - 2 marks
Divide and simplify.
Hint
Count fifths rather than wholes.
Stage 8 - Q3 - 2 marks
Divide and simplify.
Hint
Multiply by the reciprocal \(\frac{4}{3}\).
Stage 8 - Q4 - 2 marks
Divide and simplify.
Hint
A non-integer quotient can be written as a mixed number.
Stage 8 - Q5 - 2 marks
A 12 m strip is cut into \(\frac{2}{3}\) m pieces. How many pieces are made?
Hint
Use consistent units for both lengths.
Stage 8 - Q6 - 3 marks
A 7 L jug fills \(\frac{3}{5}\) L bottles. How many full bottles can be filled, and what remains?
Hint
Distinguish the exact quotient from the number of complete bottles.
Stage 8 - Q7 - 2 marks
Find the fraction x.
Hint
Each of 14 equal portions must share the total 10.
Stage 8 - Q8 - 3 marks
The same 9 L is measured using \(\frac{2}{5}\) L and \(\frac{3}{4}\) L measures. Which gives the larger number of measure-sized units, and by how many?
Hint
Smaller measures should produce the larger count.
Stage 8 - Q9 - 4 marks
Find the least positive integer n for which \(n\div\frac58\) is an integer.
Hint
Inspect what must cancel from the denominator.
Stage 8 - Q10 - 5 marks
Challenge: find the smallest positive whole number of litres that fills an exact number of both \(\frac{3}{8}\) L bottles and \(\frac{5}{12}\) L bottles. State both bottle counts.
Hint
Write the two bottle counts as fractions involving the whole-number volume.