Stage 8 - Q1 - 2 marks
Subtract. Give a simplified mixed number if needed.
Hint
The denominators already match.
Stage 8 - Q2 - 2 marks
Subtract. Give a simplified mixed number if needed.
Hint
Keep the denominator and subtract the improper numerators.
Stage 8 - Q3 - 2 marks
Subtract. Give a simplified mixed number if needed.
Hint
Use a common denominator of 12.
Stage 8 - Q4 - 2 marks
Subtract. Give a simplified mixed number if needed.
Hint
Convert both to twenty-fourths.
Stage 8 - Q5 - 2 marks
A rope is \(7\frac{1}{3}\) m long. After cutting off \(2\frac{5}{6}\) m, what remains?
Hint
The fractional part may require exchanging a whole.
Stage 8 - Q6 - 2 marks
Find x.
Hint
Undo the subtraction by identifying the missing subtrahend.
Stage 8 - Q7 - 2 marks
A pupil claims \(5\frac{1}{6}-2\frac{3}{4}=3\frac{7}{12}\). Correct the result and explain the error.
Hint
Inspect the sign of \(\frac{1}{6}-\frac{3}{4}\).
Stage 8 - Q8 - 3 marks
Three sides of a quadrilateral are \(2\frac{1}{2}\) m, \(3\frac{2}{3}\) m and \(1\frac{3}{4}\) m. Its perimeter is \(10\frac{1}{6}\) m. Find the fourth side.
Hint
Add the known lengths before subtracting from the perimeter.
Stage 8 - Q9 - 3 marks
Two mixed numbers differ by \(2\frac{5}{8}\). The smaller is \(1\frac{7}{12}\). Find the larger and check by subtraction.
Hint
A missing starting value uses the inverse operation.
Stage 8 - Q10 - 5 marks
Challenge: find all integers n with \(1\le n\le 11\) such that \(4\frac{1}{3}-\left(2+\frac{n}{12}\right)\) is greater than \(1\frac{3}{4}\).
Hint
Replace both mixed numbers by fractions with denominator 12.