Stage 8 - Q1 - 2 marks
Calculate mentally.
Hint
Look for a whole.
Stage 8 - Q2 - 2 marks
Calculate using cancellation.
Hint
Divide before multiplying.
Stage 8 - Q3 - 2 marks
Calculate exactly.
Hint
The sum inside the brackets is a familiar fraction.
Stage 8 - Q4 - 2 marks
Calculate exactly.
Hint
Keep the order of operations.
Stage 8 - Q5 - 2 marks
Rearrange the addition to make it easy: \(\frac{7}{8}+\frac{2}{3}+\frac{1}{8}+\frac{1}{3}\).
Hint
Find two pairs that each add to 1.
Stage 8 - Q6 - 2 marks
Find x in \(\frac{3}{5}+x=1\frac{1}{4}\).
Hint
Use the inverse operation.
Stage 8 - Q7 - 3 marks
A pupil cancels 4 in \(\frac{4+5}{4}\) and gets 6. Correct the reasoning.
Hint
Expand the fraction as a sum of two fractions.
Stage 8 - Q8 - 3 marks
Calculate \(\frac{48\times 11}{12}\) in two mental ways. Explain which you prefer.
Hint
The fraction \(\frac{11}{12}\) is close to 1.
Stage 8 - Q9 - 4 marks
Insert one pair of brackets into \(3-\frac{1}{2}\times 4\) to make the value 10. Explain why it changes the value.
Hint
Try making the subtraction the first step.
Stage 8 - Q10 - 5 marks
Challenge: use \(\frac{1}{2}\), \(\frac{1}{3}\) and \(\frac{1}{6}\) exactly once in each expression. With arithmetic operations and brackets, make one expression equal to 3 and another equal to \(\frac{1}{12}\).
Hint
The same difference of two fractions can be used in two different operations.