Stage 8 - Q1 - 2 marks
Multiply and simplify.
Hint
Multiply both whole and fractional parts.
Stage 8 - Q2 - 2 marks
Multiply and simplify.
Hint
The denominator can cancel with the integer.
Stage 8 - Q3 - 2 marks
Multiply and simplify.
Hint
An improper fraction keeps the multiplication simple.
Stage 8 - Q4 - 2 marks
Multiply and simplify.
Hint
Cancel a common factor before multiplying.
Stage 8 - Q5 - 2 marks
Each of 14 notebooks has mass \(1\frac{3}{8}\) kg. Find their total mass.
Hint
Keep the answer exact rather than rounding a decimal.
Stage 8 - Q6 - 2 marks
A rectangle is \(2\frac{7}{10}\) m wide and 15 m long. Find its area.
Hint
Convert the mixed number to tenths.
Stage 8 - Q7 - 2 marks
Find the smallest positive integer k for which \(4\frac{2}{9}\times k\) is an integer.
Hint
Simplify the mixed number before choosing the multiplier.
Stage 8 - Q8 - 3 marks
A worker needs \(6\frac{3}{4}\) minutes for each of 20 identical jobs. Is that more than 2 hours? By how much?
Hint
Put both durations in the same unit.
Stage 8 - Q9 - 4 marks
Find a non-integer mixed number a such that \(6a\) and \(10a\) are both integers, but \(3a\) is not an integer.
Hint
Look for a denominator shared by 6 and 10 but not 3.
Stage 8 - Q10 - 5 marks
Challenge: find the smallest positive integer k for which both \(2\frac{3}{8}\times k\) and \(3\frac{5}{6}\times k\) are integers. Give both products.
Hint
Find a multiplier that cancels both simplified denominators.