Stage 8 - Q1 - 2 marks
Divide.
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q2 - 2 marks
Divide.
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q3 - 3 marks
Divide.
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q4 - 3 marks
Divide.
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q5 - 4 marks
A ribbon is 36.4 m long. It is cut into pieces of 1.4 m. How many pieces are obtained with no waste?
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q6 - 4 marks
A ribbon is 29.6 m long. It is cut into pieces of 0.8 m. How many pieces are obtained with no waste?
Hint
Make the divisor an integer without changing the quotient.
Stage 8 - Q7 - 5 marks
Find x if \(0.7x=6.3\). Check by a different operation.
Hint
Use division to undo multiplication.
Stage 8 - Q8 - 5 marks
A 4.7 m ribbon is cut into 0.6 m pieces. How many full pieces fit and how much ribbon remains?
Hint
Separate a quotient from a count of whole pieces.
Stage 8 - Q9 - 5 marks
For positive a, compare \(a\div 0.25\) with \(a\times 0.25\). How many times greater is the first result? Explain.
Hint
Replace 0.25 by one quarter in both calculations.
Stage 8 - Q10 - 5 marks
A positive divisor d has one decimal place and lies strictly between 0 and 1. The quotient \(8.4\div d\) is an integer from 10 to 20 inclusive. Find every possible d.
Hint
First use the quotient range to narrow the divisor range.