Stage 8 - Q1 - 2 marks
Calculate.
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q2 - 2 marks
Calculate.
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q3 - 3 marks
Calculate.
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q4 - 3 marks
Calculate.
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q5 - 4 marks
A tank holds 12.5 litres. Each small container holds 0.1 litre. How many full containers can it fill?
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q6 - 4 marks
A tank holds 13.6 litres. Each small container holds 0.1 litre. How many full containers can it fill?
Hint
Replace 0.1 by one tenth and 0.01 by one hundredth.
Stage 8 - Q7 - 5 marks
Find the missing number: \(0.01\times x=3.8\). Explain why the answer must exceed 3.8.
Hint
Use the inverse operation.
Stage 8 - Q8 - 5 marks
Which is the odd calculation out? Explain using equivalent scale factors.
Hint
Rewrite each operation using 10 or 100.
Stage 8 - Q9 - 5 marks
For any positive x, compare \((x\div 0.1)\times 0.01\) with \((x\times 0.1)\div 0.01\). How many times as large is the second result?
Hint
Simplify each total multiplier before comparing.
Stage 8 - Q10 - 5 marks
Starting with 0.36, use exactly three operations. Each is either multiply by 0.1 or divide by 0.01. Finish at 360. Find all possible operation orders.
Hint
Express each operation as a multiplication by a power of 10.