Stage 8 - Q1 - 2 marks
Use a mental method.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q2 - 2 marks
Use a mental method.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q3 - 3 marks
Use a mental method.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q4 - 3 marks
Use a mental method.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q5 - 4 marks
Calculate efficiently and explain your regrouping.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q6 - 4 marks
Calculate efficiently and explain your regrouping.
Hint
Look for a factor pair making 1 or 10, or a decimal close to a whole number.
Stage 8 - Q7 - 5 marks
Calculate \(48\times 0.125\) without long multiplication. Explain the fraction used.
Hint
Which familiar fraction equals 0.125?
Stage 8 - Q8 - 5 marks
Calculate \(3.6\times 9.9+3.6\times 0.1\) efficiently and name the property used.
Hint
The distributive law can be used in reverse.
Stage 8 - Q9 - 5 marks
Find every positive integer n below 100 for which both \(0.125n\) and \(0.2n\) are integers.
Hint
Express both decimals as familiar fractions.
Stage 8 - Q10 - 5 marks
Use the digits 1, 2, 3, 4 exactly once to make two decimals a.b and c.d. Find the greatest possible product. Justify your choice without multiplying every arrangement.
Hint
The units digits dominate the product; then compare the two possible tenths assignments.