Stage 9 - Q1 - 2 marks
Calculate exactly.
Hint
The number of negative factors determines the sign.
Stage 9 - Q2 - 2 marks
Calculate exactly.
Hint
The number of negative factors determines the sign.
Stage 9 - Q3 - 3 marks
Calculate exactly.
Hint
The number of negative factors determines the sign.
Stage 9 - Q4 - 3 marks
Calculate exactly.
Hint
The number of negative factors determines the sign.
Stage 9 - Q5 - 4 marks
A rectangle measures 6 m by 0.5 m. Find its area exactly.
Hint
Count decimal places only after finding the integer product.
Stage 9 - Q6 - 4 marks
A rectangle measures 6.2 m by 0.6 m. Find its area exactly.
Hint
Count decimal places only after finding the integer product.
Stage 9 - Q7 - 5 marks
Use \(64\times7=448\) to find the product.
Hint
Track the combined scaling of both factors.
Stage 9 - Q8 - 5 marks
Calculate exactly.
Hint
Decide the sign separately from the magnitude.
Stage 9 - Q9 - 5 marks
Does this product lie below or above its first factor? Explain.
Hint
The positive scale factor is between 0 and 1.
Stage 9 - Q10 - 3 marks
Use the digits 1, 2, 3 and 4 exactly once to form two positive numbers with one digit before and one digit after the decimal point. Find the largest product and justify that it is largest.
Hint
Choose the leading digits first; use a bound to exclude smaller leading digits.