Stage 9 - Q1 - 2 marks
Convert \(5\) km to m.
Hint
Write both prefixes as powers of ten.
Stage 9 - Q2 - 2 marks
Convert \(\frac{7}{2}\) cm to mm.
Hint
Write both prefixes as powers of ten.
Stage 9 - Q3 - 2 marks
Convert \(9\) mm to micrometres.
Hint
Write both prefixes as powers of ten.
Stage 9 - Q4 - 2 marks
Convert \(\frac{11}{2}\) Gm to Mm.
Hint
Write both prefixes as powers of ten.
Stage 9 - Q5 - 3 marks
Convert \(\frac{7}{2}\) tonnes to kg and to Mg.
Hint
Expand both names into grams or kilograms.
Stage 9 - Q6 - 3 marks
A tank holds \(\frac{9}{2}\) L. A bottle holds 175 mL. How many full bottles can be filled?
Hint
Use a common unit before dividing.
Stage 9 - Q7 - 3 marks
A length is 6 mm. A pupil converts it to 6 million metres. Correct the error.
Hint
Recall the sign of the exponent in milli.
Stage 9 - Q8 - 4 marks
Order 5 mm, 4000 micrometres and 6000000 nm, shortest first.
Hint
Different unit names can hide a simple ordering.
Stage 9 - Q9 - 4 marks
A 6 km cable is cut into pieces of length \(\frac{39}{10}\) m. Find the maximum number of complete pieces and the leftover length.
Hint
Interpret the fractional quotient in a cutting context.
Stage 9 - Q10 - 5 marks
Challenge: A stack may be at most 48 mm thick. Each layer is \(\frac{17}{10}\) micrometres thick. Find the largest number of layers and prove that one more layer would be too thick.
Hint
Check the proposed maximum and the next whole number.