Stage 8 - Q1 - 2 marks
Multiply.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q2 - 2 marks
Insert <, > or =.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q3 - 3 marks
Use a mental method.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q4 - 3 marks
Divide.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q5 - 4 marks
A rectangle measures 3.3 m by 1.6 m. Find its area exactly.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q6 - 4 marks
Compare 12.7 cm and 130 mm. State which is longer and the difference in millimetres.
Hint
Identify the operation from the context, then estimate its scale.
Stage 8 - Q7 - 5 marks
A 1.25 litre bottle fills glasses of 0.18 litre. Find the number of full glasses and the liquid remaining.
Hint
Use the context to decide how the quotient should be rounded.
Stage 8 - Q8 - 5 marks
Two decimal numbers have sum 3.6 and difference 0.8. Find the numbers and their product.
Hint
Combine the sum and difference to isolate one number.
Stage 8 - Q9 - 5 marks
A rectangle has perimeter 6.0 m and area 2.21 \(\text{m}^{2}\). Each side has one decimal place and is at least 1.0 m. Find its side lengths and explain how your search is complete.
Hint
Use the perimeter to reduce the search to one side.
Stage 8 - Q10 - 5 marks
Find the smallest positive integer n such that both \(0.28n\) and \(0.45n\) are integers. Explain why it is the smallest.
Hint
Convert the decimals into fractions and identify the required divisors of n.