Stage 8 - Q1 - 2 marks
Divide and round to 2 decimal places.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q2 - 2 marks
Divide and round to 2 decimal places.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q3 - 3 marks
Estimate, then divide to 3 significant figures.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q4 - 3 marks
Estimate, then divide to 3 significant figures.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q5 - 4 marks
A vehicle travels 25.2 km in 0.5 hours at a constant rate. Find the rate in kilometres per hour to 2 decimal places.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q6 - 4 marks
A vehicle travels 26.3 km in 0.7 hours at a constant rate. Find the rate in kilometres per hour to 2 decimal places.
Hint
Keep the original quotient until the final accuracy decision.
Stage 8 - Q7 - 5 marks
Calculate \(7.6\div 0.9\) to two decimal places. Explain why multiplying the rounded quotient by 0.9 does not recover 7.6 exactly.
Hint
Distinguish the exact quotient from its rounded display.
Stage 8 - Q8 - 5 marks
A container holds 18.7 litres. Bottles each hold 0.45 litre. Find the number of bottles needed to hold all the liquid, and the volume in the last bottle.
Hint
Holding all the liquid requires rounding the bottle count upwards.
Stage 8 - Q9 - 5 marks
Six friends share a bill of 8.53 dollars. Each pays a whole number of cents, and the largest payment may exceed the smallest by at most one cent. Find the payments and explain why rounding every share to the nearest cent is insufficient.
Hint
Compare the total of equal rounded shares with the exact bill.
Stage 8 - Q10 - 5 marks
A fictional delivery charge is 4.50 dollars plus 2.85 dollars per kilometre. Distances are billed in steps of 0.01 km. A budget is 40 dollars. Find the greatest affordable billed distance and explain why rounding the quotient normally gives the wrong choice.
Hint
This context needs a value at or below a limit, not the nearest value.