Stage 9 - Q1 - 2 marks
Calculate exactly.
Hint
The divisor can be made an integer without changing the quotient.
Stage 9 - Q2 - 2 marks
Calculate exactly.
Hint
The divisor can be made an integer without changing the quotient.
Stage 9 - Q3 - 3 marks
Calculate exactly.
Hint
The divisor can be made an integer without changing the quotient.
Stage 9 - Q4 - 3 marks
Calculate exactly.
Hint
The divisor can be made an integer without changing the quotient.
Stage 9 - Q5 - 4 marks
A rectangle has area 9.6 square m and length 2 m. Find its width.
Hint
Check by multiplying your width by the length.
Stage 9 - Q6 - 4 marks
A rectangle has area 1.47 square m and length 0.3 m. Find its width.
Hint
Check by multiplying your width by the length.
Stage 9 - Q7 - 5 marks
Estimate by rounding both inputs to 1 significant figure.
Hint
Do not round the exact quotient instead of the inputs.
Stage 9 - Q8 - 5 marks
A learner multiplies only the divisor by 10 in \(3.5\div0.7\). Does the quotient stay unchanged?
Hint
Use the equivalent-fractions principle.
Stage 9 - Q9 - 5 marks
A bill of USD 45.37 is shared equally by 3 people. Find the quotient correct to 4 d.p. and the rounded share to the nearest cent. Does paying that rounded share exactly cover the bill?
Hint
Compare the sum of rounded shares with the original total.
Stage 9 - Q10 - 3 marks
Seven people share a bill of USD 53.17. Each pays a whole number of cents and no two payments differ by more than one cent. Find the payments and explain why seven identical rounded payments do not work.
Hint
Compare the total of the rounded equal payments with the exact bill.