CAIE IGCSE Mathematics Extended Density Flow and Consumption Rates

Practise applying density, fuel-consumption, flow and planting rates after converting geometric measurements and compound units consistently.

Syllabus
2028–2030
Objective
E1.12.2
Level
Extended

Exam points

  • calculate volume or area first and convert its units before applying the stated rate
  • use density = mass ÷ volume and rearrange it to find mass, density or volume
  • combine total fuel, distance or flow before expressing consumption or capacity in required units

E1.12.2 Apply other measures of rate. question 1

[Maximum number: 4]
NOT TO SCALE

NOT TO SCALE

The diagram shows a field, ABCD with B north of A.
BD is a path across the field.
AB=85 m,AD=72 m,BD=129 mA B=85 \mathrm{~m}, A D=72 \mathrm{~m}, B D=129 \mathrm{~m}, angle BDC=39∘B D C=39^{\circ} and angle BCD=60∘B C D=60^{\circ}.

Trees are planted in the field.

The number of trees planted is 1100 per hectare.
Calculate the total number of trees planted in the field. [ 1 hectare =10000 m2=10000 \mathrm{~m}^{2} ]
The length of the rectangle is 80 cm , correct to the nearest 10 cm .

Calculate the upper bound of the width of the rectangle. cm

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