Conversion of Units Length Area Volume
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Conversion of Units Length Area Volume — Free MYP2 Mathematics Practice Questions

1QuestionConverting Area UnitsConcept Practice
2 marks~3 minCriterion A
A rectangle has a length of 300 cm and a width of 40 cm.
a
Calculate the area of the rectangle in square centimetres (cm²). Use the formula Area=length×width\text{Area} = \text{length} \times \text{width}. [1]
b
Convert your answer to square metres (m²). Use the conversion factor 1 m2=10 000 cm21 \text{ m}^2 = 10\,000 \text{ cm}^2. [1]
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Solutions

2QuestionCommon Mistakes in Unit ConversionAssessment Practice
3 marks~5 minCriterion C
The graph shows the area of a square, A=s2A = s^2, where ss is the side length in metres and AA is the area in square metres.

A student claims that to convert an area from square metres to square centimetres, you multiply by 100. (Recall: 1 m=100 cm1 \text{ m} = 100 \text{ cm}.)
a
State the correct number of square centimetres in 1 m21 \text{ m}^2. [1]
b
Explain why multiplying by 100 works for length but not for area. [1]
c
Using the graph, compare the student's answer with the correct area in square centimetres for a square with side length 1 m1 \text{ m}. [1]
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Solutions

3QuestionUsing Unit Conversion in Word ProblemsConcept Practice
3 marks~5 minCriterion B
The graph shows the relationship between the side length and area of squares.

Points on the graph: (1,1)(1, 1), (2,4)(2, 4), (3,9)(3, 9), (4,16)(4, 16).
a
Identify the shape of the graph. [1]
b
Explain why the area of a square with side length 3 cm3 \text{ cm} is 9 cm29 \text{ cm}^2. [1]
c
Compare how quickly the area grows for small side lengths versus large side lengths, using values from the graph. [1]
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Solutions

4QuestionConverting Area UnitsAssessment Practice
4 marks~6 minCriterion D
A homeowner uses a 1:100 scale drawing of a rectangular floor. On the plan, the floor measures 8.5 cm by 6.2 cm. The actual floor has a small outward bulge (a curved section that pushes beyond the straight wall) along one of the longer walls.
a
Calculate the area of the floor shown on the plan in cm². [1]
b
Calculate the real floor area in m², using the scale 1:100. [2]
c
Explain why using the rectangular model may lead to the homeowner ordering too few tiles. [1]
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Solutions

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