Perimeter and Area of 2D Shapes
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Perimeter and Area of 2D Shapes — Free MYP3 Mathematics Practice Questions

1QuestionArea of Trapeziums and Compound ShapesConcept Practice
2 marks~3 minCriterion B
The diagram shows a trapezium. The two parallel sides are labelled aa and bb. The perpendicular distance between them is labelled hh.
a
Identify which measurements are the bases and which is the height of the trapezium. Use correct mathematical notation in your response. [1]
b
Explain why the area of a trapezium is calculated using the formula A=12(a+b)hA = \dfrac{1}{2}(a+b)h. [1]
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2QuestionArea of Rectangles Triangles and ParallelogramsAssessment Practice
4 marks~6 minCriterion D
A rectangular garden measures 12 m by 8 m. A triangular flower bed, with base 4 m and height 3 m, is cut from one corner of the garden, leaving a grass area.
a
Calculate the area of the rectangular garden. [1]
b
Calculate the area of the triangular flower bed. [1]
c
The gardener claims the remaining grass covers more than 90% of the original garden. Using your results from (a) and (b), determine the remaining grass area and explain whether the gardener's claim is correct. [2]
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Solutions

3QuestionArea of Rectangles Triangles and ParallelogramsConcept Practice
2 marks~3 minCriterion A
The diagram shows a right triangle and a parallelogram drawn on a centimetre grid.
a
Calculate the area of the triangle. [1]

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
b
Calculate the area of the parallelogram. [1]

Area=base×height\text{Area} = \text{base} \times \text{height}
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Solutions

4QuestionCalculating Perimeter of Squares and RectanglesConcept Practice
2 marks~3 minCriterion C
A gardener plans to place fencing around a rectangular vegetable plot.
a
State one real-world situation, other than a garden, where calculating the perimeter of a rectangle is useful. [1]
b
Explain why the formula P=2(l+w)P = 2(l + w) works for a rectangle, and identify one assumption this formula makes about the shape. [1]
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