Perimeter and Area of 2D Shapes
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Perimeter and Area of 2D Shapes — Free MYP1 Mathematics Practice Questions

1QuestionArea of Trapeziums and Compound ShapesConcept Practice
2 marks~3 minCriterion A
A trapezium has parallel sides of 8 cm and 12 cm. Its area is 50 cm².

Using A=12(a+b)hA = \frac{1}{2}(a + b)h, calculate the height hh of the trapezium. [2]
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2QuestionFinding Perimeter of Irregular ShapesAssessment Practice
4 marks~6 minCriterion D
A student traces around the edge of a garden bed with a piece of string, then stretches the string out and measures it with a ruler.
a
State whether this method gives the exact perimeter or an approximation. [1]
b
Describe one reason why the measurement might not be perfectly accurate. [1]
c
The student now tries the same method on a very large garden and then on a very small garden. Describe one problem with using string for each size, and explain how each problem affects the accuracy of the measurement. [2]
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Solutions

3QuestionArea of Rectangles Triangles and ParallelogramsConcept Practice
4 marks~6 minCriterion B
A rectangle has a length of 10 cm. The table shows its area for different widths.

Width (cm)12345
Area (cm²)1020304050
a
Identify the area when the width is 3 cm. [1]
b
Describe what happens to the area as the width increases. [1]
c
A second rectangle also has a length of 10 cm. Its width is 4 cm. A third rectangle has the same length but a width of 8 cm. Compare the areas of these two rectangles. [2]
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4QuestionArea of Rectangles Triangles and ParallelogramsConcept Practice
6 marks~9 minCriterion C
A garden patio is made up of two rectangles and a right triangle.

Rectangle A: 6 cm×8 cm6 \text{ cm} \times 8 \text{ cm}
Rectangle B: 4 cm×5 cm4 \text{ cm} \times 5 \text{ cm}
Right triangle: base 4 cm4 \text{ cm}, height 3 cm3 \text{ cm}
a
State the formula used to find the area of a rectangle. [1]
b
Calculate the area of each shape. Show your working. [3]
c
A classmate says: "The total area is exactly 84 cm²." Describe whether your classmate is correct, and explain how you know. [2]
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Solutions

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