Grade 10 Examinations : Multiple Choice Questions (MCQ) on Perimeter and Area

Answering multiple-choice questions on calculating the perimeter and areas of plane figures and composite shapes helps Grade 10 students in Papua New Guinea strengthen their understanding of key geometry concepts that are commonly tested in the national mathematics examinations. 



 These questions enable students to apply mathematical formulas, visualize shapes, and solve real-world measurement problems with accuracy. Regular practice of such problem types also helps improve speed, confidence, and analytical thinking—skills that are essential for success in the Grade 10 National Exam and future studies in science, engineering, and technical fields.

 Instructions: Answer all questions by selecting the correct option. Each question has only one correct answer. Tab the "VIEW MY RESULTS" at the end to see your performance results. Good luck!

1. What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

A. 36 cm
B. 35 cm
C. 26 cm
D. 40 cm

2. What is the area of a triangle with a base of 10 cm and a height of 6 cm?

A. 60 cm²
B. 30 cm²
C. 16 cm²
D. 36 cm²

3. A square has sides of 12 m. What is its perimeter?

A. 12 m
B. 24 m
C. 38 m
D. 48 m

4. Find the area of a rectangle with a length of 15 cm and width of 9 cm.

A. 135 cm²
B. 120 cm²
C. 90 cm²
D. 150 cm²

5. The diameter of a circle is 14 cm. What is the area of the circle? (Take π = 3.14)

A. 78.5 cm²
B. 100 cm²
C. 153.86 cm²
D. 200 cm²

6. The perimeter of a triangle is the sum of its three sides. What is the perimeter if the sides are 7 cm, 9 cm, and 12 cm?

A. 26 cm
B. 28 cm
C. 30 cm
D. 35 cm

7. A composite figure consists of a rectangle (10 cm × 4 cm) attached to a semicircle of radius 2 cm on one of its shorter sides. What is the total area? (π = 3.14)

A. 45 cm²
B. 50 cm²
C. 52 cm²
D. 47.28 cm²

8. Find the area of a parallelogram with a base of 9 cm and a height of 5 cm.

A. 45 cm²
B. 25 cm²
C. 36 cm²
D. 54 cm²

9. What is the perimeter of a regular hexagon with each side measuring 6 cm?

A. 30 cm
B. 32 cm
C. 36 cm
D. 40 cm

10. A composite shape is made up of a square (4 m × 4 m) and a rectangle (4 m × 6 m) joined along one side. What is the total area?

A. 30 m²
B. 40 m²
C. 42 m²
D. 48 m²

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