📝 PM Review: Perimeter and Area

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Question 1 Difficulty 1
Draw a rectangle and label its width (w) as 4 units and height (h) as 6 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a rectangle
💡 Explanation The rectangle should be drawn with width 4 units and height 6 units, and both dimensions properly labeled.
Question 2 Difficulty 1
Draw a triangle and label its base (b) as 5 units and height (h) as 3 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a triangle
💡 Explanation The triangle should have a base of 5 units and height of 3 units, both clearly labeled.
Question 3 Difficulty 1
Draw a square and label the length of its side (a) as 4 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a square
💡 Explanation The square should be drawn with all sides equal to 4 units and the side labeled as 'a'.
Question 4 Difficulty 1
Draw a circle and label its radius (r) as 3 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a circle
💡 Explanation The circle should be drawn with a radius of 3 units, and the radius should be clearly labeled.
Question 5 Difficulty 1
Draw a parallelogram and label its base (b) as 6 units and height (h) as 4 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a parallelogram
💡 Explanation The parallelogram should have a base of 6 units and height of 4 units, both properly labeled.
Question 6 Difficulty 1
Draw a trapezium and label its bases (a) as 5 units, (b) as 3 units, and height (h) as 4 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a trapezium
💡 Explanation The trapezium should be drawn with the specified dimensions and all labels clearly marked.
Question 7 Difficulty 1
Draw a rectangle and label its width (w) as 8 units and height (h) as 3 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a rectangle
💡 Explanation The rectangle should be drawn with width 8 units and height 3 units, with all labels included.
Question 8 Difficulty 1
Draw a triangle and label its base (b) as 6 units and height (h) as 5 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a triangle
💡 Explanation The triangle should be drawn with the correct base and height, both labeled appropriately.
Question 9 Difficulty 1
Draw a square and label the length of its side (a) as 5 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a square
💡 Explanation The square should be drawn with a side length of 5 units, and the label 'a' should be present.
Question 10 Difficulty 1
Draw a circle and label its radius (r) as 4 units.
  • A Correctly labeled
  • B Missing labels
  • C Wrong dimensions
  • D Not a circle
💡 Explanation The circle should be drawn with a radius of 4 units, and this radius should be labeled as 'r'.
Question 11 Difficulty 2
Draw a rectangle with width 7 units and height 5 units, then calculate its area.
  • A 35
  • B 30
  • C 12
  • D 25
💡 Explanation Area of the rectangle is calculated as 7 × 5 = 35 square units.
Question 12 Difficulty 2
Draw a triangle with base 8 units and height 4 units, then calculate its area.
  • A 16
  • B 12
  • C 20
  • D 24
💡 Explanation Area of the triangle is calculated as ½ × 8 × 4 = 16 square units.
Question 13 Difficulty 2
Draw a square with side length of 6 units, then calculate its area.
  • A 36
  • B 30
  • C 24
  • D 18
💡 Explanation Area of the square is calculated as 6 × 6 = 36 square units.
Question 14 Difficulty 2
Draw a circle with radius 5 units, then calculate its area using π as 3.14.
  • A 78.5
  • B 62.8
  • C 50.24
  • D 100
💡 Explanation Area of the circle is calculated as π × 5² = 3.14 × 25 = 78.5 square units.
Question 15 Difficulty 2
Draw a parallelogram with base 9 units and height 4 units, then calculate its area.
  • A 36
  • B 24
  • C 40
  • D 30
💡 Explanation Area of the parallelogram is calculated as 9 × 4 = 36 square units.
Question 16 Difficulty 2
Draw a trapezium with bases 10 units and 6 units, and height 3 units, then calculate its area.
  • A 48
  • B 30
  • C 36
  • D 42
💡 Explanation Area of the trapezium is calculated as ½(10 + 6) × 3 = 24 × 3 = 48 square units.
Question 17 Difficulty 2
Draw a rectangle with width 10 units and height 2 units, then calculate its area.
  • A 20
  • B 25
  • C 30
  • D 15
💡 Explanation Area of the rectangle is calculated as 10 × 2 = 20 square units.
Question 18 Difficulty 2
Draw a triangle with base 12 units and height 6 units, then calculate its area.
  • A 36
  • B 30
  • C 24
  • D 18
💡 Explanation Area of the triangle is calculated as ½ × 12 × 6 = 36 square units.
Question 19 Difficulty 2
Draw a square with side length 3 units, then calculate its area.
  • A 9
  • B 6
  • C 12
  • D 15
💡 Explanation Area of the square is calculated as 3 × 3 = 9 square units.
Question 20 Difficulty 2
Draw a circle with radius 4 units, then calculate its area using π as 3.14.
  • A 50.24
  • B 40.56
  • C 60.32
  • D 30.16
💡 Explanation Area of the circle is calculated as π × 4² = 3.14 × 16 = 50.24 square units.
Question 21 Difficulty 3
Calculate the area of a rectangle with width 9 units and height 7 units, then verify by drawing.
  • A 63
  • B 72
  • C 54
  • D 45
💡 Explanation Area of the rectangle is calculated as 9 × 7 = 63 square units. Drawing should confirm dimensions.
Question 22 Difficulty 3
Calculate the area of a triangle with base 15 units and height 10 units, then verify by drawing.
  • A 75
  • B 60
  • C 80
  • D 90
💡 Explanation Area of the triangle is calculated as ½ × 15 × 10 = 75 square units. The drawing should match this calculation.
Question 23 Difficulty 3
Calculate the area of a square with side length 8 units, then verify by drawing.
  • A 64
  • B 80
  • C 72
  • D 56
💡 Explanation Area of the square is calculated as 8 × 8 = 64 square units. The drawing should show correct dimensions.
Question 24 Difficulty 3
Calculate the area of a circle with radius 6 units using π as 3.14, then verify by drawing.
  • A 113.04
  • B 90.62
  • C 95.04
  • D 120.56
💡 Explanation Area of the circle is calculated as π × 6² = 3.14 × 36 = 113.04 square units. The drawing should reflect this.
Question 25 Difficulty 3
Calculate the area of a parallelogram with base 8 units and height 5 units, then verify by drawing.
  • A 40
  • B 36
  • C 30
  • D 50
💡 Explanation Area of the parallelogram is calculated as 8 × 5 = 40 square units. The drawing should confirm this.
Question 26 Difficulty 3
Calculate the area of a trapezium with bases 10 units and 6 units, height 4 units, then verify by drawing.
  • A 32
  • B 48
  • C 36
  • D 42
💡 Explanation Area of the trapezium is calculated as ½(10 + 6) × 4 = 32 square units. The drawing should match this.
Question 27 Difficulty 3
Calculate the area of a rectangle with width 12 units and height 8 units, then verify by drawing.
  • A 96
  • B 84
  • C 72
  • D 60
💡 Explanation Area of the rectangle is calculated as 12 × 8 = 96 square units. The drawing should reflect these dimensions.
Question 28 Difficulty 3
Calculate the area of a triangle with base 14 units and height 7 units, then verify by drawing.
  • A 49
  • B 56
  • C 42
  • D 60
💡 Explanation Area of the triangle is calculated as ½ × 14 × 7 = 49 square units. The drawing should confirm this.
Question 29 Difficulty 3
Calculate the area of a square with side length 9 units, then verify by drawing.
  • A 81
  • B 90
  • C 72
  • D 64
💡 Explanation Area of the square is calculated as 9 × 9 = 81 square units. The drawing should match this calculation.
Question 30 Difficulty 3
Calculate the area of a circle with radius 5 units using π as 3.14, then verify by drawing.
  • A 78.5
  • B 80
  • C 75
  • D 70
💡 Explanation Area of the circle is calculated as π × 5² = 3.14 × 25 = 78.5 square units. The drawing should reflect this.
Question 31 Difficulty 4
A rectangular cricket field has a width of 50 meters and a length of 100 meters. Calculate the perimeter and draw the field.
  • A 300
  • B 250
  • C 200
  • D 150
💡 Explanation Perimeter of the rectangle is calculated as 2 × (length + width) = 2 × (100 + 50) = 300 meters. The drawing should show these dimensions.
Question 32 Difficulty 4
A triangular garden has a base of 10 meters, height of 6 meters, and side lengths of 10 meters each. Calculate the perimeter and area, then verify by drawing.
  • A Area: 30, Perimeter: 30
  • B Area: 60, Perimeter: 40
  • C Area: 20, Perimeter: 50
  • D Area: 10, Perimeter: 60
💡 Explanation Area = ½ × base × height = 30 square meters; Perimeter = 10 + 10 + 10 = 30 meters. The drawing should reflect this.
Question 33 Difficulty 4
A circular park has a radius of 7 meters. Calculate the area and perimeter (circumference), then verify by drawing.
  • A Area: 154, Circumference: 44
  • B Area: 150, Circumference: 42
  • C Area: 160, Circumference: 50
  • D Area: 140, Circumference: 40
💡 Explanation Area = π × r² = 3.14 × 7² = 154 square meters; Circumference = 2πr = 2 × 3.14 × 7 = 44 meters. The drawing should confirm these calculations.
Question 34 Difficulty 4
A rectangular swimming pool is 8 meters wide and 15 meters long. Calculate its area and perimeter, then verify by drawing.
  • A Area: 120, Perimeter: 46
  • B Area: 100, Perimeter: 50
  • C Area: 80, Perimeter: 40
  • D Area: 60, Perimeter: 30
💡 Explanation Area = length × width = 15 × 8 = 120 square meters; Perimeter = 2 × (15 + 8) = 46 meters. The drawing should match these values.
Question 35 Difficulty 4
A trapezium has bases of 12 meters and 8 meters, and a height of 5 meters. Calculate the area and perimeter, then verify by drawing.
  • A Area: 50, Perimeter: 40
  • B Area: 60, Perimeter: 50
  • C Area: 70, Perimeter: 80
  • D Area: 80, Perimeter: 90
💡 Explanation Area = ½(12 + 8) × 5 = 50 square meters; Perimeter requires calculating the lengths of the non-parallel sides. The drawing should confirm this.
Question 36 Difficulty 4
A square garden has a side length of 20 meters. Calculate the area and perimeter, then verify by drawing.
  • A Area: 400, Perimeter: 80
  • B Area: 500, Perimeter: 90
  • C Area: 300, Perimeter: 70
  • D Area: 350, Perimeter: 60
💡 Explanation Area = side × side = 20 × 20 = 400 square meters; Perimeter = 4 × side = 80 meters. The drawing should reflect these dimensions.
Question 37 Difficulty 4
A rectangular plot of land is 40 meters long and 25 meters wide. Calculate its area and perimeter, then verify by drawing.
  • A Area: 1000, Perimeter: 130
  • B Area: 500, Perimeter: 120
  • C Area: 600, Perimeter: 110
  • D Area: 800, Perimeter: 140
💡 Explanation Area = 40 × 25 = 1000 square meters; Perimeter = 2 × (40 + 25) = 130 meters. The drawing should confirm these calculations.
Question 38 Difficulty 4
A circular garden has a radius of 10 meters. Calculate the area and perimeter (circumference), then verify by drawing.
  • A Area: 314, Circumference: 62.8
  • B Area: 300, Circumference: 63
  • C Area: 320, Circumference: 60
  • D Area: 310, Circumference: 64
💡 Explanation Area = π × r² = 3.14 × 10² = 314 square meters; Circumference = 2πr = 2 × 3.14 × 10 = 62.8 meters. The drawing should match these.
Question 39 Difficulty 4
A parallelogram has a base of 15 meters and a height of 10 meters. Calculate its area and perimeter, then verify by drawing.
  • A Area: 150, Perimeter: 70
  • B Area: 160, Perimeter: 80
  • C Area: 140, Perimeter: 60
  • D Area: 130, Perimeter: 90
💡 Explanation Area = base × height = 15 × 10 = 150 square meters; Perimeter requires knowing the lengths of the sides. The drawing should confirm this.
Question 40 Difficulty 4
A triangle has sides measuring 9 meters, 12 meters, and 15 meters. Calculate its perimeter and area, then verify by drawing.
  • A Area: 54, Perimeter: 36
  • B Area: 60, Perimeter: 35
  • C Area: 70, Perimeter: 40
  • D Area: 45, Perimeter: 50
💡 Explanation Area can be calculated using Heron's formula and perimeter is found by adding the sides: 9 + 12 + 15 = 36 meters. The drawing should verify this.
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