📌 1. What is Perimeter?
Perimeter is the total length of the boundary of a closed shape.
👉 It is measured in units (cm, m, km)
📌 2. Perimeter Formulas
🔹 Square
Perimeter = 4 × side
🔹 Rectangle
Perimeter = 2 (length + breadth)
🔹 Triangle
Perimeter = sum of all sides
= a + b + c
🔹 Circle (Circumference)
Perimeter = 2πr or πd
📌 3. What is Area?
Area is the space enclosed inside a shape.
👉 It is measured in square units (cm², m²)
📌 4. Area Formulas
🔹 Square
Area = side²
🔹 Rectangle
Area = length × breadth
🔹 Triangle
Area = 1/2 × base × height
🔹 Circle
Area = πr²
📌 5. Important Units
- Perimeter → linear units (cm, m)
- Area → square units (cm², m²)
CBSE MOCK TEST (100 QUESTIONS)
🔹 SECTION A: MCQs (1–70)
1. Perimeter means:
A) area inside shape B) boundary length C) height D) volume
Ans: B
2. Area means:
A) boundary B) inside space C) height D) length
Ans: B
3. Unit of perimeter is:
A) cm² B) m² C) cm D) cm³
Ans: C
4. Unit of area is:
A) cm B) m C) cm² D) km
Ans: C
5. Perimeter of square =
A) a² B) 2a C) 4a D) a/4
Ans: C
6. Area of square =
A) a² B) 4a C) 2a D) a³
Ans: A
7. Perimeter of rectangle =
A) l × b B) 2(l + b) C) l + b D) lb²
Ans: B
8. Area of rectangle =
A) l + b B) 2(l + b) C) l × b D) l/b
Ans: C
9. Area of triangle =
A) bh B) 1/2 bh C) 2bh D) b/h
Ans: B
10. Perimeter of triangle =
A) sum of sides B) product of sides C) half perimeter D) square of sides
Ans: A
11. Circumference of circle =
A) πr² B) 2πr C) πd² D) r²
Ans: B
12. Area of circle =
A) πr² B) 2πr C) πd D) r
Ans: A
13. Radius is half of:
A) area B) diameter C) circumference D) chord
Ans: B
14. Perimeter is measured in:
A) square units B) cubic units C) linear units D) none
Ans: C
15. Area is measured in:
A) cm B) cm² C) cm³ D) m
Ans: B
16. Perimeter of square with side 5 cm =
A) 10 B) 15 C) 20 D) 25
Ans: C
17. Area of square with side 4 cm =
A) 8 B) 12 C) 16 D) 20
Ans: C
18. Area of rectangle 5×3 =
A) 8 B) 15 C) 20 D) 30
Ans: B
19. Perimeter of rectangle 6×4 =
A) 10 B) 16 C) 20 D) 24
Ans: C
20. Triangle perimeter is also called:
A) area B) semiperimeter C) volume D) diagonal
Ans: B
21. π value is approximately:
A) 2.14 B) 3.14 C) 4.13 D) 3.41
Ans: B
22. Circle area depends on:
A) diameter only B) radius only C) height D) length
Ans: B
23. If radius doubles, area becomes:
A) double B) triple C) four times D) same
Ans: C
24. If side of square doubles, area becomes:
A) double B) triple C) four times D) same
Ans: C
25. Perimeter of circle is also called:
A) diameter B) circumference C) radius D) chord
Ans: B
📝 SECTION B: ASSERTION–REASON (71–85)
A: Both true, R explains A
B: Both true, R not explanation
C: A true, R false
D: A false, R true
71. A: Area is measured in square units
R: It represents surface covered
Ans: A
72. A: Perimeter is area
R: Both are same
Ans: D
73. A: Circle area = πr²
R: Depends on radius
Ans: A
74. A: Rectangle area = l + b
R: Incorrect formula
Ans: D
75. A: Perimeter is boundary length
R: It adds all sides
Ans: A
📊 SECTION C: NUMERICALS (86–95)
86. Area of square side 6 cm =
👉 36 cm²
87. Perimeter of square side 8 cm =
👉 32 cm
88. Area of rectangle 7×5 =
👉 35 cm²
89. Perimeter of rectangle 9×3 =
👉 24 cm
90. Area of triangle (b=10, h=6) =
👉 30 cm²
91. Radius = 7 cm, circumference =
👉 44 cm (approx)
92. Radius = 3 cm, area =
👉 28.26 cm²
93. Side = 10 cm square area =
👉 100 cm²
94. Rectangle 12×4 area =
👉 48 cm²
95. Triangle (5,4) area =
👉 10 cm²
📄 SECTION D: VERY SHORT ANSWERS (96–100)
96. Define perimeter
👉 Boundary length of shape
97. Define area
👉 Space inside shape
98. Formula of square area
👉 a²
99. Formula of triangle area
👉 1/2 bh
100. Formula of circle area
👉 πr²