1. What is the area of the shaded figure ?
a) 42.25 sq. units
b) 42.50 sq. units
c) 42.75 sq. units
d) 52.25 sq. units
Answer: b) 42.50 sq. units
Explanation: Total number of shaded squares = 17
Area of 1 square = 2.5 sq. units
Therefore, area of shaded figure = 17 × 2.5 = 42.50 sq. units
2. How many angles inside the given figure are equal to three right angles?
a) 4
b) 6
c) 8
d) 10
Answer: c) 6
Explanation: Three right angles = 3 × 90° = 270°
The figure shows the angles which are 270°.
There are six angles inside the given figure which are equal to three right angles.
3. What is the area of a circular flower bed of diameter 5.6 metres?
[Take π = 22/7]
a) 24 m²
b) 24 m²
c) 64 m²
d) 84 m²
Answer: c) 24.64 m²
Explanation: Diameter = 5.6 m
Radius = Diameter/2
= 5.6/2 = 2.8 m
Area of a circle = π × Radius × Radius [π = 22/7]
= 22/7 × 2.8 × 2.8
= 22/7 × 28/10 × 28/10
= 24.64 m²
4. Two triangles with equal sides and a rectangle form the given figure. What is the perimeter of the entire figure?
a) 30 cm
b) 32 cm
c) 33 cm
d) 35 cm
Answer: b) 32 cm
Explanation: The labelled figure is:
Perimeter of the figure = (13 + 1.5 + 1.5 + 13 + 1.5 + 1.5) cm = 32 cm
5. In a carton of 91 cm × 56 cm × 35 cm, what is the number of cubical boxes side 7 cm that can be stored in it?
a) 320
b) 420
c) 520
d) 620
Answer: c) 520
Explanation: Volume of cuboidal carton = Length × Breadth × Height
= 91 cm × 56 cm × 35 cm
= (91 × 56 × 35) cm3
Volume of cubical box = side × side × side
= 7 cm × 7 cm × 7 cm
= (7 × 7 × 7) cm3
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