Page 243 - Maths Skills - 8

Practice Paper for Safal Examination - 2025 5

3. A quadrilateral in which two pairs of adjacent sides are equal and opposite sides unequal is called
a__________. [1]

(a) Rectangle (b) Rhombus (c) Kite (d) Square
4. A parallelogram having all sides and angles equal is called __________. [1]
(a) Rectangle (b) Rhombus (c) Kite (d) Square

Case Study - 6

In Rampur district villagers want to construct a place for their meeting. The
entrance of the place is made up of four cylindrical pillars. Pillars are made
with hollow cylindrical pipe having volume 748 m . The length of the pipe
3
is 14 m and its external diameter is 18 m.
Based on the given information answer the following questions:

1. Find the external radius of the pipe? [1]
(a) 18m (b) 9 m

(c) 12 m (d) 21 m
2. What is the formula of volume of the hollow cylinder? [1]

(a) π (R – r ) h (b) π (R + r ) h
2
2
2
2
(c) πr (R – r ) h (d) π (R – r ) rh
2
2
2
2
3. What is the inner radius of the pipe? [2]
(a) 4 m (b) 5 m (c) 8 m (d) 9 m
4. The value of the thickness of the pipe? [1]
(a) 2 m (b) 1 m (c) 4 m (d) 3 m

Case Study - 7

In the summer, a survey was conducted among some people about Tea 30%
their favorite drinks. The following pie – chart shows the data—
Hot Coffee 25%
Based on the given information answer the following questions: Cold Drinks 15%

1. If 300 people like coffee, then the number of people on which Coconut water 10%
survey was conducted is: [1] Juice 20%

(a) 1000 (b) 120
(c) 1200 (d) 1500

2. The ratio of number of people who like coffee to the total number of people is [1]
(a) 1:4 (b) 5:6 (c) 2:5 (d) 3:20

3. The central angle in the pie chart for the people who like cold drinks is [2]
(a) 54° (b) 45° (c) 40° (d) 27°