1. What fraction of an hour is 45 minutes? 2. Find two equivalent ratios of 4:5?
3. Find the sum of (-11) and 27?
OR
Subtract (-10) from 36.
4. Find the ratio of 90 cm to 1.5 m?
5. Find the equivalent fraction of 5
3
having numerator 27?

OR
Express 7 9
2
as improper fraction.

6. Write the integers in ascending order: -14 ,0, 12, -13
7. If an angle of 110º bisected, find the measure of each angle formed?

SECTION II

Case study based questions are compulsory. Attempt four sub parts of each question. Each
subpart carries 1 mark
8. Case Study based-1
Pinky and Bob are good friends. Daily morning they go for jogging. Pinky runs around a
square field of side 75 metres, Bob runs around a rectangular park of length 125 metres and
breadth 75 metres.

1) The distance covered by Pinky is:
A) 150 m B) 300 m C) 75 m D) 100m
2) The perimeter of the rectangular park is:
A) 400m B) 75 m C) 125m D) 200m
3) Bob covers more distance than Pinky by metres.
A) 300m B) 100m C) 400m D) 150m
4) The formula for finding the area of rectangular park is:
A) B) 4 ×side C) 2 × ( ) D) side × side
9) Case Study based-2
Antony is a vegetable seller. Every day he goes to the market to purchase some fresh vegetables.
He purchased 50 kg vegetables from a wholesale shop. Out of this 20 kg 250 g are potatoes,
18 kg 75 g are onions and the rest are tomatoes.
1) The weight of onions in kg using decimal is:
A) 18.750 kg B) 18.075kg C) 18.705kg D) 1.875kg
2) Total weight of onions and potatoes is:
A) 38.325 kg B) 39 kg C) 37.325kg D) 39.320 kg
3) The Weight of tomatoes is:
A) 11.557 kg B) 11.675 kg C) 10.675kg D) 12.675kg
4) The difference between the weight of potatoes and tomatoes is:
A) 9.755 kg B) 8.555 kg C) 8.575 kg D) 10.575kg

PART-B

Question number 10-12 carries 2 marks each. Internal choice is provided in 1 question.
10) Write 0.04 as fraction in lowest term.
11) Find (-15) + 36 – 11.
12) Draw a line segment of length 8.3 cm and construct its perpendicular bisector using ruler
and compasses.

OR

Draw an angle ABC of measure 65 ºand construct its bisector.
Question number 13-15 carries 3 marks each. Internal choice is provided in 1 question.
13) Amar takes 2 5
1
minutes to walk across the school ground. Rahim takes 4
7
minutes to do the

same. Who takes less time and by what fraction?
OR

Nila was given 1 2
1
piece of cake and Najma was given 1 3
1
piece of cake .Find the total amount of

cake given to them?

14) The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature
drop remains the same, how much degree will the temperature drop in the next 10 days?
15) Construct 120º angle using ruler and compasses only.
Question number 16 & 17 carries 5 marks each. Internal choice is provided in 1 question.
16) a) In a school, out of 4320 students, 2300are girls. Find the ratio of number of boys to the
number of girls?
b) Are the ratios 25 g : 30 g and 40 kg : 48 kg in proportion? If the ratio form a proportion
write the middle and extreme terms.
17) a) The area of a rectangular garden 50m long is 300 sq. m. Find the width of the garden?
b) Find the cost of fencing a rectangular park of length 160 m and breadth 120 m at the rate
of Rupees 12 per meter?
OR
a) Find the perimeter of an equilateral triangle of the side 15 cm?
b) A floor is 6m long and 4 m wide. A square carpet of side 3m is laid on the floor. Find the area
of the floor that is not carpeted?