Bombay Scottish School, Mahim
Section A (To be solved on this sheet itself)
Date of Completition: 09.12.2021
SECTION A
(To be done on this sheet itself)
Question 1
Tick the correct answer:
a) In the following diagram, what is the ratio of orange squares to white
squares?
i) 11 : 5
ii) 5:11
iii) 5:16
iv) 16:5
b) A horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the
height of the horse to the height of the statue?
i) 3:5
ii) 2:5
iii) 5:3
iv) 6:1
Question 2
a)Sheetal ate 3 oranges and 4 strawberries for breakfast.
i) The ratio of oranges to strawberries is ____________.
ii) The ratio of strawberries to oranges is ____________.
iii) The ratio of oranges to total fruits eaten is ______________.
b) Sheetal decided to make chocolate crispies, she needs 20 g of chocolate and 15 g of
cornflakes. The ratio of chocolate to cornflakes used is __________.
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Question 3
Write the ratio in the simplest form for each figure given below:
2
Question 4
a) The following table shows the tablespoons of sugar and flour (in
kg) needed to bake a chocolate cake. If the ingredients are in
proportion, complete the table below:
Tablespoons of sugar
3
Weight of flour in kg
0.5
9
33
1
39
2
2.5
Question 3
a) Fill in the blanks :
​
i) A line touching a circle externally at one point only is called a _____________________.
ii) A line intersecting a circle at two points is called a ______________________.
iii) A line-segment joining any two points on the circumference of a circle
is called a _______________.
iv) A chord passing through the centre of the circle is called a ____________________.
v) A part of the circumference is called an ______________.
vi) A part of a circle enclosed by any two radii and the corresponding arc is called a
___________________.
3
Question 4
Fill in the boxes with the correct name and term of each part of the circle given below:
minor arc, chord, diameter, radius, minor sector, minor segment, tangent
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SECTION B
(To be solved on A4 Refill sheets)
Question 1
Solve the following:
In a school:
a) Out of 1750 students, 1200 are boys and the rest are girls. Find the ratio
between:
i) number of boys to girls
ii) number of girls to total number of students
b) Out of 1800 students in another school, 750 opted for basketball, 800 opted for
cricket and the remaining opted table tennis. Find the ratio of:
i) number of students who opted for basketball to number of students who opted for table
tennis
ii) number of students who opted for cricket to number of students opting for basketball
iii) number of students opting for basketball to total number of students.
c) The ratio of the length and the width of a school ground is 5:2. Find the
length of the ground, if the width is 40m.
d)The weight of 8 books is 56 kg.
i) What is the weight of 152 such books?
ii) How many such books weigh 21 kg?
e) John types 750 words in half an hour. How many words would he type in 7 minutes?
f) 5 school buses carry 325 students. How many students can be carried by 9 buses?
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Question 2
a) In the given figure, m∠DEF = 116°, m∠EDC =(7y + 6)° and m∠DCE = 4y°.
Find y, m∠EDC and m∠DCE.
b) Find the value of x in the figure given below stating a valid reason.
i)
ii)
iii)
6
iv)
Question 3
a) Draw a circle of radius 3.6 cm and mark its centre as P. Take a point S on the
circumference of the circle. Join SP and extend it till it meets point R on the
circumference of the circle.
i) measure the length of SR
b) Draw a circle of radius 5 cm and mark its centre O.
i) Draw radii OA and OB such that ∠AOB = 45°.
ii) Shade the major sector of the circle.
ANSWER KEY TO SECTION A
Question 1
a) ii
b) i
Question 2
a) i) 3:4 ii) 4:3
Question 3
1)3:2
2) 3:5
Question 4
iii) 3:7
b)4:3
3) 2:1
4) 1:5
5) 5:9
6) 1:7
a)
Tablespoons of sugar
3
9
6
33
12
39
15
Weight of flour in kg
0.5
1.5
1
5.5
2
6.5
2.5
7
Question 3
a) i) tangent
ii) secant
iii) chord
iv) diameter
v) arc
vi) sector
Question 4
Minor arc AME, Chord FG/CD, Diameter CD, Radius OB, Minor sector O-BEC, Minor
segment FNG, Tangent HI
ANSWER KEY TO SECTION B
Question 1
a) i) number of boys : girls = 24:11
ii) number of girls : total number of students =11:35
b) i) 750:250= 3:1
ii) 800:750= 16:15
d) i) 1064 kg
ii) 3 books e)175 words
Question 2
a) y= 10°, m∠EDC = 76°, m∠DCE = 40°
b) i) x + 2x = 90°
3x = 90°
x = 90°÷ 3
x = 30°
iii) 750:1800= 5:12
c) 100m
f) 585 passengers
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ii) x +x + x = 180° (Angle sum property)
3x = 180°
x = 180°/3
x = 60°
iii) 90° - 52° = 38°
x = 38° (In a right angled triangle, acute angles are complementary)
iv) x +x+ 30°= 180° (Angle sum property)
2x= 180°- 30°
2x = 150°
x = 150° ÷ 2
x= 75°
Question 3
a) i) measure the length of SR- 7.2 cm
ii)
9
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