Subject: Mathematics
Maximum Marks: 60
Time Allowed: 2 Hours
Section A: Very Short Answer Questions (1 mark each)
(Answer in one word or one sentence [6 × 1 = 6Marks]
1. Write the reciprocal of 5/8
2. Find the value of −12+7= -------------
3. Convert 0.75 into a fraction in its simplest form.
4. What is the perimeter of a square with side 5 cm?
5. Write the ratio of 3 kg to 500 g.
6. Name a polygon with 6 sides.
7. Nithin has 17 pencils 9 blue pens and 10 red pens find the ratio of pencils to pen.
8. Convert to simplest form 625:50
9. The number 3 less than (-2) is --------------------------------
10. 2 tens and 2-tenths --------------------------------------------
11. 1 – 1/5 is -------------------------------------------------------
12. 18/25……………………………………………………….
Section B: Short Answer Questions (2 marks each)
(Answer in 2-3 sentences)
[6 × 2 = 12 Marks]
1. Simplify: 3/4 +2/5
2. Arrange in ascending order: −5,0,3,−2,7
3. Convert 3.45 into a mixed fraction.
4. A rectangle has a length of 12 cm and a breadth of 8 cm. Find its area.
5. Divide 60 into the ratio 2:3.
6. Draw a rough sketch of an acute angle and name it.
7. Find the ratio in its lowest terms 3 hours to 540 minutes
8. Determine wheather 32,48,70,210 are in proportion.
9. 18:5-----------9:4 find proportion or not.
10. Represent 8+(-4) on a number line.
11. Convert 67/16 into mixed fraction.
12. Find the value of 20 – 13.756
13. Find the side a square whose perimeter is 17.6cm.
14. Convert the following
a).12 m 4 cm to m
b).90 min = --------------------hr
c).5983g to kg = --------------------
d. Find (-200) + (-11) +(-25)- (-32)
e. Simplify: 3 6/7 +4 2/3 -1 17/21
f. Write 0.342 as fraction in lowest term.
g. Write 200+30+5/10000 as decimals
h. Add 25+13.4+1.63=
Section C: Long Answer Questions (4 marks each)
(Answer in detailed steps)
[6 × 4 = 24 Marks]
13. A man bought 5 kg of rice for ₹45.50 per kg and 3 kg of wheat for ₹32.75 per kg.
Find the total cost.
14. Subtract −15from 25, and verify your answer using the number line.
15. Convert 7.25 meters into centimeters and millimeters.
16. Find the volume of a cuboid with length 10 cm, breadth 6 cm, and height 4 cm.
17. A sum of ₹1,200 is divided among A, B, and C in the ratio 3:2:1. Find each person’s
share.
18. Construct an angle of 60∘ using a compass and ruler. Write the steps of construction.
19. In a school of 750 students ,225 are girls. Find the ratio of
a. number of girls to number number of boys
b. Number of boys to number of girls
20 Express as ratio in the lowest term 6.20 to 80 paisa
21 A floor is 6.5m long and 4m wide. A square carpet of sides 2.5 m is laid on the floor find
the area of the floor that is not carpeted?
1. Find the length of a rectangle whose perimeter is 450m and breadth is 97m
Section D: Case Study Questions (5 marks each)
[2 × 5 = 10 Marks]
1. Fractions and Decimals:
A student scored 7/10 in Mathematics, 3/5 in Science, and 4/5 in English.
(a) Convert the scores into
decimals.--------------------------------------------------------------------------------------------
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(b) Arrange the scores in descending order.
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(c) Find the total score out of 3.
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2. Mensuration and Ratio:
A park is rectangular with a length of 50 m and a breadth of 30 m.
(a) Find the perimeter and area of the park.
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(b) A walking track is constructed along the perimeter of the park. If the cost of
construction is ₹20 per meter, find the total cost.
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(c) If the area of the park is shared equally among 5 children, find the area each child
gets.
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3. A bottle contains 840ml of refined oil. The total quantity of oil in 25 such bottles
is---
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4.Two ropes16m and 20 m long are to be cut into small pieces of equal length. What
will be the maximum length of each piece?
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3. Represent on a number line
a. 5/9 = ---------------------
4. Jaya Brought 4m of ribbon and Seema bought 200cm of ribbon. Who bought more
and by how much
5. Substract 4 3/7 – 2 ½
6. Solve 2 2/5 + 3/10- 7/8
7. Mamta had 8 m ribbon . she sold 2/5 m in the morning and 7/10 m in the afternoon
How much ribbon was she left by the end of the day.
8. Priyas school is at a distance of 7km 50m from her house. She walked 300m and then
travelled 1km 250 m by car to reach the bus stop and then covered the remaining
distance by bus. How much distance did she cover by bus?.
9. Split the following shape into rectangles and find its area?
3M 3M
4M
M
4M
7M
10
M
Second Question Paper (Different Numerical Values)
1. Write the reciprocal of 7/9
2. Find the value of −15+6 =.
3. Convert 0.6 into a fraction in its simplest form.
4. What is the perimeter of a square with side 7 cm?
5. Write the ratio of 4 kg to 800 g.
6. Name a polygon with 8 sides.
7. Arjun has 12 pencils, 15 blue pens, and 8 red pens. Find the ratio of pencils to pens.
8. Convert to simplest form 540:60
9. The number 4 less than −5 is:
10. 3 tens and 5-tenths:
11. 1−1/4
12. 27/36:
13. Express as a fraction and simplify it
A. 8th month of a year
B. 20 minutes in an hour
C. 10 days in a month of September.
Second Question Paper with Answers
1. Write the reciprocal of 79\frac{7}{9}.
Answer: 97\frac{9}{7}.
2. Find the value of −15+6=-15 + 6 =.
Answer: −9-9.
3. Convert 0.60.6 into a fraction in its simplest form.
Answer: 35\frac{3}{5}.
4. What is the perimeter of a square with side 7 cm?
Answer: 28 cm28 \, \text{cm}.
5. Write the ratio of 4 kg to 800 g.
Answer: 5:15:1.
6. Name a polygon with 8 sides.
Answer: Octagon.
7. Arjun has 12 pencils, 15 blue pens, and 8 red pens. Find the ratio of pencils to pens.
Answer: 12:2312:23.
8. Convert to simplest form 540:60540:60.
Answer: 9:19:1.
9. The number 4 less than −5-5 is:
Answer: −9-9.
10. 3 tens and 5-tenths:
Answer: 30.530.5.
11. 1−141 - \frac{1}{4} is:
Answer: 34\frac{3}{4}.
12. 2736\frac{27}{36}:
Answer: 34\frac{3}{4}.
13. A. 8th month of a year
The 8th month is August, and there are 12 months in a year.
Fraction: 812\frac{8}{12}128
Simplified form: 23\frac{2}{3}32.
14. B. 20 minutes in an hour
There are 60 minutes in an hour.
Fraction: 2060\frac{20}{60}6020
Simplified form: 13\frac{1}{3}31.
15. C. 10 days in a month of September
September has 30 days.
Fraction: 1030\frac{10}{30}3010
Simplified form: 13\frac{1}{3}31.
Solve the questions
a. Simplify: 5/6+3/7
b. Arrange in ascending order: −3,1,−7,0,5
c. Convert 4.25into a mixed fraction.
d. A rectangle has a length of 15 cm and a breadth of 10 cm. Find its area.
e. Divide 90 into the ratio 4:5.
f. Draw a rough sketch of an obtuse angle and name it.
g. Find the ratio in its lowest terms: 5 hours to 600 minutes.
h. Determine whether 12, 18, 24, 36 are in proportion.
i. 16:7and 8:38— Find proportion or not.
j. Represent 6+(−3) on a number line.
k. Convert 79/18into a mixed fraction.
l. Find the value of 25−9.634
m. Find the side of a square whose perimeter is 20 cm.
n. Convert the following:
a) 10 m 8 cm to m.
b) 120 min______ hr.
c) 7450 g to kg = ______.
d) Find (−150) +(−20) +(−30)−(−40)
o. Simplify: 235+514−327
p. Write 0.467as a fraction in lowest terms.
q. Write 150+25+3/1000 as a decimal.
r. Add 30+18.5+2.75
