Mathematics - Set B

Class: VI

Date: Time: 3 hrs

M. M: 90

General Instructions:

1. Read the question paper carefully and answer legibly.
2. All questions are compulsory.
3. The question paper consist of 31 questions divided into four sections A,B,C and D

1. Section A comprises of 4 questions of 1 mark each, section B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11 questions of 4 marks each

1. Use of calculators is not permitted.

Section – A

Q1. Express <math>\frac{21}{4}</math> as mixed fraction. Q2. 10 students Number of 4 2 0 BANANA APPLE GUAVA ORANGE

Fruits

What does this bar graph represent? Q3. What is the perimeter of a regular hexagon of side p cm. 1

Q4. Find the area of rectangle whose sides are 6m and 20cm. 1

Section – B

Q5. Arrange 0.64, 0.05, 0.1, 0.7, in descending order. 2

Q6. In a school of 550 students, 250 are girls. Find the ratio of girls to boys. 2

Q7. For the following expressions, form the statements. 2

1. 6y-5
2. <math>x+15</math> 2

Q8. Find the cost of flooring a rectangular room of length 5cm and width 2 cm, at Rs10 per sq.cm

Q9. Following pictograph shows the number of tractors in 5 villages. 2

Villages Number of tractors ₹₩. <math>= 1 tractor</math>

Village A *********** Village B THE THE THE THE THE Village C ********* Village D THE THE THE Village E *** *** *** *** *** ***

Observe the pictograph and answer the following questions.

1. Which village has the minimum no. of tractors?
2. Which village has the maximum no. of tractors?
3. How many more tractors village C has as compared to village B?
4. What is the total no. of tractors in all the 5 villages?

Q10. With the same centre O, draw two circles with radii 3cm and 5cm. 2

Section – C

Q11. Construct an angle of 135° with the use of ruler and compasses. 3

Q12. Give expressions in the following cases:- 3

1. y is multiplied by -5 and the result is added to 18.
2. 6 times x from which 4 is subtracted.
3. p divided by 7.

Q13. The population of 4 major cities in India in a particular year is: CITY Mumbai Kolkata Delhi Chennai 3

Population (in lakhs) 120 130 110 80

Draw a bar graph to illustrate the above data. Q14. Pick out the solution of <math>2n+12=10</math> from the values given in the brackets. <math>\{1, 2, -1\}</math> 3

Show that the other values do not satisfy the equation. Q15. Cost of 105 envelopes is Rs. 35. How many envelopes can be purchased for Rs. 10? 3

Q16. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the 3

area of the floor that is not carpeted.

Q17. a) Draw a number line and locate <math>\frac{1}{5}</math> on it. 1 ½

b) solve <math>\frac{5}{6} - \frac{1}{4}</math> 1 ½

Q18. The following are the number of electric bulbs purchased for a lodging house during the first 4 3

months of a year:

Months January February March April

Number of bulbs 20 35 25 30

Represent the details by a pictograph. Q19. Subtract the difference of 118.5 and 6.492 from the sum of 169.56 and 23.59 3 3 Q20. A piece of string is 120 cm long. What will be the length of each side if the string is used to form:-

1. a regular pentagon? c) a regular hexagon?

Section – D

Q21. Draw ∠120° and divide it into four equal parts using ruler and compasses. 4

Q22. Vishal earns Rs15000 in 3 months.

1. How much will he earn in 6 months? 2
2. In how many months will he earn Rs.95000? 2

Q23. Pooja runs around a square field of side 75 m, Bobby runs around a rectangular field with 4

length 160 m and breadth 105 m. Solve and find who covers more distance?

Q24. The total weight of three parcels is 48 kg57g. If two of them weigh 12 kg18 g and 18 kg15 g, 4

find the weight of the third parcel. (Concept of Decimal to be used)