HOLIDAY HOME-WORK FOR CLASS VI
SUBJECT – MATHEMATICS
Instruction :1. Please solve 3-5 sums daily.
2. Write statements in word problem.
1. Find a number between 1 and 10 which is not even and when divided by 3, leaves 1 as the remainder.
2. Mrs. Ghosh took of an hour to reach her office. She walks down to the bus stop then takes the bus to office. If the
time taken by her to reach the bus stand is
of an hour. Find the time taken by the bus to reach her office.
3. A carpenter has to make 20 items of furniture, some of them are stools with 3 legs and the remaining are chairs with
4 legs. If he has 72 legs of furniture and he would like to use all of them, how many stools and how many chairs can
be make?
4. Arun, a shopkeeper, has the following weights with him to use in his balance : 32 kg, 16 kg, 8 kg, 4 kg, 2 kg and 1 kg.
He claims that he can weigh anything between 1 kg and 63 kg using these weights. He says that if he wanted to
weigh, say 43 kg, he could use the following combination : 32 kg + 8 kg + 2 kg + 1 kg. Can you find the combinations of
weights to weigh the following?
i) 23 kg
ii)
50 kg
5. Draw a circle of convenient radius. Draw diameters PQ, NM, AB, XY and QR passing through the centre. Show that all
diameters are equal and also they are all equal to twice the length of the radius.
6. The sum of my digits is 12. When rounded off to the nearest hundred. I am 500. Rounding to the nearest 10 makes
me 530. What am I?
7. Simplify the following :
(i) 3 x [25 + {(-4) x (16 – 2 of 2)}]
(ii) 28 + 60 ÷ [54 – {32 – (14 – 16 – 10)}]
8. A water tank has 800 litres of water. Due to leakage, 6 litres of water is lost per hour. Find the water in the tank after
2 days, assuming no water was used from the tank.
9. The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook.
Each notebook contains 200 pages. How many notebooks can be made from the paper available?
10. Each of the two equal angles of a triangle is of the third angle. Find degree measures of all the angles of the triangle.
11. Sachin and his father went on a tour. They covered 360 km in one day. After 7 days, they decide to travel for 3 more
days. Find the total distance covered by them during the whole journey.
12. In the figure, 1 = 65º
Find other angles.
1
2 3
4
13. A friend of mine in London has a very nice cellar. He has two large barrels in the cellar. The larger barrel is mostly
empty. But, the smaller barrel is only th full of oil, while it can hold 536 litres. Supposing he emplties the smaller
barrel and fills the bigger barrel to find that the oil fills only th of it, how much oil would the larger barrel hold when
full?
14. Dani visits a shrine after every 48 days. Mary visits after every 32 days and Vani after 64 days. They met at the shrine
one day. After how many days will they meet again at the same place?
15. In a seminar, the number of participants in Hindi, English and Mathematics are 106, 159 and 265 respectively. Find
the minimum number of rooms required, if in each room the same number of participants is to be seated and all of
them are for the same subject.
16. Find the number, if the number is greater than the number of days in November, the number is an even number, the
number is less than 72, the number is multiple of 7 and the sum of the digits is equal to the number of days in a
week.
17. A man deposited Rs 41,793 in his bank account on Wednesday and withdrew Rs 2,378 on Thursday. He again
deposited Rs 59,823 on Sunday. What is the total amount of money in his bank account?
18. Find the greatest 5-digit number, which when divided by 8, 14, 18, 24 nad 48 leaves a remainder of 6 in each case..
19. The cost of a T.V. set was Rs 12000. Leena paid of it as cash. She paid Rs 4000 by cheque. The remaining was paid as
10 monthly installments. What fraction of the total cost was her monthly installment?
20. 15 students went to a restaurant. 8 of them had an ice cream at Rs 25 each and the remaining students had a pastry
at Rs 30 each. The leader of the student’s group paid a Rs 500 note. How much did he get back after paying a tip of Rs
40 to the waiter?
21. The cost of 10 notebooks is Rs 330 and the cost of 2 pens is Rs 44. Find the ratio of the cost of a notebook to the cost
of a pen.
22. The ratio of income to expenditure of Mr. Nataranjan is 7 : 5. If he saves Rs 2000 a month, what could be his income?
23. Seema and her brother Soman saved Rs 2,400,000 to buy a house. The ratio of Seema’s savings to that of Soman’s
was 5:3. What are the savings of each one of them?
24. Replace the # marked spaces in the blank boxes with ‘+’ or ‘-‘ signs such that the calculations, both across and down,
are equal to 15.1.
2.3 #
7.3
#
#
5.5
+
-
6.2
13.5
4.6
#
-
+
6.6 #
5.7
15.1
15.1
#
14.2
 15.1
 15.1
15.1
15.1
25. The cost of 1 dozen bananas is Rs 24. How much do 50 bananas cost?
26. What must be added to 30.38 to make 101.11?
27. Convert the following fractions into decimals :
(i)
(ii)
1
28. A rope is 7.87 m in length. If 2.58 m is cut from it, how much of the rope is left? Is this rope sufficient to tie a
clothsline between two hooks which are 6 m apart? If not, how much more is required?
29. Ramesh travelled 180.5 km by bus, 25.6 km by scooter, and the rest of the distance to Haridwar on foot. If he covered
a total distance of 210 km, how much did he travel on foot?
30. Help the caterpillar reach its food:
Help the caterpillar reach its leaf. Trace the path, if the caterpillar can move
from circles having smaller decimals to circles having bigger decimals.
SUBJECT – English
1. Four chapters from Gulmohar (Class 6); two from poetry and two from prose.
2. Prepare a Scrap-book on these (Some innovative input must be there.)