Mathematics Village (Question Bank)
6th Chapter 1 ( Knowing our Numbers ) Part 3
6th Chapter 1
( Knowing our Numbers )
Part 3
Q No 1 A machine, on an average, manufactures
2,825 screws a day. How many screws did it produce in the month of January 2006?
Q No 2 A merchant had Rs 78,592 with her. She
placed an order for purchasing 40 radio sets at Rs 1200 each. How much money
will remain with her after the purchase?
Q No 3 A student multiplied
7236 by 65 instead of multiplying by 56. By how much was his
answer greater than the correct answer?
Q No 4 To stitch a shirt, 2
m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be
stitched and how much cloth will remain?
Q No 5 Medicine is packed in boxes, each
weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot
carry beyond 800 kg?
Q No 6 The distance between the school and
the house of a student’s house is 1 km 875 m. Everyday she walks both ways.
Find the total distance covered by her in six days.
Q No 7 A vessel has 4 litres and 500 ml of
curd. In how many glasses, each of 25 ml capacity, can it be filled?
Q No 8 Round off the given numbers to the nearest tens, hundreds
and thousands.
Given
Number Approximate to Nearest Rounded Form
75847 Tens
75847 Hundreds
75847 Thousands
75847 Ten
thousands
Q No 9 Estimate: 5,290 + 17,986.
Q No 10 Estimate: 5,673 – 436.
Q No 11 following products :
(a) 87 × 313 (b) 9 × 795 (c) 898 × 785 (d) 958 × 387
Q No 12 Estimate each of the
following using general rule:
(a) 730
+ 998 (b) 796 – 314
Give a
rough estimate (by rounding off to nearest hundreds) and also a closer estimate
(by
rounding off to nearest tens) :
(a) 439
+ 334 + 4,317 (b) 1,08,734 – 47,599
Estimate
the following products using general rule:
(a) 578
× 161 (b) 5281 × 3491
Q No 13 Write in Roman Numerals (a) 69 (b) 98. C) 159 d) 549
6th Chapter 1 ( Knowing our Numbers ) Part 2
Class 6th
Knowing our Numbers - Part 2
Q No 1 Raman’s shop Things
Price The sales during the last year
Apples Rs 40 per kg 2457 kg
Oranges
Rs 30 per kg 3004 Kg
Combs Rs 3 for one 22760 Kg
Tooth
brushes Rs 10 for one 25367 kg
Pencils Re 1 for one 38530 kg
Note
books Rs 6 for one 40002 kg
Soap cakes Rs
8 for one 20005
kg
(a) Can you find the total weight of apples
and oranges Raman sold last year?
Weight of apples = __________ kg
Weight of oranges = _________ kg
Therefore, total weight = _____ kg + _____
kg = _____ kg
Answer – The total weight of oranges and
apples = _________ kg.
(b) Can you find the total money Raman got
by selling apples?
(c) Can you find the total money Raman got
by selling apples and oranges together?
(d) Make a table showing how much money Raman
received from selling each item. Arrange the entries of amount of money
received in descending order. Find the item which brought him the highest
amount.How much is this amount?
Q No 2 Population
of Sundarnagar was 2,35,471 in the year 1991. In the year 2001 it was found to
be increased by 72,958. What was the population of the city in 2001?
Q No 3 In one
state, the number of bicycles sold in the year 2002-2003 was 7,43,000. In the
year 2003-2004, the number of bicycles sold was 8,00,100. In which year were
more bicycles sold? and how many more?
Q No 4 The
town newspaper is published every day. One copy has 12 pages. Everyday 11,980
copies are printed. How many total pages are printed everyday?
Q No 5 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?
Q No 6 A book exhibition was held for four
days in a school. The number of tickets sold at the counter on the first,
second, third and final day was respectively 1094, 1812, 2050 and 2751. Find
the total number of tickets sold on all the four days.
Q No 7 Shekhar is a famous cricket player. He
has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs.
How many more runs does he need?
Q No 8 In an election, the successful
candidate registered 5,77,500 votes and his nearest rival secured 3,48,700
votes. By what margin did the successful candidate win the election?
Q No 9 Kirti bookstore sold books worth Rs
2,85,891 in the first week of June and books worth Rs 4,00,768 in the second
week of the month. How much was the sale for the two weeks together? In which
week was the sale greater and by how much?
Q No 10 Find the difference between the
greatest and the least number that can be written using the digits 6, 2, 7, 4,
3 each only once.
6th Chapter 1 ( Knowing our Numbers ) Part 1
Chapter 1
Class VI
Q No 1 Find the
greatest and the smallest numbers in each row
2.
1473, 89423, 100, 5000, 310.
3.
1834, 75284, 111, 2333, 450 .
4. 2853, 7691, 9999, 12002, 124.
Q No 2 Use the given digits without repetition and make the greatest and
smallest 4 digit numbers.
· 2, 8,
7, 4 (b) 9, 7, 4, 1 (c) 4, 7, 5, 0
Q No 3 Arrange the
following numbers in ascending order :
(a)
847, 9754, 8320, 571 (b) 9801, 25751, 36501, 38802
Q No 4. Arrange the following numbers in descending order :
(a)
5000,
7500, 85400, 7861 (b) 1971, 45321, 88715, 92547
Q No 5 Starting from the greatest 6-digit
number, write the previous five numbers in descending order.
Q No 6 Starting
from the smallest 8-digit number, write the next five numbers in ascending
order
Q No 7 Read these numbers. (i) 527864 (ii) 95432 (iii) 18950049
(iv) 70002509
(a) Write these numbers using placement
boxes and then using commas in Indian as well as International System of
Numeration..
Q No 8 Place
commas correctly and write the numerals:
(a)
Seventy three lakh seventy five thousand three hundred seven.
(b)
Nine crore five lakh forty one.
(c)
Seven crore fifty two lakh twenty one thousand three hundred two.
(d)
Fifty eight million four hundred twenty three thousand two hundred two.
(e) Twenty three lakh thirty thousand ten.
Q No 9 Insert
commas suitably and write the names according to Indian System of Numeration :
(a) 87595762 (b) 8546283
Q No 10 Insert commas suitably and write the
names according to International System of Numeration (a) 78921092 (b) 7452283
5th Class Practice Sheet for SA 1
Class-V
Practice Sheet for SA 1
1)
Write in short form
6800000+0+70000+2000+900+50+6
2)
Write in expanded form
2,62,078
3)
Write in figures Sixty
eight thousand three hundred and eighty nine
4)
Write in words using
International system of numeration 9680498
5)
Write the number name
using International system of numeration 205006000
6)
Rewrite the numbers with
commas separating the period using the first the Indian system and then
international system of numeration 19843485696
7)
Write the four
consecutive numbers that come after 66,09,96,000
8)
Write the predecessor and
successor of 65,500
9)
Arrange in ascending
order 232 ,435 ,243, ,453 ,231
10)
Arrange in descending
order 33,678 , 6,092, 5,57,986 , 54,239, , 412,68, 5,793
11)
Add:213789205+96879456+2817395
12)
Subtract: 2723900-145682
13)
Sanjana bought 3
necklaces for Rs1,40,500.She sold one of them for Rs 75,000 and the other for
Rs 85,000.How much money did she gain?
14)
Multiply 65743 by 3689
15)
Divide 539749 by 87 and
check the answer
16)
A tall office building
has 98 floors.Each floor has 48 windows.Each window is to be decorated with 64
tiny bulbs.How many bulbs would be needed to decorate all the windows?
17)
Simplify 7829-15 of 50/
25x132-2824+865
18)
Write all factors of 56 other than 1 and the number themselves
19)
Write the even numbers
between 88 and 99
20)
Write the prime
factorization of 300
21)
Find the HCF of 12 and 45
by finding factors
22)
Find the HCF of 45 and 30
by prime factorization
23)
What can be the greatest
weight that can be used as a number of times to weight 54 kg and 72 kg of rice?
24)
Find the LCM of 24 and 36 by prime factorization
25)
A slow train and a fast
train start together from a station for Ludhiana.The slow train stops at every
third station and the fast train stops at every fourth station.At the fourth
station a train boards the fast train.Which is the first station at which he
can change trains?
26)
Write
as a mixed fraction 56/12
27)
Arrange in ascending
order 73/21 , 7/12 , 76/9 , 7/36, 94/15
28) Gurinder had a reel of wire.After using 5 5/6 metres of the wire, he was left with 1 3/9 metres of the wire.How much wire did he have
in the beginning?
29) Round off the numbers 349,1263 and 9715
to the nearest ten.
30) Draw an angle of 85
7th Fraction
7th Fraction
Practice
Questions
Reera purchased 3 ½ kg apples and 4 ¾ kg
oranges. What is the total weight of fruits purchased by her?
In a class of 40 students 1/5 of the total number
of studetns like to study English, 2/5 of the total number like to study
mathematics and the remaining students like to study Science.
How many students like to study English?
How many students like to study
Mathematics?
What fraction of the total number of
students like to study Science?
Sushant reads 1/3 part of a book in 1 hour. How much part of the book will
he read in
2 1/5 hours?
Suman studies for 5 2/3 hours daily. She devotes 2 4/5 hours of
her time for Science and Mathematics. How much time does she devote for other subjects?
Saili plants 4 saplings, in a row, in her
garden. The distance between two adjacent
saplings is ¾ m. Find the distance between the
first and the last sapling.
Lipika reads a book for 1 ¾ hours every
day. She reads the entire book in 6 days.
How many hours in all were required by her
to read the book?
A car runs 16 km using 1 litre of petrol.
How much distance will it cover using 2 ¾ litres of petrol.
A rectangular sheet of paper is 12 ½ cm
long and 10 2/3 cm wide. Find its perimeter.
Salil wants to put a picture in a frame.
The picture is 7 3/5 cm
wide. To fit in the frame the picture cannot be more than 7 3/10 cm wide. How much should the picture be trimmed?.
Vidya and Pratap went for a picnic. Their
mother gave them a water bag that contained 5 litres of water. Vidya consumed
2/5 of the water. Pratap consumed the remaining water.
How much water did Vidya drink?
What fraction of the total quantity of
water did Pratap drink?
Ritu ate 3/5
part of an apple and the remaining apple
was eaten by her brother Somu.
How much part of the apple did Somu eat?
Who had the larger share? By how much?
Michael finished colouring a picture in 7/12 hour. Vaibhav
finished colouring the same picture in ¾ hour. Who worked longer? By what fraction was it longer?
10th AREAS RELATED TO CIRCLES
AREAS RELATED TO CIRCLES
MCQs
1 If the perimeter of a semicircular
protractor is 36 cm, then its diameter is :
(a) 10 cm (b)
12 cm
(c) 14 cm (d)
15 cm
2 The
diameter of a circle whose area is equal to the sum of the areas of the two
circles of radii 40 cm and 9 cm is
(a) 41 cm (b)
49 cm
(c) 82 cm (d)
62 cm
3 If
the diameter of a semicircular protractor is 14 cm, then the perimeter of the
protractor is :
(a) 26 cm (b)
14 cm
(c)
28 cm (d)
36 cm
4 The area of a circle whose
circumferenc is 44 cm is :
(a) 152 cm2
(b)
153 cm2
(c) 154 cm2
(d)
150 cm2
5 A
region in the circle, bounded by an arc and a chord, including the arc and the
chord is
(a)
sector (b)
segment
(c)
minor arc (d)
major arc
6 If a circle of radius 7 cm is divided
into 10 equal parts, then the area of each sector is :
(a) 14.5 cm2
(b)
15.4 cm2
(c) 15.6 cm2
(d)
16.5 cm2
7. If the diameter of the wheel of a cycle
is 7cm, then its area is :
(a) 77 cm2 (b)
22 cm2
(c)772 cm2 (d)
770 cm2
8. If the radius of a circle is doubled,
then area of the circle becomes :
(a) double (b)
triple
(c) four
times (d)
same
9. The ratio of the area and circumference
of a circle of radius 4 cm is :
(a)
4 : 1
(b) 2 : 1
(c)
1 : 2 (d)
8 : 1
10. The diameter of a circle of area 154 cm2
is :
(a) 7 cm (b)
14 cm
(c) 21 cm (d)
7 2 cm
11. If 100 p cm2 is the area of a circle, then
its circumference is :
(a) 50p cm b)
20p cm
(c) 10p cm (d)
25p cm
12. The area of a circle of circumference 12
is :
(a) 3p (b)
3/p
(c) 2p (d)
2/p
13. If
the area of a sector of a circle of radius 6 cm is 9 p cm, then the angle
subtended at the centre of the circle is :
(a)
30° (b)
60°
(c)
90° (d)
120°
14. If
a copper wire of length 88 cm is bent in the form of a circle, then the radius
of the circle is :
(a) 7 cm (b)
14 cm
(c) 772 cm (d)
none of these
15. The area of the circle that can be
inscribed in a square of side 6 cm is :
(a) 36p cm2 (b)
18p cm2
(c) 12p cm2 (d)
9p cm2
16. The area of the square that can be
inscribed in a circle of radius 8 cm is :
(a) 256 cm2 (b)
128 cm2
(c) 64 2 cm2
(d)
64 cm2
17.
The radius of a circle whose circumference is equal to the sum of the
circumferences of the two circles of diameters 36 cm and 20 cm is :
(a) 56 cm (b)
42 cm
(c) 28 cm (d)
16 cm
18. The
diameter of a circle whose area is equal to the sum of the areas of the two
circles of radii 24 cm and 7 cm is :
(a) 31 cm (b)
25 cm
(c) 62 cm (d)
50 cm
19.
If the perimeter and the area of a circle are numerically equal, then the
radius of the circle is :
(a)
2 units
(b) p units
(c)
4 units (d)
7 units
20. A
steel wire, when bent in the form of a square,enclosed an area of 121 cm2. The
same wire is bent in the form of a circle. The area of the circle is :
(a)
154 cm2 (b)
145 cm2
(c)
451 cm2
(d) 541 cm2
21. A
race track is in the form of a ring whose inner and outer circumferences are
437 m and 503 m respectively. The width of the track is :
(a)
10.5 m
(b) 20.5 m
(c)
21 m (d)
30 m
22.
Two circles touch internally. The sum of their areas is 116p cm2 and the
distance between their centres is 6 cm. The radii of the circles are :
(a)
4 cm and 9 cm (b)
4 cm and 10 cm
(c)
5 cm and 10 cm (d)
4 cm and 20 cm
23. If
the sum of the circumferences of two circles with radii R1 and R2 is equal to the
circumference of a circle of radius R, then :
(a)
R1 + R2 = R
(b)
R1 + R2 > R
(c)
R1 + R2 < R
(d)
nothing definite can be said about the relation among R1, R2 and R.
24 The perimeter of the sector of a circle
whose central angle is 45° and radius 7 cm is :
(a) 39 cm (b)
19.5 cm
(c) 35 cm
(d) 17.5 cm
25. If the circumference of a circle and the
perimeter of a square are equal, then :
(a)
Area of the circle = Area of the square
(b)
Area of the circle > Area of the square
(c)
Area of the circle < Area of the square
(d)
Nothing definite can be said about the relation between the areas of the circle
and square.
26. The
length of a wire in the form of an equilateral triangle is 44 cm. If it is
rebent into the form of a circle, then area of the circle is :
(a) 484 cm2 (b)
176 cm2
(c) 154 cm2 (d)
144 cm2
27. If the perimeter of a circle is equal to
that of a square, then the ratio of their areas is :
(a) 22 : 7 (b)
14 : 11
(c) 7 : 22 (d)
11 : 14
28.
It is proposed to build a single circular park equal in area to the sum of
areas of two circular parks of diameters 16 m and 12 m in the locality. The radius
of the new park would be :
(a) 10 m (b)
15 m
(c) 20 m
(d) 24 m
29.
The length of the minute hand of a clock is 6 cm.The area swept by the minute
hand in 10 minutes is :
(a) 12p cm2
(b) 36p cm2
(c) 9p cm2 (d)
6p cm2
30. If we decrease the radius of a circle by
20%, then its circumference will be reduced by
(a) 40% (b)
10%
(c) 20%
(d) 50%
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