Question Set C

cbse 6th Standard Mathematics Fractions Sample Question Papers Study Material - QB365

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Questions:

Generic 2

10 x 2 = 20

Add, with the help of a diagram:
\(\frac { 1 }{ 5 } +\frac { 2 }{ 5 } \)

The shapes you see here are symmetrical. Why?

A man purchases one shirt of cost Rs 729.50 and a trouser of cost Rs 1050 and 25 paise. What amount did he pay?

Find the areas of the following figures by counting square.

Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication. (Hint Three possible expressions are 5 + (8 - 7), 5 - (8 - 7), (5\(\times\)8) + 7, make the other expressions).

Write number of edges and vertices of the following:
Cuboid

Which of the following are co-prime?
(a) 15 and 37
(b) 40 and 46

Using the number line write the integer, which is 6 less than 2

Find the value of the following, using distributive property 290 x 13 + 290 x 7.

10.

Compare the following number: 97632 and 96543

Fill up / 1 Marks

10 x 1 = 10

11.

See the figure and fill in the blanks.

The ratio of the number of circles to that of triangles is ____________

12.

The common properties in the two set-squares of a geometry box are that they have a ________ angle and they are of the shape of a ___________.

13.

The number of line of symmetry in a picture of Taj Mahal is ______

14.

Numbers having more than two factors are called _____________numbers.

15.

In a bar graph, bars of __________ width can be drawn horizontally or vertically with ________ spacing between them.

16.

A sphere has _____ flat surface.

17.

A triangle has_______vertices.

18.

45- (-11)____57+ (-4)

19.

Division of whole number by __________ is not defined.

20.

Fill up using one of these: '>','<' or '=' \(\frac { 3 }{ 5 } \)☐1

Match the following

5 x 1 = 5

21.

1 obtuse angle

22.

1 right angle

23.

Cuboid

24.

3 sides of equal length

25.

Straight angle

True or False

5 x 1 = 5

26.

Using only the two set-squares of the geometry box, an angle of 40° can be drawn.

(a)

True

(b)

False

27.

8 : 9: :24:27

(a)

False

(b)

True

28.

If a number is divisible by 3, it must be divisible by 9

(a)

True

(b)

False

29.

If the sum of two distinct whole numbers is odd, then their difference also must be odd.

(a)

False

(b)

True

30.

The measure of an acute angle < 90⁰.

(a)

False

(b)

True

Multiple Choice Question

10 x 1 = 10

31.

1331 is divisible by

(a)

(b)

(c)

(d)

32.

\(\cfrac { 22 }{ 10 } =\)

(a)

0.22

(b)

2.2

(c)

2.02

(d)

2.002.

33.

The rule, which gives the number of matchsticks required to make the matchstick pattern L, is

(a)

(b)

(c)

4 n

(d)

5 n.

34.

Observe the following bar graph and answer the related questions:

What is the total number of students?

(a)

2600

(b)

2000

(c)

3600

(d)

1600

35.

The equivalent fractions of \(\frac { 2 }{ 5 } \) with numerator 4 is

(a)

\(\frac { 4 }{ 10 } \)

(b)

\(\frac { 4 }{ 12 } \)

(c)

\(\frac { 4 }{ 16 } \)

(d)

\(\frac { 4 }{ 20 } \)

36.

123 to the nearest tens is

(a)

130

(b)

120

(c)

125

(d)

123

37.

How many right angles do you make if you start facing east and turn clockwise to east?

(a)

(b)

(c)

(d)

38.

Which of the following numbers is not a triangular number?

(a)

(b)

(c)

(d)

39.

The perimeter of a rectangle, whose sides are 1m 30 cm and 70 cm, is

(a)

20 m

(b)

4 m

(c)

0.2 m

(d)

2 m 30 cm

40.

Every integer less than 0 has the sign

(a)

(b)

(c)

\(\times\)

(d)

Generic 3

3 x 3 = 9

41.

Fill the entries in the blanks left:

Number	T Crore	Crore	TLakh	Lakh	TTh	Th	H	T	O
2,57,34,543	-	2	5	7	3	4	5	4	3

Number Name
....................
65,32,75,829 6 5 3 2 7 5 8 2 9
Sixty five crore thirty two lakh seventy five thousand eight hundred twenty nine.

42.

Saurabh takes 15 min to reach school from his houseand Sachin takes one hour to reach school from his house. Find the ratio of the time taken by Saurabh to the time taken by Sachin.

43.

Look at the following matchstick pattern of squares.The squares are not separate. Two neighbouring squares have a common matchstick. Observethe patterns and find the rule that gives the number of matchsticks in terms of the number of squares.

Generic 5

2 x 5 = 10

44.

Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5 and 6 respectively.

45.

Soniya saves Rs 500 in January, Rs 700 in February, Rs 600 in March, Rs 750 in April and Rs 900 in May.
(a) Draw a bar graph to represent Soniya's saving.
(b) In which month, her saving is maximum?
(c) What value is depicted by Soniya?

1 Marks

5 x 1 = 5

46.

Is\(\left( \frac { y }{ 3 } +5 \right) \)allowed? Is (y + 8) allowed? Is 15y allowed?

47.

Name the numerator of \(\frac { 3 }{ 7 } \)and the denominator of \(\frac { 4 }{ 15 } \)

48.

In step 2 above, what would happen if we take radius to be smaller than half the length BC?

49.

Are there angles smaller than a right angle?

50.

Write down the greatest 6-digit number and the smallest 7-digit number.

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Answers Key:

Generic 2

10 x 2 = 20

\(\frac { 1 }{ 5 } +\frac { 2 }{ 5 } =\frac { 1+2 }{ 5 } =\frac { 3 }{ 5 } \)

The shapes we see here are symmetrical because when we fold it along the dotted line, one half of the drawing exactly fits over the other half.

Rs 1779.75

Given, figure is covered by 9 full squares.
∴ Area =9 \(\times\) 1 sq unit = 9 sq units

The possible expressions formed by three numbers 5, 7 and 8 are
5 + (8 - 7), 5 - (8 - 7), (5\(\times\)8) + 7, (5 + 8) + 7,
5 - (8\(\times\)7), (5 + 8) - 7, (5 \(\times\) 8) - 7,8\(\times\)(7 + 5) etc.

12, 8

15 and 37

To get the integer 6 less than 2, we start from 2 and move 6 steps to the left of 2 and reach at -4, asshown in the figure given below:

Hence, 6 less than 2 is -4.

5800.

10.

Both 97632 and 96543 have same number of digits i.e. five. Now, compare them by looking at the digits at ten thousand place, which is 9 for both the numbers.
Next, compare the second digit from the left. Here, it is 7 in 97632 and 6 in 96543.
Since, 7> 6
So, 97632> 96543

Fill up / 1 Marks

10 x 1 = 10

11.

()
6:5

12.

()
right, triangle.

13.

()
one.

14.

()
Composite Numbers

15.

()
Uniform, equal

16.

()
no

17.

()
three

18.

LHS = 45 - (-11) = 45 + 11 [ \(\because\) additive inverse of -11 is 11 ]
= 56
RHS = 57 + (-4) = 53 + 4 + (-4) = 53 + 0 = 53
Here, both are posiive integers, but 56 is to the right of 53.
\(\therefore\) 56 > 53

19.

()
0

20.

()
\(\frac { 3 }{ 5 } \)\(\boxed { < } \)1

Match the following

5 x 1 = 5

21.

()
Obtuse angled

22.

()
Right angled

23.

()

24.

()
Equilateral

25.

()
Half of a revolution

True or False

5 x 1 = 5

26.

(b)
False

27.

(a)
False

28.

(b)
False

29.

(a)
False

30.

(a)
False

Multiple Choice Question

10 x 1 = 10

31.

(a)
11

32.

(b)
2.2

33.

(a)
2n

34.

(a)
2600

35.

(a)
\(\frac { 4 }{ 10 } \)

36.

(b)
120

37.

(d)
4

38.

39.

(b)
4 m

40.

We know that, all the negative integers are less than zero and they have '-' sign.

Generic 3

3 x 3 = 9

41.

Number	T Crore	Crore	TLakh	Lakh	TTh	Th	H	T	O
2,57,34,543	-	2	5	7	3	4	5	4	3

Number Name: Two crore fifty seven lakh thirty four thousand five hundred forty three.
65,32,75,829 6 5 3 2 7 5 8 2 9
Sixty five crore thirty two lakh seventy five thousand eight hundred twenty nine.

42.

Here, time taken by Saurabh is in minutes and time taken by Sachin is in hours. So,we have to convert time taken by both into the same unit.
\(\therefore\) Time taken by Sachin = 1 h = 1 X 60 min = 60 min [\(\because\)1 h =60 min]
and time taken by Saurabh = 15 min
\(\therefore\) Ratio of time taken by Saurabh to the time taken by Sachin \(=\frac{Time\ taken\ by\ Saurabh}{Time\ taken\ by\ Sachin}=\frac{15}{60}=\frac{15\div15}{60\div15}=\frac{1}{4}=1:4\) [\(\because\) HCF of 15 and 60=15]
Hence, the required ratio is 1 : 4.

43.

In figure,
(a) Number of squares = 1 and number of matchsticks = 4 = 3\(\times\)1+ 1 = 3 x Number of square + 1
(b) Number of squares = 2 and number of matchsticks = 7 = 3\(\times\)2 + 1 = 3 x Number of squares + 1
(c) Number of squares = 3 and number of matchsticks = 10 = 3\(\times\)3 + 1 =3 x Number of squares + 1
(d) Number of squares = 4 and number of matchsticks = 13 =3\(\times\)4 +1 = 3 x Number of squares + 1
Thus, if number of squares = x
Then, number of matchsticks = 3\(\times\)Number of squares + 1 =3x+1
Hence, the required rule that gives the number of
matchsticks is 3x + 1,where x is the number of squares.

Generic 5

2 x 5 = 10

44.

For the required number, we must find the HCF of (445 - 4), (572 - 5)and (699 - 6) i.e. 441, 567and 693
\(\therefore\)

\(\therefore\) HCF of 441 and 567 is 63.
Now, we will find the HCF of 63 and 693
HCF of 63 and 693 is 63.
Hence, HCF of 441, 567 and 693 = 63
\(\therefore\) The required number = 63