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Q:

How will the number 3,53,552 be read out according to Indian System?

A:
Three lakh fifty three thousand five hundred fifty two
Q:

Write the smallest 4-digit number with the last digit as 5.

A:
1005
Q:

What is the HCF of two prime numbers?

A:
The HCF of two prime numbers is 1.
Q:

Can a triangle have two obtuse angles ?

A:
No, because the sum of two obtuse angles is more than 180° and this is not possible in the triangle.
Q:

Write the following situation as integer with appropriate sign.
a bank withdrawal of INR 500

A:

-500

Q:

Reduce to simplest form.

A:
Q:

Write 0.999 as fraction. Reduce the fraction to lowest term.

A:
Q:

The marks of hindi test conducted in a class of 40 students are as follows:
30, 54, 61, 83, 47, 93, 26, 78, 64, 55
80, 56, 43, 67, 94, 73, 48, 39, 84, 63
54, 61, 92, 43, 24, 84, 72, 36, 57, 90
77, 69, 42, 56, 74, 81, 46, 34, 29, 40
Prepare a table with tally marks.

A:
Q:

In a Mathematics test, marks obtained by the 40 students are as follows, arrange them in a table by using the tally marks.

8 1 3 7 6 5 5 4 4 2

4 9 5 3 7 1 6 5 2 7

7 3 8 4 2 8 9 5 8 6

7 4 5 6 9 6 4 4 6 6

Also find:

(a) How many students obtained maximum marks.

(b) How many students obtained minimum marks.

(c) How many students obtained marks more than 4.

A:

Marks Obtained

Tally Marks

Number of Students

1

||

2

2

|||

3

3

|||

3

4

||

7

5

|

6

6

||

7

7

5

8

||||

4

9

|||

3

a) 3 students secured maximum marks (frequency of 9 is 3).

b) 2 students secured minimum marks (frequency of 1 is 2).

c) 25 students secured more than 4 marks (Total frequency of 5,6,7,8,9 marks = 6+7+5+4+3= 25).

Q:

The number of English books sold by a shopkeeper on six consecutive days is shown below:

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Number of Books Sold

60

55

50

45

30
Draw a bar graph to represent the above information choosing the scale of your choice.

A:
Q:

Write in Roman numerals.
(a) 65
(b) 77

A:
(a) 65 = 50+10+5 = L+X+V = LXV
(b) 77 = 50+10+10+7= L+X+X+VII = LXXVII
Q:

Find 7 X 109 using distributivity.

A:

7 X 109

= 7 X (100 + 9)

=7 X 100 + 7 X 9

= 700 + 63

= 763

Q:

Find all possible factors of 64.

A:

1 64
2 32
4 16
8 8
The possible factors are 1, 2, 4, 8, 16, 32 and 64

Q:

Fill in the blank:



(i) AC = AB + ____
(ii) BC = BD – ____.

A:

(i) BC
(ii) CD

Q:

Can a right-angled triangle have two right angles ?

A:
No, as the sum of two right–angles will be 180 ° and the third angle cannot be zero.
Q:

Draw a number line and represent the following number:

(a) + 8

(b) –10

A:

Q:

Draw a number line and locate the points on it.

A:

Q:

Write the following numbers as decimal.
a) Two ones and five-tenths
b) Three hundred and three-tenths

A:
Q:

The marks of hindi test conducted in a class of 40 students are as follows:
30, 54, 61, 83, 47, 93, 26, 78, 64, 55
80, 56, 43, 67, 94, 73, 48, 39, 84, 63
54, 61, 92, 43, 24, 84, 72, 36, 57, 90
77, 69, 42, 56, 74, 81, 46, 34, 29, 40
Prepare a table with tally marks.

A:
Q:

The town newspaper is published every day. One copy has 15 pages. Everyday 13,560 copies are printed. How many total pages are printed everyday?

A:

Each copy has 15 pages.
Hence 13,560 copies = 15 13,560 pages
Therefore,


Everyday 2,03,400 pages are printed.

Q:

Multiply using suitable rearrangements. 25 x 7896 X 4 X 50 X 2

A:

(25 X 4) X 7896 X (50 X 2)

=100 X 7896 X 100

=78960000

Q:

Check whether 438750 is divisible by 2, 4 and 5. Give reasons.

A:

Given no 438750

DIVISIBILITY BY

2 Yes, since units place is even.

4 No, since the number formed by last 2 digits is 50 which is not divisible by 4.

5 Yes, since units place is 0.

Q:

For a quadrilateral MNOP,

a) Name two pairs of opposite sides.
b) Name four pairs of adjacent sides.
c) Name two pairs of opposite angles.

A:

a) PO and MN; PM and ON.

b) OP and PM; PM and MN; MN and NO; NO and OP.

c) P and N; M and O.

Q:

Count the number of sides of the following polygons and name them.

A:

(i) 6 sides, Hexagon (ii) 8 sides, Octagon

Q:

Fill in the blanks with >, < or = sign.
(-3) + (-7) ____ (-7) - (-3)

A:

(-3) + (-7) = -10
(-7) - (-3) = -7 + 3 = -4
-10 < -4
Therefore, (-3) + (-7) < (-7) - (-3)

Q:

Reduce the following fractions to simplest form:

A:
Q:

Convert into fractions.
a) 13.8
b) 13.08
c) 13.008

A:
Q:

In a Mathematics test, marks obtained by the 40 students are as follows, arrange them in a table by using the tally marks.

8 1 3 7 6 5 5 4 4 2

4 9 5 3 7 1 6 5 2 7

7 3 8 4 2 8 9 5 8 6

7 4 5 6 9 6 4 4 6 6

Also find:

(a) How many students obtained maximum marks.

(b) How many students obtained minimum marks.

(c) How many students obtained marks more than 4.

A:

Marks Obtained

Tally Marks

Number of Students

1

||

2

2

|||

3

3

|||

3

4

||

7

5

|

6

6

||

7

7

5

8

||||

4

9

|||

3

a) 3 students secured maximum marks (frequency of 9 is 3).

b) 2 students secured minimum marks (frequency of 1 is 2).

c) 25 students secured more than 4 marks (Total frequency of 5,6,7,8,9 marks = 6+7+5+4+3= 25).

Q:

Estimate the following products: (i) 87313 (ii) 898784

A:
Q:

Find the least five-digit number which when divided by 20, 40, 75 leaves remainder 9 in each case.

A:
First we find the L.C.M of 20, 40, and 75

2

20, 40, 75

2

10, 20, 75

2

5, 10 75

5

5, 5 75

5

1 1, 15

3

1, 1, 3

1, 1, 1

LCM = 2 2 2 5 5 3 = 600

Least 5 digit number = 10000

16
600) 10000

600

4000

3600

400

Since remainder is 400 it needs 200 more, to be fully divisible by 600.
Required no = 10000 + (200 + 9)[We need the number that leaves remainer 9]

= 10209

Q:

Define the following terms:
(i) Line segment, (ii) Line, (iii) Intersecting lines, (iv) Parallel lines.

A:
(i) Line Segment: A line segment corresponds to the shortest distance between two points. The line segment joining points A and B is denoted by .
(ii) Line: A line is obtained when a line segment is extended on both sides indefinitely.
(iii) Intersecting lines: Two distinct lines meeting at a point are called intersecting lines.
(iv) Parallel lines: Two lines in a plane are said to be parallel if they do not meet.
Q:

Solve the following.
(i) The sum of two integers is – 20. If one integer is 20, find the other integer.
(ii) The sum of two integers is 147. If one integer is – 59, find the other integer.

A:

(i) Sum of two integers = – 20
One integer = 20
Second integer = – 20 – 20
= – 40

(ii) Sum of two integers = 147
One integer = – 59
Second integer = 147 – (– 59)
= 147 + 59
= 206

Q:

Solve the following.

A:
Q:

A rope is of length 7.47 m. If 2.43 m is cut from it, how much rope is left?
Is this rope sufficient to tie a cloth line between two hooks which are 6 m apart?

A:
Q:

The number of English books sold by a shopkeeper on six consecutive days is shown below:

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Number of Books Sold

60

55

50

45

30
Draw a bar graph to represent the above information choosing the scale of your choice.

A:
Q:

How will the number 3,53,552 be read out according to Indian System?

A:
Three lakh fifty three thousand five hundred fifty two
Q:

Write the smallest 4-digit number with the last digit as 5.

A:
1005
Q:

What is the HCF of two prime numbers?

A:
The HCF of two prime numbers is 1.
Q:

Can a triangle have two obtuse angles ?

A:
No, because the sum of two obtuse angles is more than 180° and this is not possible in the triangle.
Q:

Write the following situation as integer with appropriate sign.
a bank withdrawal of INR 500

A:

-500

Q:

Reduce to simplest form.

A:
Q:

Write 0.999 as fraction. Reduce the fraction to lowest term.

A:
Q:

The marks of hindi test conducted in a class of 40 students are as follows:
30, 54, 61, 83, 47, 93, 26, 78, 64, 55
80, 56, 43, 67, 94, 73, 48, 39, 84, 63
54, 61, 92, 43, 24, 84, 72, 36, 57, 90
77, 69, 42, 56, 74, 81, 46, 34, 29, 40
Prepare a table with tally marks.

A:
Q:

In a Mathematics test, marks obtained by the 40 students are as follows, arrange them in a table by using the tally marks.

8 1 3 7 6 5 5 4 4 2

4 9 5 3 7 1 6 5 2 7

7 3 8 4 2 8 9 5 8 6

7 4 5 6 9 6 4 4 6 6

Also find:

(a) How many students obtained maximum marks.

(b) How many students obtained minimum marks.

(c) How many students obtained marks more than 4.

A:

Marks Obtained

Tally Marks

Number of Students

1

||

2

2

|||

3

3

|||

3

4

||

7

5

|

6

6

||

7

7

5

8

||||

4

9

|||

3

a) 3 students secured maximum marks (frequency of 9 is 3).

b) 2 students secured minimum marks (frequency of 1 is 2).

c) 25 students secured more than 4 marks (Total frequency of 5,6,7,8,9 marks = 6+7+5+4+3= 25).

Q:

The number of English books sold by a shopkeeper on six consecutive days is shown below:

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Number of Books Sold

60

55

50

45

30
Draw a bar graph to represent the above information choosing the scale of your choice.

A:
Q:

Write in Roman numerals.
(a) 65
(b) 77

A:
(a) 65 = 50+10+5 = L+X+V = LXV
(b) 77 = 50+10+10+7= L+X+X+VII = LXXVII
Q:

Find 7 X 109 using distributivity.

A:

7 X 109

= 7 X (100 + 9)

=7 X 100 + 7 X 9

= 700 + 63

= 763

Q:

Find all possible factors of 64.

A:

1 64
2 32
4 16
8 8
The possible factors are 1, 2, 4, 8, 16, 32 and 64

Q:

Fill in the blank:



(i) AC = AB + ____
(ii) BC = BD – ____.

A:

(i) BC
(ii) CD

Q:

Can a right-angled triangle have two right angles ?

A:
No, as the sum of two right–angles will be 180 ° and the third angle cannot be zero.
Q:

Draw a number line and represent the following number:

(a) + 8

(b) –10

A:

Q:

Draw a number line and locate the points on it.

A:

Q:

Write the following numbers as decimal.
a) Two ones and five-tenths
b) Three hundred and three-tenths

A:
Q:

The marks of hindi test conducted in a class of 40 students are as follows:
30, 54, 61, 83, 47, 93, 26, 78, 64, 55
80, 56, 43, 67, 94, 73, 48, 39, 84, 63
54, 61, 92, 43, 24, 84, 72, 36, 57, 90
77, 69, 42, 56, 74, 81, 46, 34, 29, 40
Prepare a table with tally marks.

A:
Q:

The town newspaper is published every day. One copy has 15 pages. Everyday 13,560 copies are printed. How many total pages are printed everyday?

A:

Each copy has 15 pages.
Hence 13,560 copies = 15 13,560 pages
Therefore,


Everyday 2,03,400 pages are printed.

Q:

Multiply using suitable rearrangements. 25 x 7896 X 4 X 50 X 2

A:

(25 X 4) X 7896 X (50 X 2)

=100 X 7896 X 100

=78960000

Q:

Check whether 438750 is divisible by 2, 4 and 5. Give reasons.

A:

Given no 438750

DIVISIBILITY BY

2 Yes, since units place is even.

4 No, since the number formed by last 2 digits is 50 which is not divisible by 4.

5 Yes, since units place is 0.

Q:

For a quadrilateral MNOP,

a) Name two pairs of opposite sides.
b) Name four pairs of adjacent sides.
c) Name two pairs of opposite angles.

A:

a) PO and MN; PM and ON.

b) OP and PM; PM and MN; MN and NO; NO and OP.

c) P and N; M and O.

Q:

Count the number of sides of the following polygons and name them.

A:

(i) 6 sides, Hexagon (ii) 8 sides, Octagon

Q:

Fill in the blanks with >, < or = sign.
(-3) + (-7) ____ (-7) - (-3)

A:

(-3) + (-7) = -10
(-7) - (-3) = -7 + 3 = -4
-10 < -4
Therefore, (-3) + (-7) < (-7) - (-3)

Q:

Reduce the following fractions to simplest form:

A:
Q:

Convert into fractions.
a) 13.8
b) 13.08
c) 13.008

A:
Q:

In a Mathematics test, marks obtained by the 40 students are as follows, arrange them in a table by using the tally marks.

8 1 3 7 6 5 5 4 4 2

4 9 5 3 7 1 6 5 2 7

7 3 8 4 2 8 9 5 8 6

7 4 5 6 9 6 4 4 6 6

Also find:

(a) How many students obtained maximum marks.

(b) How many students obtained minimum marks.

(c) How many students obtained marks more than 4.

A:

Marks Obtained

Tally Marks

Number of Students

1

||

2

2

|||

3

3

|||

3

4

||

7

5

|

6

6

||

7

7

5

8

||||

4

9

|||

3

a) 3 students secured maximum marks (frequency of 9 is 3).

b) 2 students secured minimum marks (frequency of 1 is 2).

c) 25 students secured more than 4 marks (Total frequency of 5,6,7,8,9 marks = 6+7+5+4+3= 25).

Q:

Estimate the following products: (i) 87313 (ii) 898784

A:
Q:

Find the least five-digit number which when divided by 20, 40, 75 leaves remainder 9 in each case.

A:
First we find the L.C.M of 20, 40, and 75

2

20, 40, 75

2

10, 20, 75

2

5, 10 75

5

5, 5 75

5

1 1, 15

3

1, 1, 3

1, 1, 1

LCM = 2 2 2 5 5 3 = 600

Least 5 digit number = 10000

16
600) 10000

600

4000

3600

400

Since remainder is 400 it needs 200 more, to be fully divisible by 600.
Required no = 10000 + (200 + 9)[We need the number that leaves remainer 9]

= 10209

Q:

Define the following terms:
(i) Line segment, (ii) Line, (iii) Intersecting lines, (iv) Parallel lines.

A:
(i) Line Segment: A line segment corresponds to the shortest distance between two points. The line segment joining points A and B is denoted by .
(ii) Line: A line is obtained when a line segment is extended on both sides indefinitely.
(iii) Intersecting lines: Two distinct lines meeting at a point are called intersecting lines.
(iv) Parallel lines: Two lines in a plane are said to be parallel if they do not meet.
Q:

Solve the following.
(i) The sum of two integers is – 20. If one integer is 20, find the other integer.
(ii) The sum of two integers is 147. If one integer is – 59, find the other integer.

A:

(i) Sum of two integers = – 20
One integer = 20
Second integer = – 20 – 20
= – 40

(ii) Sum of two integers = 147
One integer = – 59
Second integer = 147 – (– 59)
= 147 + 59
= 206

Q:

Solve the following.

A:
Q:

A rope is of length 7.47 m. If 2.43 m is cut from it, how much rope is left?
Is this rope sufficient to tie a cloth line between two hooks which are 6 m apart?

A:
Q:

The number of English books sold by a shopkeeper on six consecutive days is shown below:

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Number of Books Sold

60

55

50

45

30
Draw a bar graph to represent the above information choosing the scale of your choice.

A:
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