6th Standard Mathematics Important Question For All Chapters 2020

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Questions:

Multiple Choice Question

20 x 1 = 20

Number of ordinary years between two consecutive leap years is _______________

(a)

4 years

(b)

2 years

(c)

1 year

(d)

3 years

3 weeks = ___________ days

(a)

(b)

(c)

(d)

Which is the greatest? 0.007 g, 70 mg, 0.07 cg

(a)

0.07 cg

(b)

0.007 g

(c)

70 mg

(d)

all are equal

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

(a)

(b)

100

(c)

128

(d)

160

Which of the following numbers is not a prime?

(a)

(b)

(c)

(d)

Which of the following fractions is not a proper fraction?

(a)

\(\frac { 1 }{ 3 } \)

(b)

\(\frac { 2 }{ 3 } \)

(c)

\(\frac { 5 }{ 10 } \)

(d)

\(\frac { 10 }{ 5 } \)

The pictorial representation for a phrase is a__________.

(a)

Picto

(b)

Tally mark

(c)

Frequency

(d)

Data

Which of the following expressions is not zero?

(a)

0 \(\times\) 0

(b)

0 + 0

(c)

2 / 0

(d)

0 / 2

(53 + 49) \(\times\) 0 is

(a)

102

(b)

(c)

(d)

53 + 49 \(\times\)0

10.

The tally marks represents the number count

(a)

(b)

(c)

(d)

11.

The tally marks for the number 7 in standard form is_____________.

(a)

(b)

(c)

(d)

12.

In this Figure, ∠AYZ = 45°. If point ‘A’ is shifted to point ‘B’ along the ray, then the measure of ∠BYZ is ___________
.

(a)

more than 45°

(b)

45°

(c)

Less than 45°

(d)

90°

13.

In this Figure, which is not the correct way of naming an angle?

(a)

∠Y

(b)

∠ZXY

(c)

∠ZYX

(d)

∠XYZ

14.

If a man walks 2 k.m. in 15 minutes, then he will walk ___________ k.m. in 45 minutes.

(a)

(b)

(c)

(d)

15.

If a barbie doll costs Rs. 90, then the cost of 3 such dolls is Rs. ___________.

(a)

260

(b)

270

(c)

(d)

16.

Which of the following ratios are in proportion?

(a)

3 : 5 , 6 : 11

(b)

2 : 3, 9 : 6

(c)

2 : 5, 10 : 25

(d)

3 : 1, 1 : 3

17.

The value of ‘c’ for which \(\frac{3c}{4}\) gives 18 is

(a)

c = 15

(b)

c = 21

(c)

c = 24

(d)

c = 27

18.

6 less to ‘n’ gives 8 is represented as

(a)

n − 6 = 8

(b)

6 − n = 8

(c)

8 − n = 6

(d)

n − 8 = 6

19.

The expanded form of the number 6,70,905 is

(a)

6 \(\times\) 10000 + 7 \(\times\) 1000 + 9 \(\times\) 100 + 5 \(\times\) 1

(b)

6 \(\times\) 10000 + 7 \(\times\) 1000 + 0 \(\times\) 100 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

(c)

6 \(\times\) 1000000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

(d)

6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

20.

The ratio of the number of sides of a triangle to the number of sides of a rectangle is

(a)

4 : 3

(b)

3 : 4

(c)

3 : 5

(d)

3 : 2

Generic 2

17 x 2 = 34

21.

The official distance of Marathon race is 42.195 km. Express this distance in metre.

22.

Find the smallest number which is exactly divisible by all the numbers from 1 to 9.

23.

Write the smallest and the biggest three digit composite number.

24.

Arrange in ascending order - 123456, 123546, 123623, 123511

25.

The number lock has the password number with 3 digits. The number is least even number and less than 200. Middle digit has no value separately. Find the password. The digits are used only once.

26.

Draw the diagram of two angles having only one common point.

27.

Write the alternate name of the angle

28.

Complete the following pattern.
9 - 1 =
98 - 21 =
987 - 321 =
9876 - 4321 =
98765 - 54321 =
What comes next?

29.

Complete the table and by inspection of the table find the value of m when m +10 = 16.

m	1	2	3	4	5	6	7	8	9	10
m+10	-	-	-	-	-	-	-	-	-	-

30.

Price of oil per litre is Rs.5 more than three times the price of cool drinks Express algebraically. 'p' Rs. Express algebraically

31.

Find the complementary angle of 26º

32.

You have two red and two blue blocks. How many different towers can you build that are four blocks high using these blocks? List all the possibilities.

33.

Name the property being illustrated in each of the cases given below. 50 \(\times\) 42 = 50 \(\times\) 40 + 50 \(\times\)2

34.

Viji threw a die 30 times and noted down the result each time as follows. Prepare a table on the numbers shown using Tally Marks.
14 3 5 5 6 6 4 3 5 4 5 6 5 2
4 2 6 5 5 6 6 4 5 6 6 5 4 1 1

35.

Identify the types of angles shown by the hands of the given clock.
(i)

(ii)

(iii)

(iv)

(v)

36.

Answer the following questions.
What is the value of ‘s’, if '2s - 6' gives 30?

37.

Complete the table.

Days	28	21	?	63
Weeks	4	3	2	?

Generic 3

11 x 3 = 33

38.

If Wednesday falls on 20^thof December 2017. What is the day on 8^th june 2018? Also say the number of days between these two dates.

39.

What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

40.

A piece of wire is '12 s' cm long. What will be length of the side if it is formed as
(i) an equilateral triangle.
(ii) a square?

41.

Draw the following angles using the protractor.
38º

42.

The fruits liked by the students of a class are as follows. Draw a Bar Graph for this data.

Fruits	Bananas	Grapes	Apples	Mangoes	Guavas	Papayas	Other fruits
Number of students	8	10	8	7	12	3	2

43.

How many triangles are there in the given figures?

44.

How many triangles are there in the given figures?

45.

Use the properties of whole numbers and simplify. 4 \(\times\) 132 \(\times\) 25

46.

The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition are in the ratio 10 : 11. If they had scored a total of 84 points in the competition, then how many points did Kavitha get?

47.

Gopal is 8 years younger to Karnan. If the sum of their ages is 30, how old is Karnan?

48.

Which of the two ratios is larger? 4 : 5 or 8 : 15

Generic 5

6 x 5 = 30

49.

The arrival and departure timings of the Chennai - Trichy Express are given below.

Station	Arrival	Departure
Chennai Egmore	-	20:30
Chengalpattu	21:30	21:32
Villupuram junction	23:15	23:25
Virudhachalam junction	00:07	00:10
Trichy	04:30	-

(i) At what time does the train depart from Chennai Egmore to arrive at Trichy? The train departs from Egmore at 20:30 hours to arrive Trichy at 4:30 hours.
(ii) How long does it halt at Villupuram? It halts at Villupuram for 10 minutes.
(iii) How many halts are there in between Chennai and Trichy? There are 3 halts (1) Chengalpattu (2) Villupuram (3) Virudhachalam
(iv) Find the total journey time of the train from Chennai to Trichy.

50.

Following are the choice of sports for 20 students of class VI.

Cricket	Football	Cricket	Tennis	Cricket
Badminton	Football	Cricket	Football	Tennis
Cricket	Badminton	Basketball	Football	Golf
Football	Hockey	Football	Hockey	Cricket

Arrange the names of sports in a table using tally marks.

51.

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many smallest squares are there in each of the rectangles P, Q, Rand S?
(ii) Fill in the boxes

Rectangles	P	Q	R	S	T
Number of small size squares along the breadth	2	2	?	2	2
Number of squares along the length	1	4	3	?	X
Total number of squares in rectangle	?	8	?	10	?

52.

Put the numbers 1, 2, 3, 4, 5, 6, & 7 in the circles so that each straight line of three numbers add up to the same total.

53.

You purchase 6 apples for Rs. 90 and your friend purchases 5 apples for Rs. 70. Whose purchase is better?

54.

The amount deposited by a Gold merchant in his bank account in the month of January is Rs 17,53,740 and in the month of February is Rs 15,34,300. Estimate the sum and difference of the amount deposited to the nearest thousand.

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Answers Key:

Multiple Choice Question

20 x 1 = 20

(d)
3 years

(a)
21

(a)
80

(b)
92

(d)
\(\frac { 10 }{ 5 } \)

(a)
Picto

(b)
0

10.

11.

12.

(b)
45°

13.

(b)
∠ZXY

14.

15.

(b)
270

16.

17.

18.

(a)
n − 6 = 8

19.

(d)
6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

20.

(b)
3 : 4

Generic 2

17 x 2 = 34

21.

The official distance of Marathon race is 42.195 km.
1 km = 1000 m
= 42195 m

22.

Given: numbers are 1 to 9.

Therefore the smallest number
= \(2 \times 2 \times 3 \times 3 \times 5 \times 7 \times 2\)
= 2520

23.

The smallest 3 digit composite number = 100
The biggest three digit composite number = 999

24.

123456 < 123511 < 123546 < 123623

25.

102

26.

\(\angle COD\ and\ \angle AOB\) have the point 'O' in common

27.

\(\angle ZYX \)

28.

9 -1 = 8
98 - 21 = 77
987 - 321 = 666
9876 - 4321 = 5555
98765 - 54321 = 44444
Next will be
987654 - 654321 = 333333

29.

m	1	2	3	4	5	6	7	8	9	10
m+10	11	12	13	14	15	16	17	18	19	20

From the table m + 10=16 When m =6

30.

Price of cool drinks per kg =P Rs.
Three times = 3P
5 Rs. more = 3P +5
\(\therefore \) Price of oil per kg = 3P +5

31.

Complementary angle of 26º = 90º - 26º = 64º

32.

6 possibilities,
i) R - B - R - B
ii) R - R - B - B
iii) B - R - R - B
iv) B - R - B - R
v) B - B - R - R
vi) R - B - B - R
(R- RED, B- BLUE)

33.

Distributivity of Multiplication over Addition

34.

35.

(i) Obtuse angle
(ii) Zero angle
(iii) Straight angle
(iv) Acute angle
(v) Right angle

36.

2s - 6 = 30
2s = 30 + 6
2s = 36
s = 36/2
s = 18

37.

Days	28	21	14	63
Weeks	4	3	2	9

14 days, 9 weeks

Generic 3

11 x 3 = 33

38.

Month	Days
December	12 (31-9)
January	31
February	28 (2018 is a non-leap year)
March	31
April	30
May	31
June	07
Total	170 days

170 day \(\div \) 7 (why?)
170 days = 24 weeks + 2 days
Required day is the second day after Wednesday.
Therefore 8^th of june is Friday.

39.

Get all the common factors of 62 − 2, 78 − 3 and 109 − 4, i.e., 60, 75 and 105 and see that the common factors will divide them all. The greatest number is the H.C.F of 60, 75 and 105.
60 = 2 \(\times\) 2 \(\times\) 3 \(\times\) 5 75 = 3 \(\times\) 5 \(\times\) 5 105 = 3 \(\times\) 5 \(\times\) 7
Hence, the HCF is 3 \(\times\) 5=15, which is the greatest number that will divide 62, 78, 109 leaving remainders 2, 3 and 4 respectively.

40.

(i) An equilateral triangle has 3 equal sides.
Length of the wire = '12 s' cm
\(\therefore \) Length of each side =\(\frac { 12s }{ 3 } cm\)
Length of each side of the triangle =4s cm
(ii) A square has four equal sides.
\(\therefore \) Length of each side \(\frac { 12s }{ 3 } cm\)
Length of each side of the square = 3s cm.

41.

Construction:
(i) Placed the centre of the protractor at the vertex L. Lined up the ray \(\overline { LM } \) with the 0° line. Then draw and labelled a point N at 38° mark on the
(a) inner scale (anticlockwise) and
(b) outer scale (clockwise).
(ii) Removed the protractor and draw \(\overline { LN } \) to complete the angle.

42.

43.

A, B, C, D, & E are five triangles.
No combination of these triangles taken 2 at a time, form any triangle.
Only the combinations of A, F & C; A, F & D; B, F & E; B, F & D and C, F & E form triangles when taken 3 triangles at a time.
Hence, the total number of triangles = 5 + 5 = 10.

44.

A, B, C, D are four triangles.
Combining A & D, B & D and D & C do not form any triangles.
Combining A, B & D; A, C & D and B, D & C also do not form any triangles.
Combining A, B, C & D = 1 triangle
\(\therefore\)Total number of triangles = 4 +1 = 5

45.

We know that multiplication is associative
\(\therefore\) 4 \(\times\) 132 \(\times\) 25 = 4 \(\times\) 25 \(\times\) 132
= 100 \(\times\) 132
= 13200
4 \(\times\) 132 \(\times\) 25 = 13200.

46.

Correct answers given by Kaarmugilan and Kavitha are in the ratio 10:11
Total of 84 points will be divided into 10 + 11 = 21 equal parts
Points scored by Kavitha = \(\frac { 11 }{ 21 } \) \(\times\) 84 = 44 points
∴ Kavitha scored 44 points in the quiz.

47.

48.

\(4:5=\frac{4}{5}\times\frac{3}{3}=\frac{12}{15}\)
\(8:15=\frac{8}{15}\)
Here \(\frac{12}{15}\) larger than \(\frac{8}{15}\) and 4: 5 is larger than 8: 15

Generic 5

6 x 5 = 30

49.

If the journey crosses the midnight, calculate the time duration from starting hours to midnight, then from midnight to arrival time.

Method-1	Method-2
Duration up to midnight	Total journey time = 3 hours 30 minutes+4 hours 30 minutes = 7 hours 60 minutes = 7 hours +1 hour = 8 hours
Duration from midnight to arrival = 4 hours 30 minutes Total journey time = Duration up to midnight + Duration from midnight to arrival = 3 hours 30 minutes + 4 hours 30 minutes = 7 hours 60 minutes = 7 hours + 1 hour = 8 hours

50.

51.

Rectangles	P	Q	R	S	T
Number of small size squares along the breadth	2	2	2	2	2
Number of squares along the length	1	4	3	5	X
Total number of squares in rectangle	2	8	6	10	2x

52.

Here there are even number of terms.
Also we know that 1 + 6 = 7, 2 + 5 = 7, 3 + 4 = 7;
so placing 7 at the centre, and the pairs (1, 6) (2, 5) and (3, 4) at the opposite ends we get, the answer.

53.

In my purchase cost of 6 apples = Rs. 90
∴ cost of 1 apple = \(\frac { 90 }{ 6 } \) = Rs. 15
In my friend's purchase cost of 5 apples = Rs. 70
∴ Cost of apple =\(\frac { 70 }{ 5 } \) = Rs. 14
My friend buy for lower prize.
∴ My friend's purchase is a better buy.

54.

Rounding off to the nearest thousand is as follows.

	Actual Amount	Estimated Amount
Amount deposited in January	Rs. 17,53,740	Rs. 17,54,000
Amount deposited in February	Rs 15,34,400	Rs. 15,34,000
Total amount deposited	Rs 32,88,140	Rs. 32,88,000
Difference between the amounts deposited	Rs 2,19,340	Rs 2,20,000