#### Important Question Part-IV

6th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 100

Section - I

20 x 1 = 20
1. 1 billion is equal to ___________

(a)

100 crore

(b)

100 million

(c)

100 lakh

(d)

10000 lakh

2. The successor of 10 million is

(a)

1000001

(b)

10000001

(c)

9999999

(d)

100001

3. Which list of numbers is in order from the smallest to the largest?

(a)

1468, 1486, 1484

(b)

2345, 2435, 2235

(c)

134205, 134208, 154203

(d)

383553, 383548, 383642

4. Radha is ‘x’ years of age now. 4 years ago, her age was

(a)

x − 4

(b)

4 − x

(c)

4 + x

(d)

4x

5. 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

6. The ratio of Rs1 to 20 paise is __________.

(a)

1: 5

(b)

1: 2

(c)

2: 1

(d)

5: 1

7. 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

8. If 2 : 3 and 4: ___ are equivalent ratios, then the missing term is

(a)

6

(b)

2

(c)

4

(d)

3

9. Which of the following fractions is not a proper fraction?

(a)

$\frac { 1 }{ 3 }$

(b)

$\frac { 2 }{ 3 }$

(c)

$\frac { 5 }{ 10 }$

(d)

$\frac { 10 }{ 5 }$

10. The equivalent fraction of $\frac { 1 }{ 7 }$ is _____________

(a)

$\frac { 2 }{ 15 }$

(b)

$\frac { 1 }{ 49 }$

(c)

$\frac { 7 }{ 49 }$

(d)

$\frac { 100 }{ 7 }$

11. A line is denoted as

(a)

AB

(b)

$\overleftarrow { AB }$

(c)

$\overrightarrow { AB }$

(d)

$\overleftrightarrow { AB }$

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

(a)

7

(b)

(c)

(d)

14. A Pictograph is also known as____________.

(a)

Pictoword

(b)

Pictogram

(c)

Pictophrase

(d)

Pictograft

15. The spaces between any two bars in a bar graph___________.

(a)

can be different

(b)

are the same

(c)

are not the same

(d)

all of these

16. The prime factorisation of 60 is 2 $\times$ 2 $\times$ 3 $\times$ 5. Any other number which has the same prime factorisation as 60 is

(a)

30

(b)

120

(c)

90

(d)

impossible

17. Which of the following cannot be the HCF of two numbers whose LCM is 120?

(a)

60

(b)

40

(c)

80

(d)

30

18. 9 m 4 cm is equal to ____________

(a)

94 cm

(b)

904 cm

(c)

9.4 cm

(d)

0.94 cm

19. 7 km – 4200 m is equal to ____________

(a)

3 km 800 m

(b)

2 km 800 m

(c)

3 km 200 m

(d)

2 km 200 m

20. Number of ordinary years between two consecutive leap years is _______________

(a)

4 years

(b)

2 years

(c)

1 year

(d)

3 years

21. Section - II

17 x 2 = 34
22. How many ten thousands are there in the smallest 6 digit number?

23. The heights of five boys in class VI are 135, 141, 129, 132, 145 (in centimeters) in height. Arrange their heights as how they stand in the assembly?

24. Find the numbers between 572634 and 562634 which is approximated to ten thousands place

25. The teacher asked two students to write the algebraic statement for the verbal statement “8 more than a number”. Vetri wrote ‘8 + x’ but Maran wrote ‘8x’. Who gave the correct answer?

26. Given 'n' students like ice cream. What may 2n show?

27. 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 - - - - - - - - - -
28. Complete the following pattern.
9-1=
98-21=
987-321=
9876-4321=
98765-54321=
What comes next?

29. Malarkodi has 10 oranges. If she ate 4 oranges, what fraction of oranges she was not eaten by her?

30. Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

31. Find the complementary angle of  85º

32. In the following Figure, name the angles.

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

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. Find the number of dots in the tenth figure of the following patterns.

36. The LCM of two numbers is 6 times their HCF. If the HCF is 12 and one of the numbers is 36, then find the other number.

37. Find the sum of all the prime numbers between 10 and 20 and check whether that sum is divisible by all the single digit numbers.

38. Observe and Collect the data for a minute:

 i. Number of times a person breathes ii. Number of situps ii. Number of times heart beats iv. Number of claps iii. Number of times the eyes blink vi. Number of lines to write iv. Distance by walking viii. Number of lines to read v. Distance by running x. Number of Tamil verbs to say
39. Section - III

11 x 3 = 33
40. Write the largest six digit number and put commas in the Indian and the International Systems.

41. If ‘u’ is an even number, how would you represent
(i) the next even number?
(ii) the previous even number?

42. Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically

43. Divide the numbers given below in the required ratio. 20 in the ratio 3 : 2

44. A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators.

45. Draw the following angles using the protractor.180º

46. Chitra has to buy Laddus in order to distribute to her friends as follows:

 Classes VI VII VIII IX X Number of Laddus 70 60 45 80 55

Draw a Bar Graph for this data.

47. Suppose, you have two shorts, one is black and the other one is blue; three shirts which are in white, blue and red. You again wish to make different combinations, but you always want to make sure that the shorts and shirt that you wear are of different colours. List and check how many combinations are possible now.

48. Find the number of dots in the tenth figure of the following patterns.

49. The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

50. In a JRC one day camp, 150 gm of rice and 15 ml oil are needed for a student. If there are 40 students to attend the camp how much of rice and oil are needed?

51. Section - IV

6 x 5 = 30
52. Study the following table and answer the questions.

Year   No. of Tigers
1990 3500
2008 1400
2011 1706
2014 2226

(i) How many tigers were there in 2011?
(ii) How many tigers were less in 2008 than in 1990?
(iii) Did the number of tigers increase or decrease between 2011 and 2014? If yes, by how much?

53. 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 ?
54. A line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.

55. Total number of students of a school in different years is shown in the following table

Years Number of Students
1996 800
1997 500
1998 450
1999 600
2000 950

A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions
(a) How many symbols represent total number of students in the year 2000?
(b) How many symbols represent total number students in the year 1997?

56. Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

57. 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.