Nios Final Paper

N8 Education
Nurturing Young Minds

N8 Education
Final Examination 2022-23
Subject: Mathematics
Grade: 6 NIOS
Date: …………………………… Max. Marks: 100 marks
Time: 3 hour plus 10 minutes reading time
READ THESE INSTRUCTIONS FIRST.
Answer all questions.
This question paper contain 53 questions
All Questions are Compulsory
I – Choose the correct option.
1. Which number is the successor of 987?

a) 986
b) 988
c) 989
d) 990
2. Which is the least number from the following?

a) 0.09
b) 0.019
c) 0.9
d) 0.16
3. What is the reciprocal of 5/8?

a) 8/5
b) 5/8
c) 3/5
d) 4/5
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4. What is the value of 17 + (-14) - 6?
a) -3
b) 3
c) 11
d) -11
5. What is the value of 12.5 ÷ 5?

a) 2.45
b) 0.4
c) 2.5
d) 3.25
6. Which geometric shape has six sides?

a) Square
b) Rhombus
c) Octagon
d) Hexagon
7. Which of the following fractions is equivalent to 4/5?

a) 9/20
b) 8/15
c) 12/15
d) 14/20
8. In the decimal 0.65, which digit is in the hundredths place?

a) 6
b) 5
c) 0
d) 1
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9. Which of the following percentages is equivalent to the fraction 3/4?

a) 30%
b) 75%
c) 300%
d) 750%
10. Which of the following numbers is not a multiple of 3?

a) 999
b) 159
c) 188
d) 234
11. Find the number of right angles turned through by the hour hand of a clock when it goes
from 4 to 10.
(a) 1
(b) 2
(c) 3
(d) 4.
12. Which of the following shapes has four right angles and two pairs of parallel sides?
a) Kite
b) Rhombus
c) Rectangle
d) Trapezoid
13. The sum of two consecutive integers is 13. What are these two numbers?
a) 6 and 7
b) 7 and 8
c) 4 and 5
d) 5 and 6
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14. Which of the following fractions is less than 1/2?
a) 2/5
b) 7/8
c) 5/12
d) 6/11
15. What is the perimeter of a square with a side length of 6 cm?

A. 12 cm
B. 18 cm
C. 24 cm
D. 36 cm
16. What is the ratio of boys to girls in a class of 24 students if there are 16 boys?
A. 1:2
B. 2:1
C. 3:2
D. 2:3
17. What is the perimeter of a triangle with sides of length 4 cm, 7 cm, and 9 cm?
A. 20 cm
B. 26 cm
C. 30 cm
D. 34 cm
18. What is the sum of the angles of a triangle?
A. 90°
B. 180°
C. 270°
D. 360°
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19. What is the area of a triangle with base 6 cm and height 8 cm?
A. 12 cm²
B. 24 cm²
C. 32 cm²
D. 48 cm²
20. What is the perimeter of a regular hexagon with side length 7 cm?
A. 35 cm
B. 42 cm
C. 49 cm
D. 56 cm
21. What is the value of x in the proportion 6/10 = x/15?

A. x = 9
B. x = 6
C. x = 13
D. x = 24
22. How many lines can pass through two given points?
(a) Only one
(b) 2
(c) 4
(d) Countless
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23. How many diagonals are there in the following figure?
(a) 4
(b) 5
(c) 2
(d) 3
24. The angle measure for half a revolution is

(a) 90°
(b) 180°
(c) 360°
(d) none of these.
25. What part of a revolution have you turned through if you stand facing north and turn
clockwise to face west?
(a) 1/4
(b) 1/2
(c) 3/4
(d) none of these.
26. The rule, which gives the number of matchsticks required to make the matchstick
pattern F, is
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
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27. The expression for ‘ -p multiplied by 2’ is
(a) -2p
(b) – p2
(c) p – 2
(d) – p – 2.
28. How many lines of symmetry does a regular hexagon have?

(a) 1
(b) 3
(c) 4
(d) 6
29. Which of the following letters has horizontal line of symmetry?

(a) C
(b) A
(c) J
(d) L.
30. 1 is :
(a) a prime number
(b) a composite number
(c) neither prime nor composite
(d) an even number.
II – Very Short Answers
31. Write number name for 20406578 in Indian System.
32. Estimate 204 + 396 by rounding off to nearest ten.
33. By using test of divisibility check whether 224526 is divisible by 6 or not?

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34. Draw a figure to represent following situation:
a) A closed curve but not a polygon
b) A figure made of straight lines but not a polygon.
35. Represent the following situations using integers:
a) A deposit of rupees five thousand.
b) 30 feet below the sea level.
36. What fraction of a day is 6 hours?
37. Is the given statement true? Show your working
45 km : 60 km = 12 hours : 15 hours
III – Short Answer Questions (12 x 3 = 36)
38. Find the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate
of ` 12 per metre.
39. A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed
to cover the floor of the room?
40. Give expressions in the following cases
a) 5 times y from which 3 is subtracted
(b) y is multiplied by – 8
(c) y is multiplied by – 8 and then 5 is added to the result

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41. Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining
opted table tennis. If a student can opt only one game, find the ratio of
(a) Number of students who opted basketball to the number of students who opted table
tennis.
(b) Number of students who opted cricket to the number of students opting basketball.
(c) Number of students who opted basketball to the total number of students.
42. How many lines of symmetry does the following figure will have:
a) Square
b) Isosceles triangle
c) Trapezium.
43. Construct AB of length 7.8 cm. From this, cut off AC of length 4.7 cm. Measure BC.
44. Find the value of the following using suitable property:
a) 102 x 75
b) 998 x 26 + 998 x 74.
45. Find the LCM and HCF of 12, 20 and 30.
46. Solve the following:
a) ____ – 15 = – 10
b) (– 13) + 32 – 28 – 12
1 7
47. Jaidev takes 2 minutes to walk across the school ground. Rahul takes minutes to do
5 4
the same. Who takes less time and by what fraction?

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48. Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850g flour. Find the total
weight of his purchases.
49. Total number of students of a school in different years is shown in the following table.
Prepare a pictograph of students using one symbol to represent 100 students.
IV – Long Answer Questions:
50. Observe this bar graph which is showing the sale of shirts in a ready made shop from
Monday to Saturday.
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Now answer the following questions:

(a) What information does the above bar graph give?
(b) What is the scale chosen on the horizontal line representing number of shirts?
(c) On which day was the maximum number Of shirts sold? How many shirts were sold on that
day?
(d) On which day was the minimum number shirts sold?
(e) How many shirts were sold on Thursday?
51. Draw any circle and mark
(a) its centre (b) a radius (c) a diameter (d) a sector (e) segment
52. Match the following:
(i) Straight angle (a) less than one-fourth a revolution

(ii) Right angle (b) more than half a revolution
(iii) Acute angle (c) half of a revolution
(iv) Obtuse angle (d) one-fourth a revolution
(v) Reflex angle (e) between 1/4 and 1/2 of a revolution
53. Which of the following statements are true?
(a) If a number is divisible by 3, it must be divisible by 9.
(b) If a number is divisible by 9, it must be divisible by 3.
(c) A number is divisible by 18, if it is divisible by both 3 and 6.
(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.
(e) If two numbers are co-primes, at least one of them must be prime.

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N8 Education

Nurturing Young Minds

Final Examination 2022-23

Date: …………………………… Max. Marks: 100 marks

Time: 3 hour plus 10 minutes reading time

READ THESE INSTRUCTIONS FIRST.

Answer all questions.

This question paper contain 53 questions

All Questions are Compulsory

I – Choose the correct option.

1. Which number is the successor of 987?

2. Which is the least number from the following?

3. What is the reciprocal of 5/8?

5. What is the value of 12.5 ÷ 5?

6. Which geometric shape has six sides?

7. Which of the following fractions is equivalent to 4/5?

8. In the decimal 0.65, which digit is in the hundredths place?

9. Which of the following percentages is equivalent to the fraction 3/4?

10. Which of the following numbers is not a multiple of 3?

15. What is the perimeter of a square with a side length of 6 cm?

21. What is the value of x in the proportion 6/10 = x/15?

24. The angle measure for half a revolution is

28. How many lines of symmetry does a regular hexagon have?

29. Which of the following letters has horizontal line of symmetry?

II – Very Short Answers

31. Write number name for 20406578 in Indian System.

32. Estimate 204 + 396 by rounding off to nearest ten.

33. By using test of divisibility check whether 224526 is divisible by 6 or not?

a) A closed curve but not a polygon

b) A figure made of straight lines but not a polygon.

35. Represent the following situations using integers:

a) A deposit of rupees five thousand.

b) 30 feet below the sea level.

36. What fraction of a day is 6 hours?

37. Is the given statement true? Show your working

III – Short Answer Questions (12 x 3 = 36)

40. Give expressions in the following cases

a) 5 times y from which 3 is subtracted

(c) y is multiplied by – 8 and then 5 is added to the result

44. Find the value of the following using suitable property:

b) 998 x 26 + 998 x 74.

45. Find the LCM and HCF of 12, 20 and 30.

46. Solve the following:

the same. Who takes less time and by what fraction?

IV – Long Answer Questions:

Now answer the following questions:

51. Draw any circle and mark

52. Match the following:

(i) Straight angle (a) less than one-fourth a revolution

53. Which of the following statements are true?

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

(b) If a number is divisible by 9, it must be divisible by 3.

(c) A number is divisible by 18, if it is divisible by both 3 and 6.

(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

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