CLASS: VI
SUB: MATHEMATICS
MAX MARKS: 80
MAX MARKS: 80
TIME: 3 Hours
Section – A (Any 10) (10 x 1 Mark each =10 Marks)
1. Draw any polygon and shade its interior.
2. How many lines can pass through a) one given point? b) two given points.
3. Which is greater a)0.3 or 0.4 b)0.07 or 0.02.
4. Write opposites of the following:
(a) Increase in weight
(b) 30 km north
5. Using divisibility tests, determine which of the following numbers are divisible by 6:
(a) 1258
6. Name the type of triangle with lengths of sides 7 cm,8 cm and 9 cm.
7. Write the successor of: (a) 2440701 (b) 100199
8. Write the predecessor of : (a) 94 (b) 10000
9. Find all the multiples of 9 up to 100.
10. Which is the smallest whole number?
11. What is the greatest prime number between 1 and 10?
12. Find the value of: 9.756-6.28.
Section – B (Any 10) (10 x 2 Mark each =20 Marks)
13. Find the area of the rectangles whose sides are :3 cm and 4 cm
14. Find the areas of the following figures by counting square:
15. What fraction of a day is 8 hours?
16. Express as rupees using decimals:(a) 5 paise (b) 75 paise
17. Subtract: (a) ₹ 18.25 from ₹ 20.75.
18. Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows)
19. Rani had ₹ 18.50. She bought one ice-cream for ₹ 11.75. How much money does she have now?
20. Solve:\({1\over 18}+{1 \over 18}\)
21. Reduce to simplest form: a)\({48\over 60}\) b)\({150\over 60}\)
22. Find: (a) 35 – (20) (b) 72 – (90)
23. What is the measure of (i) a right angle? (ii) a straight angle?
24. Write first five multiples of : (a) 5 (b) 8
25. Place commas correctly and write the numerals:
a. Seventy-three lakh seventy-five thousand three hundred seven.
b. Fifty-eight million four hundred twenty-three thousand two hundred two.
26. Draw rough diagrams to illustrate the following:
(a) Open curve (b) Closed curve.
27. In each of the following pairs, which number is to the right of the other on the number line?
(a) 2, 9 (b) – 3, – 8
28. Find the sum: (– 7) – 8 – (–25)
29. Write down separately the prime and composite numbers less than 20.
30. Find the perimeter of each of the following figures:
35. Find the ratio of the following:
(a) 81 to 108 (b) 98 to 63
36. Radhika’s mother gave her ₹10.50 and her father gave her ₹15.80, find the total amount given to Radhika by the parents.
Section – D (Any 5) (5 x 4 Mark each =20 Marks)
37. Using the number line write the integer which is:
(a) 3 more than 5
(b) 5 more than –5
38. Find the common factors of:
(a) 20 and 28
(b) 15 and 25
(c) 35 and 50
39. In a Maths test, following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
8 1 3 7 6 5 5 4 4 2 7 3 8 4 2 8 9 5 8 6 4 9 5 3 7 1 6 5 2 7 7 4 5 6 9 6 4 4 6 6
(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
40. Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
41. There are 20 girls and 15 boys in a class.
(a) What is the ratio of number of girls to the number of boys?
(b) What is the ratio of number of girls to the total number of students in the class?
42. Following is the choice of sweets of 30 students of Class VI:
Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?
Section – A (Any 10) (10 x 1 Mark each =10 Marks)
1. Draw any polygon and shade its interior.
2. How many lines can pass through a) one given point? b) two given points.
3. Which is greater a)0.3 or 0.4 b)0.07 or 0.02.
4. Write opposites of the following:
(a) Increase in weight
(b) 30 km north
5. Using divisibility tests, determine which of the following numbers are divisible by 6:
(a) 1258
6. Name the type of triangle with lengths of sides 7 cm,8 cm and 9 cm.
7. Write the successor of: (a) 2440701 (b) 100199
8. Write the predecessor of : (a) 94 (b) 10000
9. Find all the multiples of 9 up to 100.
10. Which is the smallest whole number?
11. What is the greatest prime number between 1 and 10?
12. Find the value of: 9.756-6.28.
Section – B (Any 10) (10 x 2 Mark each =20 Marks)
13. Find the area of the rectangles whose sides are :3 cm and 4 cm
14. Find the areas of the following figures by counting square:
15. What fraction of a day is 8 hours?
16. Express as rupees using decimals:(a) 5 paise (b) 75 paise
17. Subtract: (a) ₹ 18.25 from ₹ 20.75.
18. Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows)
19. Rani had ₹ 18.50. She bought one ice-cream for ₹ 11.75. How much money does she have now?
20. Solve:\({1\over 18}+{1 \over 18}\)
21. Reduce to simplest form: a)\({48\over 60}\) b)\({150\over 60}\)
22. Find: (a) 35 – (20) (b) 72 – (90)
23. What is the measure of (i) a right angle? (ii) a straight angle?
24. Write first five multiples of : (a) 5 (b) 8
Section – C (Any 10) (10 x 3 Mark each =30 Marks)
a. Seventy-three lakh seventy-five thousand three hundred seven.
b. Fifty-eight million four hundred twenty-three thousand two hundred two.
26. Draw rough diagrams to illustrate the following:
(a) Open curve (b) Closed curve.
27. In each of the following pairs, which number is to the right of the other on the number line?
(a) 2, 9 (b) – 3, – 8
28. Find the sum: (– 7) – 8 – (–25)
29. Write down separately the prime and composite numbers less than 20.
30. Find the perimeter of each of the following figures:
31. Determine if the following are in proportion: (a) 15, 45, 40, 120 (b) 33, 121, 9,96
32. What fraction of clockwise revolution does hour hand of clock turn through when it goes from
a)3 to 9 b) 4 to 7.
33. If the cost of 7 m of cloth is ₹1470, find the cost of 5 m of cloth.
34. Shubham painted \({2\over 3}\)of the wall space in his room. His sister Madhavi helped and painted \({1\over 3}\)of the wall space. How much did they paint together?
32. What fraction of clockwise revolution does hour hand of clock turn through when it goes from
a)3 to 9 b) 4 to 7.
33. If the cost of 7 m of cloth is ₹1470, find the cost of 5 m of cloth.
34. Shubham painted \({2\over 3}\)of the wall space in his room. His sister Madhavi helped and painted \({1\over 3}\)of the wall space. How much did they paint together?
35. Find the ratio of the following:
(a) 81 to 108 (b) 98 to 63
36. Radhika’s mother gave her ₹10.50 and her father gave her ₹15.80, find the total amount given to Radhika by the parents.
Section – D (Any 5) (5 x 4 Mark each =20 Marks)
37. Using the number line write the integer which is:
(a) 3 more than 5
(b) 5 more than –5
38. Find the common factors of:
(a) 20 and 28
(b) 15 and 25
(c) 35 and 50
39. In a Maths test, following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
8 1 3 7 6 5 5 4 4 2 7 3 8 4 2 8 9 5 8 6 4 9 5 3 7 1 6 5 2 7 7 4 5 6 9 6 4 4 6 6
(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
40. Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
41. There are 20 girls and 15 boys in a class.
(a) What is the ratio of number of girls to the number of boys?
(b) What is the ratio of number of girls to the total number of students in the class?
42. Following is the choice of sweets of 30 students of Class VI:
Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?
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