CLASS VI
QUESTION BANK
CHAPTER – 2
SUB-MATHS
(1 mark)
1. Express 54 as the sum of two prime nos.
2. Express 144 as the sum of twin primes.
3. the numerical expression for five multiplied by the sum of 3 and 8 is ______.
4. The value of 20 + 15 ÷ 3 = __________.
5. The only even prime no is ________.
6. The only prime triplet so far known is _______.
7. ______ is the smallest odd composite no.
8. How many prime nos are upto 100?
9. The sum of two consecutive odd numbers is always divisible by _______.
10. Write the smallest number having four different prime factors.
11. HCF of two co - prime numbers is ____________.
12. LCM of two prime numbers is their __________.
13. Is 4923 divisible by 9?
14. Fill in the blanks with the smallest digit to make it divisible by 3.
(i) 249_5
(ii) 345_
15. ______ is a factor of every number.
(2 marks)
16. Simplify: 18 – [ 15 – { 9 ÷ (17 + 3 x 2 – 20)}]
17. Find the value of 120 ÷ [ 18 – { 20 – 3 ( 9 – 5) } ]
18. Write all the factors of (i) 64
(ii) 72.
19. Check if 247 and 739 are prime.
20. Find all common factors of 20 and 40.
21. Write the first two common multiples of 5, 6, 15.
22. Write the largest 6 digit number and find its prime factors.
23. Write as a product of prime factors.
(i) 2145
(ii) 13310
24. Product of 3 consecutive numbers is always divisible by 6. Verify this
statement with the help of 4 examples.
25. Find the HCF of the given numbers by continued division method.
(i) 880, 1375
(ii) 288, 576
26. 52710 is divisible by 21. Which two numbers nearest 52710 are divisible by 21.
27. Test divisibility by 11
(1) 4896253 (2) 634678
28. Find the LCM of 12, 15, 45
29. Test divisibility by 8
(1) 34168 (2) 92425
30. Test divisibility by 6
(1) 28539 (2) 342
(3 marks)
31. Simplify:
160 – [18-{16 ÷ 2 – (16 – 12 ÷ 3) ÷ 3}]
32. Find the HCF of 858, 1562, 1870 by continued division method.
33. Find the HCF of 120, 144, 204 by prime factorisation method.
34. Find the largest number which divides 146, 254, 272 leaving remainder 2 in
each case.
35. Find the greatest number which divides 1628, 1736, 268 leaving remainder 8,
11 and 13 respectively.
36. The length, breadth and height of a room are 8m25cm, 6m75cm and 4m50cm
respectively. Find the longest tape which can measure the three dimensions of
the room exactly.
37. Find th smallest natural number which when divided by 16, 24, 40 leaves a
remainder 8 in each case.
38. Determine 2 numbers nearest to 10,000 which are exactly divisible by 2, 3, 4,
5, 6 and 7.
39. Three boys step offtogether from the same spot. Their step measures 56cm,
53cm, 70cm respectively. What is the minimum distance each should cover so
that all can cover the distance in complete steps.
40. There is a rectangular play ground of length 128m and breadth 74m. A wall
1m thick is built around the ground inside the boundary. What is the length of the
largest tape that can measure the inside dimensions of the ground exactly.
41. Three bells toll at intervals 8, 12, 20 minutes. If they begin to toll together at
9.00am at what time they toll together again
( 4 marks)
42. Find the smallest 4 digit number which is divisible by 18, 24 and 32.
43. For the numbers 231 nad 273, verify that LCM x HCF =product of the numbers.
44. Find the least 5 digit number which on dividing 4, 12, 20 and 24 leaves
remainder 3 in each case.
45. Find the greatest 5 digit number which on dividing by 5, 10, 15, 20 and 25
leaves remainder 6 in each case.
CLASS VI
QUESTION BANK
CHAPTER – 3
SUB-MATHS
(1 mark)
1. The smallest whole no is ________.
2. The natural number whose predecessor does not exist is _____.
3. How many natural numbers are there between 10 and 100 (excluding the 2
given numbers)?
4. Write the successor and predecessor of 29,999.
5. Find the differnce between the smalllst 7 digit number and largest
6 digit number.
6. Find the sum by suitable rearrangement of numbers:
437 + 500 + 63
7. (8 + 10) + 15 = 8 + (10 + 15) Name the property used here.
8. Division is the inverse of ____________.
9. 25 ÷ 0 = ________
10. Identity element for multiplication of whole number is __________.
(2 marks)
11. Find the value of the following expressions using properties of whole
numbers.
(i) 45 x 20 x 5
(ii) 6259 x 98 + 2 x 6259
12. Name the property used in the following
(i) 4325 x 65 = 65 x 4325
(ii) 21 x 205 – 21 x 102 = 21 (205 – 102)
13. Add and check the answer by reversing the order.
(i) 2925 + 8346
(ii) 4592 + 3945
14. Find the product using properties of whole nos.
(i) 96 x 435 (ii) 857 x 1005
(3 marks)
15. A company makes 48925 bulbs per day. How many bulbs will it make in the
month of March?
16. A bus can carry 175 passengers. How many buses are required for 4375
passengers?
17. Find the largest 4 digit number divisible by 13.
(4 marks)
18. Find the smallest 4 digit number exactly divisible by 19.
19. On dividing by 92, 197 by a certain number the quotient is 2634 and the
remainder is 7. Find the number.
20. Find the quotient and remainder and check the result by division algorithm
4567 ÷ 234
21.The budget for furnishing a flat is Rs 10 00 000. A TV is bought for Rs 75000
a refrigerator for Rs 35000 and a carpet for Rs 15700.How much money is left
for the rest of the furnishing.
22.In a school fee for primary section and secondary section is Rs 4375 and
Rs 6900 respectively per child.If there are 1250 students in primary and 895
students in secondary section,find the total fee collected by the school per
month for these two sections.
23.There are three libraries in a town.The total number of books in these
libraries is 7 65 840.Find the number of books in the third library if the
first and second libraries have 2 45 390 and 3 22 480 books respectively.
24.The total number of students in a school is 1920. Out of which 650
students appeared for XII Board examination but30 students were
unsuccessful and stayed back.In the new session 120 students were admitted
fresh.What is the strength of the school after the new admissions.
CHAPTER - 11
MATHS
1m
1.
2.
3.
4.
5.
6.
Define symmetry.
An equilateral triangle has _______ lines of symmetry.
A square has ______ lines of symmetry.
A regular pentagon has______ lines of symmetry.
A regular hexagon has _______lines of symmetry.
A circle has _____ lines of symmetry.
4m
7. List all the letters of English alphabet which have
i)
No line of symmetry.
ii)
One line of symmetry
iii)
More than 2 lines of symmetry
iv)
2 lines of symmetry
8.Draw a rough sketch and show how many lines of symmetry the following
figures have.
i)isosceles triangle (ii)a rectangle (iii)a circle (iv)a rhombus
_____________________________