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ROHRA’S ACADEMY
NUMBER SYSTEMS – 1
CALCULATION CHECK
Find the squares of
1. 36
4. 72
7. 121
10. 28
13. 294
16. 158
19. 254
Find the cubes of
1. 23
4. 32
7. 25
10. 71
2. 33
5. 81
8. 214
11. 188
14. 156
17. 138
20. 244
3. 66
6. 116
9. 191
12. 308
15. 144
18. 164
2. 34
5. 51
8. 43
3. 42
6. 19
9. 62
LEVEL – 1
1. Find the sum of the first 40 natural numbers.
2. Find the sum of the first 40 whole numbers.
3. Find the smallest 4 digit perfect square.
4. Find the greatest 4 digit perfect square.
5. Find the smallest 5 digit perfect square.
6. Find the square root of 123454321.
7. Find the square root of 7056.
8. Find the cube root of 13824.
9. Find the greatest 4 digit perfect cube.
10. Find the square root of 14884.
LEVEL - 2
11. A number when divided by 12 leaves a remainder of 8. Find the remainder when
the same number is divided by 6.
12. A number when divided by 12 leaves a remainder of 8. Find the remainder when
the same number is divided by 5.
13. Find 31 + 32 + 33 + …+ 59 + 60.
14. The number 54x62 is divisible by 9. Find the value of x.
15. The number 7684x91 is divisible by 11. Find the value of x.
16. Find the number of multiples of 6 from 1 to 100.
17. Find the number of multiples of 7 from 500 to 600.
18. Find the number of numbers from 1 to 100 that are divisible by 2 or 3.
19. Find the number of numbers from 1 to 100 that are divisible by 2 or 3 or 5.
20. Find the number of numbers from 1 to 100 that are not divisible by 2 or 3 or 5.
LEVEL - 3
21. For a school gathering, 40 students with roll numbers 1 to 40 brought chocolates.
All students with odd roll numbers brought as many chocolates as their roll
numbers and all students with even roll numbers brought as many chocolates as
the squares of their roll numbers. Find the total number of chocolates brought.
22. In a party of 40 people, everyone shakes hands with all the other persons exactly
once. What is the total number of handshakes happening?
23. The sum of two numbers is 32. Find their maximum and minimum products.
24. In the previous problem, find the maximum and the minimum values of the sum
of the squares of the two numbers.
25. A gardener planted trees in rows and columns. The number of rows was 3 less
than the number of columns and the total number of rows and columns is 27. Find
the total number of trees planted.