 ## Problems on Divisibility

1. Determine the following numbers which are divisible by 2, using the test of divisibility by 2:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

2. Let us consider the following numbers to find whether the numbers are divisible or not divisible by 3:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

3. Is 7248 is divisible (i) by 4, (ii) by 2 and (iii) by 8?

4. Without actual division, find if 235932 is divisible (i) by 4 and (ii) 8.

5. Determine which of the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156

6. Determine which of the following numbers which are divisible by 9, using the test of divisibility by 9:

99, 198, 171, 9990, 3411.

#### Place Value – Greatest & Smallest Numbers – Grade/Class 4

1. The greatest 4 digit number without repeating the digits is __________________________________
2. The greatest 4 digit number with repeating the digits is ___________________________
3. The smallest 4 digit number without repeating the digits is _____________________________
4. The smallest 4 digit number with repeating the digits is ________________________
5. The smallest 6 digit number made from digits 7,1,9,0 is ______________________________
6. The greatest 6 digit number made by 7,1,9,0 is ______________________________
7. 1 less than the smallest 5 digit number is ____________________________
8. 1 more than the greatest 5 digit number is ____________________________
9. 1 less than greatest 6 digit number without repeating the digits is __________________________________
10. 1 more than smallest 6 digit number without repeating the digits is __________________________________
11. Write the greatest and the smallest numbers using the digits 1, 0, 3, 5, 9

## Mental Ability – Competitive Exam Preparation – Number Series by adding fixed number – NTSE, NCO, NSO, IMO and other Competitive Exams

The sequence or series of numbers created by adding fixed number :

1. 5 , 7 , 9 , 11 , 13 etc – Number sequence obtained by adding fixed number 2
2. 6, 11, 16, 21, 26 etc – Number sequence obtained by adding fixed number 5

Similarly number sequence can be obtained by adding two fixed numbers alternatively or by adding two fixed numbers after repeated series. Example below:

5, 7, 10,12, 15, 17, 20 etc – This number sequence is formed by adding 2 and 3 alternatively

5, 6, 7, 9, 11, 13, 16, 19, 22 etc – This number sequence is formed by adding fixed number 1 , 2 and 3 after regular interval i.e after 3 numbers

We will revert back with right answers at the earliest

Complete the sequence by adding fixed numbers

1. 1234, 1236, 1238, _____, 1242, 1244, _____
2. 1400, 1500, ______ , 1700, 1800, 1900, ______
3. 3, 9, 15, _____, 27, 33, 39, ______, 51
4. 8, 17, _____, 35, 44, _____, 62
5. 10, 15, 25, 35, 40, 45, 55, 65, _____ , 75, 85, ______
6. 6, 9, 15, 21, 24, 27, 33, ______ , 42, ______
7. 3, 5, 7, 10, 13, 16, 18, 20, _____, 25, ______, 31
8. 10, 20, 50, _____, 90, 100, 130, 160, _____, 180, 210, 240
9. 1000, 1200, 1600,________, 2200, 2400, 2800, 3200
10. 86, 96, 116, 136, 166, ______, 236, 276, 326, 376

## Ascending and Descending Numbers for Olympiad Competitive Exam – IMO etc – Class 3

1. Which of below options shows number is descending order ?

a) One Hundred b) One Hundred Ten

2. Which of below options shows number is ascending order ?

a) One Hundred b) One Hundred Ten

Use below number list to answer questions 3 – 8

3. Which is largest number ? Use Number List above for Questions 3 – 8

4. Which is smallest number ? Use Number List above for Questions 3 – 8

5. Which is 3rd largest number ? Use Number List above for Questions 3 – 8

6. Which is 4rd smallest number ? Use Number List above for Questions 3 – 8

7. Which numbers are middle numbers in the list ? Use Number List above for Questions 3 – 8

8. What is the difference between second largest and second smallest number ? Use Number List above for Questions 3 – 8

9. Find the missing number in number list arranged in descending order

8915, ______ , 8519 , 8159

10. Find the missing number in number list arranged in ascending order

4324 , 4432 , ________ , 4532

# Maths Olympiad – Calendar Problem – Class 1 and 2

## 7. Dakshu went for Piano classes on 9th September. Dakshu goes for Drawing classes after exactly 2 weeks of Piano classes ? When will Dakshu go for Drawing classes

#### Odd and Even Number Exercises for Class 2 and Class 3 Students

1. Write all odd numbers between 786 to 800
2. Write all even numbers between 200 and 220
3. Write all odd numbers between 343 and 352
4. Write the sum of greatest odd number and smallest even number between 456 and 490
5. Write the difference between greatest even number and smallest odd number between 677 and 710
6. State True or False
• Sum of Odd and Even Number is Odd Number. __________
• Sum of two Odd Numbers is Odd Number. __________
• Difference of Odd Number and Even Number is always Even Number. ________