Category: Unified International Mathematics Olympiad

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Number Divisibility Rules

Divisibility Rules of whether a number is divisible by 2, 3, 4, 5, 6, 8, 9 and 10

NumberRuleExample
2Last digit in the number is even.14, 102, 118, 560
all end in even numbers, so all are divisible by 2.
3Sum of the digits of the number is divisible by 3.
The sum of the digits of 396 is 3+9+6 = 18 which is
divisible by 3, so 396 is divisible by 3.
4Number formed by the last 2 digits is divisible by 4.Last 2 digits of 1424 is 24, which is divisible by
4, so 1424 is divisible by 4.
5Last digit is 0 or 535, 90, 475
6Number is even and divisible by 3.144 is even and is divisible by 3 (sum of digits 1+4+4 = 9, divisible by 3), so 144 is divisible by 6.
8Last 3 digits divisible by 8 or Last 3 digit is 000Last 3 digits of 83400 is 400 which is divisible by 8. Last 3 digits of 1000 is 000 hence it is divisible by 8
9Sum of the digits of the number is divisible by 9.Sum of the digits of 1485 is 1+4+8+5 = 18
which is divisible by 9, so 1485 is divisible by 9
10Last digit is 090, 120, 680
Number Divisibility Rules

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.

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Olympiad Preparation – Class 3 – Weekly Questions – 3 Oct Week

Addition , Subtraction and Expanded Form Questions for Class 3 Olympiad Aspirants

Parents/Kids, We plan to publish 9 Olympiad Questions each week to prepare your lids for Olympiad.

Please ask your kids to attempt and answer below questions. Kids can add their answer and queries in comments section of this page

Happy Olympiad Preparation to all kids and parents

  1. Solve: 845 + 75 + 70 – 55 – 35.
  2. 7 thousands + 8 tens – 4 ones is equal to _____________
  3. 800000 + 40000 + 8000 + 300 + 60 + 5 is _____________
  4. What is the difference between the face and place value of 5 in the number, 85631?
  5. Solve : 2735 + 5237 – 3756
  6. Replace the question mark with a number given in the options below. ​66 + 37 – 23 = 89 + 5 – ?
  7. The sum of place value and face value of digit 6 in the number 4796232 is
  8. Which one of the following is the short form for. ​50000 + 4000 + 300 + 20 + 1
  9. What number replaces question mark to make the number sentence true ? 4567 – ? = 3451

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Place Value of Two Digit Numbers – Quiz

UKG, Class 1 and Class 2

Place Value of Two Digit Numbers – Example

Number  : 3 2

Place Value of 3 is 30

Place Value of 2 is 2

Solve below problem:

  1. The place value of 8  in 8 is ________
  2. The place value of 9 in 90 is _________
  3. The place value of 4 in 54 is _________
  4. The place value of 7 in 67 is _________
  5. The place value of 3 in 31 is _________
  6. The place value of 8 in 84 is _________

Attempt Online Quiz : [ays_quiz id=’4′]

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

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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

Below is some questions to practise this. Please leave your answers in comment box on this page or write to us on abhyas.practise@gmail.com.

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

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

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

98789978
89789788
89995678
97899089
99097900
Number List for Questions 3 -8

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

a. 9909b. 9978
c. 9878d. 9990
Options

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

a. 5500b. 7900
c. 5678d. 8978
Options

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

a. 9909b. 9978
c. 9905d. 9878
Options

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

a. 5678b. 8978
c. 8900d. 8999
Options

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

a. 8999, 9000b. 9088, 9089
c. 8999, 9089d. 9089, 9788
Options

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

a. 2009b. 209
c. 1000d. None of above
Options

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

8915, ______ , 8519 , 8159

a. 8965b. 8695
c. 8515d. 8198
Options

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

4324 , 4432 , ________ , 4532

a. Four Thousand Five Hundred Fortyb. Four Thousand Four Hundred Thirty
c. Four Thousand Five Hundred Twentyd. Four Thousand Three Hundred Thirty
Options

Please type your answers in comment box. We will check and revert back to you.

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Crack Maths Olympiad – Calendar Problem – Class 1 and 2

Maths Olympiad – Calendar Problem – Class 1 and 2

1. Duggu celebrates his birthday on Wednesday in June. Which of below dates is surely not Duggu’s birthday ?

SMTWThFS
123
45678910
11121314151617
18192021222324
25262728293031
June 20XX
A. 7 JuneB. 14 June
C. 24 JuneD. 28 June
Options

2. Which day is first day of May 20XX ?

SMTWThFS
123
45678910
11121314151617
18192021222324
252627282930
April 20XX

A. MondayB. Saturday
C. FridayD. Sunday
Options

3. Which day is last day of October 20XX ?

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
November 20XX
A. SundayB. Monday
C. WednesdayD. Tuesday
Options

4. Bank is closed on third Saturday of every month. Which day will be back closed in July 20XX

SMTWThFS
1234
567891011
12131415161718
19202122232425
262728293031
July 20XX
A. 18 JulyB. 25 July
C. 11 JulyD. 10 July
Options

5. Dakshu has soccer classes on Saturday on 1st Week and on Monday of 3rd week of month. Which all days in April 20XX will Dakshu go for Soccer class ?

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
April 20XX
A. 11 April, 20 AprilB. 4 April, 20 April
C. 4 April, 13 AprilD. 6 April, 18 April
Options

6. Duggu has Science Olympiad on 4th August and Math Olympiad 10 days after science olympiad. On which day will Math Olympiad happen ?

SMTWThFS
123
45678910
11121314151617
18192021222324
25262728293031
August 20XX
A. 11 AugustB. 12 August
C. 13 AugustD. 14 August
Options

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

SMTWThFS
1234
567891011
12131415161718
19202122232425
2627282930
September 20XX
A. 22 SeptemberB. 24 September
C. 23 SeptemberD. 16 September
Options

Unified International Mathematics Olympiad – UIMO – CLASS 2 QUESTION 2020 – PART 4

Unified International Mathematics Olympiad – UIMO – CLASS 2 -QUESTION 2020 – PART 4

REASONING

31. Which picture completes the second pair in the same way as the first pair ?

32. Identify the odd one out.

33. Which shape completes the grid ?

34. If Forest is to Trees then Lawn is to _____.

(A) Dirt (B) Soil (C) Green (D) Grass

35. Count the total number of differences between image 1 and image 2.

(A) 2 (B) 3 (C) 4 (D) 5

36. Which option will come in place of “?”

37. Identify the image which is similar to given image.

38. In which option can you find the given image ?

39. If two apples 3 and 7 are removed, then which apple is 3rd from the right end ?

(A) 5 (B) 4 (C) 3 (D) 6

40. Find the other half of the given image ?

Unified International Mathematics Olympiad – UIMO – CLASS 2 QUESTION 2020 – PART 3

Unified International Mathematics Olympiad – UIMO – CLASS 2 -QUESTION 2020 – PART 3

21. If one glass of juice costs 15 and 3 glasses make 1 jar.

Then what is the cost of a jar ?

(A) 45 (B) 50 (C) 65 (D) 60

22. Raju has these much of pencils, erasers and books.

Which of the following is the right ascending order of the number of things ?

(A) Pencil < Eraser < Book

(B) Eraser < Pencil < Book

(C) Book < Pencil < Eraser

(D) Eraser < Book < Pencil

23. There are 6 girls and 4 boys in a classroom. How many

more girls than boys are there in 5 such classrooms ?

(A) 10 (B) 20 (C) 30 (D) 40

24. How many children will have the same number of legs

as the legs of 4 ants ?

(A) 24 (B) 16 (C) 4 (D) 12

25. Find the missing number.

Number of dogsNumber of bones
12
36
510
7?
FIND MISSING NUMBER

(A) 7 (B) 10 (C) 12 (D) 14

26. Which two numbers can balance the following scale ?

(A) 250 and 140 (B) 140 and 210

(C) 190 and 130 (D) 110 and 250

27. In the teacher’s room there are 6 tables with 4 chairseach, 4 tables with 2 chairs each and 3 tables with 6chairs each. How many chairs are there altogether ?

(A) 40 (B) 25 (C) 50 (D) 36

29. The higher the step on the stage, the higher the rank of the participant. Who finished third ?

(A) Vinni (B) Vinay

(C) Raju (D) Yamini

30. What number is hidden behind the flower ?

(A) 16 (B) 18 (C) 20 (D) 24

Unified International Mathematics Olympiad – UIMO – CLASS 2 QUESTION 2020 – PART 2

Unified International Mathematics Olympiad – UIMO – CLASS 2 -QUESTION 2020 – PART 2

11. A merry-go-round can seat 4 children. How many merry-go-rounds are needed to seat 20 children ?

(A) 5 (B) 15 (C) 20 (D) 10

12. Find the correct number of each shape in the given figure.

(A) Circle – 1; Triangles – 5; Rectangles – 8

(B) Triangle – 1, Rectangles – 5; Circles – 8

(C) Circles – 8; Triangles – 5, Rectangle – 1

(D) Circles – 5; Triangle – 1, Rectangles – 8

13. Mona sleeps at 9 O’clock at night, the time shown in the figure and she will sleep for 9 hours. At what time did she wakeup ?

(A) 6 a.m. (B) 7 p.m.

(C) 6 p.m. (D) 7 a.m.

14. Select the option that represents the

(A) 1 (B) 0 (C) 4 (D) 5

15. How many tens are there in 8080 ÷ 10 ?

(A) 800 (B) 8 (C) 80 (D) 801

16. Raj, Madhu, Sumeet, Gourav and Varun have 5 chocolates each. What is the total number of chocolates if they have twice each of the given chocolates ?

(A) 25 (B) 30 (C) 45 (D) 50

17. 8 flowers are required to prepare a bouquet. How many flowers are required to prepare 9 such bouquets ?

(A) 17 (B) 64 (C) 72 (D) 81

18. Juhi bought 4 ice-creams, cost of 2 ice-creams each for 25 RUPEES and another 2 ice-creams each for 15 RUPEES. What is the exact amount paid for the 4 ice-creams ?

(A) 10 RUPEES * 3 + 5 RUPEES * 6

(B) 5 RUPEES * 8 + 10 RUPEES * 3

(C) 10 RUPEES * 4 + 5 RUPEES * 4

(D) 10 RUPEES * 4 + 5 RUPEES * 8

19. Find the missing number.

56 ÷ P = 21 ÷ Q

(A) P = 7, Q = 3 (B) P = 8, Q = 3

(C) P = 7, Q = 7 (D) P = 8, Q = 7

20. Arrange the objects from the lightest to the heaviest.

(A) R, T, B (B) R, B, T

(C) B, T, R (D) B, R, T

Unified International Mathematics Olympiad – UIMO – CLASS 2 QUESTION 2020 – PART 1

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Unified International Mathematics Olympiad – UIMO – CLASS 2 -QUESTION 2020 – PART 1

01. Which of the following number statements is incorrect?

(A) 234 + 23 = 257 (B) 1000 – 400 = 600

(C) 888 – 37 = 815 (D) 418 + 514 = 932

02. Find the figure that is different from the rest

.

03. Find the respective values of P and Q.

945 is the same as P tens Q ones

(A) 90 tens 5 ones (B) 9 hundreds 45 tens

(C) 94 tens 5 ones (D) 90 hundreds 45 tens

04. Pole X is 5 m long. Pole Y is 8 m long. How much longer is Pole Y than Pole X ?

(A) 10 m (B) 7 m (C) 3 m (D) 4 m

06. How much does 7 oranges, 4 apples and 6 mango cost ?

(A) 11 (B) 24 (C) 28 (D) 6

07. There are 213 cars and 321 trucks in a car park. How many more trucks than cars are there in the car park ?

(A) 108 (B) 90 (C) 198 (D) zero

08. Jaya had lunch an hour later than the time shown on the given clock. At what time did she have her lunch ?

(A) 1:30 a.m. (B) 1:30 p.m.

(C) 2:30 p.m. (D) 2:30 a.m.

09. What is the mass of the 4 books ?

Each stands for 100 g.

(A) 60 g (B) 90 g (C) 600 g (D) 900 g

10. Which option has the smallest value ?

(A) Eleven (B) Smallest two digit number

(C) 1 tens 3 ones (D) 6 less than 15