Friday, 17 September 2021

Grade 5: Mathematics Olympiad (IMO) - Free Sample Question Paper

Grade 5: Mathematics Olympiad - Sample Question Paper  

For answer and detail solution:


Logical Reasoning

1) A is older than X. Y is younger than X and B. B is not as old as A. Who is the eldest among all?

a) Data inadequate                              c) X

b) A                                                    d) A or X

2) Find the missing number, if a certain rule is followed, either row-wise or column-wise.

                            2  l  20  l  5

                            3  l  42  l  7 

                            5  l   ?   l  7

3) Six friends A, B, C, D, E, and F scored different scores in the semester examination. C scored more than A and F only. D scored less than only B. E did not score the least. D scored more than R. Who scored the highest marks?

a) A                 c) B

b) F                 d) C

4) Amudhan's mother remembers that Amudhan's exam is after 21st, but before 26th of September, his sister remembers that his exam is after 22nd but before 25th of September and his father remembers that his exam is on an odd date. On which date in September is  Amudhan's exam?

5) Arrange the following in a meaningful order.

1. Table    2. Tree   3. Wood   4. Seed   5. Plant

6) In a certain code language, if 'CIRCLE' is coded as 'DISCME', then how will be 'SQUARE' be coded in that language?

7) Amudhan is 10 ranks behind Mugilan who ranks 8 in a class of 20 students. What is Amudhan's rank from the bottom?

8) Which of the given options will complete the given pattern?

3D, 8G, 13J, ? , 23P

9) Arrange the given words as they occur in a dictionary

1. fright  2. frisk  3. friend  4. fridge   5. frisson

10) Select the odd one out.

              1. Δ           2.◻         3. O         4. U

11) Amudhan is facing the Market. If he turns 2 right angles in an anticlockwise direction, then what will he be facing now?

12) Find the missing character, if a certain rule is followed either row-wise or column-wise.

13) Which of the following words cannot be formed from the letters of the given word?  TREASURY

a) STRAYER                c) RESTORE

b) SURETY                  d) ARREST

14) How many different possible combinations of one fruit and one toy vehicle can be formed from the given fruits and toy vehicles? 

          Fruits:             Orange     Banana      Mango

Toy Vehicles:  Car    Bus    Train    Bike    Truck

15) In a certain code language, "pen" is called "eraser", "eraser" is called "pencil" and "pencil" is called "book", then what will be used to erase something?

a) pen             c) pencil

b)book            d) eraser

Mathematical Reasoning

16) Find the sum of the common prime factors of 120 and 150

17) Find the missing value.

3.75 / 3 - (0.2*5.6) + 13/20 = (1+ ____) * 1/2


18) 

19) Amudhan earns Rs 250.75 in a day. He spends Rs 125.05 and saves the rest. How much money will he save in 12 days?

20) Amudhan rented a bike for 380minutes. How much did he pay for it ?
First hour : Rs 8.25. Every additional 1/2 hour : Rs 5.75

21) There are __________ prime numbers between 73 and 94.

22) If 443272 is divided by 268, then _________ is the remainder.

23) Amudhan took 40 minutes to complete his homework. He finished his homework at 16:30. At what time did he start doing his homework?

24) If a number X is multiplied by 8 and 800 is added, then the answer obtained is 2080. Find the twice of the number X.

25) On Amudhan's birthday , his mother gave three-tenth of the cake to each of his 2 neighbours and one-tenth of the cake to each of his friends. What fraction of the cake is left with her?


Achievers Section

26) If 17 buckets can be filled by a pipe in 8 1/2 minutes, then how many minutes will be taken by the pipe to fill 45 such buckets?

27)  CM - CD + CVII + M =________ ( Answer in Roman numerals)

28) The smallest number that can be divided by the given numbers without leaving any remainder is _________?
 a) LCM                c) prime numbers
 b) HCF                 d) 1

29) Sum of the place values of 5 and 7 in the number 378.125 is _________?

30) The value of 30.5 - 30.4 +30.3 -30.2 + 30.1 -30.0 +29.9 -29.8 +29.7-29.6 +29.5 - 29.4 + 29.3 - 29.2 + 29.1 -29.0 = ___________?

For answer and detail solution:


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