ISMO Class 2 Previous Paper PDF 2020
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2020
ISMO
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This is a past paper from the International Standard Mathematics Olympiad (ISMO) for class 2, held in 2020. The paper includes a diverse range of questions designed to test mental ability and mathematical reasoning skills.
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CLASS 2 Section – I: Mental Ability 1 Vijay and Kumar like Maths. Ravi and Vijay like Science. Who likes both Maths and Science? (1) Vijay (2) Kumar (3) Ravi (4) None of the three pe...
CLASS 2 Section – I: Mental Ability 1 Vijay and Kumar like Maths. Ravi and Vijay like Science. Who likes both Maths and Science? (1) Vijay (2) Kumar (3) Ravi (4) None of the three people 2 What time is shown in the Clock? (1) 3 : 06 (2) 3 : 30 (3) 4 : 30 (4) 6 : 30 3 Rahul is taller than both Charan and Sanjay. Sanjay is taller than Charan. Who is the shortest? (1) Rahul (2) Charan (3) Sanjay (4) All are of equal height 4 Each letter is replaced by a digit as shown: Which of the following is the code for the word “GOLF”? (1) 1624 (2) 1024 (3) 1230 (4) 4620 5 Which is the 9th letter in the list: VMVARRSMABSS (1) A (2) M (3) B (4) S 6 Which of the following is different from the others? (1) Jupiter (2) Saturn (3) Venus (4) Moon Page |1 7 Which is the longest stick? (1) A (2) B (3) C (4) D 8 Find the missing number. (1) 14 (2) 21 (3) 20 (4) 15 9 How many circles are there in the given figure? (1) 3 (2) 4 (3) 5 (4) 6 10 Mr. Rao is the Son of Mr. Satya and Mr. Karthik is the Son of Mr. Rao. How is Mr. Satya related to Mr. Karthik? (1) Grandfather (2) Father (3) Son (4) Grandson Page |2 Section – II: Mathematics 11 How many round shapes are there in the figure shown? (1) 6 (2) 7 (3) 8 (4) 9 12 Which of the following is the smallest in size? (1) Dog (2) Horse (3) Ant (4) Sun 13 Which is the 11th letter in the given list? D L N P K T R U D Y G O I E A L P (1) G (2) Y (3) O (4) I 14 Which of the following is the heaviest? (1) Feather (2) Pen (3) Book (4) Elephant 15 In each tray there are 15 eggs. How many trays would you need to have 60 eggs? (1) 1 (2) 2 (3) 3 (4) 4 16 Which of the following is generally used to carry drinking water? (1) Spoon (2) Fork (3) Bucket (4) Bottle 17 There are 2 fifty-rupee notes and 3 twenty-rupee notes. What is the total amount? (1) Rs. 160 (2) Rs. 150 (3) Rs. 140 (4) Rs. 170 18 If the current month is March, which will it be after 14 months? (1) April (2) May (3) June (4) July 19 Fill the blank: 46 + ______ = 84. (1) 36 (2) 37 (3) 38 (4) 39 20 Out of Rs. 95, a Boy spends Rs. 48. How much money is remaining? (1) Rs. 43 (2) Rs. 45 (3) Rs. 50 (4) Rs. 47 21 Which of the following numbers add up to 77? (1) 39, 46 (2) 52, 24 (3) 25, 42 (4) 18, 59 22 Which of the following is the smallest? (1) 26 + 45 (2) 35 + 36 (3) 41 + 25 (4) 35 + 38 Page |3 23 What is 831 – 487? (1) Three hundreds + Four tens + Four ones (2) Four hundreds + Four tens + Four ones (3) Three hundreds + Five tens + Four ones (4) Four hundreds + Five tens + Four ones 24 By how much is 7 8 greater than 3 4 ? (1) 34 (2) 44 (3) 36 (4) 46 25 What is the sum of the numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10? (1) 35 (2) 90 (3) 45 (4) 46 26 Which of the following is the largest? (1) 14 times 3 (2) 50 minus 12 (3) 3 less than 43 (4) 41 27 How many O’s in the diagrams? (1) 8 (2) 7 (3) 6 (4) 5 28 What is the missing digit? 4 3 6 7 5 1 4 9 2 8 (1) 5 (2) 6 (3) 7 (4) 0 29 Which of the following is made up of the least number of lines? (1) (2) (3) (4) 30 England scored 257 runs by batting second in a one-day international cricket match and lost to India by 45 runs. What was India’s score? (1) 302 (2) 212 (3) 297 (4) 301 Page |4 Section – III: HOTS 31 Each ‘O’ has a value 5 and each ‘*’ has a value 6. What is the total value of the given figure? (1) 45 (2) 50 (3) 55 (4) 60 32 What comes next? (1) (2) (3) (4) 33 Day after tomorrow is a Saturday. What was day before yesterday? (1) Tuesday (2) Monday (3) Wednesday (4) Sunday 34 On a wire, there were 56 birds. After some time 12 birds flew away. After some more time 5 birds flew and landed on the wire. After few more minutes 10 birds flew away. How many birds are there on the tree now? (1) 38 (2) 39 (3) 40 (4) 41 35 30 and 5. What is the value of ? (1) 22 (2) 23 (3) 32 (4) 33 36 Find the next number in the series 6, 18, 30, 42, 54, _________. (1) 64 (2) 65 (3) 66 (4) 67 Page |5 37 Study the pattern below: Line 1: 1 = 1 Line 2: 1 + 3 = 4 Line 3: 1 + 3 + 5 = 9 Line 4: 1 + 3 + 5 + 7 = 16, and so on. In which line is the sum equal to 49? (1) 7th (2) 8th (3) 6th (4) 5th 38 What number will be in the position of C? (1) 75 (2) 76 (3) 86 (4) 85 39 What is the missing number? (1) 66 (2) 67 (3) 68 (4) 69 40 Which of the following has the highest number of 's in it? (1) (2) (3) (4) Page |6 CLASS 2 Hints and Solutions Section – I: Mental Ability 01 Key: 1 Comment: GROUPING / E / UAQ Solution: Vijay likes both Maths and Science. 02 Key: 2 Comment: CLOCKS / M / AAQ Solution: 30 minutes past 3 is 3 : 30. 03 Key: 2 Comment: COMPARISION / M / RAQ Solution: Correct order is : Rahul > Sanjay > Charan. 04 Key: 1 Comment: CODING-DECODING / E / UAQ Solution: G = 1, O = 6, L = 2, F = 4. 05 Key: 1 Comment: RANKING / E / UAQ Solution: V M V A R R S M A 1 2 3 4 5 6 7 8 9 06 Key: 4 Comment: ODD ONE OUT / M / KQ Solution: Moon is a natural satellite. The others are Planets. 07 Key: 2 Comment: COMPARISION / E / UAQ Solution: B is the longest stick. Page |7 08 Key: 2 Comment: PATTERNS / M / RAQ Solution: 3 3 9 4 3 12 23 6 the missing number = 7 3 21. 09 Key: 3 Comment: COUNTING / E / AVQ Solution: There are 5 circles. 10 Key: 4 Comment: BLOOD RELATIONS / M / RAQ Solution: Karthik Rao Satya Mr. Satya is Mr. Kerthik Grandfather. Section – II: Mathematics 11 Key: 3 Comment: WHAT IS LONG? WHAT IS ROUND? / E / AVQ Solution: There are 8 circles in all. 12 Key: 3 Comment: WHAT IS LONG? WHAT IS ROUND? / E / KQ Solution: Ant is the smallest among the four. 13 Key: 1 Comment: COUNTING IN GROUPS / E / UAQ D L N P K T R U D Y G O Solution: 1 2 3 4 5 6 7 8 9 10 11 12 14 Key: 4 Comment: HOW MUCH CAN YOU CARRY? / M / KQ Solution: Elephant is the heaviest. 15 Key: 4 Comment: COUNTING IN TENS / M / AAQ Solution: 1 tray = 15 eggs 2 trays = 15 + 15 = 30 eggs 4 trays = 30 + 30 = 60 eggs. 16 Key: 4 Comment: JUGS AND MUGS / E / KQ Solution: Generally, bottles are used to carry drinking water. 17 Key: 1 Page |8 Comment: TENS AND ONES / M / AAQ Solution: (50 + 50) + (20 + 20 + 20) = 100 + 60 = 160. 18 Key: 2 Comment: MY FUNDAY / M / KQ Solution: After 12 months – March After 13 months – April After 14 months - May 19 Key: 3 Comment: ADD OUR POINTS / M / AAQ Solution: 46 + 40 = 86 46 + 39 = 85 46 + 38 = 84. 20 Key: 4 Comment: GIVE AND TAKE / E / AAQ Solution: 95 – 48 = 47. 21 Key: 4 Comment: ADD OUR POINTS / M / AAQ Solution: 39 + 46 = 85 52 + 24 = 76 25 + 42 = 67 18 + 59 = 77. 22 Key: 4 Comment: FOOTPRINTS / M / UAQ Solution: 26 + 45 = 71 35 + 36 = 71 41 + 25 = 66 35 + 38 = 73 23 Key: 1 Comment: GIVE AND TAKE / D / AAQ 831 Solution: 487 344 24 Key: 2 Comment: GIVE AND TAKE / M / AAQ Solution: 7 8 3 4 56 12 44. 25 Key: 3 Comment: ADD OUR POINTS / D / AAQ Solution: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10. = 3 + 7 + 11 + 15 + 19 Page |9 = 10 + 26 + 19 = 26 + 29 = 45. 26 Key: 1 Comment: FOOTPRINT / D / RAQ 14 3 42 50 12 38 Solution: 43 3 40 41 41 27 Key: 1 Comment: WHAT IS LONG? WHAT IS ROUND? / M / AVQ Solution: There are 8 O’s. 28 Key: 2 Comment: ADD OUR POINTS / E / AAQ Solution: 4928 4367 561. 29 Key: 4 Comment: LINES AND LINES / M / UAQ Solution: 1st one has 4 lines 2nd one has 5 lines 3rd one has 6 lines 4th one has 3 lines 30 Key: 1 Comment: GIVE AND TAKE / M / AAQ Solution: 257 + 45 = 302. Section – III: HOTS 31 Key: 3 Comment: COUNTING IN GROUPS / M / RAQ Solution: 5 ‘O’ + 5 ’*’ = (5 + 5 + 5 + 5 + 5) + (6 + 6 + 6 + 6 + 6 + 6) = 25 + 30 = 55. 32 Key: 1 Comment: PATTERNS / D / AVQ Solution: P a g e | 10 33 Key: 1 Comment: MY FUNDAY / M / RAQ Solution: Day after tomorrow is Saturday Tomorrow is Friday Today is Thursday Yesterday is Wednesday Day before yesterday is Tuesday. 34 Key: 2 Comment: BIRDS COME, BIRDS GO / D / RAQ Solution: 56 – 12 + 5 – 10 = 44 + 5 – 10 = 49 – 10 = 39. 35 Key: 1 Comment: TENS AND ONES / M / RAQ Solution: 10, 1 1 1 10 10 22. 36 Key: 3 Comment: ADD OUR POINTS / D / RAQ Solution: Every number is increased by 12 to get the next number. 6 + 12 = 18 18 + 12 = 30 30 + 12 = 42 42 + 12 = 54 54 + 12 = 66. 37 Key: 1 Comment: PATTERNS / D / RAQ Solution: Line 5: 1 + 3 + 5 + 7 + 9 = 25 Line 6: 1 + 3 + 5 + 7 + 9 + 11 = 36 Line 7: 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. 38 Key: 2 Comment: GIVE AND TAKE / M / AAQ Solution: a = 57 + 96 = 153 b = a – 45 = 153 – 45 = 108 c = 108 – 32 = 76. 39 Key: 3 Comment: PATTERNS / M / AVQ Solution: 59 = 47 + 12 57 = 47 + 10 65 = 47 + 18 P a g e | 11 missing number = 47 + 21 = 68. 40 Key: 2 Comment: COUNTING IN GROUPS / M / UAQ st Solution: 1 one is 6 's 2nd one is 8 's 3rd one is 6 's 4th one is 7 's P a g e | 12