Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 72 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the value of the digit 1 in 92.148? (a) 0.01 (b) 1 (c) 0.001 (d) 0.1
2. 2.The simple interest on ₹8500 for 5 years is ₹2975. What is the rate per year? (a) 7% (b) 6% (c) 8% (d) 35%
3. 3.Every pair follows the same rule: 2 : 8, 5 : 20, 8 : 32. What is 9 : ? (a) 35 (b) 37 (c) 15 (d) 36
4. 4.What is the remainder when 592 is divided by 11? (a) 10 (b) 8 (c) 2 (d) 9
5. 5.In how many years will ₹4500 earn ₹900 simple interest at 5% per year? (a) 8 years (b) 4 years (c) 5 years (d) 3 years
6. 6.If 3x + 13 = x + 21, what is x? (a) 5 (b) 17 (c) 4 (d) 2
7. 7.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 70 sq cm
8. 8.What is the value of the digit 3 in 13.647? (a) 0.3 (b) 30 (c) 3 (d) 0.03
9. 9.If 5 notebooks cost ₹35, how much do 2 notebooks cost? (a) ₹14 (b) ₹70 (c) ₹21 (d) ₹32
10. 10.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 32 (b) 74 (c) 39 (d) 67
11. 11.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 49 days (c) 9 days (d) 4 days
12. 12.What is the remainder when 358 is divided by 5? (a) 4 (b) 2 (c) 3 (d) 1
13. 13.The simple interest on ₹10000 for 2 years is ₹2200. What is the rate per year? (a) 22% (b) 12% (c) 10% (d) 11%
14. 14.₹637 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹441 (b) ₹49 (c) ₹245 (d) ₹392
15. 15.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 50 (c) 99 (d) 57
16. 16.If 5x − 29 = 6, what is x? (a) 35 (b) 7 (c) 6 (d) 8
17. 17.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 42 cm (d) 90 cm
18. 18.What is 5% of 100? (a) 50 (b) 95 (c) 5 (d) 10
19. 19.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 36 (b) 86 (c) 54 (d) 58
20. 20.₹240 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹140 (b) ₹20 (c) ₹100 (d) ₹120
21. 21.If x/5 + 4 = 11, what is x? (a) 35 (b) 51 (c) 7 (d) 75
22. 22.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 5 days (d) 6 days
23. 23.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 91 (c) 90 (d) 50
24. 24.What is the average of all the whole numbers from 6 to 36? (a) 22 (b) 15 (c) 30 (d) 21
25. 25.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 700 min (c) 55 min (d) 140 min
26. 26.Every pair follows the same rule: 3 : 14, 6 : 41, 8 : 69. What is 9 : ? (a) 20 (b) 86 (c) 87 (d) 83
27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
28. 28.What is the average of 14, 32, 24, 28, 15 and 7? (a) 19 (b) 24 (c) 21 (d) 20
29. 29.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 20 cm (d) 51 cm
30. 30.1/7 + 1/4 = ? (a) 3/7 (b) 2/11 (c) 5/14 (d) 11/28
31. 31.What is the remainder when 138 is divided by 5? (a) 1 (b) 3 (c) 4 (d) 2
32. 32.Two ribbons are 32 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 4 cm (c) 40 cm (d) 8 cm
33. 33.What is the average of 49, 47, 53 and 95? (a) 61 (b) 63 (c) 60 (d) 62
34. 34.Which is the greatest: 0.012, 0.3, 0.293, 0.34? (a) 0.012 (b) 0.3 (c) 0.293 (d) 0.34
35. 35.What is the value of the digit 8 in 92.814? (a) 8 (b) 0.08 (c) 0.8 (d) 0.008
36. 36.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 40 min (c) 84 min (d) 336 min
37. 37.What is the smallest number you must add to 41 to make it divisible by 3? (a) 2 (b) 1
38. 38.If 9x − 69 = 21, what is x? (a) 11 (b) 90 (c) 9 (d) 10
39. 39.A teacher has 36 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 36 (c) 60 (d) 12
40. 40.Which fraction is greater: 3/7 or 3/8? (a) 3/7 (b) They are equal (c) 3/8

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