Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 409 · 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.₹550 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹400 (b) ₹50 (c) ₹150 (d) ₹275
2. 2.₹126 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹63 (b) ₹42 (c) ₹84 (d) ₹126
3. 3.What is the simple interest on ₹4500 at 3% per year for 2 years? (a) ₹135 (b) ₹270 (c) ₹405 (d) ₹4770
4. 4.Every pair follows the same rule: 3 : 9, 4 : 14, 8 : 34. What is 5 : ? (a) 11 (b) 19 (c) 20 (d) 15
5. 5.₹6000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹1620 (b) ₹6540 (c) ₹7620 (d) ₹8160
6. 6.What is the value of the digit 2 in 36.217? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
7. 7.What is the average of 69, 56, 50, 71, 48 and 72? (a) 62 (b) 63 (c) 60 (d) 61
8. 8.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 96 min (c) 20 min (d) 24 min
9. 9.If x/2 + 9 = 13, what is x? (a) 4 (b) 8 (c) 17 (d) 44
10. 10.Which of these numbers is divisible by 6? (a) 748 (b) 744 (c) 740 (d) 754
11. 11.If x/3 + 11 = 23, what is x? (a) 102 (b) 36 (c) 58 (d) 12
12. 12.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 750 min (c) 5 min (d) 150 min
13. 13.1.33 + 4.5 = ? (a) 1.78 (b) 5.73 (c) 5.93 (d) 5.83
14. 14.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 36% (b) 10% (c) 20% (d) 15%
15. 15.What is the remainder when 122 is divided by 3? (a) 1 (b) 0 (c) 2
16. 16.What is the average of 68, 69, 57 and 90? (a) 73 (b) 70 (c) 72 (d) 71
17. 17.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹34 (b) ₹68 (c) ₹170 (d) ₹119
18. 18.If 18 April is a Tuesday, what day of the week is 1 May? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
19. 19.If 1 January is a Wednesday, what day of the week is 15 January? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
20. 20.What is the value of the digit 6 in 97.346? (a) 0.06 (b) 6 (c) 0.006 (d) 0.6
21. 21.Every pair follows the same rule: 2 : 17, 6 : 21, 9 : 24. What is 4 : ? (a) 18 (b) 19 (c) 20 (d) 21
22. 22.Every pair follows the same rule: 3 : 9, 4 : 16, 9 : 81. What is 8 : ? (a) 24 (b) 64 (c) 68 (d) 14
23. 23.Which of these numbers is divisible by 3? (a) 1729 (b) 1724 (c) 1725 (d) 1726
24. 24.Which fraction is greater: 1/9 or 1/5? (a) 1/9 (b) They are equal (c) 1/5
25. 25.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 36 cm (c) 48 cm (d) 6 cm
26. 26.What is the average of all the whole numbers from 22 to 42? (a) 20 (b) 33 (c) 10 (d) 32
27. 27.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
28. 28.If 5x − 55 = 20, what is x? (a) 75 (b) 14 (c) 16 (d) 15
29. 29.If 10 June is a Wednesday, what day of the week is 16 July? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
30. 30.What is the simple interest on ₹3500 at 5% per year for 4 years? (a) ₹700 (b) ₹175 (c) ₹875 (d) ₹4200
31. 31.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 11 (c) 1 (d) 22
32. 32.If 30 October is a Friday, what day of the week is 1 November? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
33. 33.4/8 + 5/6 = ? (a) 31/24 (b) 11/8 (c) 4/3 (d) 9/14
34. 34.What is the average of all the whole numbers from 33 to 49? (a) 42 (b) 16 (c) 41 (d) 8
35. 35.What is the value of the digit 3 in 87.534? (a) 0.03 (b) 3 (c) 0.003 (d) 0.3
36. 36.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 38 cm (d) 36 cm
37. 37.4/9 + 4/9 = ? (a) 7/9 (b) 4/9 (c) 1 (d) 8/9
38. 38.Every pair follows the same rule: 5 : 16, 6 : 21, 9 : 36. What is 8 : ? (a) 19 (b) 30 (c) 31 (d) 32
39. 39.What is the units digit of 8^10? (a) 6 (b) 4 (c) 2 (d) 8
40. 40.Which is the smallest: 0.512, 0.6, 0.031, 0.65? (a) 0.512 (b) 0.6 (c) 0.031 (d) 0.65

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