Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 26 · 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.Which fraction is greater: 5/6 or 2/5? (a) They are equal (b) 2/5 (c) 5/6
2. 2.A bag marked ₹1580 is sold at a 15% discount. What is its selling price? (a) ₹1817 (b) ₹1343 (c) ₹1565 (d) ₹237
3. 3.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 160 min (b) 40 min (c) 4 min (d) 28 min
4. 4.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 35 cm (c) 46 cm (d) 132 cm
5. 5.What is the simple interest on ₹8000 at 12% per year for 3 years? (a) ₹10880 (b) ₹960 (c) ₹3840 (d) ₹2880
6. 6.What is the average of all the whole numbers from 37 to 49? (a) 43 (b) 44 (c) 12 (d) 6
7. 7.What is the value of the digit 9 in 72.196? (a) 0.9 (b) 0.09 (c) 0.009 (d) 9
8. 8.Today is Friday. What day of the week will it be after 18 days? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
9. 9.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 90 min (c) 540 min (d) 48 min
10. 10.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 64 (b) 27 (c) 61 (d) 85
11. 11.Every pair follows the same rule: 2 : 4, 3 : 9, 5 : 25. What is 8 : ? (a) 64 (b) 10 (c) 16 (d) 49
12. 12.If 9 May is a Sunday, what day of the week is 21 May? (a) Friday (b) Thursday (c) Sunday (d) Saturday
13. 13.If 7x + 29 = 99, what is x? (a) 10 (b) 9 (c) 11 (d) 70
14. 14.What is the value of the digit 4 in 26.145? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004
15. 15.What is the value of the digit 1 in 36.154? (a) 0.01 (b) 0.1 (c) 1 (d) 0.001
16. 16.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 6 : ? (a) 18 (b) 12 (c) 34 (d) 36
17. 17.If 3x + 30 = 72, what is x? (a) 42 (b) 14 (c) 15 (d) 34
18. 18.What is 2/3 of 21? (a) 14 (b) 15 (c) 21 (d) 7
19. 19.Every pair follows the same rule: 2 : 1, 3 : 3, 9 : 15. What is 6 : ? (a) 8 (b) 9 (c) 10 (d) 11
20. 20.What is 10% of 800? (a) 800 (b) 80 (c) 720 (d) 160
21. 21.What is the units digit of 3^41? (a) 3 (b) 9 (c) 1 (d) 7
22. 22.The simple interest on ₹5500 for 4 years is ₹1540. What is the rate per year? (a) 8% (b) 7% (c) 28% (d) 6%
23. 23.Today is Sunday. What day of the week will it be after 74 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
24. 24.9.73 + 3.4 = ? (a) 13.03 (b) 13.23 (c) 13.13 (d) 10.07
25. 25.The simple interest on ₹3000 for 2 years is ₹540. What is the rate per year? (a) 10% (b) 18% (c) 8% (d) 9%
26. 26.Today is Sunday. What day of the week will it be after 31 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
27. 27.If 1 August is a Monday, what day of the week is 12 August? (a) Friday (b) Sunday (c) Thursday (d) Saturday
28. 28.A bag marked ₹280 is sold at a 40% discount. What is its selling price? (a) ₹240 (b) ₹112 (c) ₹168 (d) ₹392
29. 29.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 54% (b) 15% (c) 10% (d) 5%
30. 30.If 10 November is a Tuesday, what day of the week is 7 December? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
31. 31.What is 2/7 of 28? (a) 20 (b) 4 (c) 8 (d) 12
32. 32.Which of these numbers is divisible by 11? (a) 1749 (b) 1765 (c) 1744 (d) 1755
33. 33.Which of these numbers is divisible by 4? (a) 923 (b) 915 (c) 918 (d) 916
34. 34.If 2 notebooks cost ₹10, how much do 6 notebooks cost? (a) ₹60 (b) ₹14 (c) ₹35 (d) ₹30
35. 35.Every pair follows the same rule: 3 : 15, 5 : 21, 7 : 27. What is 2 : ? (a) 13 (b) 14 (c) 10 (d) 12
36. 36.What is 60% of 220? (a) 88 (b) 132 (c) 264 (d) 1320
37. 37.9.78 + 3.2 = ? (a) 12.88 (b) 10.1 (c) 12.98 (d) 13.08
38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm
39. 39.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹231 (b) ₹1525 (c) ₹1309 (d) ₹1771
40. 40.Every pair follows the same rule: 2 : 4, 3 : 9, 5 : 25. What is 4 : ? (a) 6 (b) 8 (c) 17 (d) 16

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