Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 180 · 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 average of 38, 33, 29, 54, 53 and 57? (a) 43 (b) 44 (c) 45 (d) 46
2. 2.The simple interest on ₹8000 for 2 years is ₹1440. What is the rate per year? (a) 8% (b) 9% (c) 18% (d) 10%
3. 3.A bag marked ₹1960 is sold at a 50% discount. What is its selling price? (a) ₹2940 (b) ₹980 (c) ₹1910 (d) ₹981
4. 4.If x/6 + 7 = 13, what is x? (a) 6 (b) 71 (c) 120 (d) 36
5. 5.4.27 + 2.1 = ? (a) 6.37 (b) 6.47 (c) 4.48 (d) 6.27
6. 6.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 14 min (c) 20 min (d) 40 min
7. 7.If 8x − 39 = 1, what is x? (a) 4 (b) 6 (c) 5 (d) 40
8. 8.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 3 : ? (a) 5 (b) 6 (c) 9 (d) 3
9. 9.A bag marked ₹1140 is sold at a 20% discount. What is its selling price? (a) ₹1368 (b) ₹1120 (c) ₹912 (d) ₹228
10. 10.Today is Thursday. What day of the week will it be after 33 days? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
11. 11.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 71 (c) 30 (d) 46
12. 12.Today is Thursday. What day of the week will it be after 99 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
13. 13.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 126 (b) 5 (c) 125 (d) 153
14. 14.If 3 pens cost ₹72, how much do 4 pens cost? (a) ₹288 (b) ₹73 (c) ₹96 (d) ₹120
15. 15.Which is the smallest: 0.28, 0.2, 0.117, 0.025? (a) 0.28 (b) 0.2 (c) 0.117 (d) 0.025
16. 16.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 35 (b) 14 (c) 44 (d) 23
17. 17.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 21 (d) 14
18. 18.If 9x + 27 = 126, what is x? (a) 99 (b) 12 (c) 17 (d) 11
19. 19.If 9x − 26 = 55, what is x? (a) 10 (b) 8 (c) 9 (d) 81
20. 20.A shopkeeper buys a toy for ₹900 and sells it for ₹765. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
21. 21.In how many years will ₹3500 earn ₹560 simple interest at 4% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
22. 22.If 21 August is a Monday, what day of the week is 11 September? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
23. 23.What is the units digit of 2^46? (a) 6 (b) 4 (c) 8 (d) 2
24. 24.If 4x + 11 = x + 26, what is x? (a) 7 (b) 5 (c) 6 (d) 3
25. 25.If 10 January is a Thursday, what day of the week is 25 January? (a) Sunday (b) Friday (c) Saturday (d) Thursday
26. 26.₹216 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹189 (b) ₹27 (c) ₹108 (d) ₹216
27. 27.1.17 + 1.2 = ? (a) 2.37 (b) 1.29 (c) 2.47 (d) 2.27
28. 28.What is the value of the digit 6 in 21.946? (a) 0.06 (b) 6 (c) 0.006 (d) 0.6
29. 29.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 30 cm (d) 36 cm
30. 30.What is 1/7 of 21? (a) 4 (b) 6 (c) 18 (d) 3
31. 31.4.07 + 6.5 = ? (a) 10.47 (b) 10.67 (c) 10.57 (d) 4.72
32. 32.Every pair follows the same rule: 3 : 18, 5 : 20, 7 : 22. What is 6 : ? (a) 21 (b) 20 (c) 36 (d) 22
33. 33.What is the value of the digit 1 in 31.792? (a) 0.01 (b) 0.1 (c) 10 (d) 1
34. 34.Two ribbons are 21 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 14 cm (d) 7 cm
35. 35.Which fraction is greater: 7/12 or 5/9? (a) 7/12 (b) They are equal (c) 5/9
36. 36.Which fraction is greater: 3/4 or 7/12? (a) They are equal (b) 3/4 (c) 7/12
37. 37.Which is the smallest: 0.534, 0.67, 0.081, 0.6? (a) 0.534 (b) 0.67 (c) 0.081 (d) 0.6
38. 38.8.77 + 8.2 = ? (a) 9.59 (b) 16.87 (c) 16.97 (d) 17.07
39. 39.The simple interest on ₹5500 for 2 years is ₹330. What is the rate per year? (a) 6% (b) 4% (c) 3% (d) 2%
40. 40.Today is Tuesday. What day of the week will it be after 75 days? (a) Sunday (b) Saturday (c) Monday (d) Tuesday

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