Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 8 · 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.Today is Wednesday. What day of the week will it be after 79 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
2. 2.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 34 cm (d) 26 cm
3. 3.If 13 November is a Thursday, what day of the week is 13 December? (a) Monday (b) Friday (c) Saturday (d) Sunday
4. 4.What is the value of the digit 5 in 14.253? (a) 0.5 (b) 5 (c) 0.005 (d) 0.05
5. 5.If 5x + 4 = 14, what is x? (a) 10 (b) 1 (c) 3 (d) 2
6. 6.If 6x + 1 = 19, what is x? (a) 4 (b) 18 (c) 3 (d) 2
7. 7.Which of these numbers is divisible by 9? (a) 3361 (b) 3349 (c) 3368 (d) 3357
8. 8.What is the simple interest on ₹3500 at 3% per year for 2 years? (a) ₹105 (b) ₹3710 (c) ₹210 (d) ₹315
9. 9.If 9 kites cost ₹108, how much do 2 kites cost? (a) ₹36 (b) ₹24 (c) ₹101 (d) ₹216
10. 10.Every pair follows the same rule: 5 : 35, 8 : 56, 9 : 63. What is 4 : ? (a) 27 (b) 34 (c) 29 (d) 28
11. 11.₹341 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹31 (b) ₹124 (c) ₹248 (d) ₹217
12. 12.What is the smallest number you must add to 106 to make it divisible by 9? (a) 3 (b) 7 (c) 2 (d) 1
13. 13.3.66 + 5.1 = ? (a) 4.17 (b) 8.66 (c) 8.76 (d) 8.86
14. 14.In how many years will ₹5000 earn ₹1800 simple interest at 9% per year? (a) 4 years (b) 5 years (c) 8 years (d) 3 years
15. 15.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 25 (c) 5 (d) 10
16. 16.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 84 min (c) 3 min (d) 33 min
17. 17.Today is Monday. What day of the week will it be after 21 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
18. 18.₹2500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹3875 (b) ₹1100 (c) ₹2775 (d) ₹3600
19. 19.Every pair follows the same rule: 2 : 4, 6 : 12, 7 : 14. What is 9 : ? (a) 11 (b) 19 (c) 18 (d) 17
20. 20.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 32 cm (c) 16 cm (d) 27 cm
21. 21.If x/5 + 12 = 21, what is x? (a) 165 (b) 93 (c) 45 (d) 9
22. 22.A bag marked ₹400 is sold at a 40% discount. What is its selling price? (a) ₹360 (b) ₹560 (c) ₹160 (d) ₹240
23. 23.Today is Friday. What day of the week will it be after 80 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
24. 24.Two ribbons are 56 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 448 cm (b) 4 cm (c) 8 cm (d) 56 cm
25. 25.If 6x + 21 = 63, what is x? (a) 8 (b) 42 (c) 14 (d) 7
26. 26.What is 15% of 580? (a) 87 (b) 493 (c) 174 (d) 870
27. 27.3/5 + 1/2 = ? (a) 6/5 (b) 11/10 (c) 1 (d) 4/7
28. 28.If 6x + 3 = 45, what is x? (a) 8 (b) 42 (c) 6 (d) 7
29. 29.The simple interest on ₹8500 for 3 years is ₹765. What is the rate per year? (a) 3% (b) 9% (c) 2% (d) 4%
30. 30.Which is the greatest: 0.47, 0.093, 0.328, 0.4? (a) 0.47 (b) 0.093 (c) 0.328 (d) 0.4
31. 31.What is 8/9 of 27? (a) 25 (b) 24 (c) 27 (d) 3
32. 32.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 24 (c) 32 (d) 20
33. 33.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 28 (b) 51 (c) 65 (d) 44
34. 34.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹297 (b) ₹1965 (c) ₹2277 (d) ₹1683
35. 35.6.04 + 1.8 = ? (a) 7.94 (b) 7.74 (c) 6.22 (d) 7.84
36. 36.What is the average of all the whole numbers from 14 to 46? (a) 16 (b) 32 (c) 30 (d) 31
37. 37.If 3x + 12 = x + 36, what is x? (a) 13 (b) 24 (c) 6 (d) 12
38. 38.Every pair follows the same rule: 5 : 24, 6 : 29, 8 : 39. What is 4 : ? (a) 20 (b) 19 (c) 18 (d) 23
39. 39.What is the units digit of 2^23? (a) 2 (b) 4 (c) 6 (d) 8
40. 40.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 5 : ? (a) 126 (b) 5 (c) 125 (d) 92

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