Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 774 · 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.Every pair follows the same rule: 3 : 7, 4 : 14, 7 : 47. What is 9 : ? (a) 13 (b) 80 (c) 69 (d) 79
2. 2.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 432 min (c) 6 min (d) 72 min
3. 3.6/7 + 1/2 = ? (a) 7/9 (b) 10/7 (c) 9/7 (d) 19/14
4. 4.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 38 cm (d) 6 cm
5. 5.What is the average of all the whole numbers from 14 to 48? (a) 17 (b) 32 (c) 34 (d) 31
6. 6.What is 15% of 860? (a) 258 (b) 129 (c) 1290 (d) 731
7. 7.A bag marked ₹960 is sold at a 20% discount. What is its selling price? (a) ₹940 (b) ₹1152 (c) ₹192 (d) ₹768
8. 8.Every pair follows the same rule: 3 : 11, 8 : 36, 9 : 41. What is 2 : ? (a) 5 (b) 6 (c) 10 (d) 7
9. 9.If 3x − 10 = 8, what is x? (a) 5 (b) 6 (c) 18 (d) 7
10. 10.Which is the greatest: 0.4, 0.42, 0.033, 0.338? (a) 0.4 (b) 0.42 (c) 0.033 (d) 0.338
11. 11.What is the value of the digit 6 in 21.369? (a) 0.6 (b) 0.006 (c) 6 (d) 0.06
12. 12.Today is Thursday. What day of the week will it be after 27 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
13. 13.What is the value of the digit 8 in 48.759? (a) 8 (b) 0.8 (c) 80 (d) 0.08
14. 14.What is the average of 68, 70, 75, 62, 61 and 42? (a) 65 (b) 63 (c) 62 (d) 64
15. 15.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 6 min (c) 54 min (d) 504 min
16. 16.If 29 May is a Wednesday, what day of the week is 13 June? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
17. 17.Every pair follows the same rule: 3 : 7, 4 : 8, 5 : 9. What is 2 : ? (a) 7 (b) 6 (c) 5 (d) 8
18. 18.A teacher has 60 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 24 (c) 60 (d) 12
19. 19.₹441 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹49 (b) ₹392 (c) ₹393 (d) ₹441
20. 20.Which fraction is greater: 4/7 or 1/11? (a) 1/11 (b) 4/7 (c) They are equal
21. 21.If 8 mangoes cost ₹64, how much do 2 mangoes cost? (a) ₹128 (b) ₹16 (c) ₹58 (d) ₹24
22. 22.A bag marked ₹700 is sold at a 10% discount. What is its selling price? (a) ₹690 (b) ₹70 (c) ₹770 (d) ₹630
23. 23.If 8x + 16 = 3x + 51, what is x? (a) 6 (b) 8 (c) 9 (d) 7
24. 24.What is the units digit of 3^45? (a) 7 (b) 1 (c) 3 (d) 9
25. 25.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
26. 26.Every pair follows the same rule: 6 : 35, 7 : 48, 8 : 63. What is 4 : ? (a) 15 (b) 3 (c) 16 (d) 33
27. 27.What is the simple interest on ₹5000 at 10% per year for 4 years? (a) ₹500 (b) ₹2000 (c) ₹7000 (d) ₹2500
28. 28.2/3 + 1/4 = ? (a) 11/12 (b) 1 (c) 3/7 (d) 5/6
29. 29.If 15 March is a Wednesday, what day of the week is 28 March? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
30. 30.Today is Friday. What day of the week will it be after 57 days? (a) Saturday (b) Friday (c) Monday (d) Sunday
31. 31.If 5x + 2 = 47, what is x? (a) 10 (b) 8 (c) 9 (d) 45
32. 32.Two ribbons are 45 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 45 cm (b) 9 cm (c) 3 cm (d) 18 cm
33. 33.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 14 min (d) 48 min
34. 34.What is the simple interest on ₹1500 at 9% per year for 2 years? (a) ₹405 (b) ₹135 (c) ₹270 (d) ₹1770
35. 35.Every pair follows the same rule: 4 : 19, 6 : 39, 8 : 67. What is 2 : ? (a) 8 (b) 7 (c) 17 (d) 6
36. 36.In how many years will ₹9500 earn ₹3040 simple interest at 8% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
37. 37.7.15 + 3.1 = ? (a) 7.46 (b) 10.35 (c) 10.15 (d) 10.25
38. 38.₹2000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹360 (b) ₹2480 (c) ₹2360 (d) ₹2120
39. 39.The simple interest on ₹7000 for 4 years is ₹840. What is the rate per year? (a) 3% (b) 12% (c) 4% (d) 2%
40. 40.Today is Friday. What day of the week will it be after 76 days? (a) Wednesday (b) Saturday (c) Thursday (d) Friday

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