Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 822 · 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.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 55 (b) 47 (c) 45 (d) 12
2. 2.Which fraction is greater: 3/4 or 5/9? (a) 3/4 (b) They are equal (c) 5/9
3. 3.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 20 (d) 4
4. 4.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 2 days (d) 18 days
5. 5.If x/2 + 12 = 19, what is x? (a) 7 (b) 26 (c) 62 (d) 14
6. 6.In how many years will ₹7000 earn ₹1050 simple interest at 3% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
7. 7.A bag marked ₹1080 is sold at a 20% discount. What is its selling price? (a) ₹216 (b) ₹864 (c) ₹1060 (d) ₹1296
8. 8.Which fraction is greater: 2/7 or 3/4? (a) 2/7 (b) They are equal (c) 3/4
9. 9.If 26 May is a Friday, what day of the week is 16 June? (a) Thursday (b) Sunday (c) Friday (d) Saturday
10. 10.What is the simple interest on ₹8500 at 8% per year for 4 years? (a) ₹3400 (b) ₹11220 (c) ₹2720 (d) ₹680
11. 11.If x/5 + 10 = 17, what is x? (a) 35 (b) 135 (c) 75 (d) 7
12. 12.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 39 min (b) 3 min (c) 126 min (d) 378 min
13. 13.9.73 + 7.6 = ? (a) 10.49 (b) 17.23 (c) 17.33 (d) 17.43
14. 14.Two ribbons are 15 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) 15 cm (b) 1 cm (c) 5 cm (d) 20 cm
15. 15.What is the units digit of 3^22? (a) 1 (b) 9 (c) 3 (d) 7
16. 16.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 32 sq cm (d) 16 sq cm
17. 17.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 60 min (c) 35 min (d) 5 min
18. 18.If 15 March is a Tuesday, what day of the week is 30 March? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
19. 19.2.83 + 6.7 = ? (a) 9.53 (b) 3.5 (c) 9.63 (d) 9.43
20. 20.What is the average of 18, 22, 26 and 58? (a) 32 (b) 33 (c) 31 (d) 30
21. 21.1.32 + 1.4 = ? (a) 2.72 (b) 1.46 (c) 2.62 (d) 2.82
22. 22.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 140 cm
23. 23.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
24. 24.What is the value of the digit 2 in 94.321? (a) 0.002 (b) 2 (c) 0.2 (d) 0.02
25. 25.2.57 + 4.3 = ? (a) 6.77 (b) 6.87 (c) 6.97 (d) 3
26. 26.A bag marked ₹1660 is sold at a 40% discount. What is its selling price? (a) ₹996 (b) ₹1620 (c) ₹2324 (d) ₹664
27. 27.Which fraction is greater: 7/10 or 6/7? (a) 7/10 (b) 6/7 (c) They are equal
28. 28.Every pair follows the same rule: 2 : 11, 7 : 56, 8 : 71. What is 4 : ? (a) 11 (b) 24 (c) 23 (d) 13
29. 29.If 30 January is a Sunday, what day of the week is 16 February? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
30. 30.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 4 : ? (a) 17 (b) 8 (c) 6 (d) 16
31. 31.What is the remainder when 376 is divided by 11? (a) 3 (b) 9 (c) 1 (d) 2
32. 32.What is the units digit of 8^37? (a) 6 (b) 2 (c) 4 (d) 8
33. 33.2.41 + 7.7 = ? (a) 10.01 (b) 10.11 (c) 10.21 (d) 3.18
34. 34.Every pair follows the same rule: 2 : 12, 8 : 72, 9 : 89. What is 5 : ? (a) 30 (b) 33 (c) 21 (d) 15
35. 35.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 24 cm (d) 14 cm
36. 36.If 7x + 18 = 3x + 62, what is x? (a) 12 (b) 13 (c) 20 (d) 11
37. 37.What is the value of the digit 1 in 24.317? (a) 0.01 (b) 1 (c) 0.1 (d) 0.001
38. 38.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 10 min (c) 24 min (d) 12 min
39. 39.Every pair follows the same rule: 2 : 3, 7 : 13, 9 : 17. What is 3 : ? (a) 6 (b) 7 (c) 4 (d) 5
40. 40.If 19 March is a Saturday, what day of the week is 1 April? (a) Saturday (b) Sunday (c) Thursday (d) Friday

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