Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 926 · 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 Monday. What day of the week will it be after 14 days? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
2. 2.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 9 days (c) 13 days (d) 22 days
3. 3.Which is the greatest: 0.062, 0.132, 0.23, 0.2? (a) 0.062 (b) 0.132 (c) 0.23 (d) 0.2
4. 4.What is the simple interest on ₹7500 at 8% per year for 3 years? (a) ₹2400 (b) ₹600 (c) ₹1800 (d) ₹9300
5. 5.If 3x − 7 = 5, what is x? (a) 12 (b) 5 (c) 4 (d) 3
6. 6.What is 5% of 820? (a) 82 (b) 779 (c) 41 (d) 410
7. 7.7.64 + 9.8 = ? (a) 8.62 (b) 17.34 (c) 17.44 (d) 17.54
8. 8.If 10 July is a Tuesday, what day of the week is 24 July? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
9. 9.If 9x − 53 = 64, what is x? (a) 14 (b) 13 (c) 12 (d) 117
10. 10.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 12 (b) 32 (c) 38 (d) 29
11. 11.If 7x + 2 = 5x + 14, what is x? (a) 7 (b) 1 (c) 6 (d) 8
12. 12.If 10 December is a Wednesday, what day of the week is 22 December? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
13. 13.Every pair follows the same rule: 2 : 5, 4 : 9, 7 : 15. What is 6 : ? (a) 14 (b) 13 (c) 12 (d) 9
14. 14.2/4 + 3/8 = ? (a) 7/8 (b) 5/12 (c) 3/4 (d) 1
15. 15.₹336 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹126 (b) ₹42 (c) ₹210 (d) ₹168
16. 16.Which is the greatest: 0.6, 0.068, 0.522, 0.66? (a) 0.6 (b) 0.068 (c) 0.522 (d) 0.66
17. 17.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 9 days (c) 11 days (d) 13 days
18. 18.A teacher has 30 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 30 (c) 6 (d) 18
19. 19.Every pair follows the same rule: 4 : 10, 7 : 13, 9 : 15. What is 3 : ? (a) 11 (b) 10 (c) 9 (d) 8
20. 20.₹364 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹182 (b) ₹224 (c) ₹28 (d) ₹140
21. 21.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
22. 22.A bag marked ₹1220 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹854 (c) ₹1586 (d) ₹366
23. 23.Every pair follows the same rule: 2 : 5, 3 : 10, 7 : 50. What is 4 : ? (a) 18 (b) 17 (c) 20 (d) 7
24. 24.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 96%
25. 25.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
26. 26.If x/3 + 10 = 13, what is x? (a) 3 (b) 9 (c) 29 (d) 69
27. 27.If 9x + 29 = 83, what is x? (a) 54 (b) 6 (c) 5 (d) 7
28. 28.Every pair follows the same rule: 2 : 12, 3 : 13, 4 : 14. What is 6 : ? (a) 17 (b) 15 (c) 36 (d) 16
29. 29.What is the units digit of 8^14? (a) 6 (b) 2 (c) 4 (d) 8
30. 30.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 32% (b) 10% (c) 5% (d) 6%
31. 31.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 35% (b) 30% (c) 48% (d) 25%
32. 32.What is the value of the digit 8 in 62.871? (a) 8 (b) 0.008 (c) 0.08 (d) 0.8
33. 33.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
34. 34.A teacher has 12 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 12 (c) 42 (d) 6
35. 35.Which is the smallest: 0.4, 0.339, 0.41, 0.013? (a) 0.4 (b) 0.339 (c) 0.41 (d) 0.013
36. 36.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 13 (d) 12
37. 37.What is the value of the digit 7 in 24.317? (a) 0.07 (b) 0.7 (c) 0.007 (d) 7
38. 38.If 3x − 33 = 3, what is x? (a) 13 (b) 36 (c) 11 (d) 12
39. 39.Which of these numbers is divisible by 4? (a) 1994 (b) 1996 (c) 1998 (d) 2001
40. 40.Today is Tuesday. What day of the week will it be after 29 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday

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