Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 875 · 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.If 22 March is a Friday, what day of the week is 7 April? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
2. 2.What is the value of the digit 6 in 62.859? (a) 0.06 (b) 0.6 (c) 6 (d) 60
3. 3.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 20 (c) 2 (d) 12
4. 4.If 2 July is a Friday, what day of the week is 18 July? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
5. 5.2.37 + 2.3 = ? (a) 4.67 (b) 4.57 (c) 4.77 (d) 2.6
6. 6.What is the average of all the whole numbers from 48 to 60? (a) 55 (b) 54 (c) 12 (d) 6
7. 7.In how many years will ₹6500 earn ₹650 simple interest at 5% per year? (a) 2 years (b) 1 year (c) 3 years (d) 4 years
8. 8.Every pair follows the same rule: 2 : 13, 3 : 14, 9 : 20. What is 5 : ? (a) 18 (b) 16 (c) 17 (d) 15
9. 9.Today is Thursday. What day of the week will it be after 100 days? (a) Saturday (b) Monday (c) Friday (d) Sunday
10. 10.If 7 mangoes cost ₹161, how much do 6 mangoes cost? (a) ₹161 (b) ₹138 (c) ₹966 (d) ₹160
11. 11.The simple interest on ₹9500 for 4 years is ₹3800. What is the rate per year? (a) 10% (b) 11% (c) 40% (d) 9%
12. 12.If 26 October is a Tuesday, what day of the week is 3 November? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
13. 13.If 6 mangoes cost ₹54, how much do 4 mangoes cost? (a) ₹216 (b) ₹45 (c) ₹52 (d) ₹36
14. 14.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 30% (b) 15% (c) 5% (d) 10%
15. 15.If x/4 + 10 = 18, what is x? (a) 8 (b) 112 (c) 32 (d) 62
16. 16.If 3x − 11 = 25, what is x? (a) 12 (b) 36 (c) 13 (d) 11
17. 17.If 3x + 3 = 36, what is x? (a) 13 (b) 12 (c) 11 (d) 33
18. 18.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 39 sq cm (d) 16 sq cm
19. 19.Every pair follows the same rule: 2 : 6, 3 : 11, 4 : 16. What is 8 : ? (a) 24 (b) 37 (c) 36 (d) 12
20. 20.The simple interest on ₹5000 for 5 years is ₹2000. What is the rate per year? (a) 40% (b) 7% (c) 8% (d) 9%
21. 21.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 52 cm (c) 6 cm (d) 10 cm
22. 22.₹3000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹3300 (b) ₹600 (c) ₹3600 (d) ₹3900
23. 23.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 6 : ? (a) 12 (b) 18 (c) 17 (d) 19
24. 24.3.67 + 2.5 = ? (a) 6.07 (b) 6.27 (c) 6.17 (d) 3.92
25. 25.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 28 days (b) 17 days (c) 11 days (d) 7 days
26. 26.Every pair follows the same rule: 2 : 13, 3 : 16, 9 : 34. What is 6 : ? (a) 26 (b) 25 (c) 24 (d) 17
27. 27.What is 2/7 of 21? (a) 9 (b) 6 (c) 15 (d) 3
28. 28.Which is the smallest: 0.168, 0.043, 0.2, 0.25? (a) 0.168 (b) 0.043 (c) 0.2 (d) 0.25
29. 29.Every pair follows the same rule: 6 : 10, 7 : 12, 8 : 14. What is 4 : ? (a) 8 (b) 7 (c) 5 (d) 6
30. 30.If 25 April is a Saturday, what day of the week is 3 May? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
31. 31.A bag marked ₹400 is sold at a 15% discount. What is its selling price? (a) ₹460 (b) ₹385 (c) ₹60 (d) ₹340
32. 32.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 14 (c) 24 (d) 48
33. 33.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 35 days (c) 17 days (d) 36 days
34. 34.4/5 + 4/5 = ? (a) 4/5 (b) 9/5 (c) 7/5 (d) 8/5
35. 35.What is the value of the digit 1 in 12.365? (a) 10 (b) 0.01 (c) 1 (d) 0.1
36. 36.What is the remainder when 293 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 3
37. 37.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 45 min (c) 350 min (d) 70 min
38. 38.Which fraction is greater: 2/3 or 7/9? (a) 2/3 (b) 7/9 (c) They are equal
39. 39.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 8 days (d) 6 days
40. 40.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 100 min (c) 500 min (d) 5 min

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