Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 927 · 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: 6 : 21, 8 : 23, 9 : 24. What is 4 : ? (a) 19 (b) 20 (c) 18 (d) 21
2. 2.If 5x + 21 = 41, what is x? (a) 20 (b) 5 (c) 4 (d) 3
3. 3.If 1 January is a Monday, what day of the week is 12 January? (a) Thursday (b) Saturday (c) Friday (d) Sunday
4. 4.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 44 sq cm (c) 28 sq cm (d) 33 sq cm
5. 5.What is 20% of 560? (a) 224 (b) 448 (c) 1120 (d) 112
6. 6.Today is Wednesday. What day of the week will it be after 18 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
7. 7.Which fraction is greater: 1/3 or 4/5? (a) 1/3 (b) 4/5 (c) They are equal
8. 8.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
9. 9.What is the units digit of 7^50? (a) 1 (b) 7 (c) 3 (d) 9
10. 10.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 37 cm (d) 105 cm
11. 11.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 84 (b) 43 (c) 20 (d) 42
12. 12.In how many years will ₹6000 earn ₹480 simple interest at 2% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
13. 13.₹7000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹8960 (b) ₹1960 (c) ₹7490 (d) ₹9450
14. 14.What is 4/7 of 35? (a) 5 (b) 25 (c) 15 (d) 20
15. 15.If 4 mangoes cost ₹80, how much do 5 mangoes cost? (a) ₹81 (b) ₹100 (c) ₹400 (d) ₹120
16. 16.A bag marked ₹320 is sold at a 40% discount. What is its selling price? (a) ₹448 (b) ₹192 (c) ₹280 (d) ₹128
17. 17.3.89 + 8.1 = ? (a) 4.7 (b) 11.89 (c) 11.99 (d) 12.09
18. 18.What is the average of all the whole numbers from 14 to 54? (a) 20 (b) 34 (c) 35 (d) 40
19. 19.Two ribbons are 15 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 15 cm (c) 1 cm (d) 5 cm
20. 20.In how many years will ₹7000 earn ₹1470 simple interest at 7% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
21. 21.What is the simple interest on ₹6000 at 11% per year for 2 years? (a) ₹1980 (b) ₹7320 (c) ₹660 (d) ₹1320
22. 22.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 18 (c) 16 (d) 30
23. 23.3.65 + 4.5 = ? (a) 8.05 (b) 8.15 (c) 4.1 (d) 8.25
24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 5% (b) 30% (c) 15% (d) 10%
25. 25.Which fraction is greater: 2/5 or 2/9? (a) 2/5 (b) They are equal (c) 2/9
26. 26.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) 3 min (b) 126 min (c) 378 min (d) 39 min
27. 27.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 9 days (d) 4 days
28. 28.5.39 + 2.4 = ? (a) 7.89 (b) 5.63 (c) 7.69 (d) 7.79
29. 29.Today is Sunday. What day of the week will it be after 13 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
30. 30.₹8500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹9520 (b) ₹8840 (c) ₹9180 (d) ₹680
31. 31.Two ribbons are 4 cm and 6 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 4 cm (c) 1 cm (d) 2 cm
32. 32.3/9 + 1/4 = ? (a) 11/18 (b) 5/9 (c) 4/13 (d) 7/12
33. 33.Every pair follows the same rule: 3 : 9, 5 : 13, 7 : 17. What is 2 : ? (a) 9 (b) 8 (c) 7 (d) 6
34. 34.Which is the greatest: 0.3, 0.39, 0.238, 0.071? (a) 0.3 (b) 0.39 (c) 0.238 (d) 0.071
35. 35.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹390 (b) ₹131 (c) ₹210 (d) ₹130
36. 36.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 56 sq cm (c) 18 sq cm (d) 70 sq cm
37. 37.If 2x + 18 = 46, what is x? (a) 15 (b) 28 (c) 14 (d) 32
38. 38.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
39. 39.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 2 (b) 28 (c) 13 (d) 1
40. 40.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 5% (b) 10% (c) 18% (d) 6%

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