Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 738 · 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 x/3 + 11 = 14, what is x? (a) 3 (b) 31 (c) 75 (d) 9
2. 2.What is the simple interest on ₹5500 at 5% per year for 3 years? (a) ₹1100 (b) ₹6325 (c) ₹825 (d) ₹275
3. 3.What is the smallest number you must add to 309 to make it divisible by 10? (a) 1 (b) 9 (c) 3 (d) 2
4. 4.If 4 mangoes cost ₹24, how much do 2 mangoes cost? (a) ₹22 (b) ₹12 (c) ₹18 (d) ₹48
5. 5.A bag marked ₹220 is sold at a 40% discount. What is its selling price? (a) ₹88 (b) ₹132 (c) ₹180 (d) ₹308
6. 6.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 10 days
7. 7.Every pair follows the same rule: 4 : 17, 6 : 21, 9 : 27. What is 5 : ? (a) 18 (b) 20 (c) 21 (d) 19
8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 27 sq cm (d) 180 sq cm
9. 9.The simple interest on ₹2500 for 5 years is ₹1125. What is the rate per year? (a) 10% (b) 9% (c) 45% (d) 8%
10. 10.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 1 day (d) 12 days
11. 11.3/6 + 2/3 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 5/9
12. 12.If 8x + 24 = 104, what is x? (a) 16 (b) 10 (c) 11 (d) 80
13. 13.₹4000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹5120 (b) ₹4280 (c) ₹4840 (d) ₹840
14. 14.What is the average of 20, 34, 20, 41, 22 and 61? (a) 35 (b) 34 (c) 33 (d) 32
15. 15.What is 1/7 of 28? (a) 5 (b) 8 (c) 24 (d) 4
16. 16.Every pair follows the same rule: 3 : 17, 5 : 19, 8 : 22. What is 4 : ? (a) 17 (b) 19 (c) 18 (d) 20
17. 17.The simple interest on ₹1000 for 2 years is ₹160. What is the rate per year? (a) 7% (b) 16% (c) 9% (d) 8%
18. 18.If 16 March is a Sunday, what day of the week is 17 April? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
19. 19.4.65 + 2.8 = ? (a) 7.55 (b) 4.93 (c) 7.45 (d) 7.35
20. 20.A teacher has 20 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 20 (c) 120 (d) 4
21. 21.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 8 days (d) 7 days
22. 22.Which fraction is greater: 3/11 or 2/5? (a) They are equal (b) 3/11 (c) 2/5
23. 23.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 3 : ? (a) 5 (b) 6 (c) 9 (d) 10
24. 24.Every pair follows the same rule: 2 : 6, 3 : 10, 8 : 30. What is 7 : ? (a) 11 (b) 27 (c) 26 (d) 21
25. 25.If 10 May is a Sunday, what day of the week is 22 May? (a) Sunday (b) Thursday (c) Friday (d) Saturday
26. 26.If x/4 + 12 = 17, what is x? (a) 20 (b) 116 (c) 56 (d) 5
27. 27.Every pair follows the same rule: 2 : 3, 4 : 15, 9 : 80. What is 7 : ? (a) 49 (b) 54 (c) 8 (d) 48
28. 28.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 17 days (d) 3 days
29. 29.1.35 + 2.5 = ? (a) 3.85 (b) 3.75 (c) 1.6 (d) 3.95
30. 30.1/7 + 1/4 = ? (a) 2/11 (b) 3/7 (c) 11/28 (d) 5/14
31. 31.Which is the greatest: 0.024, 0.677, 0.71, 0.7? (a) 0.024 (b) 0.677 (c) 0.71 (d) 0.7
32. 32.What is the average of 60, 39, 52, 64, 60 and 43? (a) 55 (b) 52 (c) 54 (d) 53
33. 33.If 8x + 3 = x + 45, what is x? (a) 5 (b) 7 (c) 6 (d) 8
34. 34.5/6 + 4/5 = ? (a) 8/5 (b) 9/11 (c) 49/30 (d) 5/3
35. 35.What is the value of the digit 5 in 45.789? (a) 50 (b) 0.5 (c) 5 (d) 0.05
36. 36.Two ribbons are 20 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 10 cm (c) 5 cm (d) 20 cm
37. 37.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 120 (b) 61 (c) 22 (d) 60
38. 38.1.29 + 7.4 = ? (a) 8.59 (b) 8.79 (c) 2.03 (d) 8.69
39. 39.What is the average of all the whole numbers from 17 to 31? (a) 14 (b) 24 (c) 25 (d) 7
40. 40.Two ribbons are 25 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 5 cm (c) 150 cm (d) 25 cm

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