Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 895 · 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.What is 40% of 120? (a) 96 (b) 72 (c) 480 (d) 48
2. 2.Which fraction is greater: 2/3 or 3/4? (a) 3/4 (b) 2/3 (c) They are equal
3. 3.Two ribbons are 35 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 210 cm (c) 1 cm (d) 7 cm
4. 4.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 50%
5. 5.What is the remainder when 94 is divided by 4? (a) 0 (b) 1 (c) 2 (d) 3
6. 6.4.38 + 6.8 = ? (a) 11.28 (b) 11.08 (c) 11.18 (d) 5.06
7. 7.Which is the smallest: 0.036, 0.83, 0.8, 0.732? (a) 0.036 (b) 0.83 (c) 0.8 (d) 0.732
8. 8.Which of these numbers is divisible by 4? (a) 1900 (b) 1897 (c) 1906 (d) 1901
9. 9.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹592 (b) ₹2072 (c) ₹1440 (d) ₹888
10. 10.Which is the smallest: 0.067, 0.7, 0.75, 0.629? (a) 0.067 (b) 0.7 (c) 0.75 (d) 0.629
11. 11.₹468 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹234 (b) ₹273 (c) ₹195 (d) ₹39
12. 12.What is 5% of 320? (a) 32 (b) 16 (c) 160 (d) 304
13. 13.Which is the smallest: 0.097, 0.729, 0.8, 0.83? (a) 0.097 (b) 0.729 (c) 0.8 (d) 0.83
14. 14.Two ribbons are 4 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 2 cm (c) 1 cm (d) 14 cm
15. 15.If 2x − 10 = 12, what is x? (a) 1 (b) 12 (c) 22 (d) 11
16. 16.If 4x + 11 = 3x + 12, what is x? (a) 2 (b) 1 (c) 3 (d) 23
17. 17.A shopkeeper buys a toy for ₹820 and sells it for ₹492. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
18. 18.₹2000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹2400 (b) ₹2200 (c) ₹2600 (d) ₹400
19. 19.What is 20% of 460? (a) 184 (b) 92 (c) 368 (d) 920
20. 20.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
21. 21.If x/4 + 5 = 9, what is x? (a) 31 (b) 56 (c) 16 (d) 4
22. 22.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 3 : ? (a) 9 (b) 5 (c) 7 (d) 6
23. 23.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 90 (c) 540 (d) 48
24. 24.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) 350 min (b) 70 min (c) 45 min (d) 5 min
25. 25.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 462 (c) 11 (d) 66
26. 26.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 46 sq cm (c) 23 sq cm (d) 60 sq cm
27. 27.₹275 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹250 (b) ₹50 (c) ₹25 (d) ₹225
28. 28.What is 10% of 220? (a) 44 (b) 198 (c) 22 (d) 220
29. 29.Today is Friday. What day of the week will it be after 40 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
30. 30.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 35% (b) 25% (c) 60% (d) 30%
31. 31.What is 40% of 340? (a) 1360 (b) 204 (c) 136 (d) 272
32. 32.A teacher has 50 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 50 (b) 10 (c) 5 (d) 300
33. 33.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹12 (b) ₹48 (c) ₹60 (d) ₹36
34. 34.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 33 (c) 32 (d) 18
35. 35.Which is the smallest: 0.559, 0.6, 0.014, 0.68? (a) 0.559 (b) 0.6 (c) 0.014 (d) 0.68
36. 36.Which of these numbers is divisible by 4? (a) 1013 (b) 1008 (c) 1011 (d) 1005
37. 37.Which of these numbers is divisible by 11? (a) 9154 (b) 9152 (c) 9173 (d) 9142
38. 38.3.71 + 8.2 = ? (a) 11.91 (b) 4.53 (c) 11.81 (d) 12.01
39. 39.Every pair follows the same rule: 2 : 11, 5 : 14, 9 : 18. What is 4 : ? (a) 15 (b) 13 (c) 14 (d) 12
40. 40.What is 3/5 of 20? (a) 8 (b) 16 (c) 12 (d) 4

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