Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 302 · 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 5 pens cost ₹20, how much do 10 pens cost? (a) ₹25 (b) ₹44 (c) ₹200 (d) ₹40
2. 2.Two ribbons are 12 cm and 15 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) 1 cm (c) 3 cm (d) 60 cm
3. 3.If 2x + 21 = 37, what is x? (a) 8 (b) 29 (c) 9 (d) 16
4. 4.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 3 min (c) 63 min (d) 30 min
5. 5.₹3000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹3300 (b) ₹1200 (c) ₹4200 (d) ₹4500
6. 6.Which fraction is greater: 8/11 or 5/8? (a) 8/11 (b) They are equal (c) 5/8
7. 7.If x/2 + 5 = 7, what is x? (a) 24 (b) 9 (c) 2 (d) 4
8. 8.6.95 + 3.6 = ? (a) 10.55 (b) 10.45 (c) 7.31 (d) 10.65
9. 9.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 24 (c) 93 (d) 25
10. 10.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 14 (b) 24 (c) 48 (d) 25
11. 11.In how many years will ₹6500 earn ₹1560 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
12. 12.Every pair follows the same rule: 2 : 11, 6 : 43, 7 : 56. What is 4 : ? (a) 13 (b) 17 (c) 23 (d) 24
13. 13.If 9x − 41 = 40, what is x? (a) 10 (b) 9 (c) 81 (d) 8
14. 14.The simple interest on ₹6500 for 3 years is ₹585. What is the rate per year? (a) 4% (b) 9% (c) 3% (d) 2%
15. 15.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹45 (b) ₹10 (c) ₹20 (d) ₹70
16. 16.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 26 sq cm (c) 180 sq cm (d) 52 sq cm
17. 17.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 135 min (b) 45 min (c) 3 min (d) 24 min
18. 18.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
19. 19.A shopkeeper buys a toy for ₹340 and sells it for ₹476. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
20. 20.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 30 sq cm (d) 36 sq cm
21. 21.What is the average of all the whole numbers from 30 to 50? (a) 40 (b) 41 (c) 20 (d) 10
22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 252 (b) 33 (c) 168 (d) 84
23. 23.If 4x − 9 = 3, what is x? (a) 4 (b) 12 (c) 2 (d) 3
24. 24.What is 7/8 of 80? (a) 80 (b) 10 (c) 71 (d) 70
25. 25.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 360 min (b) 42 min (c) 60 min (d) 6 min
26. 26.Which fraction is greater: 6/7 or 7/8? (a) They are equal (b) 6/7 (c) 7/8
27. 27.2/3 + 1/2 = ? (a) 1 (b) 3/5 (c) 4/3 (d) 7/6
28. 28.If 4x + 19 = x + 28, what is x? (a) 4 (b) 2 (c) 3 (d) 5
29. 29.Which of these numbers is divisible by 8? (a) 2173 (b) 2185 (c) 2176 (d) 2180
30. 30.What is the average of 9, 8, 21, 9 and 58? (a) 22 (b) 21 (c) 20 (d) 23
31. 31.What is the average of 16, 32, 17, 14, 9 and 38? (a) 20 (b) 21 (c) 22 (d) 23
32. 32.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 29 sq cm (d) 180 sq cm
33. 33.Two ribbons are 21 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 21 cm (c) 1 cm (d) 168 cm
34. 34.Every pair follows the same rule: 2 : 13, 3 : 15, 8 : 25. What is 4 : ? (a) 16 (b) 15 (c) 17 (d) 18
35. 35.A bag marked ₹980 is sold at a 30% discount. What is its selling price? (a) ₹686 (b) ₹294 (c) ₹950 (d) ₹1274
36. 36.What is the smallest number you must add to 104 to make it divisible by 5? (a) 1 (b) 3 (c) 4 (d) 2
37. 37.Which is the smallest: 0.5, 0.044, 0.463, 0.58? (a) 0.5 (b) 0.044 (c) 0.463 (d) 0.58
38. 38.₹7500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹1875 (b) ₹7875 (c) ₹9750 (d) ₹9375
39. 39.Every pair follows the same rule: 3 : 14, 4 : 21, 5 : 30. What is 2 : ? (a) 9 (b) 13 (c) 3 (d) 10
40. 40.A teacher has 16 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 80 (c) 16 (d) 4

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