Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 859 · 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 the average of all the whole numbers from 42 to 50? (a) 4 (b) 46 (c) 47 (d) 8
2. 2.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 76% (b) 25% (c) 15% (d) 20%
3. 3.₹3000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹3360 (b) ₹3480 (c) ₹3120 (d) ₹360
4. 4.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 84% (b) 5% (c) 10% (d) 15%
5. 5.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 70 min (d) 140 min
6. 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
7. 7.3.46 + 8.3 = ? (a) 11.86 (b) 11.76 (c) 11.66 (d) 4.29
8. 8.In how many years will ₹3500 earn ₹525 simple interest at 5% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
9. 9.Every pair follows the same rule: 4 : 24, 6 : 44, 7 : 57. What is 8 : ? (a) 72 (b) 70 (c) 28 (d) 48
10. 10.What is the value of the digit 9 in 73.169? (a) 0.009 (b) 0.09 (c) 0.9 (d) 9
11. 11.Every pair follows the same rule: 4 : 24, 7 : 57, 8 : 72. What is 6 : ? (a) 36 (b) 26 (c) 42 (d) 44
12. 12.A teacher has 14 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 7 (c) 1 (d) 35
13. 13.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 16% (b) 20% (c) 15% (d) 10%
14. 14.Which is the greatest: 0.426, 0.55, 0.5, 0.065? (a) 0.426 (b) 0.55 (c) 0.5 (d) 0.065
15. 15.If 6 kites cost ₹18, how much do 5 kites cost? (a) ₹90 (b) ₹15 (c) ₹17 (d) ₹18
16. 16.What is the units digit of 2^33? (a) 2 (b) 6 (c) 4 (d) 8
17. 17.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 9 : ? (a) 18 (b) 75 (c) 81 (d) 11
18. 18.If 3x + 3 = 30, what is x? (a) 9 (b) 27 (c) 11 (d) 10
19. 19.Which of these numbers is divisible by 9? (a) 6948 (b) 6942 (c) 6955 (d) 6958
20. 20.If 8x − 88 = 16, what is x? (a) 104 (b) 12 (c) 13 (d) 14
21. 21.Today is Sunday. What day of the week will it be after 38 days? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
22. 22.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 34 (b) 54 (c) 8 (d) 28
23. 23.If 9 kites cost ₹153, how much do 5 kites cost? (a) ₹85 (b) ₹149 (c) ₹765 (d) ₹102
24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 21 (c) 40 (d) 20
25. 25.In how many years will ₹7500 earn ₹600 simple interest at 2% per year? (a) 8 years (b) 4 years (c) 3 years (d) 5 years
26. 26.Which fraction is greater: 7/12 or 2/3? (a) They are equal (b) 7/12 (c) 2/3
27. 27.4/9 + 1/6 = ? (a) 2/3 (b) 5/9 (c) 1/3 (d) 11/18
28. 28.What is the average of 19, 33, 36 and 28? (a) 28 (b) 29 (c) 30 (d) 31
29. 29.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
30. 30.A teacher has 55 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 55 (c) 33 (d) 11
31. 31.What is the average of 32, 32, 14, 18 and 39? (a) 26 (b) 28 (c) 29 (d) 27
32. 32.What is 7/8 of 56? (a) 49 (b) 7 (c) 56 (d) 50
33. 33.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 105 cm
34. 34.What is 2/5 of 35? (a) 14 (b) 15 (c) 7 (d) 21
35. 35.Which fraction is greater: 5/7 or 5/9? (a) 5/7 (b) 5/9 (c) They are equal
36. 36.Every pair follows the same rule: 4 : 19, 6 : 39, 9 : 84. What is 5 : ? (a) 20 (b) 28 (c) 29 (d) 24
37. 37.What is the average of 27, 37, 51, 37 and 28? (a) 35 (b) 36 (c) 37 (d) 45
38. 38.Every pair follows the same rule: 4 : 21, 5 : 26, 9 : 46. What is 7 : ? (a) 36 (b) 24 (c) 35 (d) 37
39. 39.In how many years will ₹9000 earn ₹360 simple interest at 2% per year? (a) 1 year (b) 4 years (c) 2 years (d) 3 years
40. 40.What is the value of the digit 8 in 76.815? (a) 0.008 (b) 8 (c) 0.8 (d) 0.08

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