Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 486 · 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 7x + 29 = 99, what is x? (a) 9 (b) 70 (c) 10 (d) 11
2. 2.If 6 kites cost ₹114, how much do 5 kites cost? (a) ₹113 (b) ₹570 (c) ₹114 (d) ₹95
3. 3.What is 2/3 of 9? (a) 9 (b) 3 (c) 6 (d) 7
4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 36%
5. 5.Two ribbons are 4 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 6 cm (c) 1 cm (d) 4 cm
6. 6.What is the average of all the whole numbers from 57 to 89? (a) 16 (b) 73 (c) 32 (d) 74
7. 7.Today is Saturday. What day of the week will it be after 91 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
8. 8.What is the average of all the whole numbers from 51 to 67? (a) 60 (b) 16 (c) 8 (d) 59
9. 9.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 27 cm (d) 21 cm
10. 10.What is the average of 45, 52, 25, 41, 35 and 24? (a) 36 (b) 37 (c) 39 (d) 38
11. 11.If 5 December is a Wednesday, what day of the week is 20 December? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
12. 12.₹2500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹2750 (b) ₹2800 (c) ₹250 (d) ₹2550
13. 13.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
14. 14.If x/4 + 1 = 8, what is x? (a) 7 (b) 31 (c) 36 (d) 28
15. 15.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 20%
16. 16.Two ribbons are 10 cm and 45 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) 10 cm (c) 5 cm (d) 35 cm
17. 17.₹390 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹195 (b) ₹117 (c) ₹39 (d) ₹273
18. 18.A teacher has 18 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 72 (c) 3 (d) 18
19. 19.₹2500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹3100 (b) ₹2600 (c) ₹3000 (d) ₹500
20. 20.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 66 (c) 28 (d) 45
21. 21.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 168 (b) 84 (c) 54 (d) 504
22. 22.If 27 March is a Friday, what day of the week is 11 April? (a) Friday (b) Sunday (c) Saturday (d) Monday
23. 23.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 120 cm
24. 24.Which of these numbers is divisible by 6? (a) 4960 (b) 4955 (c) 4956 (d) 4963
25. 25.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 750 min (b) 55 min (c) 150 min (d) 5 min
26. 26.What is 5/7 of 28? (a) 20 (b) 8 (c) 4 (d) 24
27. 27.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 60 (d) 30
28. 28.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 35 days (b) 36 days (c) 17 days (d) 11 days
29. 29.Today is Sunday. What day of the week will it be after 63 days? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
30. 30.What is 6/7 of 49? (a) 49 (b) 42 (c) 7 (d) 43
31. 31.Which fraction is greater: 1/7 or 11/12? (a) They are equal (b) 11/12 (c) 1/7
32. 32.What is the value of the digit 9 in 59.136? (a) 0.9 (b) 90 (c) 9 (d) 0.09
33. 33.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
34. 34.Which of these numbers is divisible by 9? (a) 7655 (b) 7644 (c) 7664 (d) 7650
35. 35.Every pair follows the same rule: 4 : 6, 5 : 8, 8 : 14. What is 2 : ? (a) 3 (b) 1 (c) 2 (d) 4
36. 36.What is 2/9 of 108? (a) 36 (b) 24 (c) 12 (d) 84
37. 37.The simple interest on ₹6500 for 4 years is ₹520. What is the rate per year? (a) 8% (b) 3% (c) 1% (d) 2%
38. 38.What is 20% of 300? (a) 600 (b) 120 (c) 240 (d) 60
39. 39.A shopkeeper buys a toy for ₹120 and sells it for ₹132. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 12%
40. 40.Every pair follows the same rule: 2 : 2, 4 : 14, 8 : 62. What is 7 : ? (a) 50 (b) 48 (c) 47 (d) 7

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