Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 638 · 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.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
2. 2.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
3. 3.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 26 (b) 85 (c) 84 (d) 168
4. 4.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
5. 5.₹2500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹2725 (b) ₹225 (c) ₹2800 (d) ₹2575
6. 6.If x/4 + 6 = 11, what is x? (a) 5 (b) 68 (c) 38 (d) 20
7. 7.What is the value of the digit 1 in 21.673? (a) 10 (b) 1 (c) 0.01 (d) 0.1
8. 8.What is the smallest number you must add to 664 to make it divisible by 10? (a) 7 (b) 4 (c) 6 (d) 5
9. 9.If 13 July is a Friday, what day of the week is 22 July? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
10. 10.₹481 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹148 (b) ₹370 (c) ₹37 (d) ₹333
11. 11.2.91 + 5.6 = ? (a) 3.47 (b) 8.61 (c) 8.41 (d) 8.51
12. 12.Which fraction is greater: 2/9 or 2/3? (a) 2/3 (b) 2/9 (c) They are equal
13. 13.A teacher has 12 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 9 (c) 12 (d) 1
14. 14.If 15 July is a Sunday, what day of the week is 29 July? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
15. 15.Two ribbons are 12 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) 12 cm (b) 3 cm (c) 36 cm (d) 6 cm
16. 16.A bag marked ₹1640 is sold at a 10% discount. What is its selling price? (a) ₹1630 (b) ₹1804 (c) ₹164 (d) ₹1476
17. 17.Every pair follows the same rule: 2 : 14, 3 : 21, 6 : 42. What is 9 : ? (a) 21 (b) 63 (c) 62 (d) 64
18. 18.If 3x + 22 = 34, what is x? (a) 3 (b) 5 (c) 4 (d) 12
19. 19.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 20% (b) 39% (c) 15% (d) 10%
20. 20.Today is Thursday. What day of the week will it be after 63 days? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
21. 21.Every pair follows the same rule: 5 : 34, 7 : 58, 8 : 73. What is 9 : ? (a) 88 (b) 38 (c) 90 (d) 91
22. 22.Today is Monday. What day of the week will it be after 74 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
23. 23.3/9 + 1/2 = ? (a) 8/9 (b) 5/6 (c) 7/9 (d) 4/11
24. 24.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
25. 25.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 44 sq cm (c) 15 sq cm (d) 55 sq cm
26. 26.₹290 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹29 (b) ₹145 (c) ₹203 (d) ₹87
27. 27.Which of these numbers is divisible by 4? (a) 534 (b) 539 (c) 532 (d) 529
28. 28.If 8 August is a Tuesday, what day of the week is 17 August? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
29. 29.If 2x + 13 = 23, what is x? (a) 10 (b) 6 (c) 5 (d) 18
30. 30.₹7000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹7420 (b) ₹1680 (c) ₹9100 (d) ₹8680
31. 31.A bag marked ₹1260 is sold at a 30% discount. What is its selling price? (a) ₹1230 (b) ₹882 (c) ₹378 (d) ₹1638
32. 32.What is the average of all the whole numbers from 16 to 32? (a) 25 (b) 8 (c) 16 (d) 24
33. 33.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 70 (c) 10 (d) 44
34. 34.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 432 min (d) 42 min
35. 35.Every pair follows the same rule: 2 : 1, 5 : 22, 7 : 46. What is 8 : ? (a) 61 (b) 60 (c) 62 (d) 58
36. 36.6.48 + 1.4 = ? (a) 7.88 (b) 7.98 (c) 7.78 (d) 6.62
37. 37.Which fraction is greater: 2/9 or 6/7? (a) 6/7 (b) They are equal (c) 2/9
38. 38.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 24 days (b) 14 days (c) 25 days (d) 2 days
39. 39.Today is Tuesday. What day of the week will it be after 62 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
40. 40.What is the remainder when 52 is divided by 3? (a) 1 (b) 2 (c) 0

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