Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 314 · 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 7 July is a Saturday, what day of the week is 18 July? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
2. 2.If 4 October is a Friday, what day of the week is 13 October? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
3. 3.What is the average of 83, 82, 68, 90, 78 and 79? (a) 80 (b) 81 (c) 79 (d) 96
4. 4.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 60 (b) 102 (c) 53 (d) 56
5. 5.Which of these numbers is divisible by 3? (a) 1409 (b) 1411 (c) 1407 (d) 1405
6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 16%
7. 7.What is the units digit of 3^60? (a) 7 (b) 9 (c) 3 (d) 1
8. 8.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 11 days (d) 6 days
9. 9.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 60 min (c) 2 min (d) 16 min
10. 10.What is the smallest number you must add to 208 to make it divisible by 5? (a) 4 (b) 1 (c) 2 (d) 3
11. 11.If 13 December is a Tuesday, what day of the week is 22 December? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
12. 12.The simple interest on ₹3500 for 4 years is ₹700. What is the rate per year? (a) 6% (b) 4% (c) 5% (d) 20%
13. 13.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 96 sq cm (d) 44 sq cm
14. 14.What is the remainder when 790 is divided by 12? (a) 9 (b) 11 (c) 10 (d) 2
15. 15.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
16. 16.A teacher has 63 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 63 (c) 3 (d) 504
17. 17.What is the value of the digit 6 in 67.413? (a) 0.6 (b) 6 (c) 0.06 (d) 60
18. 18.₹352 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹160 (b) ₹192 (c) ₹176 (d) ₹32
19. 19.₹169 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹65 (b) ₹104 (c) ₹13 (d) ₹117
20. 20.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 26 (b) 27 (c) 28 (d) 3
21. 21.If 9x + 18 = 36, what is x? (a) 6 (b) 18 (c) 2 (d) 3
22. 22.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 26 cm (d) 30 cm
23. 23.Which fraction is greater: 4/9 or 5/11? (a) They are equal (b) 4/9 (c) 5/11
24. 24.A teacher has 80 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 720 (c) 10 (d) 80
25. 25.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 10 cm (d) 11 cm
26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 85 (b) 84 (c) 26 (d) 168
27. 27.Every pair follows the same rule: 2 : 11, 5 : 32, 9 : 88. What is 4 : ? (a) 13 (b) 23 (c) 18 (d) 24
28. 28.What is the value of the digit 1 in 13.872? (a) 0.01 (b) 10 (c) 1 (d) 0.1
29. 29.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹130 (b) ₹390 (c) ₹210 (d) ₹131
30. 30.Which is the smallest: 0.3, 0.229, 0.31, 0.039? (a) 0.3 (b) 0.229 (c) 0.31 (d) 0.039
31. 31.What is the average of 60, 55, 67 and 90? (a) 70 (b) 69 (c) 67 (d) 68
32. 32.Which fraction is greater: 3/5 or 5/8? (a) They are equal (b) 5/8 (c) 3/5
33. 33.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 6 days (d) 2 days
34. 34.Today is Monday. What day of the week will it be after 89 days? (a) Sunday (b) Monday (c) Friday (d) Saturday
35. 35.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
36. 36.The simple interest on ₹2500 for 4 years is ₹200. What is the rate per year? (a) 1% (b) 2% (c) 3% (d) 8%
37. 37.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 15 sq cm (d) 30 sq cm
38. 38.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 8 days (d) 6 days
39. 39.Today is Monday. What day of the week will it be after 99 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
40. 40.What is the smallest number you must add to 395 to make it divisible by 10? (a) 5 (b) 6 (c) 7 (d) 4

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