Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 346 · 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 rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 76 sq cm (c) 95 sq cm (d) 46 sq cm
2. 2.Which fraction is greater: 9/10 or 1/4? (a) They are equal (b) 9/10 (c) 1/4
3. 3.In how many years will ₹8500 earn ₹1020 simple interest at 4% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
4. 4.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 90 cm (d) 7 cm
5. 5.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 560 min (c) 140 min (d) 48 min
6. 6.If 7 mangoes cost ₹28, how much do 3 mangoes cost? (a) ₹16 (b) ₹24 (c) ₹12 (d) ₹84
7. 7.8 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 61 days (b) 21 days (c) 9 days (d) 60 days
8. 8.What is the average of 39, 38, 43 and 84? (a) 68 (b) 50 (c) 52 (d) 51
9. 9.What is the units digit of 9^22? (a) 9 (b) 2 (c) 0 (d) 1
10. 10.If 11 August is a Tuesday, what day of the week is 26 August? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
11. 11.What is the simple interest on ₹2000 at 4% per year for 2 years? (a) ₹240 (b) ₹80 (c) ₹2160 (d) ₹160
12. 12.What is the value of the digit 5 in 25.346? (a) 0.05 (b) 50 (c) 5 (d) 0.5
13. 13.Which is the greatest: 0.45, 0.377, 0.4, 0.094? (a) 0.45 (b) 0.377 (c) 0.4 (d) 0.094
14. 14.Every pair follows the same rule: 6 : 35, 8 : 63, 9 : 80. What is 2 : ? (a) 4 (b) 3 (c) 31 (d) 2
15. 15.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
16. 16.Every pair follows the same rule: 4 : 21, 6 : 29, 8 : 37. What is 3 : ? (a) 20 (b) 16 (c) 17 (d) 18
17. 17.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 16 cm (d) 8 cm
18. 18.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
19. 19.A bag marked ₹260 is sold at a 25% discount. What is its selling price? (a) ₹235 (b) ₹65 (c) ₹325 (d) ₹195
20. 20.Today is Friday. What day of the week will it be after 77 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
21. 21.5.29 + 1.5 = ? (a) 6.89 (b) 6.69 (c) 6.79 (d) 5.44
22. 22.Which of these numbers is divisible by 3? (a) 1101 (b) 1100 (c) 1102 (d) 1105
23. 23.If 7x − 2 = 12, what is x? (a) 3 (b) 1 (c) 2 (d) 14
24. 24.What is the average of 72, 57, 57 and 82? (a) 68 (b) 69 (c) 67 (d) 66
25. 25.What is the average of all the whole numbers from 24 to 60? (a) 43 (b) 36 (c) 42 (d) 18
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
27. 27.What is the remainder when 429 is divided by 8? (a) 4 (b) 3 (c) 5 (d) 6
28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 21 (b) 90 (c) 30 (d) 60
29. 29.What is the simple interest on ₹1000 at 3% per year for 2 years? (a) ₹90 (b) ₹60 (c) ₹1060 (d) ₹30
30. 30.What is the simple interest on ₹3000 at 2% per year for 3 years? (a) ₹3180 (b) ₹60 (c) ₹240 (d) ₹180
31. 31.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 120 sq cm (c) 44 sq cm (d) 22 sq cm
32. 32.1/3 + 1/2 = ? (a) 2/3 (b) 5/6 (c) 1 (d) 2/5
33. 33.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 20 (c) 21 (d) 14
34. 34.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
35. 35.What is the units digit of 2^37? (a) 2 (b) 8 (c) 6 (d) 4
36. 36.If 2 May is a Friday, what day of the week is 17 May? (a) Sunday (b) Saturday (c) Friday (d) Monday
37. 37.If 12 October is a Tuesday, what day of the week is 3 November? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
38. 38.A teacher has 27 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 108 (b) 27 (c) 9 (d) 3
39. 39.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 7 : ? (a) 49 (b) 13 (c) 47 (d) 21
40. 40.2/4 + 1/4 = ? (a) 3/4 (b) 1/2 (c) 3/8 (d) 1

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