Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 246 · 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.Which is the smallest: 0.3, 0.014, 0.31, 0.264? (a) 0.3 (b) 0.014 (c) 0.31 (d) 0.264
2. 2.Every pair follows the same rule: 3 : 11, 7 : 23, 9 : 29. What is 2 : ? (a) 10 (b) 9 (c) 7 (d) 8
3. 3.What is the value of the digit 8 in 85.912? (a) 0.08 (b) 80 (c) 8 (d) 0.8
4. 4.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 11 days (c) 26 days (d) 15 days
5. 5.Every pair follows the same rule: 2 : 10, 3 : 15, 8 : 40. What is 7 : ? (a) 35 (b) 36 (c) 15 (d) 34
6. 6.Today is Saturday. What day of the week will it be after 80 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
7. 7.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
8. 8.If 8x + 10 = 5x + 37, what is x? (a) 11 (b) 10 (c) 8 (d) 9
9. 9.Which fraction is greater: 1/10 or 3/4? (a) They are equal (b) 3/4 (c) 1/10
10. 10.Which of these numbers is divisible by 3? (a) 132 (b) 134 (c) 130 (d) 136
11. 11.If 25 June is a Tuesday, what day of the week is 1 July? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
12. 12.What is the simple interest on ₹2000 at 12% per year for 3 years? (a) ₹2720 (b) ₹720 (c) ₹240 (d) ₹960
13. 13.If 15 July is a Monday, what day of the week is 27 July? (a) Monday (b) Friday (c) Saturday (d) Sunday
14. 14.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 20 sq cm (c) 110 sq cm (d) 40 sq cm
15. 15.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
16. 16.A bag marked ₹440 is sold at a 15% discount. What is its selling price? (a) ₹425 (b) ₹506 (c) ₹66 (d) ₹374
17. 17.If 2x + 30 = 56, what is x? (a) 14 (b) 26 (c) 13 (d) 43
18. 18.Which fraction is greater: 9/11 or 5/7? (a) 5/7 (b) 9/11 (c) They are equal
19. 19.What is the average of 56, 55, 77, 78 and 54? (a) 80 (b) 63 (c) 65 (d) 64
20. 20.Which is the greatest: 0.33, 0.243, 0.098, 0.3? (a) 0.33 (b) 0.243 (c) 0.098 (d) 0.3
21. 21.What is 3/8 of 56? (a) 28 (b) 7 (c) 21 (d) 35
22. 22.What is the remainder when 367 is divided by 5? (a) 3 (b) 1 (c) 2 (d) 4
23. 23.If 8x + 30 = 94, what is x? (a) 7 (b) 9 (c) 64 (d) 8
24. 24.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 48 cm (c) 24 cm (d) 39 cm
25. 25.What is the remainder when 535 is divided by 11? (a) 6 (b) 8 (c) 7 (d) 4
26. 26.In how many years will ₹3500 earn ₹420 simple interest at 4% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
27. 27.1/3 + 2/3 = ? (a) 2/3 (b) 1/2 (c) 1 (d) 4/3
28. 28.9.15 + 1.7 = ? (a) 9.32 (b) 10.75 (c) 10.85 (d) 10.95
29. 29.If 6 notebooks cost ₹18, how much do 7 notebooks cost? (a) ₹21 (b) ₹19 (c) ₹24 (d) ₹126
30. 30.What is the simple interest on ₹1500 at 2% per year for 2 years? (a) ₹30 (b) ₹1560 (c) ₹60 (d) ₹90
31. 31.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 3 min (c) 54 min (d) 18 min
32. 32.What is the value of the digit 2 in 62.714? (a) 20 (b) 0.2 (c) 0.02 (d) 2
33. 33.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 63 (c) 101 (d) 52
34. 34.Which of these numbers is divisible by 8? (a) 2967 (b) 2983 (c) 2975 (d) 2968
35. 35.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 6 : ? (a) 84 (b) 216 (c) 6 (d) 217
36. 36.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 10 (c) 2 (d) 1
37. 37.Which fraction is greater: 3/4 or 1/9? (a) They are equal (b) 1/9 (c) 3/4
38. 38.Which fraction is greater: 2/3 or 3/11? (a) 2/3 (b) 3/11 (c) They are equal
39. 39.If x/4 + 8 = 17, what is x? (a) 60 (b) 100 (c) 36 (d) 9
40. 40.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 11 days (c) 16 days (d) 15 days

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