Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 893 · 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.Every pair follows the same rule: 5 : 23, 8 : 38, 9 : 43. What is 3 : ? (a) 14 (b) 13 (c) 21 (d) 12
2. 2.Today is Wednesday. What day of the week will it be after 19 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
3. 3.What is the average of all the whole numbers from 8 to 34? (a) 21 (b) 22 (c) 13 (d) 26
4. 4.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) 60 min (b) 2 min (c) 16 min (d) 30 min
5. 5.A teacher has 8 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 24 (c) 2 (d) 4
6. 6.Two ribbons are 60 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 12 cm (c) 60 cm (d) 6 cm
7. 7.If 2 May is a Wednesday, what day of the week is 18 May? (a) Saturday (b) Thursday (c) Sunday (d) Friday
8. 8.1/3 + 1/2 = ? (a) 2/3 (b) 5/6 (c) 2/5 (d) 1
9. 9.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 140 (b) 11 (c) 20 (d) 125
10. 10.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 46 cm (c) 58 cm (d) 29 cm
11. 11.If 7x + 8 = 5x + 12, what is x? (a) 4 (b) 3 (c) 2 (d) 10
12. 12.If 5 mangoes cost ₹45, how much do 3 mangoes cost? (a) ₹27 (b) ₹36 (c) ₹43 (d) ₹135
13. 13.A teacher has 12 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 12 (c) 3 (d) 15
14. 14.What is the value of the digit 5 in 34.185? (a) 5 (b) 0.5 (c) 0.05 (d) 0.005
15. 15.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹170 (b) ₹655 (c) ₹850 (d) ₹510
16. 16.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 14 days (d) 9 days
17. 17.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 5 : ? (a) 10 (b) 7 (c) 25 (d) 19
18. 18.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
19. 19.What is the average of 33, 17, 37 and 25? (a) 27 (b) 29 (c) 28 (d) 30
20. 20.In how many years will ₹2000 earn ₹120 simple interest at 3% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
21. 21.What is the remainder when 399 is divided by 5? (a) 4 (b) 1 (c) 2 (d) 3
22. 22.A bag marked ₹1120 is sold at a 50% discount. What is its selling price? (a) ₹561 (b) ₹1070 (c) ₹1680 (d) ₹560
23. 23.Every pair follows the same rule: 5 : 30, 6 : 41, 9 : 86. What is 2 : ? (a) 12 (b) 9 (c) 10 (d) 27
24. 24.If 2x − 4 = 12, what is x? (a) 16 (b) 8 (c) 9 (d) 4
25. 25.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 42 (c) 84 (d) 20
26. 26.Every pair follows the same rule: 3 : 9, 4 : 12, 8 : 24. What is 6 : ? (a) 19 (b) 18 (c) 17 (d) 12
27. 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 11 cm (d) 17 cm
28. 28.Which fraction is greater: 2/3 or 4/5? (a) 4/5 (b) They are equal (c) 2/3
29. 29.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹460 (b) ₹384 (c) ₹576 (d) ₹96
30. 30.If 3 pens cost ₹48, how much do 7 pens cost? (a) ₹128 (b) ₹112 (c) ₹52 (d) ₹336
31. 31.₹1500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1620 (b) ₹1740 (c) ₹1860 (d) ₹240
32. 32.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 36 (b) 41 (c) 71 (d) 47
33. 33.The simple interest on ₹6000 for 4 years is ₹960. What is the rate per year? (a) 3% (b) 4% (c) 5% (d) 16%
34. 34.What is the remainder when 569 is divided by 10? (a) 1 (b) 9 (c) 8 (d) 7
35. 35.What is the simple interest on ₹8500 at 11% per year for 5 years? (a) ₹935 (b) ₹4675 (c) ₹13175 (d) ₹5610
36. 36.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 84 min (c) 504 min (d) 6 min
37. 37.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
38. 38.If 26 April is a Wednesday, what day of the week is 4 May? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
39. 39.What is the remainder when 162 is divided by 4? (a) 3 (b) 1 (c) 0 (d) 2
40. 40.1.28 + 9.1 = ? (a) 10.28 (b) 10.48 (c) 2.19 (d) 10.38

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