Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 828 · 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.What is the value of the digit 7 in 71.932? (a) 0.7 (b) 0.07 (c) 70 (d) 7
2. 2.If 2x + 9 = 29, what is x? (a) 11 (b) 20 (c) 10 (d) 19
3. 3.Which fraction is greater: 3/7 or 1/9? (a) They are equal (b) 1/9 (c) 3/7
4. 4.What is the value of the digit 9 in 26.981? (a) 0.9 (b) 0.009 (c) 0.09 (d) 9
5. 5.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 84 (c) 56 (d) 44
6. 6.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 720 (b) 120 (c) 54 (d) 240
7. 7.What is the average of 44, 28, 27, 20 and 51? (a) 35 (b) 33 (c) 36 (d) 34
8. 8.If 8x − 29 = 27, what is x? (a) 8 (b) 7 (c) 6 (d) 56
9. 9.Which is the smallest: 0.4, 0.44, 0.093, 0.322? (a) 0.4 (b) 0.44 (c) 0.093 (d) 0.322
10. 10.If 4 August is a Sunday, what day of the week is 18 August? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
11. 11.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 21 sq cm (d) 42 sq cm
12. 12.Today is Tuesday. What day of the week will it be after 71 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
13. 13.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 27%
14. 14.What is the remainder when 282 is divided by 4? (a) 2 (b) 0 (c) 1 (d) 3
15. 15.What is the smallest number you must add to 82 to make it divisible by 3? (a) 2 (b) 1
16. 16.A teacher has 36 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 36 (c) 144 (d) 6
17. 17.In how many years will ₹10000 earn ₹2400 simple interest at 12% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
18. 18.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹400 (c) ₹504 (d) ₹84
19. 19.Which of these numbers is divisible by 8? (a) 6020 (b) 6005 (c) 6009 (d) 6008
20. 20.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 96 sq cm
21. 21.What is 3/7 of 84? (a) 36 (b) 48 (c) 37 (d) 12
22. 22.If 15 March is a Friday, what day of the week is 29 March? (a) Sunday (b) Friday (c) Thursday (d) Saturday
23. 23.A teacher has 21 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 1 (c) 3 (d) 6
24. 24.If 8 kites cost ₹168, how much do 12 kites cost? (a) ₹2016 (b) ₹273 (c) ₹252 (d) ₹172
25. 25.Every pair follows the same rule: 5 : 29, 8 : 68, 9 : 85. What is 2 : ? (a) 9 (b) 26 (c) 7 (d) 8
26. 26.Two ribbons are 14 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) 14 cm (b) 2 cm (c) 4 cm (d) 1 cm
27. 27.If 3 pens cost ₹66, how much do 2 pens cost? (a) ₹132 (b) ₹65 (c) ₹44 (d) ₹66
28. 28.If 3 notebooks cost ₹66, how much do 4 notebooks cost? (a) ₹264 (b) ₹67 (c) ₹110 (d) ₹88
29. 29.If 4 kites cost ₹20, how much do 12 kites cost? (a) ₹28 (b) ₹60 (c) ₹65 (d) ₹240
30. 30.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 192 min (c) 4 min (d) 48 min
31. 31.If 6x + 5 = 77, what is x? (a) 13 (b) 12 (c) 11 (d) 72
32. 32.What is the smallest number you must add to 187 to make it divisible by 6? (a) 4 (b) 5 (c) 3 (d) 1
33. 33.If 5 notebooks cost ₹15, how much do 8 notebooks cost? (a) ₹27 (b) ₹120 (c) ₹24 (d) ₹18
34. 34.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 5 : ? (a) 17 (b) 15 (c) 25 (d) 11
35. 35.If 5 December is a Monday, what day of the week is 14 December? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
36. 36.If 3 pens cost ₹54, how much do 4 pens cost? (a) ₹90 (b) ₹72 (c) ₹216 (d) ₹55
37. 37.A bag marked ₹1880 is sold at a 15% discount. What is its selling price? (a) ₹1865 (b) ₹2162 (c) ₹282 (d) ₹1598
38. 38.What is the average of 66, 79, 86, 93 and 76? (a) 100 (b) 80 (c) 81 (d) 79
39. 39.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
40. 40.What is the average of 67, 68, 44, 56, 62 and 51? (a) 60 (b) 59 (c) 58 (d) 57

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