Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 530 · 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 units digit of 9^33? (a) 1 (b) 8 (c) 9 (d) 7
2. 2.A teacher has 24 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 168 (c) 4 (d) 2
3. 3.What is 1/2 of 8? (a) 4 (b) 5 (c) 8 (d) 3
4. 4.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
5. 5.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 30 min (c) 3 min (d) 189 min
6. 6.Which is the greatest: 0.31, 0.018, 0.264, 0.3? (a) 0.31 (b) 0.018 (c) 0.264 (d) 0.3
7. 7.What is the remainder when 656 is divided by 10? (a) 7 (b) 5 (c) 6 (d) 4
8. 8.Which fraction is greater: 3/4 or 11/12? (a) 3/4 (b) 11/12 (c) They are equal
9. 9.If 9 August is a Monday, what day of the week is 19 August? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
10. 10.What is 1/5 of 30? (a) 24 (b) 6 (c) 7 (d) 12
11. 11.A shopkeeper buys a toy for ₹600 and sells it for ₹720. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
12. 12.A bag marked ₹1760 is sold at a 40% discount. What is its selling price? (a) ₹2464 (b) ₹704 (c) ₹1720 (d) ₹1056
13. 13.If 4 pens cost ₹12, how much do 10 pens cost? (a) ₹18 (b) ₹120 (c) ₹30 (d) ₹33
14. 14.A bag marked ₹400 is sold at a 15% discount. What is its selling price? (a) ₹60 (b) ₹460 (c) ₹340 (d) ₹385
15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
16. 16.7.94 + 5.1 = ? (a) 8.45 (b) 13.04 (c) 12.94 (d) 13.14
17. 17.What is 20% of 340? (a) 680 (b) 68 (c) 136 (d) 272
18. 18.In how many years will ₹9000 earn ₹2160 simple interest at 8% per year? (a) 3 years (b) 2 years (c) 4 years (d) 6 years
19. 19.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 120 (b) 60 (c) 360 (d) 42
20. 20.What is the average of 30, 46, 50, 20, 24 and 40? (a) 36 (b) 42 (c) 35 (d) 34
21. 21.1/4 + 3/4 = ? (a) 1 (b) 3/4 (c) 5/4 (d) 1/2
22. 22.In how many years will ₹10000 earn ₹3000 simple interest at 6% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
23. 23.What is the units digit of 2^18? (a) 2 (b) 8 (c) 4 (d) 6
24. 24.If 7x + 21 = 35, what is x? (a) 14 (b) 3 (c) 8 (d) 2
25. 25.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 20 (b) 101 (c) 11 (d) 125
26. 26.₹10000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹1200 (b) ₹11200 (c) ₹10600 (d) ₹11800
27. 27.6.05 + 3.7 = ? (a) 9.85 (b) 9.65 (c) 6.42 (d) 9.75
28. 28.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 19 cm (c) 38 cm (d) 31 cm
29. 29.What is the smallest number you must add to 490 to make it divisible by 8? (a) 7 (b) 6 (c) 5 (d) 2
30. 30.What is the value of the digit 5 in 65.729? (a) 0.5 (b) 50 (c) 0.05 (d) 5
31. 31.Two ribbons are 12 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 1 cm (c) 3 cm (d) 9 cm
32. 32.If 8 notebooks cost ₹24, how much do 5 notebooks cost? (a) ₹21 (b) ₹15 (c) ₹18 (d) ₹120
33. 33.If 9x + 30 = 147, what is x? (a) 13 (b) 12 (c) 117 (d) 14
34. 34.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 53 (c) 33 (d) 25
35. 35.The simple interest on ₹9500 for 2 years is ₹760. What is the rate per year? (a) 5% (b) 4% (c) 3% (d) 8%
36. 36.Which fraction is greater: 1/4 or 1/5? (a) 1/5 (b) They are equal (c) 1/4
37. 37.If 5 July is a Monday, what day of the week is 14 July? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
38. 38.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 756 (c) 252 (d) 126
39. 39.Two ribbons are 21 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 28 cm (c) 21 cm (d) 7 cm
40. 40.What is the smallest number you must add to 318 to make it divisible by 5? (a) 4 (b) 2 (c) 3 (d) 1

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