Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 97 · 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.If 12 September is a Friday, what day of the week is 6 October? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
2. 2.If 3x − 4 = 14, what is x? (a) 7 (b) 18 (c) 5 (d) 6
3. 3.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 40 min (c) 75 min (d) 375 min
4. 4.If 2 kites cost ₹42, how much do 10 kites cost? (a) ₹50 (b) ₹231 (c) ₹210 (d) ₹420
5. 5.If 5x + 15 = 80, what is x? (a) 65 (b) 19 (c) 14 (d) 13
6. 6.Every pair follows the same rule: 4 : 36, 5 : 45, 8 : 72. What is 3 : ? (a) 27 (b) 26 (c) 28 (d) 35
7. 7.What is the value of the digit 9 in 91.743? (a) 9 (b) 90 (c) 0.9 (d) 0.09
8. 8.What is the average of all the whole numbers from 47 to 67? (a) 58 (b) 20 (c) 57 (d) 10
9. 9.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 59 (c) 41 (d) 20
10. 10.What is the units digit of 2^18? (a) 2 (b) 6 (c) 8 (d) 4
11. 11.Every pair follows the same rule: 3 : 14, 7 : 30, 9 : 38. What is 2 : ? (a) 9 (b) 13 (c) 10 (d) 11
12. 12.Which fraction is greater: 5/9 or 6/7? (a) They are equal (b) 5/9 (c) 6/7
13. 13.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 2 cm (c) 4 cm (d) 3 cm
14. 14.If 11 March is a Tuesday, what day of the week is 24 March? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
15. 15.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 45 (c) 40 (d) 75
16. 16.If x/6 + 9 = 15, what is x? (a) 6 (b) 36 (c) 144 (d) 81
17. 17.Every pair follows the same rule: 5 : 20, 7 : 22, 8 : 23. What is 2 : ? (a) 16 (b) 17 (c) 8 (d) 18
18. 18.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 20 min (c) 96 min (d) 24 min
19. 19.The simple interest on ₹1500 for 3 years is ₹135. What is the rate per year? (a) 2% (b) 4% (c) 9% (d) 3%
20. 20.What is 1/2 of 20? (a) 9 (b) 10 (c) 20 (d) 11
21. 21.If 8 January is a Tuesday, what day of the week is 23 January? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
22. 22.What is the value of the digit 8 in 86.942? (a) 0.8 (b) 0.08 (c) 80 (d) 8
23. 23.If x/3 + 11 = 14, what is x? (a) 9 (b) 75 (c) 31 (d) 3
24. 24.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹2175 (b) ₹1715 (c) ₹1305 (d) ₹435
25. 25.What is the simple interest on ₹7000 at 2% per year for 4 years? (a) ₹560 (b) ₹140 (c) ₹700 (d) ₹7560
26. 26.Which is the smallest: 0.21, 0.2, 0.186, 0.031? (a) 0.21 (b) 0.2 (c) 0.186 (d) 0.031
27. 27.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
28. 28.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 31 (c) 90 (d) 30
29. 29.What is the value of the digit 9 in 81.923? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
30. 30.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 102 (b) 39 (c) 46 (d) 70
31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 176 sq cm (c) 160 sq cm (d) 26 sq cm
32. 32.Every pair follows the same rule: 4 : 11, 5 : 13, 8 : 19. What is 9 : ? (a) 16 (b) 21 (c) 22 (d) 20
33. 33.A teacher has 44 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 1 (c) 11 (d) 44
34. 34.If 14 December is a Saturday, what day of the week is 28 December? (a) Sunday (b) Saturday (c) Friday (d) Monday
35. 35.3/5 + 2/6 = ? (a) 9/10 (b) 29/30 (c) 14/15 (d) 5/11
36. 36.A bag marked ₹240 is sold at a 10% discount. What is its selling price? (a) ₹24 (b) ₹230 (c) ₹264 (d) ₹216
37. 37.Every pair follows the same rule: 5 : 15, 6 : 18, 8 : 24. What is 3 : ? (a) 9 (b) 10 (c) 8 (d) 13
38. 38.What is the remainder when 192 is divided by 7? (a) 5 (b) 3 (c) 2 (d) 4
39. 39.Two ribbons are 8 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 8 cm (c) 2 cm (d) 4 cm
40. 40.What is 1/2 of 10? (a) 10 (b) 6 (c) 4 (d) 5

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