Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 767 · 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 10 January is a Saturday, what day of the week is 20 January? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
2. 2.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹530 (b) ₹392 (c) ₹168 (d) ₹728
3. 3.Today is Thursday. What day of the week will it be after 26 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
4. 4.What is the remainder when 151 is divided by 4? (a) 2 (b) 1 (c) 3 (d) 0
5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
6. 6.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 20 (c) 21 (d) 32
7. 7.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 3 : ? (a) 15 (b) 12 (c) 3 (d) 9
8. 8.What is the units digit of 3^10? (a) 1 (b) 7 (c) 9 (d) 3
9. 9.Every pair follows the same rule: 2 : 19, 5 : 22, 9 : 26. What is 6 : ? (a) 22 (b) 24 (c) 25 (d) 23
10. 10.Which of these numbers is divisible by 3? (a) 1911 (b) 1912 (c) 1909 (d) 1915
11. 11.Which fraction is greater: 5/6 or 1/4? (a) 5/6 (b) They are equal (c) 1/4
12. 12.If 23 April is a Monday, what day of the week is 14 May? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
13. 13.Every pair follows the same rule: 3 : 21, 4 : 28, 7 : 49. What is 2 : ? (a) 20 (b) 13 (c) 14 (d) 15
14. 14.3/7 + 1/7 = ? (a) 3/7 (b) 5/7 (c) 2/7 (d) 4/7
15. 15.What is the value of the digit 1 in 32.194? (a) 0.001 (b) 0.1 (c) 0.01 (d) 1
16. 16.What is the simple interest on ₹1500 at 7% per year for 2 years? (a) ₹105 (b) ₹1710 (c) ₹210 (d) ₹315
17. 17.What is the average of 31, 42, 29, 27 and 61? (a) 37 (b) 38 (c) 39 (d) 40
18. 18.If 2x + 8 = 18, what is x? (a) 13 (b) 10 (c) 6 (d) 5
19. 19.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 90 cm
20. 20.Today is Tuesday. What day of the week will it be after 80 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
21. 21.Today is Tuesday. What day of the week will it be after 58 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
22. 22.What is the smallest number you must add to 312 to make it divisible by 5? (a) 2 (b) 4 (c) 1 (d) 3
23. 23.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 28 min (d) 18 min
24. 24.2/3 + 2/3 = ? (a) 1 (b) 2/3 (c) 4/3 (d) 5/3
25. 25.If 7 October is a Sunday, what day of the week is 23 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
26. 26.What is 2/3 of 21? (a) 14 (b) 15 (c) 21 (d) 7
27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
28. 28.Today is Sunday. What day of the week will it be after 87 days? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
29. 29.2.77 + 5.9 = ? (a) 8.77 (b) 8.67 (c) 8.57 (d) 3.36
30. 30.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 56 (b) 38 (c) 78 (d) 30
31. 31.What is 10% of 520? (a) 104 (b) 52 (c) 520 (d) 468
32. 32.What is the value of the digit 6 in 14.638? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
33. 33.If 3x − 6 = 30, what is x? (a) 36 (b) 8 (c) 12 (d) 13
34. 34.2/3 + 2/5 = ? (a) 1/2 (b) 1 (c) 17/15 (d) 16/15
35. 35.What is the units digit of 2^24? (a) 2 (b) 8 (c) 4 (d) 6
36. 36.Every pair follows the same rule: 2 : 7, 3 : 12, 7 : 52. What is 4 : ? (a) 20 (b) 9 (c) 22 (d) 19
37. 37.Every pair follows the same rule: 4 : 16, 5 : 25, 7 : 49. What is 3 : ? (a) 15 (b) 12 (c) 1 (d) 9
38. 38.What is the value of the digit 5 in 17.536? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
39. 39.3/4 + 2/7 = ? (a) 1 (b) 5/11 (c) 15/14 (d) 29/28
40. 40.Every pair follows the same rule: 3 : 15, 5 : 31, 9 : 87. What is 7 : ? (a) 59 (b) 19 (c) 35 (d) 55

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