Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 3 · 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.Today is Saturday. What day of the week will it be after 72 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
2. 2.What is the simple interest on ₹5000 at 6% per year for 5 years? (a) ₹300 (b) ₹1500 (c) ₹1800 (d) ₹6500
3. 3.If 23 August is a Friday, what day of the week is 5 September? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
4. 4.₹152 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹76 (b) ₹19 (c) ₹152 (d) ₹133
5. 5.Every pair follows the same rule: 2 : 3, 3 : 8, 7 : 48. What is 9 : ? (a) 80 (b) 10 (c) 68 (d) 81
6. 6.Two ribbons are 20 cm and 32 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) 20 cm (c) 4 cm (d) 2 cm
7. 7.Which of these numbers is divisible by 9? (a) 8046 (b) 8041 (c) 8060 (d) 8053
8. 8.What is 3/5 of 35? (a) 14 (b) 21 (c) 7 (d) 28
9. 9.Which fraction is greater: 8/9 or 3/8? (a) 3/8 (b) They are equal (c) 8/9
10. 10.If 4 mangoes cost ₹80, how much do 10 mangoes cost? (a) ₹220 (b) ₹800 (c) ₹86 (d) ₹200
11. 11.Every pair follows the same rule: 2 : 18, 4 : 20, 6 : 22. What is 9 : ? (a) 25 (b) 26 (c) 24 (d) 81
12. 12.What is the remainder when 268 is divided by 10? (a) 7 (b) 9 (c) 8 (d) 2
13. 13.In how many years will ₹5500 earn ₹1980 simple interest at 12% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
14. 14.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 6 days (d) 3 days
15. 15.What is 1/2 of 22? (a) 11 (b) 12 (c) 10 (d) 22
16. 16.Every pair follows the same rule: 7 : 24, 8 : 25, 9 : 26. What is 5 : ? (a) 21 (b) 23 (c) 24 (d) 22
17. 17.Every pair follows the same rule: 3 : 8, 5 : 24, 9 : 80. What is 4 : ? (a) 9 (b) 10 (c) 15 (d) 16
18. 18.If 7x + 16 = 2x + 56, what is x? (a) 9 (b) 10 (c) 8 (d) 7
19. 19.What is the smallest number you must add to 278 to make it divisible by 8? (a) 6 (b) 1 (c) 2 (d) 3
20. 20.Two ribbons are 35 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) 14 cm (b) 7 cm (c) 35 cm (d) 1 cm
21. 21.What is the value of the digit 7 in 78.329? (a) 70 (b) 7 (c) 0.7 (d) 0.07
22. 22.2.84 + 4.6 = ? (a) 7.54 (b) 7.44 (c) 7.34 (d) 3.3
23. 23.Today is Wednesday. What day of the week will it be after 94 days? (a) Friday (b) Saturday (c) Monday (d) Sunday
24. 24.Which of these numbers is divisible by 9? (a) 3178 (b) 3166 (c) 3168 (d) 3174
25. 25.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
26. 26.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 30 min (c) 150 min (d) 25 min
27. 27.What is 1/2 of 20? (a) 11 (b) 9 (c) 20 (d) 10
28. 28.What is the smallest number you must add to 182 to make it divisible by 4? (a) 3 (b) 2 (c) 1
29. 29.Which fraction is greater: 1/4 or 3/5? (a) They are equal (b) 1/4 (c) 3/5
30. 30.If 2 kites cost ₹14, how much do 5 kites cost? (a) ₹70 (b) ₹17 (c) ₹35 (d) ₹42
31. 31.If 13 August is a Tuesday, what day of the week is 23 August? (a) Sunday (b) Friday (c) Thursday (d) Saturday
32. 32.If 2 October is a Saturday, what day of the week is 11 October? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
33. 33.Today is Sunday. What day of the week will it be after 21 days? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
34. 34.₹153 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹102 (b) ₹85 (c) ₹68 (d) ₹17
35. 35.₹7000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹1400 (b) ₹9100 (c) ₹8400 (d) ₹7700
36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 336 (b) 40 (c) 84 (d) 168
37. 37.If 8x + 5 = 61, what is x? (a) 56 (b) 6 (c) 7 (d) 8
38. 38.What is the smallest number you must add to 141 to make it divisible by 4? (a) 1 (b) 2 (c) 3
39. 39.Today is Sunday. What day of the week will it be after 60 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
40. 40.Two ribbons are 27 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 3 cm (c) 9 cm (d) 36 cm

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