Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 455 · 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 10% of 440? (a) 44 (b) 396 (c) 440 (d) 88
2. 2.₹60 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹25 (b) ₹30 (c) ₹35 (d) ₹5
3. 3.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 45 cm (d) 6 cm
4. 4.If 2 October is a Monday, what day of the week is 15 October? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
5. 5.In how many years will ₹1500 earn ₹60 simple interest at 2% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
6. 6.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 63 (b) 65 (c) 121 (d) 72
7. 7.Two ribbons are 35 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 21 cm (c) 7 cm (d) 1 cm
8. 8.₹128 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹96 (b) ₹128 (c) ₹64 (d) ₹32
9. 9.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 90 (c) 3 (d) 15
10. 10.Every pair follows the same rule: 3 : 10, 4 : 13, 5 : 16. What is 6 : ? (a) 18 (b) 13 (c) 20 (d) 19
11. 11.If 17 May is a Saturday, what day of the week is 8 June? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
12. 12.Which is the greatest: 0.055, 0.35, 0.261, 0.3? (a) 0.055 (b) 0.35 (c) 0.261 (d) 0.3
13. 13.What is the average of all the whole numbers from 52 to 74? (a) 64 (b) 63 (c) 11 (d) 22
14. 14.Every pair follows the same rule: 2 : 7, 6 : 11, 7 : 12. What is 4 : ? (a) 10 (b) 11 (c) 8 (d) 9
15. 15.If 5x + 20 = 75, what is x? (a) 55 (b) 11 (c) 19 (d) 12
16. 16.What is the smallest number you must add to 107 to make it divisible by 6? (a) 2 (b) 5 (c) 3 (d) 1
17. 17.Which fraction is greater: 3/11 or 2/7? (a) They are equal (b) 3/11 (c) 2/7
18. 18.A bag marked ₹1920 is sold at a 30% discount. What is its selling price? (a) ₹1344 (b) ₹2496 (c) ₹1890 (d) ₹576
19. 19.7.44 + 9.1 = ? (a) 8.35 (b) 16.44 (c) 16.64 (d) 16.54
20. 20.Today is Sunday. What day of the week will it be after 21 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
21. 21.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
22. 22.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 63 (b) 33 (c) 36 (d) 39
23. 23.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 84 min (c) 2 min (d) 26 min
24. 24.Which of these numbers is divisible by 6? (a) 2902 (b) 2890 (c) 2892 (d) 2897
25. 25.If x/6 + 11 = 19, what is x? (a) 8 (b) 48 (c) 180 (d) 103
26. 26.What is the remainder when 529 is divided by 10? (a) 8 (b) 1 (c) 7 (d) 9
27. 27.What is the smallest number you must add to 47 to make it divisible by 4? (a) 1 (b) 3 (c) 2
28. 28.If 7x − 17 = 11, what is x? (a) 5 (b) 3 (c) 4 (d) 28
29. 29.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 20 cm (d) 42 cm
30. 30.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 30 (c) 150 (d) 25
31. 31.1/2 + 1/3 = ? (a) 2/5 (b) 2/3 (c) 1 (d) 5/6
32. 32.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 10 days (d) 3 days
33. 33.Which fraction is greater: 5/8 or 1/3? (a) 5/8 (b) They are equal (c) 1/3
34. 34.1/3 + 3/4 = ? (a) 1 (b) 7/6 (c) 13/12 (d) 4/7
35. 35.If 5 notebooks cost ₹80, how much do 3 notebooks cost? (a) ₹78 (b) ₹64 (c) ₹48 (d) ₹240
36. 36.A bag marked ₹1740 is sold at a 30% discount. What is its selling price? (a) ₹1218 (b) ₹522 (c) ₹2262 (d) ₹1710
37. 37.₹7000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹10850 (b) ₹7770 (c) ₹10080 (d) ₹3080
38. 38.A bag marked ₹1240 is sold at a 15% discount. What is its selling price? (a) ₹186 (b) ₹1054 (c) ₹1426 (d) ₹1225
39. 39.1.07 + 4.3 = ? (a) 5.27 (b) 5.37 (c) 1.5 (d) 5.47
40. 40.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 36 (d) 35

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