Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 823 · 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 average of all the whole numbers from 46 to 70? (a) 12 (b) 58 (c) 24 (d) 59
2. 2.Which fraction is greater: 3/5 or 1/9? (a) 3/5 (b) They are equal (c) 1/9
3. 3.3.75 + 4.3 = ? (a) 4.18 (b) 8.15 (c) 8.05 (d) 7.95
4. 4.Which of these numbers is divisible by 11? (a) 9600 (b) 9592 (c) 9585 (d) 9604
5. 5.Which fraction is greater: 1/3 or 3/5? (a) 1/3 (b) 3/5 (c) They are equal
6. 6.Which fraction is greater: 1/3 or 1/10? (a) They are equal (b) 1/3 (c) 1/10
7. 7.Which fraction is greater: 1/3 or 8/9? (a) They are equal (b) 8/9 (c) 1/3
8. 8.2/3 + 1/4 = ? (a) 3/7 (b) 5/6 (c) 1 (d) 11/12
9. 9.What is the value of the digit 4 in 12.594? (a) 4 (b) 0.4 (c) 0.04 (d) 0.004
10. 10.What is 3/5 of 45? (a) 9 (b) 18 (c) 27 (d) 36
11. 11.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 3 (b) 28 (c) 27 (d) 36
12. 12.Two ribbons are 40 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 32 cm (c) 8 cm (d) 4 cm
13. 13.Which of these numbers is divisible by 3? (a) 556 (b) 555 (c) 554 (d) 559
14. 14.In how many years will ₹3000 earn ₹1080 simple interest at 12% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
15. 15.Every pair follows the same rule: 3 : 10, 4 : 13, 9 : 28. What is 8 : ? (a) 25 (b) 26 (c) 24 (d) 15
16. 16.6.54 + 1.2 = ? (a) 6.66 (b) 7.84 (c) 7.64 (d) 7.74
17. 17.Which is the smallest: 0.437, 0.51, 0.5, 0.032? (a) 0.437 (b) 0.51 (c) 0.5 (d) 0.032
18. 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
19. 19.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 44 (c) 45 (d) 50
20. 20.Today is Tuesday. What day of the week will it be after 84 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
21. 21.What is the value of the digit 4 in 64.152? (a) 40 (b) 4 (c) 0.04 (d) 0.4
22. 22.If 9 mangoes cost ₹72, how much do 2 mangoes cost? (a) ₹16 (b) ₹144 (c) ₹24 (d) ₹65
23. 23.What is the average of 31, 34, 38 and 53? (a) 40 (b) 39 (c) 52 (d) 38
24. 24.If 10 December is a Tuesday, what day of the week is 20 December? (a) Thursday (b) Friday (c) Sunday (d) Saturday
25. 25.Which is the greatest: 0.43, 0.4, 0.015, 0.317? (a) 0.43 (b) 0.4 (c) 0.015 (d) 0.317
26. 26.If 8x − 23 = 57, what is x? (a) 9 (b) 11 (c) 10 (d) 80
27. 27.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 45% (b) 40% (c) 35% (d) 41%
28. 28.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 35 days (c) 36 days (d) 15 days
29. 29.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) 30 min (b) 25 min (c) 150 min (d) 5 min
30. 30.If 21 May is a Monday, what day of the week is 6 June? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
31. 31.If x/6 + 14 = 16, what is x? (a) 180 (b) 12 (c) 82 (d) 2
32. 32.A bag marked ₹1900 is sold at a 40% discount. What is its selling price? (a) ₹2660 (b) ₹1860 (c) ₹1140 (d) ₹760
33. 33.A bag marked ₹220 is sold at a 20% discount. What is its selling price? (a) ₹200 (b) ₹44 (c) ₹176 (d) ₹264
34. 34.If x/4 + 13 = 19, what is x? (a) 24 (b) 128 (c) 63 (d) 6
35. 35.What is the simple interest on ₹7000 at 4% per year for 2 years? (a) ₹280 (b) ₹7560 (c) ₹560 (d) ₹840
36. 36.If 9x − 24 = 21, what is x? (a) 5 (b) 4 (c) 6 (d) 45
37. 37.If 11 April is a Tuesday, what day of the week is 17 May? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
38. 38.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 96 (c) 24 (d) 20
39. 39.What is the average of all the whole numbers from 46 to 74? (a) 61 (b) 28 (c) 60 (d) 14
40. 40.If x/2 + 9 = 11, what is x? (a) 2 (b) 13 (c) 4 (d) 40

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