Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 635 · 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 x/2 + 4 = 6, what is x? (a) 20 (b) 4 (c) 2 (d) 8
2. 2.Every pair follows the same rule: 5 : 9, 8 : 12, 9 : 13. What is 6 : ? (a) 12 (b) 9 (c) 10 (d) 11
3. 3.3/9 + 8/9 = ? (a) 11/9 (b) 4/3 (c) 11/18 (d) 10/9
4. 4.Every pair follows the same rule: 3 : 7, 5 : 23, 7 : 47. What is 6 : ? (a) 35 (b) 34 (c) 10 (d) 33
5. 5.What is 2/5 of 50? (a) 10 (b) 30 (c) 21 (d) 20
6. 6.If 12 July is a Saturday, what day of the week is 28 July? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
7. 7.₹322 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹92 (b) ₹46 (c) ₹230 (d) ₹161
8. 8.4/9 + 1/2 = ? (a) 5/11 (b) 17/18 (c) 1 (d) 8/9
9. 9.What is the value of the digit 9 in 31.789? (a) 0.09 (b) 0.009 (c) 0.9 (d) 9
10. 10.What is the smallest number you must add to 183 to make it divisible by 7? (a) 1 (b) 5 (c) 4 (d) 6
11. 11.Which of these numbers is divisible by 6? (a) 3682 (b) 3677 (c) 3685 (d) 3678
12. 12.If 12 March is a Monday, what day of the week is 23 March? (a) Saturday (b) Thursday (c) Sunday (d) Friday
13. 13.Which is the greatest: 0.686, 0.7, 0.79, 0.021? (a) 0.686 (b) 0.7 (c) 0.79 (d) 0.021
14. 14.₹210 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹105 (b) ₹210 (c) ₹168 (d) ₹42
15. 15.What is the value of the digit 9 in 94.827? (a) 9 (b) 0.09 (c) 90 (d) 0.9
16. 16.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
17. 17.Which is the greatest: 0.543, 0.082, 0.67, 0.6? (a) 0.543 (b) 0.082 (c) 0.67 (d) 0.6
18. 18.If 7 August is a Monday, what day of the week is 15 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
19. 19.If 8x + 3 = 19, what is x? (a) 1 (b) 16 (c) 3 (d) 2
20. 20.What is 2/3 of 36? (a) 12 (b) 36 (c) 24 (d) 25
21. 21.What is the simple interest on ₹5000 at 10% per year for 5 years? (a) ₹500 (b) ₹3000 (c) ₹2500 (d) ₹7500
22. 22.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 156 cm (c) 50 cm (d) 38 cm
23. 23.What is the simple interest on ₹5000 at 3% per year for 5 years? (a) ₹5750 (b) ₹900 (c) ₹150 (d) ₹750
24. 24.If 4 March is a Monday, what day of the week is 14 March? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
25. 25.What is the remainder when 254 is divided by 8? (a) 7 (b) 6 (c) 2 (d) 5
26. 26.A teacher has 36 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 36 (d) 144
27. 27.What is the units digit of 9^10? (a) 9 (b) 0 (c) 1 (d) 2
28. 28.Which of these numbers is divisible by 3? (a) 878 (b) 880 (c) 879 (d) 884
29. 29.What is the remainder when 177 is divided by 5? (a) 4 (b) 3 (c) 1 (d) 2
30. 30.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 68 cm
31. 31.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 24 (b) 53 (c) 33 (d) 37
32. 32.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 9 days (d) 4 days
33. 33.If 3x + 19 = 55, what is x? (a) 36 (b) 13 (c) 11 (d) 12
34. 34.What is the remainder when 333 is divided by 5? (a) 4 (b) 2 (c) 1 (d) 3
35. 35.If 5 May is a Thursday, what day of the week is 16 May? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
36. 36.Today is Monday. What day of the week will it be after 19 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
38. 38.What is the average of 43, 35, 48 and 22? (a) 37 (b) 36 (c) 38 (d) 39
39. 39.In how many years will ₹10000 earn ₹4000 simple interest at 10% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
40. 40.Every pair follows the same rule: 3 : 8, 4 : 15, 7 : 48. What is 2 : ? (a) 2 (b) 3 (c) 7 (d) 4

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