Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 14 · 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 remainder when 169 is divided by 3? (a) 2 (b) 1 (c) 0
2. 2.1/2 + 4/5 = ? (a) 5/7 (b) 13/10 (c) 7/5 (d) 6/5
3. 3.A bag marked ₹1020 is sold at a 15% discount. What is its selling price? (a) ₹1005 (b) ₹867 (c) ₹1173 (d) ₹153
4. 4.If x/3 + 4 = 13, what is x? (a) 51 (b) 9 (c) 27 (d) 35
5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 72 (b) 30 (c) 216 (d) 36
6. 6.Which is the greatest: 0.055, 0.22, 0.2, 0.177? (a) 0.055 (b) 0.22 (c) 0.2 (d) 0.177
7. 7.₹396 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹72 (b) ₹198 (c) ₹324 (d) ₹36
8. 8.If 30 November is a Friday, what day of the week is 17 December? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
9. 9.Every pair follows the same rule: 5 : 13, 6 : 14, 8 : 16. What is 7 : ? (a) 14 (b) 16 (c) 15 (d) 17
10. 10.What is the average of all the whole numbers from 32 to 50? (a) 9 (b) 41 (c) 42 (d) 18
11. 11.1/2 + 1/2 = ? (a) 2 (b) 1 (c) 1/2 (d) 3/2
12. 12.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 72 (c) 49 (d) 37
13. 13.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 11 (b) 125 (c) 20 (d) 101
14. 14.Which is the greatest: 0.045, 0.7, 0.74, 0.676? (a) 0.045 (b) 0.7 (c) 0.74 (d) 0.676
15. 15.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
16. 16.Every pair follows the same rule: 2 : 10, 7 : 25, 8 : 28. What is 6 : ? (a) 14 (b) 30 (c) 23 (d) 22
17. 17.What is the remainder when 102 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 3
18. 18.What is 1/2 of 16? (a) 8 (b) 9 (c) 16 (d) 7
19. 19.What is the smallest number you must add to 344 to make it divisible by 5? (a) 4 (b) 1 (c) 3 (d) 2
20. 20.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 24 (c) 10 (d) 12
21. 21.1.93 + 8.5 = ? (a) 10.53 (b) 10.43 (c) 10.33 (d) 2.78
22. 22.4.08 + 5.7 = ? (a) 9.88 (b) 4.65 (c) 9.78 (d) 9.68
23. 23.Which fraction is greater: 9/11 or 2/7? (a) They are equal (b) 9/11 (c) 2/7
24. 24.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 540 (b) 180 (c) 48 (d) 90
25. 25.₹7000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹7490 (b) ₹8470 (c) ₹7980 (d) ₹980
26. 26.Which is the greatest: 0.364, 0.44, 0.072, 0.4? (a) 0.364 (b) 0.44 (c) 0.072 (d) 0.4
27. 27.Which fraction is greater: 1/3 or 1/5? (a) 1/5 (b) 1/3 (c) They are equal
28. 28.Which is the smallest: 0.013, 0.73, 0.634, 0.7? (a) 0.013 (b) 0.73 (c) 0.634 (d) 0.7
29. 29.What is the average of 23, 6, 10, 16 and 45? (a) 20 (b) 19 (c) 25 (d) 21
30. 30.Which is the smallest: 0.37, 0.3, 0.262, 0.091? (a) 0.37 (b) 0.3 (c) 0.262 (d) 0.091
31. 31.₹4500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹7200 (b) ₹2250 (c) ₹6750 (d) ₹4950
32. 32.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 182 sq cm (d) 168 sq cm
33. 33.₹2500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹4000 (b) ₹2800 (c) ₹1200 (d) ₹3700
34. 34.What is 1/3 of 12? (a) 4 (b) 5 (c) 8 (d) 3
35. 35.If 3 notebooks cost ₹45, how much do 4 notebooks cost? (a) ₹46 (b) ₹60 (c) ₹180 (d) ₹75
36. 36.₹6000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹1500 (b) ₹6300 (c) ₹7500 (d) ₹7800
37. 37.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 36 (c) 82 (d) 54
38. 38.If 7 kites cost ₹147, how much do 8 kites cost? (a) ₹189 (b) ₹1176 (c) ₹148 (d) ₹168
39. 39.What is the simple interest on ₹6500 at 6% per year for 2 years? (a) ₹390 (b) ₹780 (c) ₹1170 (d) ₹7280
40. 40.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm

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