Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 663 · 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 3/4 of 28? (a) 28 (b) 7 (c) 21 (d) 22
2. 2.What is the smallest number you must add to 388 to make it divisible by 6? (a) 2 (b) 1 (c) 4 (d) 3
3. 3.4/8 + 1/4 = ? (a) 5/8 (b) 5/12 (c) 3/4 (d) 7/8
4. 4.9.33 + 1.9 = ? (a) 11.13 (b) 11.23 (c) 11.33 (d) 9.52
5. 5.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 6 min (c) 216 min (d) 30 min
6. 6.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 52 (b) 8 (c) 45 (d) 89
7. 7.In how many years will ₹6000 earn ₹3300 simple interest at 11% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
8. 8.What is 20% of 160? (a) 64 (b) 128 (c) 320 (d) 32
9. 9.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 21 sq cm (c) 42 sq cm (d) 121 sq cm
10. 10.Every pair follows the same rule: 3 : 7, 6 : 13, 7 : 15. What is 8 : ? (a) 18 (b) 17 (c) 16 (d) 12
11. 11.2/4 + 2/4 = ? (a) 3/4 (b) 1 (c) 5/4 (d) 1/2
12. 12.What is the value of the digit 6 in 18.436? (a) 6 (b) 0.06 (c) 0.006 (d) 0.6
13. 13.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 15% (b) 10% (c) 34% (d) 5%
14. 14.In how many years will ₹9000 earn ₹1800 simple interest at 4% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
15. 15.If 3x + 1 = 10, what is x? (a) 9 (b) 2 (c) 3 (d) 4
16. 16.Today is Friday. What day of the week will it be after 76 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
17. 17.What is the simple interest on ₹8000 at 12% per year for 3 years? (a) ₹3840 (b) ₹960 (c) ₹2880 (d) ₹10880
18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 64 (b) 65 (c) 4 (d) 86
19. 19.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 2 (b) 7 (c) 8 (d) 9
20. 20.₹504 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹36 (b) ₹180 (c) ₹252 (d) ₹324
21. 21.What is the units digit of 4^29? (a) 6 (b) 4 (c) 3 (d) 5
22. 22.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 24 cm (d) 12 cm
23. 23.If 10 July is a Saturday, what day of the week is 11 August? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
24. 24.What is 1/8 of 96? (a) 12 (b) 24 (c) 13 (d) 84
25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
26. 26.If x/3 + 14 = 17, what is x? (a) 93 (b) 9 (c) 37 (d) 3
27. 27.1/3 + 3/4 = ? (a) 4/7 (b) 13/12 (c) 7/6 (d) 1
28. 28.What is the smallest number you must add to 325 to make it divisible by 9? (a) 8 (b) 1 (c) 6 (d) 7
29. 29.If 4 December is a Sunday, what day of the week is 18 December? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
30. 30.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 20% (b) 6% (c) 10% (d) 5%
31. 31.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 38 sq cm (d) 51 sq cm
32. 32.1.61 + 5.3 = ? (a) 7.01 (b) 2.14 (c) 6.81 (d) 6.91
33. 33.Which is the smallest: 0.252, 0.39, 0.3, 0.098? (a) 0.252 (b) 0.39 (c) 0.3 (d) 0.098
34. 34.₹132 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹66 (b) ₹33 (c) ₹132 (d) ₹99
35. 35.What is the simple interest on ₹5000 at 10% per year for 2 years? (a) ₹6000 (b) ₹1000 (c) ₹500 (d) ₹1500
36. 36.₹7500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹7800 (b) ₹9000 (c) ₹1500 (d) ₹9300
37. 37.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
38. 38.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
39. 39.A shopkeeper buys a toy for ₹700 and sells it for ₹980. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
40. 40.What is 5% of 100? (a) 10 (b) 5 (c) 50 (d) 95

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