Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 772 · 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.Every pair follows the same rule: 2 : 5, 4 : 7, 9 : 12. What is 5 : ? (a) 7 (b) 9 (c) 10 (d) 8
2. 2.Which fraction is greater: 4/7 or 5/9? (a) They are equal (b) 5/9 (c) 4/7
3. 3.Which of these numbers is divisible by 9? (a) 5211 (b) 5219 (c) 5207 (d) 5228
4. 4.If 3 May is a Thursday, what day of the week is 13 May? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
5. 5.Every pair follows the same rule: 6 : 34, 7 : 47, 8 : 62. What is 2 : ? (a) 30 (b) 3 (c) 2 (d) 1
6. 6.2/9 + 1/4 = ? (a) 4/9 (b) 17/36 (c) 3/13 (d) 1/2
7. 7.Which of these numbers is divisible by 11? (a) 6702 (b) 6684 (c) 6688 (d) 6697
8. 8.Which is the greatest: 0.2, 0.22, 0.087, 0.157? (a) 0.2 (b) 0.22 (c) 0.087 (d) 0.157
9. 9.₹10000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹11400 (b) ₹1400 (c) ₹12100 (d) ₹10700
10. 10.3.37 + 6.1 = ? (a) 9.57 (b) 9.47 (c) 3.98 (d) 9.37
11. 11.What is 50% of 360? (a) 1800 (b) 360 (c) 180 (d) 181
12. 12.Which is the smallest: 0.5, 0.419, 0.025, 0.53? (a) 0.5 (b) 0.419 (c) 0.025 (d) 0.53
13. 13.A bag marked ₹1340 is sold at a 40% discount. What is its selling price? (a) ₹536 (b) ₹804 (c) ₹1876 (d) ₹1300
14. 14.What is the value of the digit 3 in 96.352? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
15. 15.What is the value of the digit 2 in 31.276? (a) 0.02 (b) 2 (c) 0.2 (d) 0.002
16. 16.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 2 (d) 12
17. 17.Two ribbons are 36 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 36 cm (c) 9 cm (d) 45 cm
18. 18.Every pair follows the same rule: 3 : 11, 5 : 27, 6 : 38. What is 8 : ? (a) 66 (b) 16 (c) 60 (d) 67
19. 19.If 2 pens cost ₹32, how much do 12 pens cost? (a) ₹192 (b) ₹42 (c) ₹384 (d) ₹208
20. 20.If 9 pens cost ₹144, how much do 12 pens cost? (a) ₹147 (b) ₹208 (c) ₹1728 (d) ₹192
21. 21.What is the simple interest on ₹8000 at 11% per year for 2 years? (a) ₹2640 (b) ₹880 (c) ₹9760 (d) ₹1760
22. 22.If 1 January is a Monday, what day of the week is 14 January? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
23. 23.What is the units digit of 9^24? (a) 2 (b) 1 (c) 0 (d) 9
24. 24.Every pair follows the same rule: 2 : 1, 8 : 61, 9 : 78. What is 5 : ? (a) 22 (b) 10 (c) 21 (d) 23
25. 25.₹208 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹208 (b) ₹182 (c) ₹104 (d) ₹26
26. 26.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 7 days
27. 27.₹9000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹14400 (b) ₹10080 (c) ₹15480 (d) ₹5400
28. 28.Which of these numbers is divisible by 8? (a) 6358 (b) 6362 (c) 6360 (d) 6372
29. 29.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 15% (c) 5% (d) 10%
30. 30.If x/3 + 6 = 11, what is x? (a) 5 (b) 15 (c) 27 (d) 51
31. 31.Every pair follows the same rule: 5 : 25, 8 : 64, 9 : 81. What is 4 : ? (a) 24 (b) 16 (c) 17 (d) 20
32. 32.The simple interest on ₹6000 for 5 years is ₹1800. What is the rate per year? (a) 5% (b) 7% (c) 6% (d) 30%
33. 33.If 7 August is a Tuesday, what day of the week is 18 August? (a) Monday (b) Sunday (c) Saturday (d) Friday
34. 34.What is 20% of 540? (a) 1080 (b) 108 (c) 216 (d) 432
35. 35.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 24 days (b) 12 days (c) 23 days (d) 25 days
36. 36.Every pair follows the same rule: 3 : 16, 7 : 20, 8 : 21. What is 2 : ? (a) 14 (b) 15 (c) 17 (d) 16
37. 37.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 38 (c) 24 (d) 28
38. 38.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 23 (b) 33 (c) 24 (d) 68
39. 39.What is the simple interest on ₹8000 at 5% per year for 5 years? (a) ₹10000 (b) ₹2400 (c) ₹400 (d) ₹2000
40. 40.A teacher has 15 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 12 (d) 3

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