Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 762 · 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: 4 : 13, 7 : 46, 8 : 61. What is 2 : ? (a) 11 (b) 3 (c) 1 (d) 2
2. 2.If 14 July is a Saturday, what day of the week is 23 July? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
3. 3.What is the simple interest on ₹6500 at 12% per year for 5 years? (a) ₹780 (b) ₹3900 (c) ₹10400 (d) ₹4680
4. 4.Every pair follows the same rule: 2 : 6, 3 : 11, 7 : 51. What is 9 : ? (a) 27 (b) 71 (c) 83 (d) 13
5. 5.If 5x + 3 = 63, what is x? (a) 13 (b) 12 (c) 60 (d) 11
6. 6.What is the value of the digit 7 in 74.123? (a) 7 (b) 70 (c) 0.7 (d) 0.07
7. 7.What is the average of all the whole numbers from 22 to 32? (a) 10 (b) 28 (c) 27 (d) 5
8. 8.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
9. 9.A bag marked ₹940 is sold at a 40% discount. What is its selling price? (a) ₹900 (b) ₹564 (c) ₹1316 (d) ₹376
10. 10.If 6x + 3 = 4x + 23, what is x? (a) 11 (b) 13 (c) 10 (d) 2
11. 11.What is the simple interest on ₹1000 at 12% per year for 5 years? (a) ₹1600 (b) ₹720 (c) ₹120 (d) ₹600
12. 12.₹528 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹264 (b) ₹44 (c) ₹308 (d) ₹220
13. 13.If 5x + 5 = 30, what is x? (a) 7 (b) 5 (c) 6 (d) 25
14. 14.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 90 cm
15. 15.A bag marked ₹720 is sold at a 30% discount. What is its selling price? (a) ₹690 (b) ₹936 (c) ₹504 (d) ₹216
16. 16.₹48 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹30 (b) ₹6 (c) ₹24 (d) ₹18
17. 17.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 65 (c) 56 (d) 12
18. 18.What is 25% of 480? (a) 1200 (b) 240 (c) 360 (d) 120
19. 19.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 20 (b) 140 (c) 11 (d) 125
20. 20.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 34 days (c) 33 days (d) 15 days
21. 21.Which is the greatest: 0.2, 0.22, 0.033, 0.134? (a) 0.2 (b) 0.22 (c) 0.033 (d) 0.134
22. 22.Every pair follows the same rule: 4 : 10, 5 : 12, 7 : 16. What is 6 : ? (a) 12 (b) 13 (c) 14 (d) 15
23. 23.If 7 pens cost ₹56, how much do 3 pens cost? (a) ₹168 (b) ₹32 (c) ₹52 (d) ₹24
24. 24.If 6 mangoes cost ₹150, how much do 8 mangoes cost? (a) ₹225 (b) ₹152 (c) ₹200 (d) ₹1200
25. 25.What is the value of the digit 3 in 42.351? (a) 0.003 (b) 0.3 (c) 3 (d) 0.03
26. 26.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 54 (c) 78 (d) 16
27. 27.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 2 (c) 4 (d) 12
28. 28.What is the smallest number you must add to 155 to make it divisible by 4? (a) 3 (b) 2 (c) 1
29. 29.Which is the smallest: 0.068, 0.8, 0.765, 0.81? (a) 0.068 (b) 0.8 (c) 0.765 (d) 0.81
30. 30.If 7 August is a Friday, what day of the week is 21 August? (a) Thursday (b) Sunday (c) Saturday (d) Friday
31. 31.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 24 (c) 71 (d) 70
32. 32.What is the units digit of 9^41? (a) 7 (b) 1 (c) 9 (d) 8
33. 33.What is the value of the digit 2 in 46.921? (a) 0.2 (b) 0.002 (c) 0.02 (d) 2
34. 34.Which fraction is greater: 9/10 or 2/11? (a) 9/10 (b) 2/11 (c) They are equal
35. 35.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹142 (b) ₹1562 (c) ₹1410 (d) ₹1278
36. 36.Every pair follows the same rule: 2 : 12, 3 : 15, 7 : 27. What is 5 : ? (a) 30 (b) 22 (c) 15 (d) 21
37. 37.What is the value of the digit 8 in 83.412? (a) 0.8 (b) 8 (c) 0.08 (d) 80
38. 38.If 5 December is a Friday, what day of the week is 20 December? (a) Saturday (b) Sunday (c) Friday (d) Monday
39. 39.What is the remainder when 84 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 3
40. 40.What is the value of the digit 2 in 97.231? (a) 0.02 (b) 0.2 (c) 2 (d) 0.002

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