Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 587 · 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 average of all the whole numbers from 5 to 11? (a) 8 (b) 6 (c) 9 (d) 3
2. 2.If x/4 + 3 = 10, what is x? (a) 7 (b) 37 (c) 28 (d) 52
3. 3.A teacher has 14 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 49 (c) 1 (d) 14
4. 4.If 6x + 5 = 89, what is x? (a) 84 (b) 14 (c) 13 (d) 15
5. 5.Two ribbons are 36 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 24 cm (d) 36 cm
6. 6.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 57 (c) 56 (d) 112
7. 7.What is the remainder when 310 is divided by 4? (a) 0 (b) 1 (c) 3 (d) 2
8. 8.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
9. 9.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 40 (b) 98 (c) 48 (d) 41
10. 10.What is the value of the digit 4 in 24.319? (a) 40 (b) 0.4 (c) 0.04 (d) 4
11. 11.What is the average of 72, 46, 67, 73 and 42? (a) 75 (b) 61 (c) 59 (d) 60
12. 12.If 18 January is a Monday, what day of the week is 20 February? (a) Friday (b) Sunday (c) Monday (d) Saturday
13. 13.What is 3/7 of 56? (a) 24 (b) 32 (c) 25 (d) 8
14. 14.1.65 + 2.1 = ? (a) 3.65 (b) 3.75 (c) 1.86 (d) 3.85
15. 15.If 6x − 2 = 10, what is x? (a) 12 (b) 2 (c) 3 (d) 1
16. 16.6 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 31 days (c) 14 days (d) 30 days
17. 17.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 10% (c) 15% (d) 20%
18. 18.A bag marked ₹1040 is sold at a 30% discount. What is its selling price? (a) ₹1352 (b) ₹1010 (c) ₹728 (d) ₹312
19. 19.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹1278 (b) ₹142 (c) ₹1410 (d) ₹1562
20. 20.What is the value of the digit 8 in 72.158? (a) 8 (b) 0.8 (c) 0.008 (d) 0.08
21. 21.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 15% (b) 20% (c) 39% (d) 10%
22. 22.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 189 min (c) 30 min (d) 3 min
23. 23.Which of these numbers is divisible by 8? (a) 6360 (b) 6371 (c) 6359 (d) 6361
24. 24.Which of these numbers is divisible by 8? (a) 3622 (b) 3607 (c) 3608 (d) 3612
25. 25.If 3 notebooks cost ₹69, how much do 8 notebooks cost? (a) ₹552 (b) ₹74 (c) ₹184 (d) ₹207
26. 26.The simple interest on ₹9000 for 4 years is ₹2160. What is the rate per year? (a) 24% (b) 7% (c) 5% (d) 6%
27. 27.₹3000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹3150 (b) ₹450 (c) ₹3600 (d) ₹3450
28. 28.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
29. 29.Today is Wednesday. What day of the week will it be after 58 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
30. 30.If 9x − 89 = 37, what is x? (a) 13 (b) 14 (c) 15 (d) 126
31. 31.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 68% (b) 15% (c) 10% (d) 5%
32. 32.Every pair follows the same rule: 2 : 8, 3 : 13, 8 : 68. What is 4 : ? (a) 16 (b) 10 (c) 24 (d) 20
33. 33.6.74 + 5.8 = ? (a) 12.64 (b) 12.44 (c) 12.54 (d) 7.32
34. 34.In how many years will ₹5000 earn ₹600 simple interest at 6% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
35. 35.Every pair follows the same rule: 3 : 11, 8 : 26, 9 : 29. What is 7 : ? (a) 22 (b) 23 (c) 24 (d) 15
36. 36.What is the remainder when 55 is divided by 4? (a) 2 (b) 3 (c) 0 (d) 1
37. 37.What is the value of the digit 5 in 43.265? (a) 0.5 (b) 0.005 (c) 0.05 (d) 5
38. 38.Today is Thursday. What day of the week will it be after 63 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
39. 39.Every pair follows the same rule: 2 : 19, 3 : 20, 5 : 22. What is 4 : ? (a) 23 (b) 21 (c) 20 (d) 22
40. 40.Every pair follows the same rule: 2 : 3, 3 : 8, 8 : 63. What is 5 : ? (a) 25 (b) 30 (c) 6 (d) 24

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