Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 833 · 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.Which of these numbers is divisible by 11? (a) 7281 (b) 7302 (c) 7289 (d) 7282
2. 2.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 4 days (c) 24 days (d) 14 days
3. 3.If 5x + 1 = 2x + 31, what is x? (a) 11 (b) 12 (c) 9 (d) 10
4. 4.If 3x + 3 = 24, what is x? (a) 8 (b) 9 (c) 7 (d) 21
5. 5.6.98 + 7.1 = ? (a) 14.18 (b) 14.08 (c) 13.98 (d) 7.69
6. 6.Every pair follows the same rule: 2 : 6, 3 : 9, 9 : 27. What is 8 : ? (a) 12 (b) 25 (c) 23 (d) 24
7. 7.A bag marked ₹1280 is sold at a 30% discount. What is its selling price? (a) ₹1250 (b) ₹896 (c) ₹384 (d) ₹1664
8. 8.₹182 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹91 (b) ₹65 (c) ₹13 (d) ₹117
9. 9.The simple interest on ₹8000 for 2 years is ₹1760. What is the rate per year? (a) 12% (b) 10% (c) 22% (d) 11%
10. 10.Today is Saturday. What day of the week will it be after 40 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
11. 11.Today is Thursday. What day of the week will it be after 94 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
12. 12.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
13. 13.What is the simple interest on ₹6000 at 8% per year for 4 years? (a) ₹1920 (b) ₹2400 (c) ₹480 (d) ₹7920
14. 14.Which of these numbers is divisible by 11? (a) 7111 (b) 7095 (c) 7097 (d) 7093
15. 15.What is the value of the digit 3 in 31.457? (a) 3 (b) 0.3 (c) 0.03 (d) 30
16. 16.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 56 min (c) 36 min (d) 224 min
17. 17.If 5 October is a Tuesday, what day of the week is 15 October? (a) Sunday (b) Thursday (c) Friday (d) Saturday
18. 18.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 350 (b) 140 (c) 70 (d) 45
19. 19.Every pair follows the same rule: 7 : 26, 8 : 30, 9 : 34. What is 2 : ? (a) 7 (b) 5 (c) 6 (d) 21
20. 20.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 5 : ? (a) 5 (b) 23 (c) 24 (d) 17
21. 21.The simple interest on ₹2000 for 4 years is ₹800. What is the rate per year? (a) 9% (b) 11% (c) 10% (d) 40%
22. 22.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 16 (c) 40 (d) 51
23. 23.If 3 mangoes cost ₹63, how much do 8 mangoes cost? (a) ₹168 (b) ₹68 (c) ₹504 (d) ₹189
24. 24.Two ribbons are 18 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 45 cm (d) 18 cm
25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
26. 26.₹360 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹324 (b) ₹180 (c) ₹360 (d) ₹36
27. 27.Every pair follows the same rule: 3 : 7, 5 : 23, 6 : 34. What is 9 : ? (a) 80 (b) 13 (c) 67 (d) 79
28. 28.1.57 + 4.8 = ? (a) 6.47 (b) 6.27 (c) 2.05 (d) 6.37
29. 29.If 3x + 7 = 25, what is x? (a) 18 (b) 5 (c) 7 (d) 6
30. 30.If 10 November is a Thursday, what day of the week is 8 December? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
31. 31.What is 60% of 340? (a) 408 (b) 136 (c) 204 (d) 2040
32. 32.If 8 pens cost ₹24, how much do 4 pens cost? (a) ₹96 (b) ₹12 (c) ₹20 (d) ₹15
33. 33.If 19 November is a Thursday, what day of the week is 18 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
34. 34.Which of these numbers is divisible by 4? (a) 1398 (b) 1403 (c) 1405 (d) 1400
35. 35.What is 7/9 of 45? (a) 5 (b) 40 (c) 10 (d) 35
36. 36.A shopkeeper buys a toy for ₹840 and sells it for ₹1260. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
37. 37.₹1000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹1040 (b) ₹160 (c) ₹1160 (d) ₹1200
38. 38.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 46 (b) 30 (c) 20 (d) 56
39. 39.If 9 mangoes cost ₹45, how much do 10 mangoes cost? (a) ₹450 (b) ₹46 (c) ₹50 (d) ₹55
40. 40.Which is the smallest: 0.38, 0.3, 0.027, 0.223? (a) 0.38 (b) 0.3 (c) 0.027 (d) 0.223

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad