Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 552 · 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.₹476 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹34 (b) ₹238 (c) ₹306 (d) ₹170
2. 2.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 30% (b) 5% (c) 15% (d) 10%
3. 3.If 2 pens cost ₹34, how much do 5 pens cost? (a) ₹37 (b) ₹170 (c) ₹85 (d) ₹102
4. 4.5.44 + 8.1 = ? (a) 6.25 (b) 13.64 (c) 13.54 (d) 13.44
5. 5.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 24 cm (d) 12 cm
6. 6.What is 3/8 of 64? (a) 40 (b) 32 (c) 24 (d) 8
7. 7.If 4x + 9 = 2x + 23, what is x? (a) 9 (b) 8 (c) 16 (d) 7
8. 8.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 2 cm
9. 9.What is the simple interest on ₹4500 at 6% per year for 2 years? (a) ₹5040 (b) ₹540 (c) ₹810 (d) ₹270
10. 10.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 120 cm (d) 34 cm
11. 11.Which of these numbers is divisible by 9? (a) 3539 (b) 3532 (c) 3553 (d) 3537
12. 12.Two ribbons are 63 cm and 72 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) 504 cm (c) 9 cm (d) 63 cm
13. 13.What is 3/5 of 35? (a) 28 (b) 7 (c) 21 (d) 14
14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 16% (b) 10% (c) 5% (d) 15%
15. 15.What is the average of all the whole numbers from 18 to 42? (a) 24 (b) 12 (c) 31 (d) 30
16. 16.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm
17. 17.If 16 August is a Sunday, what day of the week is 3 September? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
18. 18.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm
19. 19.What is the simple interest on ₹5500 at 3% per year for 2 years? (a) ₹5830 (b) ₹495 (c) ₹165 (d) ₹330
20. 20.If 3x + 21 = 39, what is x? (a) 20 (b) 7 (c) 18 (d) 6
21. 21.Every pair follows the same rule: 5 : 8, 8 : 11, 9 : 12. What is 2 : ? (a) 6 (b) 7 (c) 5 (d) 4
22. 22.If 25 January is a Monday, what day of the week is 18 February? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
23. 23.If 9x + 5 = 104, what is x? (a) 10 (b) 99 (c) 12 (d) 11
24. 24.1.97 + 4.8 = ? (a) 2.45 (b) 6.67 (c) 6.87 (d) 6.77
25. 25.A shopkeeper buys a toy for ₹360 and sells it for ₹342. What is his loss percent? (a) 6% (b) 5% (c) 18% (d) 10%
26. 26.A bag marked ₹360 is sold at a 15% discount. What is its selling price? (a) ₹345 (b) ₹414 (c) ₹54 (d) ₹306
27. 27.If 7x + 19 = 110, what is x? (a) 91 (b) 14 (c) 12 (d) 13
28. 28.Every pair follows the same rule: 5 : 9, 7 : 13, 8 : 15. What is 3 : ? (a) 5 (b) 7 (c) 6 (d) 4
29. 29.Every pair follows the same rule: 3 : 15, 7 : 35, 9 : 45. What is 4 : ? (a) 16 (b) 19 (c) 20 (d) 21
30. 30.If 4x − 4 = 16, what is x? (a) 3 (b) 6 (c) 20 (d) 5
31. 31.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 9 : ? (a) 81 (b) 11 (c) 77 (d) 18
32. 32.Which fraction is greater: 9/10 or 1/8? (a) 1/8 (b) They are equal (c) 9/10
33. 33.Which of these numbers is divisible by 3? (a) 955 (b) 958 (c) 961 (d) 957
34. 34.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 162 sq cm (d) 180 sq cm
35. 35.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 7 cm
36. 36.Two ribbons are 20 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 20 cm (c) 15 cm (d) 1 cm
37. 37.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 17 days (d) 12 days
38. 38.Every pair follows the same rule: 2 : 2, 3 : 7, 8 : 62. What is 5 : ? (a) 5 (b) 24 (c) 23 (d) 29
39. 39.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 21 (c) 39 (d) 42
40. 40.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%

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