Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 514 · 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 remainder when 383 is divided by 5? (a) 3 (b) 4 (c) 1 (d) 2
2. 2.If 8 July is a Friday, what day of the week is 22 July? (a) Saturday (b) Sunday (c) Thursday (d) Friday
3. 3.If 23 August is a Wednesday, what day of the week is 8 September? (a) Sunday (b) Friday (c) Thursday (d) Saturday
4. 4.1/5 + 2/6 = ? (a) 3/11 (b) 8/15 (c) 17/30 (d) 1/2
5. 5.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 6% (b) 5% (c) 4% (d) 10%
6. 6.Today is Monday. What day of the week will it be after 80 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
7. 7.What is the average of 10, 9, 12, 10 and 69? (a) 22 (b) 21 (c) 23 (d) 24
8. 8.The simple interest on ₹6500 for 3 years is ₹1170. What is the rate per year? (a) 18% (b) 5% (c) 7% (d) 6%
9. 9.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 10 cm (c) 20 cm (d) 11 cm
10. 10.The simple interest on ₹7000 for 5 years is ₹3850. What is the rate per year? (a) 55% (b) 11% (c) 10% (d) 12%
11. 11.8.84 + 7.8 = ? (a) 16.74 (b) 9.62 (c) 16.54 (d) 16.64
12. 12.Every pair follows the same rule: 3 : 6, 5 : 10, 6 : 12. What is 4 : ? (a) 8 (b) 9 (c) 7 (d) 10
13. 13.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹493 (b) ₹565 (c) ₹667 (d) ₹87
14. 14.What is 25% of 80? (a) 40 (b) 60 (c) 200 (d) 20
15. 15.What is the value of the digit 1 in 74.913? (a) 1 (b) 0.001 (c) 0.01 (d) 0.1
16. 16.Which of these numbers is divisible by 9? (a) 384 (b) 387 (c) 397 (d) 388
17. 17.What is the value of the digit 2 in 81.293? (a) 0.002 (b) 0.02 (c) 0.2 (d) 2
18. 18.₹275 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹25 (b) ₹225 (c) ₹75 (d) ₹200
19. 19.Every pair follows the same rule: 5 : 16, 8 : 25, 9 : 28. What is 3 : ? (a) 14 (b) 9 (c) 10 (d) 11
20. 20.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 38 cm (d) 3 cm
21. 21.If 3x + 16 = 34, what is x? (a) 6 (b) 7 (c) 5 (d) 18
22. 22.2/3 + 1/7 = ? (a) 16/21 (b) 6/7 (c) 17/21 (d) 3/10
23. 23.If 5x − 48 = 27, what is x? (a) 15 (b) 14 (c) 75 (d) 16
24. 24.Which fraction is greater: 1/4 or 3/8? (a) They are equal (b) 1/4 (c) 3/8
25. 25.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹330 (b) ₹415 (c) ₹110 (d) ₹550
26. 26.Two ribbons are 8 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 2 cm (c) 24 cm (d) 4 cm
27. 27.What is the value of the digit 7 in 23.675? (a) 0.007 (b) 7 (c) 0.07 (d) 0.7
28. 28.What is 1/2 of 18? (a) 8 (b) 9 (c) 18 (d) 10
29. 29.If 3x + 7 = 46, what is x? (a) 14 (b) 12 (c) 13 (d) 39
30. 30.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 54 sq cm (d) 21 sq cm
31. 31.7/9 + 2/4 = ? (a) 47/36 (b) 9/13 (c) 5/4 (d) 23/18
32. 32.Two ribbons are 16 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 16 cm (c) 80 cm (d) 4 cm
33. 33.What is the remainder when 169 is divided by 5? (a) 4 (b) 1 (c) 2 (d) 3
34. 34.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 56 (b) 57 (c) 32 (d) 28
35. 35.If 13 August is a Thursday, what day of the week is 9 September? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
36. 36.The simple interest on ₹3500 for 3 years is ₹1260. What is the rate per year? (a) 13% (b) 11% (c) 36% (d) 12%
37. 37.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 15 cm (d) 26 cm
38. 38.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 34 (b) 53 (c) 27 (d) 8
39. 39.8/9 + 2/3 = ? (a) 5/6 (b) 14/9 (c) 5/3 (d) 13/9
40. 40.What is the remainder when 263 is divided by 6? (a) 1 (b) 5 (c) 3 (d) 4

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