Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 557 · 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 value of the digit 6 in 69.145? (a) 60 (b) 0.06 (c) 0.6 (d) 6
2. 2.A bag marked ₹560 is sold at a 15% discount. What is its selling price? (a) ₹84 (b) ₹476 (c) ₹545 (d) ₹644
3. 3.If 12 October is a Sunday, what day of the week is 22 October? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
4. 4.If 8x − 8 = 56, what is x? (a) 6 (b) 64 (c) 9 (d) 8
5. 5.What is the smallest number you must add to 248 to make it divisible by 6? (a) 4 (b) 3 (c) 5 (d) 2
6. 6.If 9 mangoes cost ₹135, how much do 7 mangoes cost? (a) ₹133 (b) ₹105 (c) ₹945 (d) ₹120
7. 7.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 16 (b) 45 (c) 57 (d) 86
8. 8.Which fraction is greater: 2/5 or 2/3? (a) They are equal (b) 2/5 (c) 2/3
9. 9.1.37 + 3.8 = ? (a) 5.17 (b) 1.75 (c) 5.07 (d) 5.27
10. 10.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 50 sq cm (d) 30 sq cm
11. 11.Which of these numbers is divisible by 3? (a) 1273 (b) 1279 (c) 1276 (d) 1275
12. 12.5.86 + 4.3 = ? (a) 10.06 (b) 10.16 (c) 6.29 (d) 10.26
13. 13.What is the simple interest on ₹2000 at 4% per year for 5 years? (a) ₹2400 (b) ₹480 (c) ₹400 (d) ₹80
14. 14.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 22 sq cm (c) 90 sq cm (d) 44 sq cm
15. 15.Which is the smallest: 0.093, 0.5, 0.428, 0.54? (a) 0.093 (b) 0.5 (c) 0.428 (d) 0.54
16. 16.If 6x + 12 = 24, what is x? (a) 12 (b) 2 (c) 3 (d) 6
17. 17.If 17 August is a Thursday, what day of the week is 8 September? (a) Thursday (b) Friday (c) Saturday (d) Sunday
18. 18.If 8x − 1 = 63, what is x? (a) 8 (b) 64 (c) 7 (d) 9
19. 19.What is the average of all the whole numbers from 52 to 80? (a) 67 (b) 14 (c) 66 (d) 28
20. 20.A teacher has 44 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 44 (c) 33 (d) 11
21. 21.If 9 December is a Tuesday, what day of the week is 25 December? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
22. 22.If 6 notebooks cost ₹144, how much do 7 notebooks cost? (a) ₹192 (b) ₹145 (c) ₹1008 (d) ₹168
23. 23.If 6 March is a Monday, what day of the week is 15 March? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
24. 24.What is the simple interest on ₹8000 at 3% per year for 3 years? (a) ₹960 (b) ₹240 (c) ₹720 (d) ₹8720
25. 25.What is the average of 13, 18, 10, 15 and 54? (a) 22 (b) 23 (c) 21 (d) 24
26. 26.₹390 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹30 (b) ₹195 (c) ₹270 (d) ₹120
27. 27.Every pair follows the same rule: 2 : 22, 4 : 24, 8 : 28. What is 3 : ? (a) 24 (b) 33 (c) 23 (d) 22
28. 28.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
29. 29.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm
30. 30.1/4 + 1/6 = ? (a) 1/3 (b) 1/2 (c) 5/12 (d) 1/5
31. 31.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 36 sq cm (d) 56 sq cm
32. 32.Two ribbons are 50 cm and 80 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) 30 cm (c) 10 cm (d) 50 cm
33. 33.Every pair follows the same rule: 2 : 12, 5 : 33, 6 : 44. What is 3 : ? (a) 13 (b) 11 (c) 18 (d) 17
34. 34.Which fraction is greater: 3/4 or 4/5? (a) They are equal (b) 3/4 (c) 4/5
35. 35.2/3 + 4/7 = ? (a) 26/21 (b) 25/21 (c) 3/5 (d) 9/7
36. 36.1/3 + 1/2 = ? (a) 1 (b) 2/3 (c) 2/5 (d) 5/6
37. 37.If 17 November is a Monday, what day of the week is 9 December? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
38. 38.What is 10% of 500? (a) 450 (b) 100 (c) 50 (d) 500
39. 39.What is the units digit of 7^36? (a) 3 (b) 1 (c) 7 (d) 9
40. 40.Every pair follows the same rule: 6 : 9, 7 : 11, 9 : 15. What is 8 : ? (a) 12 (b) 14 (c) 11 (d) 13

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