Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 858 · 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 3? (a) 2131 (b) 2138 (c) 2135 (d) 2133
2. 2.Every pair follows the same rule: 3 : 9, 4 : 10, 9 : 15. What is 7 : ? (a) 14 (b) 21 (c) 12 (d) 13
3. 3.Today is Saturday. What day of the week will it be after 37 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
4. 4.What is the remainder when 115 is divided by 3? (a) 2 (b) 0 (c) 1
5. 5.Which fraction is greater: 3/11 or 1/5? (a) 3/11 (b) 1/5 (c) They are equal
6. 6.If x/4 + 6 = 10, what is x? (a) 64 (b) 16 (c) 34 (d) 4
7. 7.Today is Sunday. What day of the week will it be after 93 days? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
8. 8.What is the simple interest on ₹7000 at 7% per year for 2 years? (a) ₹1470 (b) ₹490 (c) ₹980 (d) ₹7980
9. 9.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 12 (b) 216 (c) 186 (d) 24
10. 10.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
11. 11.What is 40% of 540? (a) 2160 (b) 432 (c) 324 (d) 216
12. 12.If 7x + 7 = 63, what is x? (a) 8 (b) 56 (c) 9 (d) 10
13. 13.A teacher has 12 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 3 (c) 12 (d) 42
14. 14.What is 2/3 of 24? (a) 24 (b) 8 (c) 17 (d) 16
15. 15.If 9 notebooks cost ₹126, how much do 8 notebooks cost? (a) ₹1008 (b) ₹126 (c) ₹125 (d) ₹112
16. 16.A teacher has 60 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 60 (c) 6 (d) 12
17. 17.Every pair follows the same rule: 3 : 5, 8 : 25, 9 : 29. What is 4 : ? (a) 8 (b) 10 (c) 6 (d) 9
18. 18.If 6x + 13 = 3x + 31, what is x? (a) 2 (b) 7 (c) 8 (d) 6
19. 19.Which is the greatest: 0.761, 0.89, 0.8, 0.055? (a) 0.761 (b) 0.89 (c) 0.8 (d) 0.055
20. 20.What is the value of the digit 1 in 38.174? (a) 0.001 (b) 1 (c) 0.01 (d) 0.1
21. 21.In how many years will ₹6000 earn ₹1440 simple interest at 12% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
22. 22.Which fraction is greater: 1/11 or 3/4? (a) 1/11 (b) 3/4 (c) They are equal
23. 23.Which of these numbers is divisible by 6? (a) 2980 (b) 2965 (c) 2970 (d) 2973
24. 24.If 2x − 2 = 20, what is x? (a) 11 (b) 22 (c) 9 (d) 12
25. 25.What is 5% of 740? (a) 370 (b) 74 (c) 703 (d) 37
26. 26.1/4 + 1/2 = ? (a) 1 (b) 1/3 (c) 1/2 (d) 3/4
27. 27.Today is Friday. What day of the week will it be after 12 days? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
28. 28.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 20 (c) 45 (d) 30
29. 29.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
30. 30.₹7500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹1500 (b) ₹9000 (c) ₹8250 (d) ₹9750
31. 31.What is 60% of 880? (a) 5280 (b) 1056 (c) 352 (d) 528
32. 32.If 9 pens cost ₹63, how much do 7 pens cost? (a) ₹56 (b) ₹61 (c) ₹49 (d) ₹441
33. 33.Two ribbons are 20 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 50 cm (b) 20 cm (c) 10 cm (d) 5 cm
34. 34.₹120 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹120 (b) ₹105 (c) ₹15 (d) ₹60
35. 35.What is the units digit of 8^55? (a) 2 (b) 8 (c) 6 (d) 4
36. 36.What is the average of all the whole numbers from 45 to 65? (a) 10 (b) 55 (c) 20 (d) 56
37. 37.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
38. 38.What is the smallest number you must add to 181 to make it divisible by 3? (a) 1 (b) 2
39. 39.If 14 July is a Tuesday, what day of the week is 14 August? (a) Saturday (b) Sunday (c) Thursday (d) Friday
40. 40.Which fraction is greater: 2/5 or 11/12? (a) 2/5 (b) They are equal (c) 11/12

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