Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 224 · 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 fraction is greater: 2/3 or 3/4? (a) 3/4 (b) They are equal (c) 2/3
2. 2.2.69 + 9.6 = ? (a) 3.65 (b) 12.29 (c) 12.19 (d) 12.39
3. 3.What is the value of the digit 7 in 69.578? (a) 0.7 (b) 7 (c) 0.07 (d) 0.007
4. 4.If 11 December is a Thursday, what day of the week is 19 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday
5. 5.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 24 cm (d) 32 cm
6. 6.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 19 days (c) 2 days (d) 4 days
7. 7.If x/5 + 4 = 8, what is x? (a) 36 (b) 4 (c) 60 (d) 20
8. 8.Every pair follows the same rule: 2 : 7, 6 : 19, 8 : 25. What is 7 : ? (a) 21 (b) 12 (c) 23 (d) 22
9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
10. 10.What is the simple interest on ₹1000 at 2% per year for 2 years? (a) ₹20 (b) ₹40 (c) ₹60 (d) ₹1040
11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
12. 12.₹234 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹234 (b) ₹195 (c) ₹39 (d) ₹117
13. 13.What is the smallest number you must add to 117 to make it divisible by 11? (a) 4 (b) 7 (c) 5 (d) 3
14. 14.The simple interest on ₹2500 for 5 years is ₹250. What is the rate per year? (a) 2% (b) 10% (c) 1% (d) 3%
15. 15.Two ribbons are 6 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 8 cm (d) 2 cm
16. 16.What is the value of the digit 2 in 12.349? (a) 2 (b) 0.02 (c) 0.2 (d) 20
17. 17.4.59 + 3.8 = ? (a) 8.39 (b) 8.29 (c) 8.49 (d) 4.97
18. 18.Every pair follows the same rule: 3 : 15, 4 : 20, 7 : 35. What is 2 : ? (a) 11 (b) 10 (c) 9 (d) 14
19. 19.Which fraction is greater: 3/7 or 1/3? (a) 3/7 (b) 1/3 (c) They are equal
20. 20.Every pair follows the same rule: 3 : 8, 6 : 11, 9 : 14. What is 5 : ? (a) 9 (b) 11 (c) 12 (d) 10
21. 21.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
22. 22.What is the smallest number you must add to 82 to make it divisible by 8? (a) 7 (b) 5 (c) 6 (d) 2
23. 23.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹47 (b) ₹188 (c) ₹94 (d) ₹141
24. 24.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 4 days (d) 6 days
25. 25.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
26. 26.2.22 + 4.1 = ? (a) 6.42 (b) 6.32 (c) 6.22 (d) 2.63
27. 27.Every pair follows the same rule: 4 : 20, 6 : 40, 7 : 53. What is 3 : ? (a) 1 (b) 15 (c) 13 (d) 19
28. 28.₹2000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹2120 (b) ₹80 (c) ₹2040 (d) ₹2080
29. 29.In how many years will ₹2000 earn ₹480 simple interest at 12% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
30. 30.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 143 cm (d) 48 cm
31. 31.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 2 min (c) 60 min (d) 30 min
32. 32.The simple interest on ₹5500 for 4 years is ₹660. What is the rate per year? (a) 3% (b) 2% (c) 4% (d) 12%
33. 33.If 15 April is a Tuesday, what day of the week is 12 May? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
34. 34.If 9x − 4 = 41, what is x? (a) 5 (b) 45 (c) 4 (d) 6
35. 35.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 40 (c) 64 (d) 30
36. 36.The simple interest on ₹1500 for 5 years is ₹150. What is the rate per year? (a) 1% (b) 2% (c) 3% (d) 10%
37. 37.In how many years will ₹2000 earn ₹180 simple interest at 3% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
38. 38.If 6 August is a Tuesday, what day of the week is 22 August? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
39. 39.What is the simple interest on ₹1000 at 6% per year for 2 years? (a) ₹60 (b) ₹180 (c) ₹1120 (d) ₹120
40. 40.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 65 (c) 80 (d) 25

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