Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 955 · 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. 1.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 13 days
2. 2.If 11 August is a Monday, what day of the week is 25 August? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
3. 3.What is the smallest number you must add to 81 to make it divisible by 5? (a) 4 (b) 1 (c) 3 (d) 2
4. 4.Every pair follows the same rule: 2 : 19, 4 : 21, 9 : 26. What is 3 : ? (a) 20 (b) 19 (c) 22 (d) 21
5. 5.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 5 cm (c) 4 cm (d) 8 cm
6. 6.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 120 (b) 27 (c) 180 (d) 60
7. 7.The simple interest on ₹9000 for 4 years is ₹1440. What is the rate per year? (a) 5% (b) 4% (c) 3% (d) 16%
8. 8.Every pair follows the same rule: 5 : 18, 7 : 20, 8 : 21. What is 4 : ? (a) 19 (b) 17 (c) 18 (d) 16
9. 9.Every pair follows the same rule: 3 : 9, 4 : 12, 6 : 18. What is 8 : ? (a) 14 (b) 23 (c) 24 (d) 25
10. 10.₹5500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹880 (b) ₹6600 (c) ₹5720 (d) ₹6380
11. 11.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 8 (b) 26 (c) 18 (d) 9
12. 12.The simple interest on ₹5000 for 5 years is ₹2250. What is the rate per year? (a) 9% (b) 8% (c) 45% (d) 10%
13. 13.In how many years will ₹3500 earn ₹945 simple interest at 9% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
14. 14.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 2 (b) 31 (c) 14 (d) 3
15. 15.In how many years will ₹2500 earn ₹375 simple interest at 5% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
16. 16.If 7x + 15 = x + 33, what is x? (a) 8 (b) 5 (c) 4 (d) 3
17. 17.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 75 (b) 150 (c) 40 (d) 375
18. 18.Which fraction is greater: 1/4 or 7/8? (a) They are equal (b) 1/4 (c) 7/8
19. 19.What is 50% of 380? (a) 380 (b) 1900 (c) 191 (d) 190
20. 20.Every pair follows the same rule: 2 : 19, 4 : 21, 8 : 25. What is 3 : ? (a) 21 (b) 20 (c) 22 (d) 19
21. 21.Which is the smallest: 0.012, 0.285, 0.39, 0.3? (a) 0.012 (b) 0.285 (c) 0.39 (d) 0.3
22. 22.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 35% (b) 25% (c) 42% (d) 30%
23. 23.What is the units digit of 4^34? (a) 6 (b) 4 (c) 7 (d) 5
24. 24.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
25. 25.Which is the greatest: 0.364, 0.016, 0.4, 0.45? (a) 0.364 (b) 0.016 (c) 0.4 (d) 0.45
26. 26.3.54 + 2.8 = ? (a) 6.44 (b) 6.34 (c) 6.24 (d) 3.82
27. 27.₹175 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹75 (b) ₹125 (c) ₹25 (d) ₹100
28. 28.₹175 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹150 (b) ₹25 (c) ₹151 (d) ₹175
29. 29.If 15 October is a Tuesday, what day of the week is 26 October? (a) Friday (b) Saturday (c) Monday (d) Sunday
30. 30.What is the average of 63, 68, 74 and 75? (a) 70 (b) 71 (c) 72 (d) 69
31. 31.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
32. 32.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 60 (b) 360 (c) 42 (d) 120
33. 33.Which of these numbers is divisible by 8? (a) 6409 (b) 6421 (c) 6408 (d) 6405
34. 34.What is 4/7 of 14? (a) 10 (b) 6 (c) 8 (d) 2
35. 35.If 3 notebooks cost ₹12, how much do 11 notebooks cost? (a) ₹132 (b) ₹20 (c) ₹48 (d) ₹44
36. 36.Two ribbons are 18 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 3 cm (c) 72 cm (d) 6 cm
37. 37.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 4 min (c) 192 min (d) 48 min
38. 38.Which fraction is greater: 5/6 or 4/9? (a) They are equal (b) 4/9 (c) 5/6
39. 39.Which fraction is greater: 5/7 or 1/4? (a) 1/4 (b) They are equal (c) 5/7
40. 40.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 14 min (d) 48 min

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