Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 634 · 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.A teacher has 12 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 1 (c) 2 (d) 84
2. 2.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
3. 3.What is the simple interest on ₹1000 at 4% per year for 3 years? (a) ₹1120 (b) ₹40 (c) ₹160 (d) ₹120
4. 4.If 11 August is a Friday, what day of the week is 23 August? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
5. 5.What is 5% of 440? (a) 220 (b) 418 (c) 44 (d) 22
6. 6.If 9x + 24 = 96, what is x? (a) 7 (b) 8 (c) 9 (d) 72
7. 7.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 28 days (c) 27 days (d) 3 days
8. 8.If 13 October is a Saturday, what day of the week is 28 October? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
9. 9.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
10. 10.If 12 January is a Thursday, what day of the week is 10 February? (a) Sunday (b) Thursday (c) Friday (d) Saturday
11. 11.Every pair follows the same rule: 5 : 12, 7 : 18, 9 : 24. What is 2 : ? (a) 9 (b) 4 (c) 3 (d) 2
12. 12.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 63 min (c) 3 min (d) 30 min
13. 13.If 13 March is a Thursday, what day of the week is 17 April? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
14. 14.If 8 March is a Wednesday, what day of the week is 17 March? (a) Saturday (b) Thursday (c) Friday (d) Sunday
15. 15.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 32% (b) 15% (c) 10% (d) 5%
16. 16.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 33 (b) 84 (c) 252 (d) 168
17. 17.A bag marked ₹1200 is sold at a 50% discount. What is its selling price? (a) ₹601 (b) ₹1800 (c) ₹1150 (d) ₹600
18. 18.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
19. 19.Two ribbons are 33 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 55 cm (b) 1 cm (c) 11 cm (d) 33 cm
20. 20.Today is Saturday. What day of the week will it be after 65 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
21. 21.₹56 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹21 (b) ₹7 (c) ₹35 (d) ₹28
22. 22.8/9 + 1/9 = ? (a) 8/9 (b) 1 (c) 10/9 (d) 1/2
23. 23.What is the remainder when 89 is divided by 3? (a) 2 (b) 1 (c) 0
24. 24.₹280 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹140 (b) ₹20 (c) ₹100 (d) ₹180
25. 25.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 101 (c) 63 (d) 45
26. 26.If 5x + 18 = 3x + 40, what is x? (a) 11 (b) 29 (c) 12 (d) 13
27. 27.Every pair follows the same rule: 2 : 15, 3 : 16, 9 : 22. What is 4 : ? (a) 19 (b) 16 (c) 18 (d) 17
28. 28.The simple interest on ₹5000 for 2 years is ₹300. What is the rate per year? (a) 2% (b) 3% (c) 6% (d) 4%
29. 29.If 8x + 19 = 107, what is x? (a) 10 (b) 11 (c) 12 (d) 88
30. 30.What is the smallest number you must add to 74 to make it divisible by 3? (a) 2 (b) 1
31. 31.What is the value of the digit 1 in 64.918? (a) 0.1 (b) 0.001 (c) 1 (d) 0.01
32. 32.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 5 (c) 25 (d) 49
33. 33.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 21 (b) 72 (c) 108 (d) 36
34. 34.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 42 min (c) 27 min (d) 3 min
35. 35.What is the average of all the whole numbers from 54 to 78? (a) 66 (b) 67 (c) 12 (d) 24
36. 36.If 8x − 59 = 13, what is x? (a) 72 (b) 10 (c) 8 (d) 9
37. 37.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 6 min (c) 60 min (d) 756 min
38. 38.2/9 + 1/3 = ? (a) 5/9 (b) 2/3 (c) 4/9 (d) 1/4
39. 39.Today is Friday. What day of the week will it be after 24 days? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
40. 40.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 152 cm (c) 18 cm (d) 10 cm

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