Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 343 · 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.If x/6 + 8 = 12, what is x? (a) 4 (b) 24 (c) 64 (d) 120
2. 2.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 24 (d) 96
3. 3.What is the average of 44, 34, 43, 49 and 40? (a) 43 (b) 41 (c) 44 (d) 42
4. 4.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 55 min (c) 750 min (d) 150 min
5. 5.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 42% (b) 15% (c) 5% (d) 10%
6. 6.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 68 sq cm (d) 85 sq cm
7. 7.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 28 (c) 1 (d) 7
8. 8.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 240 (b) 8 (c) 40 (d) 4
9. 9.If 15 November is a Monday, what day of the week is 8 December? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
10. 10.₹4500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹4635 (b) ₹5175 (c) ₹675 (d) ₹5310
11. 11.Which is the greatest: 0.62, 0.591, 0.6, 0.057? (a) 0.62 (b) 0.591 (c) 0.6 (d) 0.057
12. 12.What is the units digit of 7^44? (a) 9 (b) 3 (c) 7 (d) 1
13. 13.What is the average of all the whole numbers from 27 to 51? (a) 40 (b) 24 (c) 39 (d) 12
14. 14.3/4 + 3/4 = ? (a) 5/4 (b) 7/4 (c) 3/2 (d) 3/4
15. 15.If 4x + 9 = 2x + 15, what is x? (a) 12 (b) 4 (c) 3 (d) 1
16. 16.Two ribbons are 36 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 9 cm (c) 3 cm (d) 180 cm
17. 17.What is the remainder when 844 is divided by 11? (a) 9 (b) 3 (c) 7 (d) 8
18. 18.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹901 (b) ₹1045 (c) ₹1219 (d) ₹159
19. 19.Today is Saturday. What day of the week will it be after 39 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
20. 20.What is the remainder when 74 is divided by 4? (a) 1 (b) 2 (c) 3 (d) 0
21. 21.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
22. 22.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
23. 23.A shopkeeper buys a toy for ₹560 and sells it for ₹420. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
24. 24.What is 1/9 of 63? (a) 14 (b) 7 (c) 56 (d) 8
25. 25.Every pair follows the same rule: 4 : 36, 5 : 45, 9 : 81. What is 6 : ? (a) 55 (b) 53 (c) 38 (d) 54
26. 26.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 12 min (c) 10 min (d) 24 min
27. 27.If 3 August is a Saturday, what day of the week is 16 August? (a) Sunday (b) Thursday (c) Friday (d) Saturday
28. 28.₹225 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹25 (b) ₹225 (c) ₹201 (d) ₹200
29. 29.A teacher has 6 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 6 (c) 3 (d) 15
30. 30.Which of these numbers is divisible by 6? (a) 4227 (b) 4232 (c) 4241 (d) 4230
31. 31.If 4 kites cost ₹16, how much do 7 kites cost? (a) ₹112 (b) ₹19 (c) ₹28 (d) ₹32
32. 32.What is the remainder when 321 is divided by 9? (a) 3 (b) 5 (c) 6 (d) 7
33. 33.Every pair follows the same rule: 3 : 3, 4 : 5, 8 : 13. What is 9 : ? (a) 16 (b) 14 (c) 15 (d) 9
34. 34.If 3x − 7 = 2, what is x? (a) 9 (b) 4 (c) 3 (d) 2
35. 35.₹8000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹8320 (b) ₹9920 (c) ₹1600 (d) ₹9600
36. 36.What is the value of the digit 8 in 41.938? (a) 8 (b) 0.08 (c) 0.008 (d) 0.8
37. 37.A bag marked ₹980 is sold at a 20% discount. What is its selling price? (a) ₹196 (b) ₹1176 (c) ₹960 (d) ₹784
38. 38.Which fraction is greater: 5/7 or 7/10? (a) They are equal (b) 5/7 (c) 7/10
39. 39.1/2 + 1/5 = ? (a) 7/10 (b) 3/5 (c) 2/7 (d) 4/5
40. 40.In how many years will ₹5000 earn ₹1200 simple interest at 6% per year? (a) 8 years (b) 3 years (c) 4 years (d) 5 years

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