Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 361 · 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. 1.4/5 + 2/3 = ? (a) 22/15 (b) 7/5 (c) 3/4 (d) 23/15
2. 2.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 21 days (c) 64 days (d) 63 days
3. 3.Which fraction is greater: 2/5 or 1/12? (a) 2/5 (b) 1/12 (c) They are equal
4. 4.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 112 sq cm (c) 23 sq cm (d) 46 sq cm
5. 5.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 8 cm (c) 133 cm (d) 9 cm
6. 6.If 4 January is a Sunday, what day of the week is 18 January? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
7. 7.Today is Tuesday. What day of the week will it be after 73 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
8. 8.What is the average of all the whole numbers from 31 to 59? (a) 28 (b) 45 (c) 46 (d) 14
9. 9.3/6 + 2/8 = ? (a) 17/24 (b) 19/24 (c) 3/4 (d) 5/14
10. 10.Every pair follows the same rule: 2 : 9, 3 : 14, 9 : 44. What is 6 : ? (a) 30 (b) 28 (c) 29 (d) 13
11. 11.Which of these numbers is divisible by 9? (a) 4377 (b) 4386 (c) 4383 (d) 4396
12. 12.What is the remainder when 172 is divided by 3? (a) 2 (b) 1 (c) 0
13. 13.A teacher has 14 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 7 (c) 35 (d) 1
14. 14.What is the simple interest on ₹1000 at 4% per year for 4 years? (a) ₹160 (b) ₹200 (c) ₹1160 (d) ₹40
15. 15.What is the simple interest on ₹7500 at 2% per year for 3 years? (a) ₹600 (b) ₹7950 (c) ₹150 (d) ₹450
16. 16.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 56 min (c) 2 min (d) 112 min
17. 17.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 21 (c) 60 (d) 30
18. 18.A shopkeeper buys a toy for ₹620 and sells it for ₹651. What is his profit percent? (a) 6% (b) 5% (c) 31% (d) 10%
19. 19.What is the value of the digit 1 in 57.213? (a) 0.01 (b) 1 (c) 0.001 (d) 0.1
20. 20.What is the units digit of 3^37? (a) 9 (b) 1 (c) 3 (d) 7
21. 21.Every pair follows the same rule: 3 : 9, 6 : 36, 7 : 49. What is 5 : ? (a) 11 (b) 23 (c) 15 (d) 25
22. 22.Today is Wednesday. What day of the week will it be after 52 days? (a) Saturday (b) Sunday (c) Monday (d) Friday
23. 23.Every pair follows the same rule: 3 : 8, 5 : 16, 8 : 28. What is 7 : ? (a) 12 (b) 25 (c) 23 (d) 24
24. 24.The simple interest on ₹3000 for 3 years is ₹450. What is the rate per year? (a) 6% (b) 5% (c) 4% (d) 15%
25. 25.Every pair follows the same rule: 3 : 27, 4 : 36, 5 : 45. What is 6 : ? (a) 55 (b) 54 (c) 30 (d) 53
26. 26.If 3 May is a Sunday, what day of the week is 15 May? (a) Friday (b) Sunday (c) Thursday (d) Saturday
27. 27.If x/2 + 3 = 8, what is x? (a) 5 (b) 10 (c) 22 (d) 13
28. 28.What is the remainder when 898 is divided by 12? (a) 10 (b) 9 (c) 11 (d) 2
29. 29.If 4 January is a Sunday, what day of the week is 19 January? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
30. 30.Two ribbons are 48 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 36 cm (c) 6 cm (d) 12 cm
31. 31.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
32. 32.₹2500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹2600 (b) ₹3000 (c) ₹400 (d) ₹2900
33. 33.If 3 notebooks cost ₹51, how much do 9 notebooks cost? (a) ₹170 (b) ₹459 (c) ₹57 (d) ₹153
34. 34.Today is Sunday. What day of the week will it be after 98 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
35. 35.What is 1/2 of 8? (a) 5 (b) 8 (c) 3 (d) 4
36. 36.What is the smallest number you must add to 274 to make it divisible by 4? (a) 3 (b) 1 (c) 2
37. 37.If 17 April is a Monday, what day of the week is 12 May? (a) Friday (b) Saturday (c) Thursday (d) Sunday
38. 38.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 135 min (c) 24 min (d) 45 min
39. 39.If 4x + 18 = x + 45, what is x? (a) 9 (b) 21 (c) 10 (d) 11
40. 40.If 7x + 9 = 107, what is x? (a) 14 (b) 98 (c) 15 (d) 13

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