Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 465 · 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 rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 14 cm
2. 2.5.56 + 6.1 = ? (a) 11.56 (b) 6.17 (c) 11.66 (d) 11.76
3. 3.1.06 + 4.4 = ? (a) 1.5 (b) 5.36 (c) 5.46 (d) 5.56
4. 4.If 6x + 5 = 77, what is x? (a) 12 (b) 72 (c) 11 (d) 13
5. 5.If 13 March is a Tuesday, what day of the week is 25 March? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
6. 6.Two ribbons are 9 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 6 cm (c) 9 cm (d) 3 cm
7. 7.Which of these numbers is divisible by 6? (a) 5095 (b) 5100 (c) 5110 (d) 5102
8. 8.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 4 days (d) 5 days
9. 9.₹60 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹30 (b) ₹54 (c) ₹60 (d) ₹6
10. 10.If 9 March is a Tuesday, what day of the week is 17 March? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
11. 11.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 20 min (c) 4 min (d) 96 min
12. 12.What is the average of 71, 95, 68, 67, 73 and 106? (a) 80 (b) 96 (c) 79 (d) 81
13. 13.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 22 days (c) 21 days (d) 16 days
14. 14.If 4 kites cost ₹12, how much do 12 kites cost? (a) ₹39 (b) ₹36 (c) ₹144 (d) ₹20
15. 15.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 54 (b) 84 (c) 168 (d) 504
16. 16.What is the simple interest on ₹4000 at 2% per year for 3 years? (a) ₹80 (b) ₹4240 (c) ₹240 (d) ₹320
17. 17.2.81 + 9.1 = ? (a) 11.81 (b) 12.01 (c) 3.72 (d) 11.91
18. 18.What is the value of the digit 8 in 39.816? (a) 0.008 (b) 0.8 (c) 8 (d) 0.08
19. 19.What is the average of 50, 33, 53 and 52? (a) 49 (b) 48 (c) 47 (d) 46
20. 20.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
21. 21.Every pair follows the same rule: 2 : 10, 3 : 15, 8 : 40. What is 4 : ? (a) 12 (b) 20 (c) 19 (d) 21
22. 22.If 8 July is a Wednesday, what day of the week is 22 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
23. 23.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 4 : ? (a) 8 (b) 17 (c) 6 (d) 16
24. 24.If 4 October is a Monday, what day of the week is 14 October? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
25. 25.Which of these numbers is divisible by 6? (a) 2489 (b) 2490 (c) 2499 (d) 2491
26. 26.8 workers can build a wall in 15 days. How many days will 4 workers take, working at the same speed? (a) 31 days (b) 11 days (c) 19 days (d) 30 days
27. 27.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 12 (d) 2
28. 28.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
29. 29.Today is Saturday. What day of the week will it be after 28 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
30. 30.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 5 min (c) 35 min (d) 300 min
31. 31.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
32. 32.In how many years will ₹8000 earn ₹1280 simple interest at 4% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
33. 33.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 12 cm (d) 6 cm
34. 34.Two ribbons are 32 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 2 cm (c) 4 cm (d) 288 cm
35. 35.What is the smallest number you must add to 111 to make it divisible by 6? (a) 3 (b) 5 (c) 4 (d) 2
36. 36.Which fraction is greater: 1/5 or 4/9? (a) 1/5 (b) They are equal (c) 4/9
37. 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
38. 38.What is 2/3 of 18? (a) 18 (b) 6 (c) 12 (d) 13
39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 9%
40. 40.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 90 min (c) 30 min (d) 3 min

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