Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 181 · 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 is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 17 sq cm (c) 34 sq cm (d) 42 sq cm
2. 2.What is the smallest number you must add to 284 to make it divisible by 6? (a) 4 (b) 3 (c) 2 (d) 5
3. 3.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 51 cm (d) 37 cm
4. 4.Every pair follows the same rule: 3 : 20, 4 : 24, 6 : 32. What is 8 : ? (a) 39 (b) 25 (c) 41 (d) 40
5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
6. 6.What is the smallest number you must add to 288 to make it divisible by 11? (a) 10 (b) 9 (c) 2 (d) 8
7. 7.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 60 min (c) 120 min (d) 22 min
8. 8.A teacher has 48 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 36 (c) 6 (d) 48
9. 9.1/8 + 4/8 = ? (a) 5/8 (b) 3/4 (c) 5/16 (d) 1/2
10. 10.What is 75% of 40? (a) 60 (b) 300 (c) 30 (d) 10
11. 11.If 8 mangoes cost ₹32, how much do 4 mangoes cost? (a) ₹20 (b) ₹128 (c) ₹16 (d) ₹28
12. 12.In how many years will ₹8000 earn ₹960 simple interest at 4% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
13. 13.If 3 July is a Sunday, what day of the week is 18 July? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
14. 14.What is the simple interest on ₹6500 at 10% per year for 2 years? (a) ₹650 (b) ₹1300 (c) ₹1950 (d) ₹7800
15. 15.What is the value of the digit 4 in 42.659? (a) 4 (b) 40 (c) 0.04 (d) 0.4
16. 16.Two ribbons are 56 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 56 cm (b) 1 cm (c) 504 cm (d) 7 cm
17. 17.What is 6/7 of 70? (a) 10 (b) 60 (c) 61 (d) 70
18. 18.Two ribbons are 12 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 15 cm (c) 12 cm (d) 1 cm
19. 19.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) 750 min (b) 150 min (c) 5 min (d) 55 min
20. 20.If 8x − 29 = 75, what is x? (a) 13 (b) 104 (c) 12 (d) 14
21. 21.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
22. 22.What is the units digit of 8^21? (a) 2 (b) 4 (c) 8 (d) 6
23. 23.Which of these numbers is divisible by 9? (a) 395 (b) 403 (c) 410 (d) 396
24. 24.Every pair follows the same rule: 3 : 4, 4 : 6, 6 : 10. What is 7 : ? (a) 11 (b) 8 (c) 13 (d) 12
25. 25.What is 10% of 820? (a) 164 (b) 820 (c) 82 (d) 738
26. 26.If 20 September is a Monday, what day of the week is 7 October? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
27. 27.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 17 days (c) 16 days (d) 1 day
28. 28.Every pair follows the same rule: 4 : 8, 6 : 14, 8 : 20. What is 9 : ? (a) 13 (b) 23 (c) 24 (d) 18
29. 29.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
30. 30.If 15 March is a Tuesday, what day of the week is 30 March? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
31. 31.What is the units digit of 2^28? (a) 2 (b) 4 (c) 6 (d) 8
32. 32.If x/2 + 7 = 16, what is x? (a) 46 (b) 9 (c) 18 (d) 25
33. 33.Which fraction is greater: 1/4 or 5/9? (a) 5/9 (b) They are equal (c) 1/4
34. 34.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) 3 cm (b) 1 cm (c) 6 cm (d) 9 cm
35. 35.Which is the smallest: 0.6, 0.046, 0.65, 0.535? (a) 0.6 (b) 0.046 (c) 0.65 (d) 0.535
36. 36.Which is the smallest: 0.44, 0.4, 0.325, 0.066? (a) 0.44 (b) 0.4 (c) 0.325 (d) 0.066
37. 37.Two ribbons are 4 cm and 6 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) 4 cm (c) 2 cm (d) 12 cm
38. 38.What is the average of 70, 75, 60, 51 and 74? (a) 66 (b) 67 (c) 68 (d) 65
39. 39.1.61 + 8.8 = ? (a) 2.49 (b) 10.41 (c) 10.51 (d) 10.31
40. 40.If 7x + 7 = 63, what is x? (a) 56 (b) 9 (c) 8 (d) 10

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