Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 469 · 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.What is the average of all the whole numbers from 14 to 32? (a) 9 (b) 18 (c) 24 (d) 23
2. 2.In how many years will ₹3500 earn ₹1260 simple interest at 12% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
3. 3.What is the average of all the whole numbers from 17 to 41? (a) 29 (b) 30 (c) 12 (d) 24
4. 4.Which of these numbers is divisible by 3? (a) 658 (b) 660 (c) 665 (d) 662
5. 5.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 5 min (c) 70 min (d) 45 min
6. 6.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 26 days (d) 11 days
7. 7.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 41 (c) 22 (d) 32
8. 8.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 26 cm
9. 9.If 6x + 18 = 5x + 29, what is x? (a) 12 (b) 47 (c) 11 (d) 1
10. 10.If 8x − 59 = 21, what is x? (a) 11 (b) 80 (c) 9 (d) 10
11. 11.What is the average of all the whole numbers from 44 to 70? (a) 57 (b) 13 (c) 26 (d) 58
12. 12.6 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 5 days (d) 2 days
13. 13.In how many years will ₹8000 earn ₹1200 simple interest at 5% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
14. 14.Two ribbons are 24 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 6 cm (c) 36 cm (d) 12 cm
15. 15.Every pair follows the same rule: 2 : 4, 3 : 6, 5 : 10. What is 4 : ? (a) 9 (b) 6 (c) 8 (d) 7
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
17. 17.What is the smallest number you must add to 122 to make it divisible by 3? (a) 2 (b) 1
18. 18.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) 60 min (c) 6 min (d) 756 min
19. 19.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
20. 20.If 2x + 7 = 35, what is x? (a) 28 (b) 21 (c) 15 (d) 14
21. 21.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
22. 22.If 4 October is a Wednesday, what day of the week is 20 October? (a) Thursday (b) Sunday (c) Saturday (d) Friday
23. 23.If 13 April is a Wednesday, what day of the week is 15 May? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
24. 24.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
25. 25.What is the average of 51, 53, 49 and 87? (a) 80 (b) 59 (c) 60 (d) 61
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
27. 27.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
28. 28.A teacher has 63 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 63 (c) 3 (d) 9
29. 29.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
30. 30.If 12 August is a Friday, what day of the week is 5 September? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
31. 31.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 28 (b) 3 (c) 36 (d) 27
32. 32.If 7x + 13 = 76, what is x? (a) 8 (b) 63 (c) 9 (d) 10
33. 33.What is the average of all the whole numbers from 17 to 35? (a) 18 (b) 27 (c) 26 (d) 9
34. 34.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 560 min (c) 140 min (d) 4 min
35. 35.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 33 cm (d) 28 cm
36. 36.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 36 cm (c) 90 cm (d) 21 cm
37. 37.₹252 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹126 (b) ₹42 (c) ₹252 (d) ₹210
38. 38.What is the average of 12, 20, 33, 15, 25 and 39? (a) 23 (b) 26 (c) 24 (d) 25
39. 39.What is the average of 36, 39, 18, 24, 18 and 39? (a) 30 (b) 29 (c) 31 (d) 28
40. 40.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 5 days (d) 45 days

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