Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 933 · 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.₹204 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹102 (b) ₹34 (c) ₹170 (d) ₹204
2. 2.Every pair follows the same rule: 2 : 16, 4 : 32, 8 : 64. What is 3 : ? (a) 25 (b) 17 (c) 23 (d) 24
3. 3.Which is the greatest: 0.188, 0.053, 0.24, 0.2? (a) 0.188 (b) 0.053 (c) 0.24 (d) 0.2
4. 4.If 3 kites cost ₹48, how much do 6 kites cost? (a) ₹288 (b) ₹96 (c) ₹112 (d) ₹51
5. 5.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 40 (b) 48 (c) 84 (d) 52
6. 6.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 54 days (b) 19 days (c) 55 days (d) 5 days
7. 7.If 2x + 20 = 32, what is x? (a) 26 (b) 12 (c) 6 (d) 7
8. 8.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 11 days
9. 9.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) 168 (c) 504 (d) 84
10. 10.If 6x + 13 = 2x + 33, what is x? (a) 4 (b) 5 (c) 6 (d) 7
11. 11.If 7 pens cost ₹133, how much do 9 pens cost? (a) ₹171 (b) ₹1197 (c) ₹135 (d) ₹190
12. 12.If 10 October is a Sunday, what day of the week is 21 October? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
13. 13.If 6x + 9 = 69, what is x? (a) 13 (b) 11 (c) 10 (d) 60
14. 14.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
15. 15.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 48 min (c) 192 min (d) 4 min
16. 16.1/3 + 2/7 = ? (a) 13/21 (b) 3/10 (c) 2/3 (d) 4/7
17. 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
18. 18.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 80 (b) 320 (c) 36 (d) 160
19. 19.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 140 (c) 70 (d) 71
20. 20.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
21. 21.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 1 (c) 10 (d) 6
22. 22.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
23. 23.Every pair follows the same rule: 2 : 8, 3 : 12, 7 : 28. What is 4 : ? (a) 10 (b) 16 (c) 15 (d) 17
24. 24.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 7 : ? (a) 53 (b) 13 (c) 49 (d) 21
25. 25.Every pair follows the same rule: 2 : 14, 3 : 19, 7 : 39. What is 9 : ? (a) 50 (b) 21 (c) 49 (d) 63
26. 26.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 34 (b) 7 (c) 28 (d) 55
27. 27.Every pair follows the same rule: 2 : 2, 6 : 14, 7 : 17. What is 3 : ? (a) 6 (b) 3 (c) 4 (d) 5
28. 28.Which fraction is greater: 8/11 or 1/12? (a) 1/12 (b) They are equal (c) 8/11
29. 29.Which fraction is greater: 5/7 or 1/12? (a) 5/7 (b) 1/12 (c) They are equal
30. 30.If 15 October is a Monday, what day of the week is 24 October? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
31. 31.Every pair follows the same rule: 5 : 28, 7 : 52, 9 : 84. What is 3 : ? (a) 26 (b) 11 (c) 13 (d) 12
32. 32.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 63 (d) 126
33. 33.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 144 cm (c) 50 cm (d) 25 cm
34. 34.Every pair follows the same rule: 4 : 13, 6 : 33, 9 : 78. What is 2 : ? (a) 11 (b) 3 (c) 1 (d) 2
35. 35.If x/2 + 14 = 19, what is x? (a) 24 (b) 5 (c) 66 (d) 10
36. 36.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 84 (c) 126 (d) 42
37. 37.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 60 (c) 30 (d) 16
38. 38.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 54 (c) 18 (d) 36
39. 39.What is the units digit of 3^29? (a) 7 (b) 9 (c) 3 (d) 1
40. 40.What is the simple interest on ₹7000 at 3% per year for 2 years? (a) ₹210 (b) ₹630 (c) ₹420 (d) ₹7420

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