Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 621 · 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. 1.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 3 days (d) 14 days
2. 2.Which fraction is greater: 4/9 or 1/8? (a) They are equal (b) 4/9 (c) 1/8
3. 3.What is 40% of 440? (a) 176 (b) 264 (c) 1760 (d) 352
4. 4.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹168 (b) ₹392 (c) ₹728 (d) ₹530
5. 5.Every pair follows the same rule: 2 : 11, 3 : 12, 5 : 14. What is 9 : ? (a) 17 (b) 18 (c) 20 (d) 19
6. 6.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 108 min (b) 3 min (c) 36 min (d) 21 min
7. 7.If 10 September is a Saturday, what day of the week is 11 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
8. 8.Which fraction is greater: 1/3 or 7/11? (a) 7/11 (b) 1/3 (c) They are equal
9. 9.Every pair follows the same rule: 5 : 19, 7 : 23, 9 : 27. What is 6 : ? (a) 23 (b) 21 (c) 22 (d) 20
10. 10.If x/5 + 2 = 10, what is x? (a) 48 (b) 8 (c) 60 (d) 40
11. 11.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 15 (c) 51 (d) 54
12. 12.Every pair follows the same rule: 3 : 23, 5 : 25, 9 : 29. What is 2 : ? (a) 24 (b) 23 (c) 22 (d) 21
13. 13.Which fraction is greater: 3/11 or 11/12? (a) They are equal (b) 11/12 (c) 3/11
14. 14.Every pair follows the same rule: 4 : 14, 8 : 30, 9 : 34. What is 7 : ? (a) 27 (b) 25 (c) 17 (d) 26
15. 15.If 8x + 20 = 2x + 32, what is x? (a) 1 (b) 4 (c) 3 (d) 2
16. 16.6.12 + 3.9 = ? (a) 9.92 (b) 10.02 (c) 10.12 (d) 6.51
17. 17.Every pair follows the same rule: 2 : 10, 7 : 35, 8 : 40. What is 4 : ? (a) 12 (b) 19 (c) 20 (d) 21
18. 18.Every pair follows the same rule: 2 : 18, 3 : 27, 8 : 72. What is 4 : ? (a) 37 (b) 36 (c) 35 (d) 20
19. 19.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 6 min (c) 36 min (d) 216 min
20. 20.2/4 + 2/3 = ? (a) 4/7 (b) 5/4 (c) 13/12 (d) 7/6
21. 21.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 12 sq cm (d) 20 sq cm
22. 22.If 3x + 1 = 31, what is x? (a) 9 (b) 30 (c) 11 (d) 10
23. 23.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 10 (c) 46 (d) 40
24. 24.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 16 (d) 12
25. 25.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 720 min (c) 54 min (d) 6 min
26. 26.₹506 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹46 (b) ₹368 (c) ₹138 (d) ₹253
27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
28. 28.What is 20% of 600? (a) 480 (b) 1200 (c) 120 (d) 240
29. 29.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 4 days (d) 6 days
30. 30.If 17 August is a Thursday, what day of the week is 2 September? (a) Friday (b) Monday (c) Saturday (d) Sunday
31. 31.₹1500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹1650 (b) ₹750 (c) ₹2400 (d) ₹2250
32. 32.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 19 sq cm (c) 38 sq cm (d) 34 sq cm
33. 33.If x/5 + 15 = 19, what is x? (a) 20 (b) 170 (c) 80 (d) 4
34. 34.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 20%
35. 35.What is the value of the digit 1 in 16.285? (a) 0.01 (b) 10 (c) 1 (d) 0.1
36. 36.Every pair follows the same rule: 2 : 2, 5 : 23, 7 : 47. What is 4 : ? (a) 4 (b) 14 (c) 11 (d) 15
37. 37.What is 1/5 of 20? (a) 16 (b) 8 (c) 5 (d) 4
38. 38.₹253 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹115 (b) ₹23 (c) ₹138 (d) ₹161
39. 39.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹124 (b) ₹155 (c) ₹31 (d) ₹93
40. 40.If 8 pens cost ₹80, how much do 11 pens cost? (a) ₹110 (b) ₹120 (c) ₹83 (d) ₹880

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