Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 650 · 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.If 8x + 1 = 2x + 19, what is x? (a) 5 (b) 2 (c) 3 (d) 4
2. 2.Today is Friday. What day of the week will it be after 17 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
3. 3.2/3 + 3/6 = ? (a) 5/9 (b) 7/6 (c) 4/3 (d) 1
4. 4.Two ribbons are 10 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 10 cm (d) 2 cm
5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
6. 6.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 18 min (c) 54 min (d) 3 min
7. 7.2.06 + 5.2 = ? (a) 2.58 (b) 7.36 (c) 7.26 (d) 7.16
8. 8.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
9. 9.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 3 min (d) 105 min
10. 10.If 3x + 8 = 2x + 17, what is x? (a) 10 (b) 9 (c) 25 (d) 11
11. 11.A bag marked ₹620 is sold at a 25% discount. What is its selling price? (a) ₹775 (b) ₹465 (c) ₹595 (d) ₹155
12. 12.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 80 min (c) 320 min (d) 4 min
13. 13.Which of these numbers is divisible by 6? (a) 4276 (b) 4269 (c) 4262 (d) 4266
14. 14.1/8 + 4/8 = ? (a) 3/4 (b) 1/2 (c) 5/16 (d) 5/8
15. 15.Which of these numbers is divisible by 8? (a) 6102 (b) 6108 (c) 6095 (d) 6096
16. 16.What is the units digit of 9^19? (a) 8 (b) 7 (c) 1 (d) 9
17. 17.Every pair follows the same rule: 2 : 18, 6 : 54, 8 : 72. What is 9 : ? (a) 25 (b) 80 (c) 81 (d) 82
18. 18.Every pair follows the same rule: 2 : 14, 4 : 28, 9 : 63. What is 3 : ? (a) 20 (b) 15 (c) 21 (d) 22
19. 19.Which of these numbers is divisible by 9? (a) 6486 (b) 6500 (c) 6495 (d) 6489
20. 20.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 40 (c) 75 (d) 375
21. 21.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
22. 22.A bag marked ₹1880 is sold at a 10% discount. What is its selling price? (a) ₹1870 (b) ₹1692 (c) ₹188 (d) ₹2068
23. 23.If 9 kites cost ₹144, how much do 10 kites cost? (a) ₹176 (b) ₹160 (c) ₹1440 (d) ₹145
24. 24.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 4 (b) 64 (c) 65 (d) 46
25. 25.Today is Saturday. What day of the week will it be after 99 days? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
26. 26.What is the units digit of 8^54? (a) 4 (b) 6 (c) 8 (d) 2
27. 27.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
28. 28.2/6 + 1/2 = ? (a) 1 (b) 2/3 (c) 3/8 (d) 5/6
29. 29.If 15 November is a Wednesday, what day of the week is 4 December? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
30. 30.3/4 + 1/2 = ? (a) 2/3 (b) 3/2 (c) 5/4 (d) 1
31. 31.If 5 pens cost ₹125, how much do 6 pens cost? (a) ₹750 (b) ₹126 (c) ₹175 (d) ₹150
32. 32.Every pair follows the same rule: 3 : 9, 5 : 15, 7 : 21. What is 9 : ? (a) 26 (b) 27 (c) 28 (d) 15
33. 33.If 5x − 53 = 2, what is x? (a) 55 (b) 11 (c) 10 (d) 12
34. 34.1/9 + 2/6 = ? (a) 4/9 (b) 1/5 (c) 1/2 (d) 7/18
35. 35.Every pair follows the same rule: 5 : 25, 6 : 36, 7 : 49. What is 3 : ? (a) 15 (b) 9 (c) 23 (d) 10
36. 36.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 48%
37. 37.What is the remainder when 885 is divided by 12? (a) 3 (b) 9 (c) 10 (d) 8
38. 38.What is the average of 40, 50, 46, 42, 44 and 12? (a) 39 (b) 41 (c) 40 (d) 38
39. 39.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 3 : ? (a) 4 (b) 9 (c) 5 (d) 6
40. 40.The simple interest on ₹2500 for 5 years is ₹375. What is the rate per year? (a) 15% (b) 3% (c) 2% (d) 4%

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