Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 922 · 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.Every pair follows the same rule: 2 : 2, 7 : 47, 9 : 79. What is 3 : ? (a) 3 (b) 8 (c) 7 (d) 6
2. 2.What is 1/2 of 16? (a) 16 (b) 7 (c) 8 (d) 9
3. 3.Which of these numbers is divisible by 4? (a) 1558 (b) 1554 (c) 1556 (d) 1562
4. 4.What is the value of the digit 1 in 74.213? (a) 0.001 (b) 0.01 (c) 0.1 (d) 1
5. 5.Every pair follows the same rule: 3 : 6, 5 : 10, 7 : 14. What is 4 : ? (a) 10 (b) 9 (c) 8 (d) 7
6. 6.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 20% (b) 48% (c) 15% (d) 25%
7. 7.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 14 days (b) 20 days (c) 5 days (d) 6 days
8. 8.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
9. 9.Two ribbons are 20 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 20 cm (c) 4 cm (d) 12 cm
10. 10.If 11 March is a Tuesday, what day of the week is 20 March? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
11. 11.If 2x + 29 = 33, what is x? (a) 3 (b) 4 (c) 31 (d) 2
12. 12.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹1771 (b) ₹1525 (c) ₹231 (d) ₹1309
13. 13.Which fraction is greater: 1/5 or 2/7? (a) 1/5 (b) They are equal (c) 2/7
14. 14.If 2 March is a Thursday, what day of the week is 11 March? (a) Monday (b) Friday (c) Saturday (d) Sunday
15. 15.What is 10% of 560? (a) 504 (b) 112 (c) 560 (d) 56
16. 16.Every pair follows the same rule: 4 : 7, 5 : 9, 7 : 13. What is 2 : ? (a) 3 (b) 5 (c) 4 (d) 2
17. 17.What is 1/2 of 6? (a) 6 (b) 3 (c) 4 (d) 2
18. 18.What is 7/9 of 45? (a) 10 (b) 40 (c) 5 (d) 35
19. 19.Which of these numbers is divisible by 4? (a) 3512 (b) 3513 (c) 3510 (d) 3517
20. 20.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 30%
21. 21.What is the units digit of 2^10? (a) 2 (b) 4 (c) 6 (d) 8
22. 22.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) 21 min (b) 36 min (c) 3 min (d) 108 min
23. 23.8.55 + 8.2 = ? (a) 16.85 (b) 16.65 (c) 9.37 (d) 16.75
24. 24.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 31%
25. 25.A bag marked ₹1920 is sold at a 40% discount. What is its selling price? (a) ₹1152 (b) ₹768 (c) ₹1880 (d) ₹2688
26. 26.6.59 + 3.5 = ? (a) 6.94 (b) 10.19 (c) 9.99 (d) 10.09
27. 27.A bag marked ₹900 is sold at a 15% discount. What is its selling price? (a) ₹885 (b) ₹1035 (c) ₹765 (d) ₹135
28. 28.What is the value of the digit 1 in 38.791? (a) 0.1 (b) 0.01 (c) 1 (d) 0.001
29. 29.₹8500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹9775 (b) ₹1275 (c) ₹10200 (d) ₹8925
30. 30.Which fraction is greater: 4/5 or 1/4? (a) They are equal (b) 1/4 (c) 4/5
31. 31.4.76 + 7.2 = ? (a) 5.48 (b) 11.86 (c) 12.06 (d) 11.96
32. 32.Every pair follows the same rule: 2 : 4, 5 : 10, 6 : 12. What is 8 : ? (a) 17 (b) 15 (c) 10 (d) 16
33. 33.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 48 min (c) 24 min (d) 14 min
34. 34.What is 1/4 of 16? (a) 12 (b) 5 (c) 4 (d) 8
35. 35.What is the units digit of 3^42? (a) 3 (b) 9 (c) 1 (d) 7
36. 36.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 42 cm (b) 12 cm (c) 3 cm (d) 6 cm
37. 37.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 1 day (d) 6 days
38. 38.Which is the greatest: 0.787, 0.053, 0.8, 0.87? (a) 0.787 (b) 0.053 (c) 0.8 (d) 0.87
39. 39.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 5 cm (d) 4 cm
40. 40.If 8 kites cost ₹128, how much do 7 kites cost? (a) ₹896 (b) ₹112 (c) ₹127 (d) ₹128

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