Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 864 · 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 value of the digit 6 in 68.975? (a) 6 (b) 0.06 (c) 60 (d) 0.6
2. 2.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 3 min (c) 60 min (d) 27 min
3. 3.Every pair follows the same rule: 3 : 9, 4 : 16, 9 : 81. What is 7 : ? (a) 21 (b) 49 (c) 55 (d) 13
4. 4.A teacher has 6 pencils and 10 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) 4 (d) 6
5. 5.What is 30% of 580? (a) 406 (b) 348 (c) 174 (d) 1740
6. 6.8.12 + 6.4 = ? (a) 14.42 (b) 8.76 (c) 14.62 (d) 14.52
7. 7.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
8. 8.The simple interest on ₹1000 for 4 years is ₹280. What is the rate per year? (a) 6% (b) 8% (c) 28% (d) 7%
9. 9.If 19 May is a Monday, what day of the week is 4 June? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
10. 10.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 40 (c) 10 (d) 5
11. 11.What is the smallest number you must add to 342 to make it divisible by 7? (a) 3 (b) 2 (c) 1 (d) 6
12. 12.What is the remainder when 878 is divided by 11? (a) 8 (b) 9 (c) 10 (d) 2
13. 13.What is the average of 56, 52, 48 and 68? (a) 55 (b) 57 (c) 58 (d) 56
14. 14.What is 5/8 of 72? (a) 9 (b) 54 (c) 45 (d) 27
15. 15.A teacher has 27 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 9 (c) 27 (d) 3
16. 16.In how many years will ₹6000 earn ₹1260 simple interest at 7% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
17. 17.What is the remainder when 316 is divided by 12? (a) 3 (b) 4 (c) 8 (d) 5
18. 18.6/7 + 1/2 = ? (a) 9/7 (b) 7/9 (c) 10/7 (d) 19/14
19. 19.What is the remainder when 134 is divided by 7? (a) 0 (b) 2 (c) 1 (d) 6
20. 20.Which of these numbers is divisible by 3? (a) 625 (b) 622 (c) 621 (d) 619
21. 21.If 3 notebooks cost ₹51, how much do 4 notebooks cost? (a) ₹85 (b) ₹68 (c) ₹204 (d) ₹52
22. 22.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 28 (c) 56 (d) 18
23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹414. What is his profit percent? (a) 10% (b) 54% (c) 20% (d) 15%
24. 24.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
25. 25.What is the smallest number you must add to 114 to make it divisible by 7? (a) 6 (b) 4 (c) 5 (d) 2
26. 26.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 84% (b) 15% (c) 5% (d) 10%
27. 27.₹105 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹90 (b) ₹15 (c) ₹105 (d) ₹91
28. 28.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 14 days (d) 7 days
29. 29.Which is the greatest: 0.2, 0.073, 0.26, 0.185? (a) 0.2 (b) 0.073 (c) 0.26 (d) 0.185
30. 30.What is 5/9 of 45? (a) 25 (b) 30 (c) 5 (d) 20
31. 31.What is the value of the digit 9 in 72.954? (a) 0.09 (b) 9 (c) 0.9 (d) 0.009
32. 32.7.31 + 7.1 = ? (a) 14.51 (b) 14.41 (c) 8.02 (d) 14.31
33. 33.3.89 + 6.1 = ? (a) 10.09 (b) 9.99 (c) 9.89 (d) 4.5
34. 34.Which fraction is greater: 1/3 or 5/7? (a) 1/3 (b) 5/7 (c) They are equal
35. 35.If 11 May is a Monday, what day of the week is 22 May? (a) Friday (b) Thursday (c) Saturday (d) Sunday
36. 36.What is the simple interest on ₹9000 at 4% per year for 5 years? (a) ₹360 (b) ₹2160 (c) ₹1800 (d) ₹10800
37. 37.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 12 cm (c) 24 cm (d) 13 cm
38. 38.Two ribbons are 22 cm and 33 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 11 cm (c) 22 cm (d) 66 cm
39. 39.What is the remainder when 111 is divided by 11? (a) 0 (b) 2 (c) 10 (d) 1
40. 40.Which is the greatest: 0.039, 0.3, 0.267, 0.35? (a) 0.039 (b) 0.3 (c) 0.267 (d) 0.35

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