Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 284 · 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. 1.2/8 + 1/2 = ? (a) 5/8 (b) 3/10 (c) 3/4 (d) 7/8
2. 2.₹448 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹224 (b) ₹288 (c) ₹32 (d) ₹160
3. 3.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 52 days (d) 53 days
4. 4.What is 7/9 of 36? (a) 28 (b) 32 (c) 8 (d) 4
5. 5.What is 50% of 840? (a) 421 (b) 840 (c) 420 (d) 4200
6. 6.If x/4 + 13 = 22, what is x? (a) 36 (b) 9 (c) 140 (d) 75
7. 7.A teacher has 35 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 35 (d) 1
8. 8.What is 5% of 620? (a) 589 (b) 62 (c) 310 (d) 31
9. 9.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 2 cm (d) 3 cm
10. 10.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 4 : ? (a) 11 (b) 16 (c) 8 (d) 6
11. 11.If 28 July is a Wednesday, what day of the week is 1 August? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
12. 12.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 7 cm (c) 12 cm (d) 6 cm
13. 13.Every pair follows the same rule: 3 : 16, 4 : 21, 7 : 36. What is 5 : ? (a) 18 (b) 25 (c) 27 (d) 26
14. 14.What is the value of the digit 4 in 24.358? (a) 0.04 (b) 40 (c) 0.4 (d) 4
15. 15.Which is the smallest: 0.661, 0.73, 0.7, 0.021? (a) 0.661 (b) 0.73 (c) 0.7 (d) 0.021
16. 16.Which fraction is greater: 1/7 or 5/12? (a) They are equal (b) 1/7 (c) 5/12
17. 17.If 4x + 18 = x + 24, what is x? (a) 2 (b) 3 (c) 14 (d) 4
18. 18.The simple interest on ₹7000 for 5 years is ₹2800. What is the rate per year? (a) 9% (b) 40% (c) 8% (d) 7%
19. 19.8.43 + 3.7 = ? (a) 12.03 (b) 12.13 (c) 8.8 (d) 12.23
20. 20.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
21. 21.What is the value of the digit 5 in 37.245? (a) 0.5 (b) 0.005 (c) 0.05 (d) 5
22. 22.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 14 (b) 35 (c) 45 (d) 33
23. 23.If 3 notebooks cost ₹30, how much do 4 notebooks cost? (a) ₹50 (b) ₹120 (c) ₹31 (d) ₹40
24. 24.If 9x − 51 = 3, what is x? (a) 5 (b) 54 (c) 6 (d) 7
25. 25.8/9 + 1/4 = ? (a) 7/6 (b) 41/36 (c) 10/9 (d) 9/13
26. 26.The simple interest on ₹2000 for 2 years is ₹160. What is the rate per year? (a) 5% (b) 4% (c) 3% (d) 8%
27. 27.What is the value of the digit 1 in 56.917? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01
28. 28.What is the average of 44, 29, 39, 28, 41 and 5? (a) 33 (b) 30 (c) 32 (d) 31
29. 29.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 180 (c) 60 (d) 120
30. 30.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 26 (c) 28 (d) 25
31. 31.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 43 (b) 36 (c) 99 (d) 70
32. 32.Which of these numbers is divisible by 9? (a) 1580 (b) 1566 (c) 1571 (d) 1558
33. 33.What is the value of the digit 2 in 39.125? (a) 0.002 (b) 2 (c) 0.02 (d) 0.2
34. 34.A teacher has 10 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 8 (d) 10
35. 35.Two ribbons are 8 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 24 cm (d) 2 cm
36. 36.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) 36 min (b) 3 min (c) 108 min (d) 21 min
37. 37.What is the simple interest on ₹9500 at 12% per year for 3 years? (a) ₹1140 (b) ₹4560 (c) ₹3420 (d) ₹12920
38. 38.Two ribbons are 45 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 45 cm (c) 36 cm (d) 9 cm
39. 39.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 5% (b) 10% (c) 38% (d) 6%
40. 40.Every pair follows the same rule: 3 : 6, 4 : 7, 9 : 12. What is 2 : ? (a) 4 (b) 7 (c) 6 (d) 5

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