Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 54 · 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.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
2. 2.Which of these numbers is divisible by 6? (a) 5063 (b) 5064 (c) 5066 (d) 5071
3. 3.If 1 October is a Wednesday, what day of the week is 17 October? (a) Friday (b) Saturday (c) Thursday (d) Sunday
4. 4.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 48 (b) 540 (c) 180 (d) 90
5. 5.In how many years will ₹10000 earn ₹1200 simple interest at 4% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
6. 6.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
7. 7.5/7 + 1/3 = ? (a) 1 (b) 22/21 (c) 3/5 (d) 23/21
8. 8.A teacher has 48 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 48 (c) 6 (d) 432
9. 9.1/3 + 1/3 = ? (a) 1/3 (b) 4/3 (c) 2/3 (d) 1
10. 10.₹8000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹8720 (b) ₹3600 (c) ₹12320 (d) ₹11600
11. 11.If 2 notebooks cost ₹34, how much do 10 notebooks cost? (a) ₹187 (b) ₹170 (c) ₹42 (d) ₹340
12. 12.If 7x + 8 = 2x + 68, what is x? (a) 11 (b) 14 (c) 13 (d) 12
13. 13.What is the units digit of 7^46? (a) 1 (b) 9 (c) 7 (d) 3
14. 14.7.17 + 8.2 = ? (a) 15.47 (b) 7.99 (c) 15.37 (d) 15.27
15. 15.Which of these numbers is divisible by 11? (a) 8697 (b) 8689 (c) 8710 (d) 8690
16. 16.Every pair follows the same rule: 6 : 17, 7 : 19, 8 : 21. What is 9 : ? (a) 20 (b) 24 (c) 23 (d) 22
17. 17.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 168 (c) 252 (d) 33
18. 18.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹42 (b) ₹49 (c) ₹35 (d) ₹7
19. 19.If 5x + 20 = 2x + 50, what is x? (a) 10 (b) 9 (c) 12 (d) 11
20. 20.Every pair follows the same rule: 2 : 11, 7 : 26, 8 : 29. What is 3 : ? (a) 15 (b) 12 (c) 14 (d) 13
21. 21.9.75 + 5.1 = ? (a) 14.85 (b) 14.95 (c) 14.75 (d) 10.26
22. 22.Today is Monday. What day of the week will it be after 54 days? (a) Saturday (b) Sunday (c) Monday (d) Friday
23. 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 10 cm (d) 20 cm
24. 24.Every pair follows the same rule: 4 : 15, 7 : 18, 9 : 20. What is 3 : ? (a) 16 (b) 14 (c) 13 (d) 15
25. 25.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 29 (c) 30 (d) 35
26. 26.What is the value of the digit 5 in 84.532? (a) 5 (b) 0.05 (c) 0.005 (d) 0.5
27. 27.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 36 sq cm (d) 26 sq cm
28. 28.A bag marked ₹1840 is sold at a 15% discount. What is its selling price? (a) ₹1825 (b) ₹1564 (c) ₹2116 (d) ₹276
29. 29.Which fraction is greater: 2/3 or 3/5? (a) 3/5 (b) 2/3 (c) They are equal
30. 30.The simple interest on ₹3000 for 2 years is ₹360. What is the rate per year? (a) 7% (b) 12% (c) 6% (d) 5%
31. 31.What is the value of the digit 3 in 27.934? (a) 0.03 (b) 0.003 (c) 0.3 (d) 3
32. 32.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 5 days (d) 4 days
33. 33.What is 20% of 780? (a) 156 (b) 1560 (c) 312 (d) 624
34. 34.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 16 (c) 50 (d) 62
35. 35.A bag marked ₹700 is sold at a 25% discount. What is its selling price? (a) ₹175 (b) ₹675 (c) ₹525 (d) ₹875
36. 36.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 65 (b) 64 (c) 34 (d) 4
37. 37.If 7 notebooks cost ₹154, how much do 8 notebooks cost? (a) ₹155 (b) ₹198 (c) ₹1232 (d) ₹176
38. 38.Every pair follows the same rule: 4 : 9, 5 : 12, 8 : 21. What is 2 : ? (a) 4 (b) 7 (c) 2 (d) 3
39. 39.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
40. 40.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm

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