Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 709 · 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 rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
2. 2.What is the remainder when 410 is divided by 6? (a) 1 (b) 4 (c) 3 (d) 2
3. 3.What is the value of the digit 7 in 18.763? (a) 0.007 (b) 7 (c) 0.7 (d) 0.07
4. 4.₹33 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹22 (b) ₹33 (c) ₹11 (d) ₹23
5. 5.4/5 + 1/3 = ? (a) 16/15 (b) 17/15 (c) 5/8 (d) 6/5
6. 6.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 28 min (c) 56 min (d) 18 min
7. 7.2.42 + 4.2 = ? (a) 6.52 (b) 6.62 (c) 6.72 (d) 2.84
8. 8.₹35 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹25 (b) ₹5 (c) ₹15 (d) ₹20
9. 9.What is the smallest number you must add to 115 to make it divisible by 3? (a) 1 (b) 2
10. 10.What is the average of all the whole numbers from 7 to 47? (a) 27 (b) 28 (c) 40 (d) 20
11. 11.If 7x − 4 = 31, what is x? (a) 6 (b) 4 (c) 5 (d) 35
12. 12.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹682 (b) ₹62 (c) ₹610 (d) ₹558
13. 13.Two ribbons are 49 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 392 cm (b) 1 cm (c) 7 cm (d) 49 cm
14. 14.What is the average of all the whole numbers from 56 to 90? (a) 17 (b) 74 (c) 73 (d) 34
15. 15.Which is the greatest: 0.4, 0.348, 0.068, 0.45? (a) 0.4 (b) 0.348 (c) 0.068 (d) 0.45
16. 16.Today is Wednesday. What day of the week will it be after 20 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
17. 17.Two ribbons are 10 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 15 cm (c) 1 cm (d) 5 cm
18. 18.A teacher has 48 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 60 (c) 48 (d) 6
19. 19.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 4 cm (d) 6 cm
20. 20.₹4000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹5600 (b) ₹6000 (c) ₹1600 (d) ₹4400
21. 21.If 5 mangoes cost ₹70, how much do 10 mangoes cost? (a) ₹154 (b) ₹140 (c) ₹700 (d) ₹75
22. 22.₹7000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹8890 (b) ₹7630 (c) ₹9520 (d) ₹1890
23. 23.Every pair follows the same rule: 2 : 8, 3 : 11, 4 : 14. What is 5 : ? (a) 18 (b) 20 (c) 17 (d) 11
24. 24.2/8 + 3/4 = ? (a) 7/8 (b) 9/8 (c) 1 (d) 5/12
25. 25.A teacher has 24 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 3 (d) 120
26. 26.Every pair follows the same rule: 3 : 7, 5 : 23, 8 : 62. What is 2 : ? (a) 1 (b) 2 (c) 6 (d) 3
27. 27.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
28. 28.2/4 + 2/4 = ? (a) 1/2 (b) 3/4 (c) 1 (d) 5/4
29. 29.Which of these numbers is divisible by 3? (a) 185 (b) 188 (c) 183 (d) 181
30. 30.What is the remainder when 178 is divided by 6? (a) 3 (b) 5 (c) 4 (d) 2
31. 31.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 112 (c) 224 (d) 56
32. 32.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
33. 33.The simple interest on ₹1000 for 4 years is ₹200. What is the rate per year? (a) 4% (b) 5% (c) 20% (d) 6%
34. 34.₹351 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹39 (b) ₹156 (c) ₹234 (d) ₹195
35. 35.In how many years will ₹5000 earn ₹1500 simple interest at 10% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
36. 36.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 45 (b) 87 (c) 63 (d) 21
37. 37.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
38. 38.What is 1/7 of 70? (a) 60 (b) 11 (c) 20 (d) 10
39. 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 40 cm (c) 20 cm (d) 96 cm
40. 40.If 8x − 105 = 15, what is x? (a) 14 (b) 120 (c) 15 (d) 16

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