Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 196 · 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.Two ribbons are 15 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 90 cm (b) 15 cm (c) 3 cm (d) 1 cm
2. 2.4/6 + 2/6 = ? (a) 1/2 (b) 1 (c) 5/6 (d) 7/6
3. 3.What is the simple interest on ₹5000 at 3% per year for 4 years? (a) ₹600 (b) ₹750 (c) ₹5600 (d) ₹150
4. 4.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 168 min (c) 26 min (d) 2 min
5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 26 sq cm (d) 13 sq cm
6. 6.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 20 (d) 8
7. 7.What is the value of the digit 7 in 57.496? (a) 7 (b) 70 (c) 0.7 (d) 0.07
8. 8.What is the simple interest on ₹9000 at 11% per year for 2 years? (a) ₹2970 (b) ₹10980 (c) ₹990 (d) ₹1980
9. 9.What is the average of 49, 29, 27 and 51? (a) 52 (b) 39 (c) 40 (d) 38
10. 10.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 48 (c) 540 (d) 90
11. 11.Two ribbons are 48 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) 48 cm (b) 432 cm (c) 6 cm (d) 3 cm
12. 12.What is the remainder when 158 is divided by 4? (a) 1 (b) 3 (c) 2 (d) 0
13. 13.If 7 notebooks cost ₹49, how much do 9 notebooks cost? (a) ₹70 (b) ₹441 (c) ₹51 (d) ₹63
14. 14.If 24 April is a Thursday, what day of the week is 1 May? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
15. 15.8.61 + 3.4 = ? (a) 12.11 (b) 8.95 (c) 11.91 (d) 12.01
16. 16.What is the value of the digit 1 in 73.921? (a) 0.001 (b) 0.1 (c) 1 (d) 0.01
17. 17.What is the remainder when 414 is divided by 11? (a) 4 (b) 6 (c) 8 (d) 7
18. 18.Two ribbons are 12 cm and 27 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) 12 cm (c) 15 cm (d) 1 cm
19. 19.What is 1/8 of 88? (a) 77 (b) 11 (c) 22 (d) 12
20. 20.The simple interest on ₹2500 for 2 years is ₹450. What is the rate per year? (a) 18% (b) 8% (c) 10% (d) 9%
21. 21.Which fraction is greater: 2/3 or 1/5? (a) 2/3 (b) 1/5 (c) They are equal
22. 22.If 2x + 3 = 23, what is x? (a) 11 (b) 13 (c) 20 (d) 10
23. 23.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
24. 24.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 72 (b) 124 (c) 60 (d) 68
25. 25.2.75 + 4.4 = ? (a) 7.25 (b) 3.19 (c) 7.05 (d) 7.15
26. 26.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 69 (c) 18 (d) 54
27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 34%
28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
29. 29.If 3x + 20 = 35, what is x? (a) 15 (b) 5 (c) 4 (d) 6
30. 30.What is the average of 51, 44, 55 and 10? (a) 39 (b) 41 (c) 40 (d) 42
31. 31.Which is the smallest: 0.21, 0.132, 0.017, 0.2? (a) 0.21 (b) 0.132 (c) 0.017 (d) 0.2
32. 32.If 5 mangoes cost ₹105, how much do 6 mangoes cost? (a) ₹630 (b) ₹126 (c) ₹106 (d) ₹147
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
34. 34.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 46 cm (c) 23 cm (d) 39 cm
35. 35.If 6x + 4 = 2x + 12, what is x? (a) 2 (b) 3 (c) 1 (d) 4
36. 36.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹170 (b) ₹34 (c) ₹153 (d) ₹17
37. 37.What is the value of the digit 7 in 17.954? (a) 70 (b) 0.07 (c) 7 (d) 0.7
38. 38.₹231 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹66 (b) ₹198 (c) ₹33 (d) ₹165
39. 39.What is 1/4 of 16? (a) 4 (b) 8 (c) 5 (d) 12
40. 40.Which of these numbers is divisible by 3? (a) 2021 (b) 2016 (c) 2015 (d) 2017

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