Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 478 · 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.If x/6 + 2 = 14, what is x? (a) 82 (b) 12 (c) 72 (d) 96
2. 2.Every pair follows the same rule: 2 : 17, 4 : 19, 7 : 22. What is 5 : ? (a) 22 (b) 19 (c) 20 (d) 21
3. 3.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 55 cm (c) 27 cm (d) 32 cm
4. 4.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) 22 cm (b) 66 cm (c) 1 cm (d) 11 cm
5. 5.If 3x + 9 = 33, what is x? (a) 24 (b) 8 (c) 14 (d) 9
6. 6.The simple interest on ₹2000 for 2 years is ₹480. What is the rate per year? (a) 24% (b) 11% (c) 13% (d) 12%
7. 7.If 8x + 17 = 3x + 67, what is x? (a) 11 (b) 9 (c) 12 (d) 10
8. 8.What is the remainder when 686 is divided by 9? (a) 3 (b) 7 (c) 1 (d) 2
9. 9.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 20% (b) 15% (c) 40% (d) 25%
10. 10.What is the average of all the whole numbers from 59 to 95? (a) 36 (b) 77 (c) 78 (d) 18
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
12. 12.What is 75% of 1000? (a) 1500 (b) 750 (c) 250 (d) 7500
13. 13.Which is the smallest: 0.011, 0.86, 0.727, 0.8? (a) 0.011 (b) 0.86 (c) 0.727 (d) 0.8
14. 14.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 117 cm (d) 10 cm
15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
16. 16.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 22 (b) 5 (c) 10 (d) 4
17. 17.₹312 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹216 (b) ₹156 (c) ₹96 (d) ₹24
18. 18.Two ribbons are 28 cm and 49 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) 28 cm (c) 7 cm (d) 21 cm
19. 19.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 504 (c) 72 (d) 12
20. 20.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 10 min (d) 12 min
21. 21.₹574 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹287 (b) ₹205 (c) ₹41 (d) ₹369
22. 22.Today is Sunday. What day of the week will it be after 65 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
23. 23.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 84 cm (d) 16 cm
24. 24.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
25. 25.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 44 (c) 35 (d) 65
26. 26.1/6 + 1/5 = ? (a) 1/3 (b) 2/11 (c) 2/5 (d) 11/30
27. 27.If 3 kites cost ₹30, how much do 6 kites cost? (a) ₹70 (b) ₹180 (c) ₹60 (d) ₹33
28. 28.Which is the smallest: 0.726, 0.8, 0.88, 0.043? (a) 0.726 (b) 0.8 (c) 0.88 (d) 0.043
29. 29.Every pair follows the same rule: 3 : 9, 6 : 36, 7 : 49. What is 9 : ? (a) 75 (b) 81 (c) 27 (d) 15
30. 30.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) 90 (d) 540
31. 31.Which of these numbers is divisible by 4? (a) 733 (b) 736 (c) 737 (d) 743
32. 32.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 32 cm (d) 28 cm
33. 33.If 8 notebooks cost ₹88, how much do 2 notebooks cost? (a) ₹176 (b) ₹82 (c) ₹33 (d) ₹22
34. 34.What is the simple interest on ₹3500 at 2% per year for 4 years? (a) ₹70 (b) ₹350 (c) ₹3780 (d) ₹280
35. 35.1/2 + 5/7 = ? (a) 9/7 (b) 2/3 (c) 8/7 (d) 17/14
36. 36.Two ribbons are 20 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 4 cm (d) 20 cm
37. 37.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 42 cm (d) 44 cm
38. 38.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 48 sq cm (d) 26 sq cm
39. 39.Every pair follows the same rule: 3 : 18, 4 : 19, 9 : 24. What is 2 : ? (a) 17 (b) 18 (c) 12 (d) 16
40. 40.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 9 cm (d) 4 cm

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