Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 838 · 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 9x + 12 = x + 68, what is x? (a) 10 (b) 7 (c) 9 (d) 8
2. 2.What is the simple interest on ₹9000 at 6% per year for 2 years? (a) ₹1620 (b) ₹1080 (c) ₹540 (d) ₹10080
3. 3.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 25 (b) 30 (c) 35 (d) 50
4. 4.What is the units digit of 7^32? (a) 3 (b) 9 (c) 1 (d) 7
5. 5.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
6. 6.Which is the greatest: 0.767, 0.88, 0.085, 0.8? (a) 0.767 (b) 0.88 (c) 0.085 (d) 0.8
7. 7.What is the remainder when 167 is divided by 4? (a) 3 (b) 0 (c) 1 (d) 2
8. 8.If 16 March is a Friday, what day of the week is 3 April? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
9. 9.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 27 min (c) 60 min (d) 3 min
10. 10.₹5500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹5995 (b) ₹6490 (c) ₹990 (d) ₹6985
11. 11.If 4 kites cost ₹20, how much do 12 kites cost? (a) ₹65 (b) ₹28 (c) ₹60 (d) ₹240
12. 12.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 60 cm (c) 5 cm (d) 10 cm
13. 13.If 2 March is a Tuesday, what day of the week is 11 March? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
14. 14.If 6x − 19 = 5, what is x? (a) 3 (b) 5 (c) 4 (d) 24
15. 15.In how many years will ₹7000 earn ₹980 simple interest at 7% per year? (a) 2 years (b) 1 year (c) 4 years (d) 3 years
16. 16.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 200 (c) 45 (d) 100
17. 17.What is the units digit of 3^16? (a) 7 (b) 3 (c) 9 (d) 1
18. 18.What is 4/5 of 20? (a) 4 (b) 16 (c) 20 (d) 17
19. 19.9.61 + 5.1 = ? (a) 14.61 (b) 10.12 (c) 14.81 (d) 14.71
20. 20.What is the remainder when 307 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
21. 21.What is the smallest number you must add to 199 to make it divisible by 9? (a) 7 (b) 1 (c) 8 (d) 6
22. 22.Which of these numbers is divisible by 9? (a) 4300 (b) 4317 (c) 4307 (d) 4302
23. 23.If 1 December is a Friday, what day of the week is 14 December? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
24. 24.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 10% (b) 20% (c) 36% (d) 15%
25. 25.If 6x + 19 = 97, what is x? (a) 12 (b) 14 (c) 78 (d) 13
26. 26.What is the average of 6, 9, 34, 8, 27 and 42? (a) 20 (b) 21 (c) 23 (d) 22
27. 27.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
28. 28.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 72 sq cm (d) 63 sq cm
29. 29.A bag marked ₹1140 is sold at a 20% discount. What is its selling price? (a) ₹1120 (b) ₹228 (c) ₹1368 (d) ₹912
30. 30.What is the value of the digit 1 in 82.315? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01
31. 31.9.74 + 9.1 = ? (a) 18.94 (b) 10.65 (c) 18.74 (d) 18.84
32. 32.Every pair follows the same rule: 2 : 12, 7 : 57, 9 : 89. What is 3 : ? (a) 17 (b) 18 (c) 13 (d) 16
33. 33.The simple interest on ₹6000 for 2 years is ₹720. What is the rate per year? (a) 12% (b) 5% (c) 6% (d) 7%
34. 34.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 84 (d) 42
35. 35.What is 25% of 980? (a) 2450 (b) 245 (c) 735 (d) 490
36. 36.What is the value of the digit 6 in 49.126? (a) 6 (b) 0.6 (c) 0.06 (d) 0.006
37. 37.What is 3/4 of 20? (a) 20 (b) 5 (c) 16 (d) 15
38. 38.What is the average of all the whole numbers from 37 to 43? (a) 6 (b) 41 (c) 40 (d) 3
39. 39.If 3x + 13 = 58, what is x? (a) 16 (b) 45 (c) 14 (d) 15
40. 40.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 153 cm (d) 10 cm

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