Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 388 · 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 4x + 18 = 66, what is x? (a) 48 (b) 12 (c) 13 (d) 21
2. 2.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) 168 min (b) 2 min (c) 84 min (d) 26 min
3. 3.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 133 cm (d) 52 cm
4. 4.The simple interest on ₹6500 for 4 years is ₹2340. What is the rate per year? (a) 36% (b) 8% (c) 10% (d) 9%
5. 5.Two ribbons are 24 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 24 cm (c) 6 cm (d) 12 cm
6. 6.₹9000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹9810 (b) ₹9270 (c) ₹10080 (d) ₹810
7. 7.In how many years will ₹5000 earn ₹1050 simple interest at 7% per year? (a) 3 years (b) 2 years (c) 4 years (d) 6 years
8. 8.Which of these numbers is divisible by 6? (a) 3309 (b) 3295 (c) 3304 (d) 3300
9. 9.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 10 days (d) 4 days
10. 10.Every pair follows the same rule: 2 : 2, 3 : 7, 8 : 32. What is 4 : ? (a) 11 (b) 12 (c) 13 (d) 4
11. 11.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 37 (b) 12 (c) 52 (d) 27
12. 12.3/4 + 3/6 = ? (a) 4/3 (b) 3/5 (c) 5/4 (d) 7/6
13. 13.What is 3/5 of 50? (a) 20 (b) 10 (c) 40 (d) 30
14. 14.If 3x + 12 = 30, what is x? (a) 18 (b) 7 (c) 6 (d) 14
15. 15.What is the value of the digit 9 in 79.346? (a) 9 (b) 0.9 (c) 0.09 (d) 90
16. 16.What is the simple interest on ₹6500 at 11% per year for 4 years? (a) ₹3575 (b) ₹2860 (c) ₹9360 (d) ₹715
17. 17.If 2 pens cost ₹14, how much do 4 pens cost? (a) ₹35 (b) ₹16 (c) ₹28 (d) ₹56
18. 18.If 9x − 25 = 101, what is x? (a) 15 (b) 126 (c) 13 (d) 14
19. 19.Two ribbons are 35 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 1 cm (c) 7 cm (d) 28 cm
20. 20.Today is Thursday. What day of the week will it be after 21 days? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
21. 21.If 7x + 4 = 88, what is x? (a) 84 (b) 13 (c) 11 (d) 12
22. 22.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 94 (c) 38 (d) 64
23. 23.If 3 March is a Thursday, what day of the week is 14 March? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
24. 24.What is 40% of 80? (a) 48 (b) 64 (c) 320 (d) 32
25. 25.Today is Tuesday. What day of the week will it be after 39 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
26. 26.₹4500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹6750 (b) ₹4950 (c) ₹7200 (d) ₹2250
27. 27.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 220 cm (c) 62 cm (d) 31 cm
28. 28.If x/5 + 8 = 12, what is x? (a) 20 (b) 4 (c) 100 (d) 52
29. 29.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 1 (c) 6 (d) 2
30. 30.What is the units digit of 4^54? (a) 6 (b) 5 (c) 7 (d) 4
31. 31.If 2x + 28 = 50, what is x? (a) 39 (b) 22 (c) 11 (d) 12
32. 32.1.71 + 6.3 = ? (a) 7.91 (b) 8.11 (c) 2.34 (d) 8.01
33. 33.₹245 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹147 (b) ₹196 (c) ₹98 (d) ₹49
34. 34.If 2x − 3 = 19, what is x? (a) 8 (b) 11 (c) 22 (d) 12
35. 35.If 2 October is a Tuesday, what day of the week is 16 October? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
36. 36.What is 5/8 of 56? (a) 35 (b) 21 (c) 42 (d) 7
37. 37.If 9 mangoes cost ₹27, how much do 7 mangoes cost? (a) ₹189 (b) ₹21 (c) ₹25 (d) ₹24
38. 38.What is 4/9 of 18? (a) 2 (b) 10 (c) 8 (d) 9
39. 39.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 126 min (c) 27 min (d) 3 min
40. 40.Which fraction is greater: 5/12 or 2/11? (a) They are equal (b) 5/12 (c) 2/11

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