Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 744 · 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 − 22 = 22, what is x? (a) 12 (b) 11 (c) 10 (d) 44
2. 2.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 6 min (c) 504 min (d) 84 min
3. 3.Every pair follows the same rule: 4 : 20, 5 : 23, 8 : 32. What is 9 : ? (a) 36 (b) 25 (c) 35 (d) 45
4. 4.What is 30% of 260? (a) 182 (b) 78 (c) 156 (d) 780
5. 5.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 2 days (d) 1 day
6. 6.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 336 min (c) 4 min (d) 40 min
7. 7.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 6 (c) 26 (d) 5
8. 8.If 4x + 26 = 58, what is x? (a) 32 (b) 9 (c) 21 (d) 8
9. 9.In how many years will ₹7000 earn ₹2800 simple interest at 8% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
10. 10.What is the average of 57, 56, 59, 63 and 115? (a) 71 (b) 72 (c) 70 (d) 69
11. 11.What is 2/5 of 40? (a) 24 (b) 8 (c) 16 (d) 17
12. 12.Which is the greatest: 0.4, 0.49, 0.098, 0.369? (a) 0.4 (b) 0.49 (c) 0.098 (d) 0.369
13. 13.6 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 14 days (c) 16 days (d) 2 days
14. 14.What is the simple interest on ₹3000 at 3% per year for 4 years? (a) ₹360 (b) ₹450 (c) ₹90 (d) ₹3360
15. 15.₹9500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹9785 (b) ₹10640 (c) ₹10355 (d) ₹855
16. 16.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 1 (d) 6
17. 17.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 1 : ? (a) 25 (b) 9 (c) 2 (d) 1
18. 18.Every pair follows the same rule: 3 : 8, 4 : 15, 5 : 24. What is 2 : ? (a) 4 (b) 3 (c) 7 (d) 2
19. 19.Every pair follows the same rule: 4 : 13, 5 : 16, 6 : 19. What is 8 : ? (a) 26 (b) 24 (c) 17 (d) 25
20. 20.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 35 (c) 95 (d) 65
21. 21.₹455 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹140 (b) ₹315 (c) ₹350 (d) ₹35
22. 22.3.47 + 7.1 = ? (a) 4.18 (b) 10.47 (c) 10.67 (d) 10.57
23. 23.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 36 sq cm (d) 13 sq cm
24. 24.If 5 pens cost ₹15, how much do 6 pens cost? (a) ₹21 (b) ₹90 (c) ₹18 (d) ₹16
25. 25.What is 75% of 440? (a) 660 (b) 3300 (c) 330 (d) 110
26. 26.Which of these numbers is divisible by 3? (a) 2033 (b) 2036 (c) 2034 (d) 2038
27. 27.Today is Wednesday. What day of the week will it be after 48 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
28. 28.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 320 min (c) 80 min (d) 4 min
29. 29.₹4000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹560 (b) ₹4280 (c) ₹4560 (d) ₹4840
30. 30.9.81 + 9.1 = ? (a) 10.72 (b) 18.81 (c) 19.01 (d) 18.91
31. 31.Which of these numbers is divisible by 3? (a) 1099 (b) 1098 (c) 1103 (d) 1097
32. 32.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) 5 cm (b) 10 cm (c) 20 cm (d) 60 cm
33. 33.Every pair follows the same rule: 4 : 36, 6 : 54, 7 : 63. What is 2 : ? (a) 34 (b) 19 (c) 17 (d) 18
34. 34.If 2 pens cost ₹46, how much do 6 pens cost? (a) ₹161 (b) ₹50 (c) ₹138 (d) ₹276
35. 35.Which fraction is greater: 2/3 or 9/11? (a) 2/3 (b) 9/11 (c) They are equal
36. 36.Which fraction is greater: 2/9 or 3/4? (a) 2/9 (b) 3/4 (c) They are equal
37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 10 sq cm (d) 21 sq cm
38. 38.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 5 : ? (a) 125 (b) 140 (c) 29 (d) 45
39. 39.The simple interest on ₹1000 for 3 years is ₹90. What is the rate per year? (a) 3% (b) 2% (c) 9% (d) 4%
40. 40.Which of these numbers is divisible by 3? (a) 385 (b) 380 (c) 381 (d) 382

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