Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 722 · 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.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 45 (c) 35 (d) 73
2. 2.What is the average of 19, 29, 19, 17, 35 and 61? (a) 30 (b) 31 (c) 36 (d) 29
3. 3.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 6 : ? (a) 30 (b) 186 (c) 54 (d) 216
4. 4.If 5x + 13 = 4x + 22, what is x? (a) 1 (b) 35 (c) 9 (d) 10
5. 5.What is the remainder when 101 is divided by 3? (a) 0 (b) 1 (c) 2
6. 6.₹462 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹378 (b) ₹84 (c) ₹42 (d) ₹231
7. 7.Every pair follows the same rule: 2 : 1, 3 : 6, 6 : 33. What is 4 : ? (a) 14 (b) 12 (c) 15 (d) 13
8. 8.Every pair follows the same rule: 2 : 13, 3 : 16, 5 : 22. What is 6 : ? (a) 17 (b) 25 (c) 24 (d) 26
9. 9.If 2x + 8 = 16, what is x? (a) 12 (b) 8 (c) 4 (d) 5
10. 10.If 11 August is a Friday, what day of the week is 1 September? (a) Saturday (b) Thursday (c) Friday (d) Sunday
11. 11.What is 2/3 of 12? (a) 12 (b) 9 (c) 4 (d) 8
12. 12.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 71 (b) 55 (c) 57 (d) 18
13. 13.Today is Saturday. What day of the week will it be after 13 days? (a) Saturday (b) Friday (c) Sunday (d) Thursday
14. 14.Which fraction is greater: 4/7 or 3/4? (a) 4/7 (b) 3/4 (c) They are equal
15. 15.Every pair follows the same rule: 3 : 17, 7 : 37, 8 : 42. What is 9 : ? (a) 23 (b) 47 (c) 46 (d) 48
16. 16.Which is the smallest: 0.058, 0.562, 0.6, 0.66? (a) 0.058 (b) 0.562 (c) 0.6 (d) 0.66
17. 17.Today is Tuesday. What day of the week will it be after 50 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
18. 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 57 cm
19. 19.If 3 January is a Thursday, what day of the week is 14 January? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
20. 20.₹528 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹48 (b) ₹240 (c) ₹288 (d) ₹264
21. 21.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
22. 22.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 69 (c) 32 (d) 41
23. 23.Every pair follows the same rule: 2 : 7, 5 : 22, 6 : 27. What is 4 : ? (a) 18 (b) 9 (c) 17 (d) 16
24. 24.Which fraction is greater: 2/9 or 3/4? (a) 2/9 (b) They are equal (c) 3/4
25. 25.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 54 min (c) 15 min (d) 18 min
26. 26.₹1000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹1110 (b) ₹440 (c) ₹1440 (d) ₹1550
27. 27.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
28. 28.Today is Wednesday. What day of the week will it be after 74 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
29. 29.Which is the smallest: 0.492, 0.043, 0.59, 0.5? (a) 0.492 (b) 0.043 (c) 0.59 (d) 0.5
30. 30.What is the simple interest on ₹7000 at 10% per year for 3 years? (a) ₹700 (b) ₹9100 (c) ₹2800 (d) ₹2100
31. 31.A teacher has 24 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 120 (d) 6
32. 32.If 5x + 2 = x + 18, what is x? (a) 5 (b) 6 (c) 3 (d) 4
33. 33.Every pair follows the same rule: 6 : 13, 7 : 16, 8 : 19. What is 3 : ? (a) 10 (b) 3 (c) 5 (d) 4
34. 34.2.68 + 3.2 = ? (a) 5.88 (b) 5.78 (c) 5.98 (d) 3
35. 35.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
36. 36.What is the remainder when 79 is divided by 3? (a) 1 (b) 0 (c) 2
37. 37.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 5 min (c) 45 min (d) 70 min
38. 38.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 10 (c) 5 (d) 20
39. 39.What is 25% of 80? (a) 60 (b) 40 (c) 20 (d) 200
40. 40.What is 5/8 of 72? (a) 27 (b) 54 (c) 45 (d) 9

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