Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 133 · 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.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 62 (b) 8 (c) 32 (d) 9
2. 2.A teacher has 70 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 560 (b) 70 (c) 10 (d) 5
3. 3.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 69 (b) 48 (c) 45 (d) 27
4. 4.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 45 (b) 90 (c) 24 (d) 135
5. 5.Every pair follows the same rule: 7 : 47, 8 : 62, 9 : 79. What is 2 : ? (a) 2 (b) 3 (c) 42 (d) 1
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
7. 7.3.06 + 5.6 = ? (a) 3.62 (b) 8.56 (c) 8.66 (d) 8.76
8. 8.7.05 + 5.9 = ? (a) 12.95 (b) 13.05 (c) 7.64 (d) 12.85
9. 9.What is the units digit of 9^18? (a) 0 (b) 9 (c) 2 (d) 1
10. 10.Which is the greatest: 0.432, 0.54, 0.085, 0.5? (a) 0.432 (b) 0.54 (c) 0.085 (d) 0.5
11. 11.A bag marked ₹360 is sold at a 10% discount. What is its selling price? (a) ₹396 (b) ₹324 (c) ₹36 (d) ₹350
12. 12.If 18 April is a Monday, what day of the week is 6 May? (a) Thursday (b) Sunday (c) Saturday (d) Friday
13. 13.What is the average of 42, 43, 61 and 82? (a) 57 (b) 76 (c) 56 (d) 58
14. 14.What is the average of 51, 52, 45 and 92? (a) 80 (b) 60 (c) 61 (d) 59
15. 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
16. 16.Which of these numbers is divisible by 6? (a) 3491 (b) 3492 (c) 3501 (d) 3497
17. 17.What is the value of the digit 1 in 26.741? (a) 0.01 (b) 1 (c) 0.1 (d) 0.001
18. 18.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 66 (c) 1 (d) 462
19. 19.Which fraction is greater: 1/5 or 2/3? (a) 1/5 (b) They are equal (c) 2/3
20. 20.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 300 min (c) 60 min (d) 35 min
21. 21.What is the average of 40, 51, 61, 44, 39 and 89? (a) 54 (b) 53 (c) 56 (d) 55
22. 22.What is 1/2 of 16? (a) 8 (b) 7 (c) 16 (d) 9
23. 23.In how many years will ₹9500 earn ₹380 simple interest at 2% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
24. 24.What is 25% of 680? (a) 340 (b) 1700 (c) 170 (d) 510
25. 25.If 3x + 4 = 10, what is x? (a) 3 (b) 6 (c) 2 (d) 1
26. 26.What is 1/8 of 72? (a) 9 (b) 10 (c) 63 (d) 18
27. 27.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 5 min (c) 100 min (d) 500 min
28. 28.7/8 + 5/6 = ? (a) 6/7 (b) 5/3 (c) 41/24 (d) 7/4
29. 29.If 5 August is a Sunday, what day of the week is 13 August? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
30. 30.What is the units digit of 3^26? (a) 9 (b) 1 (c) 7 (d) 3
31. 31.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 32 (c) 48 (d) 60
32. 32.What is the simple interest on ₹9000 at 2% per year for 4 years? (a) ₹900 (b) ₹9720 (c) ₹720 (d) ₹180
33. 33.Every pair follows the same rule: 3 : 20, 7 : 40, 8 : 45. What is 4 : ? (a) 25 (b) 26 (c) 24 (d) 21
34. 34.What is the average of all the whole numbers from 12 to 30? (a) 21 (b) 9 (c) 22 (d) 18
35. 35.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
36. 36.If 5x − 39 = 21, what is x? (a) 13 (b) 12 (c) 60 (d) 11
37. 37.5.06 + 9.6 = ? (a) 14.56 (b) 6.02 (c) 14.66 (d) 14.76
38. 38.What is 50% of 120? (a) 120 (b) 60 (c) 61 (d) 600
39. 39.If 3x + 1 = x + 23, what is x? (a) 12 (b) 11 (c) 10 (d) 13
40. 40.If 10 July is a Sunday, what day of the week is 22 July? (a) Thursday (b) Friday (c) Saturday (d) Sunday

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad