Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 342 · 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 5x + 3 = x + 11, what is x? (a) 4 (b) 1 (c) 3 (d) 2
2. 2.If 2 notebooks cost ₹14, how much do 10 notebooks cost? (a) ₹140 (b) ₹77 (c) ₹22 (d) ₹70
3. 3.If 14 June is a Sunday, what day of the week is 6 July? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
4. 4.If 11 December is a Friday, what day of the week is 22 December? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
5. 5.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 16%
6. 6.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 2 min (c) 24 min (d) 12 min
7. 7.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 3 min (c) 108 min (d) 21 min
8. 8.What is the value of the digit 2 in 92.164? (a) 2 (b) 20 (c) 0.2 (d) 0.02
9. 9.Every pair follows the same rule: 2 : 8, 6 : 40, 8 : 68. What is 3 : ? (a) 13 (b) 14 (c) 12 (d) 9
10. 10.What is 75% of 560? (a) 420 (b) 840 (c) 4200 (d) 140
11. 11.Which is the smallest: 0.5, 0.58, 0.046, 0.423? (a) 0.5 (b) 0.58 (c) 0.046 (d) 0.423
12. 12.What is the average of 38, 26, 41 and 31? (a) 35 (b) 36 (c) 34 (d) 33
13. 13.Every pair follows the same rule: 4 : 23, 8 : 39, 9 : 43. What is 3 : ? (a) 19 (b) 18 (c) 22 (d) 20
14. 14.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 10 days (d) 4 days
15. 15.In how many years will ₹4500 earn ₹1080 simple interest at 6% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
16. 16.What is 60% of 940? (a) 5640 (b) 1128 (c) 376 (d) 564
17. 17.Every pair follows the same rule: 3 : 21, 6 : 36, 8 : 46. What is 4 : ? (a) 28 (b) 22 (c) 26 (d) 27
18. 18.3/5 + 1/4 = ? (a) 17/20 (b) 4/5 (c) 9/10 (d) 4/9
19. 19.If 6x + 7 = 4x + 31, what is x? (a) 19 (b) 12 (c) 14 (d) 13
20. 20.Every pair follows the same rule: 3 : 5, 4 : 7, 8 : 15. What is 6 : ? (a) 10 (b) 8 (c) 12 (d) 11
21. 21.What is the average of all the whole numbers from 60 to 76? (a) 68 (b) 16 (c) 8 (d) 69
22. 22.What is the average of 91, 65, 76 and 80? (a) 78 (b) 104 (c) 77 (d) 79
23. 23.1/3 + 1/3 = ? (a) 1/3 (b) 2/3 (c) 4/3 (d) 1
24. 24.The simple interest on ₹5000 for 5 years is ₹500. What is the rate per year? (a) 3% (b) 1% (c) 10% (d) 2%
25. 25.What is the units digit of 7^60? (a) 1 (b) 7 (c) 3 (d) 9
26. 26.What is 1/6 of 36? (a) 30 (b) 12 (c) 7 (d) 6
27. 27.Every pair follows the same rule: 5 : 25, 7 : 35, 8 : 40. What is 2 : ? (a) 11 (b) 22 (c) 9 (d) 10
28. 28.If 12 May is a Tuesday, what day of the week is 28 May? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
29. 29.If 11 March is a Friday, what day of the week is 26 March? (a) Saturday (b) Sunday (c) Monday (d) Friday
30. 30.1/3 + 7/8 = ? (a) 8/11 (b) 7/6 (c) 29/24 (d) 5/4
31. 31.What is the average of all the whole numbers from 47 to 79? (a) 64 (b) 32 (c) 63 (d) 16
32. 32.Every pair follows the same rule: 2 : 4, 5 : 25, 6 : 36. What is 3 : ? (a) 5 (b) 6 (c) 9 (d) 3
33. 33.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 20 (d) 4
34. 34.What is 3/4 of 8? (a) 8 (b) 6 (c) 7 (d) 2
35. 35.What is the smallest number you must add to 319 to make it divisible by 4? (a) 1 (b) 2 (c) 3
36. 36.6/8 + 1/3 = ? (a) 7/11 (b) 9/8 (c) 25/24 (d) 13/12
37. 37.What is the units digit of 2^48? (a) 2 (b) 8 (c) 4 (d) 6
38. 38.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 25 (b) 20 (c) 23 (d) 41
39. 39.Every pair follows the same rule: 3 : 13, 4 : 18, 5 : 23. What is 2 : ? (a) 7 (b) 12 (c) 8 (d) 9
40. 40.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 4 days (d) 5 days

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