Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 973 · 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.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 21 (b) 34 (c) 70 (d) 20
2. 2.What is the value of the digit 9 in 13.945? (a) 0.009 (b) 9 (c) 0.09 (d) 0.9
3. 3.What is 1/4 of 8? (a) 4 (b) 3 (c) 2 (d) 6
4. 4.If 5x + 26 = 96, what is x? (a) 14 (b) 15 (c) 13 (d) 70
5. 5.If 24 September is a Friday, what day of the week is 13 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
6. 6.If 3 notebooks cost ₹42, how much do 4 notebooks cost? (a) ₹70 (b) ₹43 (c) ₹168 (d) ₹56
7. 7.What is the simple interest on ₹10000 at 11% per year for 5 years? (a) ₹15500 (b) ₹5500 (c) ₹6600 (d) ₹1100
8. 8.If 5 pens cost ₹85, how much do 10 pens cost? (a) ₹170 (b) ₹850 (c) ₹90 (d) ₹187
9. 9.1/2 + 2/3 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 3/5
10. 10.₹9500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹11495 (b) ₹10165 (c) ₹1330 (d) ₹10830
11. 11.If 6 May is a Sunday, what day of the week is 19 May? (a) Monday (b) Friday (c) Sunday (d) Saturday
12. 12.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 27 (b) 54 (c) 33 (d) 30
13. 13.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
14. 14.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 5% (b) 26% (c) 10% (d) 6%
15. 15.Which of these numbers is divisible by 11? (a) 604 (b) 612 (c) 587 (d) 594
16. 16.If 3x + 2 = x + 12, what is x? (a) 4 (b) 5 (c) 6 (d) 7
17. 17.If 7 August is a Thursday, what day of the week is 17 August? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
18. 18.What is the average of 59, 63, 60, 52 and 11? (a) 48 (b) 51 (c) 50 (d) 49
19. 19.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 42 (c) 63 (d) 91
20. 20.If 2 mangoes cost ₹34, how much do 10 mangoes cost? (a) ₹170 (b) ₹340 (c) ₹42 (d) ₹187
21. 21.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 32 min (c) 4 min (d) 60 min
22. 22.What is the remainder when 166 is divided by 4? (a) 2 (b) 1 (c) 0 (d) 3
23. 23.Every pair follows the same rule: 2 : 1, 4 : 5, 5 : 7. What is 6 : ? (a) 11 (b) 9 (c) 8 (d) 10
24. 24.What is the average of 46, 60, 38, 64, 57 and 41? (a) 53 (b) 51 (c) 52 (d) 50
25. 25.1.11 + 2.4 = ? (a) 1.35 (b) 3.41 (c) 3.51 (d) 3.61
26. 26.Which is the smallest: 0.156, 0.2, 0.039, 0.29? (a) 0.156 (b) 0.2 (c) 0.039 (d) 0.29
27. 27.What is the simple interest on ₹8000 at 8% per year for 3 years? (a) ₹640 (b) ₹2560 (c) ₹1920 (d) ₹9920
28. 28.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 38 cm (d) 34 cm
29. 29.In how many years will ₹4500 earn ₹945 simple interest at 7% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
30. 30.If 13 November is a Thursday, what day of the week is 9 December? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
31. 31.5.88 + 6.4 = ? (a) 12.38 (b) 12.28 (c) 6.52 (d) 12.18
32. 32.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 36 cm (c) 5 cm (d) 6 cm
33. 33.Which fraction is greater: 2/11 or 11/12? (a) 2/11 (b) They are equal (c) 11/12
34. 34.A teacher has 14 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 14 (c) 1 (d) 2
35. 35.What is 1/7 of 14? (a) 4 (b) 12 (c) 3 (d) 2
36. 36.Which is the greatest: 0.3, 0.216, 0.38, 0.011? (a) 0.3 (b) 0.216 (c) 0.38 (d) 0.011
37. 37.2/3 + 4/8 = ? (a) 6/11 (b) 7/6 (c) 29/24 (d) 9/8
38. 38.Which is the smallest: 0.022, 0.88, 0.733, 0.8? (a) 0.022 (b) 0.88 (c) 0.733 (d) 0.8
39. 39.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 30 (c) 58 (d) 32
40. 40.Every pair follows the same rule: 2 : 2, 3 : 7, 4 : 14. What is 5 : ? (a) 5 (b) 24 (c) 23 (d) 21

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