Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 529 · 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.Which of these numbers is divisible by 11? (a) 1329 (b) 1309 (c) 1316 (d) 1300
2. 2.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 20 min (c) 24 min (d) 4 min
3. 3.Two ribbons are 10 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 10 cm (c) 5 cm (d) 1 cm
4. 4.The simple interest on ₹3500 for 2 years is ₹840. What is the rate per year? (a) 12% (b) 11% (c) 13% (d) 24%
5. 5.A bag marked ₹500 is sold at a 30% discount. What is its selling price? (a) ₹650 (b) ₹470 (c) ₹150 (d) ₹350
6. 6.If 2 notebooks cost ₹38, how much do 3 notebooks cost? (a) ₹57 (b) ₹39 (c) ₹76 (d) ₹114
7. 7.What is the units digit of 2^37? (a) 2 (b) 6 (c) 8 (d) 4
8. 8.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 47 (c) 31 (d) 20
9. 9.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹2072 (b) ₹1440 (c) ₹888 (d) ₹592
10. 10.If 2 March is a Saturday, what day of the week is 17 March? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
11. 11.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 6 : ? (a) 216 (b) 24 (c) 174 (d) 12
12. 12.Two ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 21 cm (c) 84 cm (d) 7 cm
13. 13.If 6x + 29 = 107, what is x? (a) 14 (b) 13 (c) 78 (d) 12
14. 14.If 7x + 20 = 34, what is x? (a) 14 (b) 3 (c) 2 (d) 1
15. 15.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹54 (b) ₹19 (c) ₹36 (d) ₹27
16. 16.What is the units digit of 7^46? (a) 3 (b) 7 (c) 1 (d) 9
17. 17.Which fraction is greater: 2/3 or 1/8? (a) 2/3 (b) 1/8 (c) They are equal
18. 18.If 1 December is a Saturday, what day of the week is 9 December? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
19. 19.3/4 + 2/5 = ? (a) 11/10 (b) 23/20 (c) 5/9 (d) 6/5
20. 20.Which fraction is greater: 1/4 or 2/3? (a) 2/3 (b) 1/4 (c) They are equal
21. 21.2/4 + 1/3 = ? (a) 5/6 (b) 3/4 (c) 3/7 (d) 11/12
22. 22.Which fraction is greater: 5/12 or 9/10? (a) They are equal (b) 5/12 (c) 9/10
23. 23.What is 50% of 860? (a) 4300 (b) 860 (c) 430 (d) 431
24. 24.What is 2/3 of 30? (a) 10 (b) 30 (c) 21 (d) 20
25. 25.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 224 min (c) 56 min (d) 4 min
26. 26.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 25 (c) 20 (d) 43
27. 27.What is 4/7 of 77? (a) 55 (b) 44 (c) 11 (d) 33
28. 28.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 27 days (c) 17 days (d) 26 days
29. 29.9.07 + 7.5 = ? (a) 9.82 (b) 16.67 (c) 16.57 (d) 16.47
30. 30.If 8x + 1 = 7x + 4, what is x? (a) 5 (b) 4 (c) 3 (d) 2
31. 31.₹384 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹160 (b) ₹192 (c) ₹224 (d) ₹32
32. 32.Two ribbons are 21 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 21 cm (c) 6 cm (d) 1 cm
33. 33.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 39 (b) 8 (c) 32 (d) 63
34. 34.Which is the smallest: 0.045, 0.644, 0.7, 0.76? (a) 0.045 (b) 0.644 (c) 0.7 (d) 0.76
35. 35.6.63 + 9.1 = ? (a) 15.83 (b) 15.73 (c) 15.63 (d) 7.54
36. 36.If 16 September is a Wednesday, what day of the week is 11 October? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
37. 37.If 9 mangoes cost ₹117, how much do 8 mangoes cost? (a) ₹104 (b) ₹117 (c) ₹936 (d) ₹116
38. 38.What is the value of the digit 3 in 96.238? (a) 0.003 (b) 0.03 (c) 0.3 (d) 3
39. 39.A bag marked ₹1360 is sold at a 30% discount. What is its selling price? (a) ₹952 (b) ₹1330 (c) ₹408 (d) ₹1768
40. 40.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 2 : ? (a) 8 (b) 18 (c) 9 (d) 26

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