Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 536 · 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.Today is Monday. What day of the week will it be after 78 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
2. 2.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 480 (b) 240 (c) 120 (d) 44
3. 3.A shopkeeper buys a toy for ₹740 and sells it for ₹962. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
4. 4.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 378 min (c) 39 min (d) 126 min
5. 5.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 14 days (b) 20 days (c) 6 days (d) 5 days
6. 6.If x/4 + 6 = 8, what is x? (a) 2 (b) 56 (c) 8 (d) 26
7. 7.Which is the greatest: 0.732, 0.8, 0.037, 0.81? (a) 0.732 (b) 0.8 (c) 0.037 (d) 0.81
8. 8.If 9x − 19 = 71, what is x? (a) 11 (b) 90 (c) 9 (d) 10
9. 9.What is 20% of 960? (a) 384 (b) 192 (c) 768 (d) 1920
10. 10.6.81 + 5.4 = ? (a) 12.21 (b) 12.31 (c) 7.35 (d) 12.11
11. 11.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm
12. 12.9.48 + 1.5 = ? (a) 10.98 (b) 11.08 (c) 9.63 (d) 10.88
13. 13.Which is the smallest: 0.412, 0.54, 0.014, 0.5? (a) 0.412 (b) 0.54 (c) 0.014 (d) 0.5
14. 14.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 540 min (c) 6 min (d) 90 min
15. 15.What is the value of the digit 2 in 15.832? (a) 0.002 (b) 0.02 (c) 0.2 (d) 2
16. 16.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 63 (b) 35 (c) 42 (d) 64
17. 17.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 20 cm
18. 18.9.86 + 3.6 = ? (a) 13.56 (b) 13.36 (c) 13.46 (d) 10.22
19. 19.₹5500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹440 (b) ₹5940 (c) ₹6050 (d) ₹5610
20. 20.Which is the smallest: 0.5, 0.56, 0.433, 0.072? (a) 0.5 (b) 0.56 (c) 0.433 (d) 0.072
21. 21.What is 5/6 of 24? (a) 4 (b) 20 (c) 21 (d) 24
22. 22.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹1850 (b) ₹186 (c) ₹1674 (d) ₹2046
23. 23.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 30 (b) 25 (c) 150 (d) 60
24. 24.5.25 + 8.5 = ? (a) 13.85 (b) 6.1 (c) 13.75 (d) 13.65
25. 25.Every pair follows the same rule: 3 : 21, 7 : 49, 8 : 56. What is 2 : ? (a) 14 (b) 13 (c) 15 (d) 20
26. 26.What is the smallest number you must add to 198 to make it divisible by 10? (a) 8 (b) 2 (c) 1 (d) 3
27. 27.What is 25% of 60? (a) 150 (b) 30 (c) 15 (d) 45
28. 28.Which is the smallest: 0.7, 0.621, 0.085, 0.79? (a) 0.7 (b) 0.621 (c) 0.085 (d) 0.79
29. 29.Which is the smallest: 0.129, 0.2, 0.051, 0.21? (a) 0.129 (b) 0.2 (c) 0.051 (d) 0.21
30. 30.What is the value of the digit 2 in 39.281? (a) 0.002 (b) 2 (c) 0.02 (d) 0.2
31. 31.1.74 + 1.5 = ? (a) 1.89 (b) 3.34 (c) 3.14 (d) 3.24
32. 32.₹7000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹7980 (b) ₹980 (c) ₹8470 (d) ₹7490
33. 33.Which of these numbers is divisible by 6? (a) 1335 (b) 1327 (c) 1332 (d) 1342
34. 34.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 1 cm (c) 15 cm (d) 3 cm
35. 35.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 22 (c) 11 (d) 1
36. 36.If 28 November is a Saturday, what day of the week is 7 December? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
37. 37.8.23 + 8.3 = ? (a) 16.63 (b) 9.06 (c) 16.53 (d) 16.43
38. 38.What is the value of the digit 1 in 57.612? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
39. 39.What is the units digit of 9^38? (a) 1 (b) 0 (c) 2 (d) 9
40. 40.Which fraction is greater: 1/3 or 3/5? (a) They are equal (b) 3/5 (c) 1/3

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