Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 215 · 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 3? (a) 1234 (b) 1233 (c) 1238 (d) 1232
2. 2.If 8x − 32 = 32, what is x? (a) 7 (b) 8 (c) 9 (d) 64
3. 3.If 11 July is a Thursday, what day of the week is 1 August? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
4. 4.If 6x + 11 = 95, what is x? (a) 84 (b) 15 (c) 13 (d) 14
5. 5.What is 10% of 120? (a) 120 (b) 108 (c) 24 (d) 12
6. 6.A bag marked ₹260 is sold at a 20% discount. What is its selling price? (a) ₹52 (b) ₹240 (c) ₹312 (d) ₹208
7. 7.A bag marked ₹580 is sold at a 20% discount. What is its selling price? (a) ₹116 (b) ₹696 (c) ₹464 (d) ₹560
8. 8.A shopkeeper buys a toy for ₹820 and sells it for ₹615. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
9. 9.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
10. 10.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 20% (b) 78% (c) 10% (d) 15%
11. 11.What is the value of the digit 9 in 53.691? (a) 0.009 (b) 0.9 (c) 0.09 (d) 9
12. 12.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 8 (b) 9 (c) 18 (d) 26
13. 13.Which of these numbers is divisible by 4? (a) 2221 (b) 2216 (c) 2214 (d) 2219
14. 14.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 14 cm (d) 23 cm
15. 15.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 66 cm (c) 17 cm (d) 34 cm
16. 16.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
17. 17.Every pair follows the same rule: 3 : 17, 5 : 33, 6 : 44. What is 7 : ? (a) 55 (b) 21 (c) 57 (d) 58
18. 18.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
19. 19.What is the value of the digit 1 in 48.619? (a) 0.01 (b) 0.1 (c) 1 (d) 0.001
20. 20.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 252 (b) 126 (c) 60 (d) 756
21. 21.₹8000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹1200 (b) ₹9600 (c) ₹9200 (d) ₹8400
22. 22.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 28 (b) 78 (c) 57 (d) 64
23. 23.If 9 notebooks cost ₹189, how much do 10 notebooks cost? (a) ₹210 (b) ₹190 (c) ₹1890 (d) ₹231
24. 24.7.51 + 1.2 = ? (a) 8.61 (b) 8.81 (c) 8.71 (d) 7.63
25. 25.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 20% (c) 81% (d) 15%
26. 26.Which of these numbers is divisible by 4? (a) 2021 (b) 2020 (c) 2019 (d) 2027
27. 27.If 27 May is a Tuesday, what day of the week is 17 June? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
28. 28.What is 5% of 60? (a) 57 (b) 30 (c) 3 (d) 6
29. 29.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 350 min (c) 5 min (d) 70 min
30. 30.In how many years will ₹6000 earn ₹1440 simple interest at 12% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
31. 31.What is the value of the digit 9 in 29.183? (a) 0.9 (b) 90 (c) 9 (d) 0.09
32. 32.1/2 + 2/3 = ? (a) 4/3 (b) 1 (c) 3/5 (d) 7/6
33. 33.If 8 mangoes cost ₹192, how much do 4 mangoes cost? (a) ₹768 (b) ₹188 (c) ₹96 (d) ₹120
34. 34.What is the simple interest on ₹5500 at 4% per year for 3 years? (a) ₹880 (b) ₹220 (c) ₹660 (d) ₹6160
35. 35.Which of these numbers is divisible by 6? (a) 4605 (b) 4601 (c) 4595 (d) 4596
36. 36.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 58% (b) 5% (c) 15% (d) 10%
37. 37.Which fraction is greater: 5/6 or 7/9? (a) They are equal (b) 7/9 (c) 5/6
38. 38.What is the smallest number you must add to 228 to make it divisible by 8? (a) 3 (b) 5 (c) 4 (d) 6
39. 39.What is 1/2 of 8? (a) 4 (b) 3 (c) 8 (d) 5
40. 40.If 5 mangoes cost ₹85, how much do 7 mangoes cost? (a) ₹595 (b) ₹136 (c) ₹87 (d) ₹119

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