Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 899 · 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.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 39 cm (c) 44 cm (d) 22 cm
2. 2.What is 15% of 180? (a) 270 (b) 153 (c) 27 (d) 54
3. 3.4.64 + 6.2 = ? (a) 10.74 (b) 10.94 (c) 5.26 (d) 10.84
4. 4.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 20 cm (d) 22 cm
5. 5.If 8 pens cost ₹80, how much do 3 pens cost? (a) ₹30 (b) ₹240 (c) ₹40 (d) ₹75
6. 6.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 16 (c) 64 (d) 10
7. 7.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 3 cm (d) 6 cm
8. 8.What is the smallest number you must add to 456 to make it divisible by 10? (a) 3 (b) 5 (c) 6 (d) 4
9. 9.What is 30% of 380? (a) 114 (b) 1140 (c) 228 (d) 266
10. 10.1/6 + 1/8 = ? (a) 1/4 (b) 1/3 (c) 1/7 (d) 7/24
11. 11.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹738 (b) ₹810 (c) ₹82 (d) ₹902
12. 12.If 6 kites cost ₹36, how much do 11 kites cost? (a) ₹396 (b) ₹72 (c) ₹41 (d) ₹66
13. 13.If 13 August is a Monday, what day of the week is 25 August? (a) Friday (b) Saturday (c) Monday (d) Sunday
14. 14.If 8 August is a Sunday, what day of the week is 23 August? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
15. 15.8.33 + 3.1 = ? (a) 8.64 (b) 11.53 (c) 11.33 (d) 11.43
16. 16.If 11 August is a Thursday, what day of the week is 27 August? (a) Saturday (b) Sunday (c) Friday (d) Monday
17. 17.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 13 sq cm (c) 26 sq cm (d) 40 sq cm
18. 18.If 3x + 29 = 50, what is x? (a) 7 (b) 21 (c) 8 (d) 6
19. 19.₹221 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹136 (b) ₹85 (c) ₹153 (d) ₹17
20. 20.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
21. 21.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 21% (b) 25% (c) 20% (d) 15%
22. 22.6 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 6 days (c) 18 days (d) 12 days
23. 23.1.99 + 4.2 = ? (a) 6.29 (b) 6.09 (c) 6.19 (d) 2.41
24. 24.Which fraction is greater: 7/10 or 1/6? (a) They are equal (b) 1/6 (c) 7/10
25. 25.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 84 min (d) 42 min
26. 26.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 32% (b) 15% (c) 10% (d) 5%
27. 27.A teacher has 28 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) 28 (c) 224 (d) 4
28. 28.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 2 days (d) 8 days
29. 29.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 15% (b) 42% (c) 20% (d) 10%
30. 30.What is the value of the digit 4 in 89.345? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004
31. 31.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 50 (b) 210 (c) 525 (d) 105
32. 32.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 57%
33. 33.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 120 (b) 5 (c) 10 (d) 30
34. 34.A teacher has 15 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 15 (c) 1 (d) 3
35. 35.Every pair follows the same rule: 2 : 14, 3 : 21, 7 : 49. What is 9 : ? (a) 21 (b) 62 (c) 64 (d) 63
36. 36.A bag marked ₹1720 is sold at a 50% discount. What is its selling price? (a) ₹861 (b) ₹1670 (c) ₹860 (d) ₹2580
37. 37.If 15 April is a Thursday, what day of the week is 10 May? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
38. 38.What is the remainder when 348 is divided by 8? (a) 3 (b) 5 (c) 4 (d) 6
39. 39.The simple interest on ₹1500 for 2 years is ₹330. What is the rate per year? (a) 12% (b) 10% (c) 11% (d) 22%
40. 40.If 4 October is a Tuesday, what day of the week is 13 October? (a) Wednesday (b) Thursday (c) Friday (d) Saturday

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