Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 784 · 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.What is the simple interest on ₹2500 at 3% per year for 4 years? (a) ₹75 (b) ₹2800 (c) ₹375 (d) ₹300
2. 2.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 25 (d) 5
3. 3.Every pair follows the same rule: 2 : 6, 7 : 51, 9 : 83. What is 4 : ? (a) 12 (b) 18 (c) 3 (d) 8
4. 4.Today is Thursday. What day of the week will it be after 23 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
5. 5.8.86 + 4.8 = ? (a) 9.34 (b) 13.66 (c) 13.56 (d) 13.76
6. 6.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 20 (c) 2 (d) 4
7. 7.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹420. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
9. 9.What is the smallest number you must add to 397 to make it divisible by 5? (a) 2 (b) 1 (c) 4 (d) 3
10. 10.What is the smallest number you must add to 80 to make it divisible by 3? (a) 2 (b) 1
11. 11.What is the value of the digit 1 in 21.538? (a) 10 (b) 0.1 (c) 0.01 (d) 1
12. 12.If x/4 + 5 = 11, what is x? (a) 6 (b) 64 (c) 39 (d) 24
13. 13.Every pair follows the same rule: 2 : 10, 7 : 55, 9 : 87. What is 5 : ? (a) 23 (b) 13 (c) 25 (d) 31
14. 14.Which of these numbers is divisible by 11? (a) 7799 (b) 7792 (c) 7804 (d) 7811
15. 15.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 15% (b) 42% (c) 10% (d) 5%
16. 16.If 3 kites cost ₹54, how much do 9 kites cost? (a) ₹60 (b) ₹180 (c) ₹486 (d) ₹162
17. 17.1/2 + 2/9 = ? (a) 13/18 (b) 7/9 (c) 3/11 (d) 2/3
18. 18.Today is Saturday. What day of the week will it be after 48 days? (a) Sunday (b) Thursday (c) Saturday (d) Friday
19. 19.What is the units digit of 2^38? (a) 2 (b) 8 (c) 6 (d) 4
20. 20.What is the simple interest on ₹4500 at 4% per year for 2 years? (a) ₹540 (b) ₹360 (c) ₹180 (d) ₹4860
21. 21.What is the remainder when 181 is divided by 7? (a) 5 (b) 6 (c) 1 (d) 4
22. 22.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 30 min (c) 2 min (d) 60 min
23. 23.What is the smallest number you must add to 335 to make it divisible by 11? (a) 6 (b) 5 (c) 7 (d) 8
24. 24.The simple interest on ₹10000 for 4 years is ₹4800. What is the rate per year? (a) 12% (b) 11% (c) 13% (d) 48%
25. 25.In how many years will ₹2500 earn ₹825 simple interest at 11% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
26. 26.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 9 (b) 7 (c) 8 (d) 2
27. 27.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
28. 28.Which fraction is greater: 1/6 or 5/8? (a) 5/8 (b) They are equal (c) 1/6
29. 29.The simple interest on ₹9000 for 3 years is ₹2970. What is the rate per year? (a) 11% (b) 33% (c) 12% (d) 10%
30. 30.What is the average of 65, 76, 50, 77, 49 and 67? (a) 65 (b) 64 (c) 66 (d) 63
31. 31.If x/4 + 5 = 14, what is x? (a) 76 (b) 36 (c) 51 (d) 9
32. 32.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 40 (b) 60 (c) 52 (d) 84
33. 33.What is the value of the digit 2 in 27.596? (a) 0.2 (b) 2 (c) 0.02 (d) 20
34. 34.Which is the smallest: 0.21, 0.054, 0.192, 0.2? (a) 0.21 (b) 0.054 (c) 0.192 (d) 0.2
35. 35.A bag marked ₹1780 is sold at a 10% discount. What is its selling price? (a) ₹1602 (b) ₹1958 (c) ₹1770 (d) ₹178
36. 36.If 4 kites cost ₹68, how much do 2 kites cost? (a) ₹34 (b) ₹51 (c) ₹66 (d) ₹136
37. 37.If 3x − 2 = 7, what is x? (a) 3 (b) 9 (c) 4 (d) 2
38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 12 cm (d) 24 cm
39. 39.What is the simple interest on ₹4500 at 8% per year for 3 years? (a) ₹360 (b) ₹5580 (c) ₹1440 (d) ₹1080
40. 40.What is the remainder when 187 is divided by 12? (a) 5 (b) 6 (c) 8 (d) 7

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