Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 209 · 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 value of the digit 9 in 42.896? (a) 0.009 (b) 0.9 (c) 0.09 (d) 9
2. 2.What is the average of 37, 13, 35 and 11? (a) 23 (b) 32 (c) 25 (d) 24
3. 3.If 3x + 16 = 46, what is x? (a) 9 (b) 11 (c) 30 (d) 10
4. 4.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 21 days (d) 1 day
5. 5.What is 1/3 of 21? (a) 6 (b) 7 (c) 14 (d) 8
6. 6.₹2000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹2080 (b) ₹320 (c) ₹2400 (d) ₹2320
7. 7.Which fraction is greater: 7/11 or 8/9? (a) They are equal (b) 8/9 (c) 7/11
8. 8.A teacher has 25 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 15 (c) 1 (d) 5
9. 9.Every pair follows the same rule: 2 : 1, 5 : 22, 9 : 78. What is 6 : ? (a) 36 (b) 32 (c) 34 (d) 33
10. 10.A teacher has 33 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 1 (c) 33 (d) 44
11. 11.What is the remainder when 47 is divided by 3? (a) 0 (b) 1 (c) 2
12. 12.If 6 mangoes cost ₹96, how much do 10 mangoes cost? (a) ₹160 (b) ₹176 (c) ₹960 (d) ₹100
13. 13.A teacher has 12 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 12 (d) 4
14. 14.₹5000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹1000 (b) ₹6000 (c) ₹6500 (d) ₹5500
15. 15.What is the value of the digit 2 in 23.849? (a) 0.02 (b) 0.2 (c) 2 (d) 20
16. 16.If 8x − 25 = 7, what is x? (a) 32 (b) 4 (c) 5 (d) 3
17. 17.What is 30% of 800? (a) 240 (b) 480 (c) 560 (d) 2400
18. 18.If 8 August is a Monday, what day of the week is 16 August? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
19. 19.₹60 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹10 (b) ₹30 (c) ₹60 (d) ₹50
20. 20.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
21. 21.7.19 + 4.1 = ? (a) 11.39 (b) 11.29 (c) 7.6 (d) 11.19
22. 22.1/3 + 1/4 = ? (a) 1/2 (b) 7/12 (c) 2/3 (d) 2/7
23. 23.Two ribbons are 28 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 28 cm (c) 1 cm (d) 7 cm
24. 24.If x/5 + 10 = 19, what is x? (a) 9 (b) 85 (c) 45 (d) 145
25. 25.The simple interest on ₹8500 for 3 years is ₹2040. What is the rate per year? (a) 9% (b) 8% (c) 7% (d) 24%
26. 26.If 4x + 2 = 26, what is x? (a) 5 (b) 24 (c) 7 (d) 6
27. 27.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 41 cm (d) 44 cm
28. 28.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 53 (c) 21 (d) 71
29. 29.What is the simple interest on ₹7000 at 6% per year for 4 years? (a) ₹8680 (b) ₹2100 (c) ₹1680 (d) ₹420
30. 30.If 8 notebooks cost ₹136, how much do 7 notebooks cost? (a) ₹119 (b) ₹952 (c) ₹136 (d) ₹135
31. 31.If 9x + 24 = 69, what is x? (a) 45 (b) 4 (c) 5 (d) 6
32. 32.What is the simple interest on ₹6000 at 4% per year for 4 years? (a) ₹6960 (b) ₹240 (c) ₹1200 (d) ₹960
33. 33.What is the units digit of 8^31? (a) 2 (b) 8 (c) 6 (d) 4
34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
35. 35.₹6000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹600 (b) ₹6600 (c) ₹6300 (d) ₹6900
36. 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 44 sq cm (d) 40 sq cm
37. 37.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 21 cm
38. 38.If 7 October is a Monday, what day of the week is 23 October? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
39. 39.Every pair follows the same rule: 3 : 10, 4 : 17, 8 : 65. What is 9 : ? (a) 82 (b) 77 (c) 83 (d) 16
40. 40.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) 1 (b) 22 (c) 33 (d) 11

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