Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 861 · 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.If x/3 + 13 = 15, what is x? (a) 6 (b) 32 (c) 84 (d) 2
2. 2.If 4 mangoes cost ₹32, how much do 3 mangoes cost? (a) ₹31 (b) ₹32 (c) ₹24 (d) ₹96
3. 3.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 43 (c) 16 (d) 21
4. 4.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 14 cm
5. 5.If 8x + 10 = 90, what is x? (a) 11 (b) 80 (c) 9 (d) 10
6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm
7. 7.Which of these numbers is divisible by 6? (a) 2011 (b) 2007 (c) 2004 (d) 2001
8. 8.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 5% (b) 10% (c) 8% (d) 6%
9. 9.Which is the smallest: 0.088, 0.75, 0.7, 0.636? (a) 0.088 (b) 0.75 (c) 0.7 (d) 0.636
10. 10.The simple interest on ₹6000 for 2 years is ₹960. What is the rate per year? (a) 7% (b) 8% (c) 16% (d) 9%
11. 11.If 15 December is a Wednesday, what day of the week is 27 December? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
12. 12.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 3 (c) 9 (d) 54
13. 13.If 8x + 19 = x + 26, what is x? (a) 2 (b) 1 (c) 4 (d) 3
14. 14.A shopkeeper buys a toy for ₹960 and sells it for ₹816. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
15. 15.The simple interest on ₹1500 for 3 years is ₹495. What is the rate per year? (a) 10% (b) 12% (c) 33% (d) 11%
16. 16.Every pair follows the same rule: 2 : 16, 3 : 24, 9 : 72. What is 6 : ? (a) 49 (b) 20 (c) 47 (d) 48
17. 17.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 26 (c) 28 (d) 25
18. 18.If 24 January is a Saturday, what day of the week is 5 February? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
19. 19.Which is the smallest: 0.34, 0.054, 0.259, 0.3? (a) 0.34 (b) 0.054 (c) 0.259 (d) 0.3
20. 20.Which is the greatest: 0.87, 0.748, 0.093, 0.8? (a) 0.87 (b) 0.748 (c) 0.093 (d) 0.8
21. 21.What is the value of the digit 1 in 64.189? (a) 1 (b) 0.001 (c) 0.1 (d) 0.01
22. 22.What is the units digit of 9^58? (a) 9 (b) 0 (c) 1 (d) 2
23. 23.Every pair follows the same rule: 5 : 25, 6 : 36, 7 : 49. What is 2 : ? (a) 4 (b) 10 (c) 22 (d) 5
24. 24.What is 1/2 of 14? (a) 8 (b) 14 (c) 6 (d) 7
25. 25.8/9 + 7/9 = ? (a) 5/3 (b) 5/6 (c) 16/9 (d) 14/9
26. 26.9.34 + 3.5 = ? (a) 12.74 (b) 9.69 (c) 12.94 (d) 12.84
27. 27.Which is the greatest: 0.62, 0.6, 0.047, 0.514? (a) 0.62 (b) 0.6 (c) 0.047 (d) 0.514
28. 28.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
29. 29.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 10% (b) 16% (c) 15% (d) 5%
30. 30.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 10 (c) 2 (d) 1
31. 31.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) 2 (b) 12 (c) 4 (d) 20
32. 32.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 32 (c) 86 (d) 73
33. 33.The simple interest on ₹5500 for 3 years is ₹330. What is the rate per year? (a) 3% (b) 6% (c) 2% (d) 1%
34. 34.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
35. 35.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 2 (b) 9 (c) 8 (d) 7
36. 36.A shopkeeper buys a toy for ₹160 and sells it for ₹96. What is his loss percent? (a) 64% (b) 45% (c) 40% (d) 35%
37. 37.₹430 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹129 (d) ₹301
38. 38.What is the average of 53, 61, 53, 51 and 52? (a) 55 (b) 54 (c) 53 (d) 56
39. 39.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
40. 40.If 30 June is a Friday, what day of the week is 3 July? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday

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