Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 402 · 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 3/8 of 88? (a) 33 (b) 44 (c) 11 (d) 55
2. 2.What is the value of the digit 2 in 49.823? (a) 0.002 (b) 2 (c) 0.2 (d) 0.02
3. 3.If 4x + 2 = x + 20, what is x? (a) 7 (b) 6 (c) 8 (d) 5
4. 4.What is the average of 12, 20, 20, 13, 19 and 60? (a) 23 (b) 24 (c) 25 (d) 26
5. 5.If x/5 + 14 = 18, what is x? (a) 160 (b) 76 (c) 4 (d) 20
6. 6.A bag marked ₹400 is sold at a 15% discount. What is its selling price? (a) ₹385 (b) ₹60 (c) ₹460 (d) ₹340
7. 7.5.21 + 9.1 = ? (a) 14.41 (b) 14.21 (c) 14.31 (d) 6.12
8. 8.What is the smallest number you must add to 678 to make it divisible by 9? (a) 3 (b) 7 (c) 5 (d) 6
9. 9.What is the value of the digit 2 in 13.726? (a) 0.002 (b) 0.02 (c) 2 (d) 0.2
10. 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 14 sq cm (d) 36 sq cm
11. 11.Which fraction is greater: 6/7 or 9/11? (a) They are equal (b) 9/11 (c) 6/7
12. 12.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 25 cm (d) 14 cm
13. 13.If 11 March is a Thursday, what day of the week is 23 March? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
14. 14.Which fraction is greater: 2/3 or 5/7? (a) 2/3 (b) They are equal (c) 5/7
15. 15.What is the smallest number you must add to 88 to make it divisible by 3? (a) 1 (b) 2
16. 16.If 23 June is a Saturday, what day of the week is 12 July? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
17. 17.If 9x − 102 = 24, what is x? (a) 14 (b) 15 (c) 126 (d) 13
18. 18.2/6 + 2/5 = ? (a) 23/30 (b) 7/10 (c) 4/11 (d) 11/15
19. 19.What is the smallest number you must add to 724 to make it divisible by 10? (a) 6 (b) 5 (c) 7 (d) 4
20. 20.If 28 April is a Sunday, what day of the week is 12 May? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
21. 21.If 2x − 13 = 9, what is x? (a) 11 (b) 10 (c) 12 (d) 22
22. 22.Which of these numbers is divisible by 11? (a) 1223 (b) 1212 (c) 1221 (d) 1241
23. 23.Every pair follows the same rule: 6 : 32, 7 : 37, 9 : 47. What is 8 : ? (a) 34 (b) 42 (c) 41 (d) 43
24. 24.Every pair follows the same rule: 2 : 22, 4 : 24, 8 : 28. What is 6 : ? (a) 26 (b) 27 (c) 66 (d) 25
25. 25.What is the value of the digit 1 in 46.217? (a) 0.001 (b) 1 (c) 0.01 (d) 0.1
26. 26.If 8 January is a Sunday, what day of the week is 18 January? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
27. 27.If 7 pens cost ₹42, how much do 4 pens cost? (a) ₹24 (b) ₹39 (c) ₹168 (d) ₹30
28. 28.Every pair follows the same rule: 4 : 24, 5 : 30, 6 : 36. What is 7 : ? (a) 43 (b) 27 (c) 41 (d) 42
29. 29.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 15% (b) 14% (c) 10% (d) 5%
30. 30.The simple interest on ₹6500 for 3 years is ₹2145. What is the rate per year? (a) 12% (b) 10% (c) 33% (d) 11%
31. 31.What is the average of 7, 12, 13, 33, 29 and 26? (a) 24 (b) 21 (c) 19 (d) 20
32. 32.If 2 pens cost ₹36, how much do 10 pens cost? (a) ₹180 (b) ₹198 (c) ₹44 (d) ₹360
33. 33.Every pair follows the same rule: 3 : 6, 6 : 12, 9 : 18. What is 4 : ? (a) 7 (b) 10 (c) 8 (d) 9
34. 34.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 24 cm
35. 35.What is the simple interest on ₹7500 at 2% per year for 4 years? (a) ₹600 (b) ₹750 (c) ₹150 (d) ₹8100
36. 36.What is the value of the digit 7 in 87.421? (a) 70 (b) 0.07 (c) 0.7 (d) 7
37. 37.Two ribbons are 10 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 10 cm (c) 60 cm (d) 1 cm
38. 38.If 12 September is a Friday, what day of the week is 10 October? (a) Thursday (b) Saturday (c) Sunday (d) Friday
39. 39.Every pair follows the same rule: 2 : 2, 6 : 14, 9 : 23. What is 8 : ? (a) 19 (b) 20 (c) 21 (d) 8
40. 40.What is the simple interest on ₹2500 at 11% per year for 2 years? (a) ₹3050 (b) ₹275 (c) ₹550 (d) ₹825

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