Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 24 · 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 teacher has 12 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 12 (c) 2 (d) 1
2. 2.What is the smallest number you must add to 191 to make it divisible by 10? (a) 8 (b) 7 (c) 9 (d) 1
3. 3.Which is the greatest: 0.262, 0.35, 0.037, 0.3? (a) 0.262 (b) 0.35 (c) 0.037 (d) 0.3
4. 4.What is the value of the digit 3 in 32.964? (a) 3 (b) 0.03 (c) 30 (d) 0.3
5. 5.Every pair follows the same rule: 2 : 3, 7 : 48, 9 : 80. What is 3 : ? (a) 7 (b) 8 (c) 9 (d) 4
6. 6.Two ribbons are 28 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 1 cm (c) 28 cm (d) 35 cm
7. 7.What is the units digit of 2^54? (a) 4 (b) 8 (c) 6 (d) 2
8. 8.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 30 (c) 25 (d) 60
9. 9.What is the value of the digit 5 in 32.975? (a) 5 (b) 0.005 (c) 0.05 (d) 0.5
10. 10.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 6 : ? (a) 216 (b) 24 (c) 12 (d) 174
11. 11.Every pair follows the same rule: 3 : 6, 5 : 12, 7 : 18. What is 4 : ? (a) 9 (b) 10 (c) 8 (d) 7
12. 12.Every pair follows the same rule: 7 : 18, 8 : 19, 9 : 20. What is 4 : ? (a) 17 (b) 16 (c) 14 (d) 15
13. 13.Which is the smallest: 0.021, 0.45, 0.4, 0.372? (a) 0.021 (b) 0.45 (c) 0.4 (d) 0.372
14. 14.What is the average of 70, 73, 85, 62 and 65? (a) 72 (b) 70 (c) 71 (d) 73
15. 15.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 120 (b) 60 (c) 61 (d) 22
16. 16.What is the value of the digit 6 in 21.698? (a) 6 (b) 0.06 (c) 0.6 (d) 0.006
17. 17.Which fraction is greater: 2/7 or 1/3? (a) They are equal (b) 1/3 (c) 2/7
18. 18.₹30 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹6 (b) ₹15 (c) ₹30 (d) ₹24
19. 19.If 3x − 8 = 37, what is x? (a) 14 (b) 45 (c) 16 (d) 15
20. 20.What is the units digit of 7^54? (a) 1 (b) 9 (c) 3 (d) 7
21. 21.A teacher has 45 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 3 (c) 9 (d) 45
22. 22.Every pair follows the same rule: 2 : 11, 3 : 16, 5 : 26. What is 4 : ? (a) 13 (b) 21 (c) 20 (d) 22
23. 23.What is the value of the digit 3 in 24.953? (a) 0.003 (b) 0.3 (c) 0.03 (d) 3
24. 24.What is the simple interest on ₹9000 at 7% per year for 5 years? (a) ₹12150 (b) ₹3780 (c) ₹630 (d) ₹3150
25. 25.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 140 (c) 70 (d) 71
26. 26.If 11 July is a Monday, what day of the week is 24 July? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
27. 27.What is the average of 29, 18, 18 and 55? (a) 31 (b) 40 (c) 29 (d) 30
28. 28.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
29. 29.Which of these numbers is divisible by 4? (a) 3449 (b) 3457 (c) 3455 (d) 3452
30. 30.What is the units digit of 9^41? (a) 1 (b) 8 (c) 7 (d) 9
31. 31.Which fraction is greater: 3/4 or 9/11? (a) 9/11 (b) They are equal (c) 3/4
32. 32.2/3 + 8/9 = ? (a) 5/6 (b) 5/3 (c) 14/9 (d) 13/9
33. 33.What is 75% of 560? (a) 140 (b) 420 (c) 4200 (d) 840
34. 34.If 5 kites cost ₹55, how much do 7 kites cost? (a) ₹88 (b) ₹77 (c) ₹385 (d) ₹57
35. 35.A teacher has 70 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 560 (b) 70 (c) 10 (d) 5
36. 36.Every pair follows the same rule: 3 : 6, 5 : 8, 9 : 12. What is 8 : ? (a) 12 (b) 11 (c) 10 (d) 16
37. 37.A bag marked ₹1500 is sold at a 50% discount. What is its selling price? (a) ₹1450 (b) ₹751 (c) ₹750 (d) ₹2250
38. 38.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
39. 39.Every pair follows the same rule: 2 : 10, 3 : 13, 4 : 16. What is 6 : ? (a) 30 (b) 14 (c) 22 (d) 23
40. 40.If 20 August is a Tuesday, what day of the week is 2 September? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday

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