Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 683 · 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 smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 90 (c) 24 (d) 45
2. 2.If 3 notebooks cost ₹21, how much do 2 notebooks cost? (a) ₹42 (b) ₹20 (c) ₹21 (d) ₹14
3. 3.Every pair follows the same rule: 2 : 4, 4 : 16, 6 : 36. What is 5 : ? (a) 26 (b) 7 (c) 25 (d) 10
4. 4.What is 30% of 760? (a) 228 (b) 456 (c) 532 (d) 2280
5. 5.If 29 October is a Monday, what day of the week is 5 November? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
6. 6.What is 1/3 of 18? (a) 7 (b) 12 (c) 5 (d) 6
7. 7.If 15 October is a Thursday, what day of the week is 23 October? (a) Friday (b) Saturday (c) Thursday (d) Sunday
8. 8.What is the value of the digit 2 in 32.497? (a) 0.2 (b) 20 (c) 0.02 (d) 2
9. 9.₹80 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹80 (b) ₹70 (c) ₹40 (d) ₹10
10. 10.Which of these numbers is divisible by 3? (a) 2002 (b) 2000 (c) 2005 (d) 2001
11. 11.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
12. 12.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 30 cm (d) 17 cm
13. 13.What is the units digit of 3^44? (a) 9 (b) 7 (c) 3 (d) 1
14. 14.₹1000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1200 (b) ₹1040 (c) ₹1240 (d) ₹200
15. 15.Every pair follows the same rule: 4 : 24, 6 : 36, 8 : 48. What is 2 : ? (a) 12 (b) 11 (c) 13 (d) 22
16. 16.What is the smallest number you must add to 263 to make it divisible by 5? (a) 3 (b) 1 (c) 4 (d) 2
17. 17.Every pair follows the same rule: 4 : 7, 5 : 8, 7 : 10. What is 2 : ? (a) 7 (b) 5 (c) 4 (d) 6
18. 18.What is 25% of 380? (a) 950 (b) 190 (c) 95 (d) 285
19. 19.Which of these numbers is divisible by 3? (a) 1373 (b) 1367 (c) 1368 (d) 1370
20. 20.Two ribbons are 36 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 6 cm (c) 48 cm (d) 12 cm
21. 21.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 6 : ? (a) 24 (b) 216 (c) 138 (d) 12
22. 22.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
23. 23.Every pair follows the same rule: 3 : 22, 6 : 37, 7 : 42. What is 4 : ? (a) 28 (b) 26 (c) 23 (d) 27
24. 24.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 30 min (c) 3 min (d) 63 min
25. 25.If 6x + 23 = 59, what is x? (a) 5 (b) 36 (c) 7 (d) 6
26. 26.A teacher has 24 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 3 (c) 30 (d) 6
27. 27.If x/3 + 11 = 17, what is x? (a) 18 (b) 6 (c) 84 (d) 40
28. 28.Which is the smallest: 0.2, 0.094, 0.22, 0.166? (a) 0.2 (b) 0.094 (c) 0.22 (d) 0.166
29. 29.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 6 cm (d) 3 cm
30. 30.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 18 min (c) 2 min (d) 40 min
31. 31.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 16 (b) 1 (c) 2 (d) 61
32. 32.What is 1/6 of 54? (a) 45 (b) 10 (c) 18 (d) 9
33. 33.Which fraction is greater: 1/10 or 2/3? (a) 1/10 (b) They are equal (c) 2/3
34. 34.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 12 (b) 48 (c) 57 (d) 93
35. 35.If 21 March is a Saturday, what day of the week is 15 April? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
36. 36.What is the remainder when 156 is divided by 5? (a) 0 (b) 4 (c) 1 (d) 2
37. 37.What is the value of the digit 4 in 47.258? (a) 0.4 (b) 4 (c) 40 (d) 0.04
38. 38.A teacher has 21 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 28 (c) 21 (d) 7
39. 39.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 112 min (c) 56 min (d) 2 min
40. 40.A teacher has 14 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 7 (c) 14 (d) 42

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