Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 145 · 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.₹528 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹384 (b) ₹144 (c) ₹48 (d) ₹264
2. 2.What is 2/5 of 15? (a) 6 (b) 7 (c) 9 (d) 3
3. 3.What is 50% of 60? (a) 31 (b) 60 (c) 30 (d) 300
4. 4.If 12 January is a Thursday, what day of the week is 6 February? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
5. 5.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 32 cm (d) 30 cm
6. 6.1/2 + 2/4 = ? (a) 5/4 (b) 3/4 (c) 1/2 (d) 1
7. 7.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 45 sq cm (c) 17 sq cm (d) 34 sq cm
8. 8.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 26 days (d) 11 days
9. 9.The simple interest on ₹9000 for 4 years is ₹2160. What is the rate per year? (a) 6% (b) 7% (c) 24% (d) 5%
10. 10.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
11. 11.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 5 (b) 32 (c) 63 (d) 36
12. 12.A teacher has 30 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 3 (c) 12 (d) 6
13. 13.Two ribbons are 24 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 24 cm (c) 84 cm (d) 12 cm
14. 14.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 99 cm (d) 31 cm
15. 15.Which fraction is greater: 3/5 or 1/3? (a) 3/5 (b) 1/3 (c) They are equal
16. 16.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 126 min (c) 756 min (d) 60 min
17. 17.What is 30% of 540? (a) 1620 (b) 324 (c) 162 (d) 378
18. 18.In how many years will ₹9500 earn ₹2280 simple interest at 6% per year? (a) 5 years (b) 8 years (c) 4 years (d) 3 years
19. 19.If 10 January is a Monday, what day of the week is 25 January? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
20. 20.What is the remainder when 112 is divided by 5? (a) 2 (b) 4 (c) 3 (d) 1
21. 21.What is 15% of 660? (a) 561 (b) 198 (c) 990 (d) 99
22. 22.What is the value of the digit 6 in 72.816? (a) 0.06 (b) 0.6 (c) 6 (d) 0.006
23. 23.6/7 + 6/7 = ? (a) 11/7 (b) 13/7 (c) 6/7 (d) 12/7
24. 24.What is the remainder when 186 is divided by 11? (a) 9 (b) 8 (c) 1 (d) 10
25. 25.Which is the greatest: 0.545, 0.69, 0.079, 0.6? (a) 0.545 (b) 0.69 (c) 0.079 (d) 0.6
26. 26.If 2 August is a Monday, what day of the week is 11 August? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
27. 27.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 20 (b) 24 (c) 48 (d) 96
28. 28.If 6 pens cost ₹24, how much do 2 pens cost? (a) ₹12 (b) ₹48 (c) ₹20 (d) ₹8
29. 29.1/9 + 8/9 = ? (a) 10/9 (b) 8/9 (c) 1/2 (d) 1
30. 30.If 7x − 7 = 21, what is x? (a) 2 (b) 4 (c) 28 (d) 5
31. 31.If 9x + 11 = 2x + 81, what is x? (a) 12 (b) 11 (c) 9 (d) 10
32. 32.₹328 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹205 (b) ₹164 (c) ₹123 (d) ₹41
33. 33.If 7x + 18 = 6x + 24, what is x? (a) 6 (b) 8 (c) 42 (d) 7
34. 34.If 27 November is a Wednesday, what day of the week is 20 December? (a) Sunday (b) Thursday (c) Friday (d) Saturday
35. 35.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 42 cm (d) 46 cm
36. 36.What is the smallest number you must add to 373 to make it divisible by 9? (a) 5 (b) 7 (c) 6 (d) 4
37. 37.If 14 May is a Sunday, what day of the week is 29 May? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
38. 38.What is the value of the digit 9 in 69.427? (a) 90 (b) 0.9 (c) 9 (d) 0.09
39. 39.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 3 : ? (a) 3 (b) 6 (c) 5 (d) 9
40. 40.What is 1/2 of 6? (a) 2 (b) 4 (c) 3 (d) 6

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