Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 484 · 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 remainder when 229 is divided by 4? (a) 2 (b) 1 (c) 3 (d) 0
2. 2.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 135 cm (d) 11 cm
3. 3.In how many years will ₹1000 earn ₹440 simple interest at 11% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
4. 4.What is the value of the digit 5 in 15.739? (a) 50 (b) 5 (c) 0.5 (d) 0.05
5. 5.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 28 cm (d) 14 cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
7. 7.If 16 April is a Tuesday, what day of the week is 8 May? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
8. 8.Every pair follows the same rule: 3 : 22, 4 : 27, 8 : 47. What is 6 : ? (a) 36 (b) 38 (c) 37 (d) 25
9. 9.What is the value of the digit 9 in 92.846? (a) 9 (b) 0.9 (c) 90 (d) 0.09
10. 10.What is the average of 12, 13, 10, 37, 14 and 58? (a) 26 (b) 25 (c) 23 (d) 24
11. 11.Which is the greatest: 0.012, 0.78, 0.637, 0.7? (a) 0.012 (b) 0.78 (c) 0.637 (d) 0.7
12. 12.What is the remainder when 168 is divided by 9? (a) 6 (b) 3 (c) 5 (d) 7
13. 13.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 51 (c) 54 (d) 66
14. 14.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
15. 15.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 54 (c) 78 (d) 40
16. 16.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 2 min (c) 70 min (d) 24 min
17. 17.Every pair follows the same rule: 6 : 33, 8 : 61, 9 : 78. What is 2 : ? (a) 2 (b) 29 (c) 3 (d) 1
18. 18.If 3 mangoes cost ₹36, how much do 9 mangoes cost? (a) ₹42 (b) ₹324 (c) ₹108 (d) ₹120
19. 19.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 64 (b) 76 (c) 65 (d) 4
20. 20.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) 6 (c) 12 (d) 3
21. 21.If 8 pens cost ₹24, how much do 12 pens cost? (a) ₹288 (b) ₹36 (c) ₹28 (d) ₹39
22. 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
23. 23.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 30 (b) 21 (c) 60 (d) 90
24. 24.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 44 cm (d) 38 cm
25. 25.A teacher has 55 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 55 (c) 1 (d) 22
26. 26.What is 60% of 580? (a) 3480 (b) 232 (c) 696 (d) 348
27. 27.Which fraction is greater: 3/4 or 7/10? (a) 3/4 (b) 7/10 (c) They are equal
28. 28.What is 1/3 of 15? (a) 4 (b) 5 (c) 10 (d) 6
29. 29.₹6500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹7085 (b) ₹6695 (c) ₹390 (d) ₹6890
30. 30.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
31. 31.Every pair follows the same rule: 2 : 6, 7 : 21, 9 : 27. What is 4 : ? (a) 13 (b) 11 (c) 8 (d) 12
32. 32.Which fraction is greater: 1/5 or 3/4? (a) They are equal (b) 1/5 (c) 3/4
33. 33.What is the average of 40, 42, 42 and 84? (a) 53 (b) 54 (c) 51 (d) 52
34. 34.What is the simple interest on ₹6500 at 10% per year for 3 years? (a) ₹2600 (b) ₹1950 (c) ₹8450 (d) ₹650
35. 35.Which fraction is greater: 2/9 or 1/7? (a) They are equal (b) 2/9 (c) 1/7
36. 36.The simple interest on ₹8000 for 5 years is ₹1200. What is the rate per year? (a) 4% (b) 3% (c) 15% (d) 2%
37. 37.What is the smallest number you must add to 372 to make it divisible by 10? (a) 7 (b) 8 (c) 9 (d) 2
38. 38.Which is the greatest: 0.416, 0.5, 0.024, 0.53? (a) 0.416 (b) 0.5 (c) 0.024 (d) 0.53
39. 39.What is 10% of 460? (a) 460 (b) 46 (c) 414 (d) 92
40. 40.What is 3/5 of 30? (a) 6 (b) 12 (c) 18 (d) 24

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