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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 237 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of the digit 9 in 93.827? (a) 0.09 (b) 90 (c) 9 (d) 0.9
  2. 2.₹130 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹65 (b) ₹104 (c) ₹130 (d) ₹26
  3. 3.What is 1/2 of 10? (a) 5 (b) 4 (c) 6 (d) 10
  4. 4.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 57 (b) 85 (c) 50 (d) 42
  5. 5.What is the average of 47, 43, 26 and 40? (a) 52 (b) 38 (c) 40 (d) 39
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  7. 7.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 13%
  8. 8.What is the simple interest on ₹9500 at 2% per year for 2 years? (a) ₹9880 (b) ₹570 (c) ₹190 (d) ₹380
  9. 9.3/4 + 1/8 = ? (a) 3/4 (b) 1/3 (c) 7/8 (d) 1
  10. 10.If 2 May is a Friday, what day of the week is 14 May? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  11. 11.A teacher has 24 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 12 (c) 60 (d) 6
  12. 12.2/3 + 4/5 = ? (a) 3/4 (b) 7/5 (c) 22/15 (d) 23/15
  13. 13.1/3 + 1/5 = ? (a) 3/5 (b) 8/15 (c) 7/15 (d) 1/4
  14. 14.If 4x + 10 = 2x + 26, what is x? (a) 9 (b) 10 (c) 18 (d) 8
  15. 15.What is the remainder when 207 is divided by 4? (a) 3 (b) 0 (c) 1 (d) 2
  16. 16.If 2x − 2 = 2, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  17. 17.What is the average of 15, 27, 42, 35 and 31? (a) 31 (b) 29 (c) 30 (d) 32
  18. 18.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 6 : ? (a) 30 (b) 216 (c) 186 (d) 54
  19. 19.If 4x − 7 = 29, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  21. 21.If 29 March is a Thursday, what day of the week is 6 April? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  22. 22.If 8 kites cost ₹192, how much do 9 kites cost? (a) ₹193 (b) ₹216 (c) ₹240 (d) ₹1728
  23. 23.5.18 + 1.3 = ? (a) 6.58 (b) 5.31 (c) 6.48 (d) 6.38
  24. 24.If 2x − 1 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  25. 25.What is 15% of 900? (a) 1350 (b) 270 (c) 135 (d) 765
  26. 26.If 8 pens cost ₹64, how much do 7 pens cost? (a) ₹64 (b) ₹63 (c) ₹56 (d) ₹448
  27. 27.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 96 sq cm (d) 38 sq cm
  28. 28.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 25 cm (d) 30 cm
  29. 29.If 3x + 18 = 45, what is x? (a) 27 (b) 10 (c) 9 (d) 21
  30. 30.What is the remainder when 297 is divided by 6? (a) 4 (b) 2 (c) 3 (d) 5
  31. 31.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 46 (b) 96 (c) 35 (d) 34
  32. 32.What is the smallest number you must add to 386 to make it divisible by 10? (a) 5 (b) 6 (c) 3 (d) 4
  33. 33.What is 1/2 of 4? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  35. 35.The simple interest on ₹6500 for 5 years is ₹1950. What is the rate per year? (a) 30% (b) 6% (c) 5% (d) 7%
  36. 36.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 60 sq cm (c) 23 sq cm (d) 80 sq cm
  37. 37.Which is the greatest: 0.044, 0.36, 0.281, 0.3? (a) 0.044 (b) 0.36 (c) 0.281 (d) 0.3
  38. 38.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 51 (c) 78 (d) 30
  39. 39.If x/6 + 6 = 10, what is x? (a) 4 (b) 24 (c) 54 (d) 96
  40. 40.A teacher has 9 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 9 (c) 1 (d) 3

Answer key

  1. 90
  2. ₹104
  3. 5
  4. 85
  5. 39
  6. 36 sq cm
  7. 5%
  8. ₹380
  9. 7/8
  10. Wednesday
  11. 12
  12. 22/15
  13. 8/15
  14. 8
  15. 3
  16. 2
  17. 30
  18. 216
  19. 9
  20. 49 sq cm
  21. Friday
  22. ₹216
  23. 6.48
  24. 2
  25. 135
  26. ₹56
  27. 84 sq cm
  28. 30 cm
  29. 9
  30. 3
  31. 34
  32. 4
  33. 2
  34. 50%
  35. 6%
  36. 60 sq cm
  37. 0.36
  38. 78
  39. 24
  40. 3

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