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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 223 · 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.If 8x − 50 = 6, what is x? (a) 6 (b) 7 (c) 8 (d) 56
  2. 2.What is the average of all the whole numbers from 5 to 39? (a) 34 (b) 23 (c) 17 (d) 22
  3. 3.1.58 + 9.2 = ? (a) 2.5 (b) 10.88 (c) 10.78 (d) 10.68
  4. 4.₹4500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹5490 (b) ₹4995 (c) ₹5985 (d) ₹990
  5. 5.If 5x + 25 = 55, what is x? (a) 30 (b) 16 (c) 7 (d) 6
  6. 6.₹6000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹1260 (b) ₹7680 (c) ₹7260 (d) ₹6420
  7. 7.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 5 min (d) 60 min
  8. 8.What is the value of the digit 2 in 92.631? (a) 2 (b) 20 (c) 0.2 (d) 0.02
  9. 9.If 7x + 13 = 4x + 46, what is x? (a) 12 (b) 11 (c) 3 (d) 13
  10. 10.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 14 days (d) 9 days
  11. 11.If 3x + 29 = 68, what is x? (a) 13 (b) 12 (c) 39 (d) 14
  12. 12.₹533 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹205 (b) ₹369 (c) ₹328 (d) ₹41
  13. 13.A teacher has 30 pencils and 48 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) 3 (d) 18
  14. 14.A bag marked ₹1380 is sold at a 15% discount. What is its selling price? (a) ₹1173 (b) ₹207 (c) ₹1365 (d) ₹1587
  15. 15.If 6x − 4 = 38, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  16. 16.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 3 min (c) 378 min (d) 39 min
  17. 17.If 7 July is a Saturday, what day of the week is 18 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  18. 18.If 9 December is a Saturday, what day of the week is 20 December? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  19. 19.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 4 min (c) 140 min (d) 560 min
  20. 20.2/5 + 3/5 = ? (a) 4/5 (b) 1/2 (c) 6/5 (d) 1
  21. 21.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 54 sq cm (c) 20 sq cm (d) 36 sq cm
  22. 22.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  23. 23.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 10% (b) 50% (c) 5% (d) 15%
  24. 24.What is the value of the digit 6 in 74.612? (a) 0.6 (b) 6 (c) 0.006 (d) 0.06
  25. 25.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 56 (c) 112 (d) 224
  26. 26.₹8000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹9680 (b) ₹9120 (c) ₹1120 (d) ₹8560
  27. 27.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 60 (b) 30 (c) 31 (d) 16
  28. 28.Two ribbons are 35 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) 28 cm (c) 1 cm (d) 35 cm
  29. 29.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 126 min (c) 3 min (d) 42 min
  30. 30.Every pair follows the same rule: 3 : 24, 4 : 32, 5 : 40. What is 2 : ? (a) 23 (b) 16 (c) 15 (d) 17
  31. 31.If 3 pens cost ₹51, how much do 10 pens cost? (a) ₹58 (b) ₹510 (c) ₹170 (d) ₹187
  32. 32.Which fraction is greater: 2/3 or 5/11? (a) 2/3 (b) 5/11 (c) They are equal
  33. 33.₹264 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹48 (b) ₹132 (c) ₹24 (d) ₹216
  34. 34.What is the remainder when 72 is divided by 5? (a) 4 (b) 3 (c) 1 (d) 2
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  36. 36.What is the remainder when 122 is divided by 11? (a) 10 (b) 1 (c) 0 (d) 2
  37. 37.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 6 : ? (a) 217 (b) 186 (c) 216 (d) 6
  38. 38.What is the value of the digit 8 in 14.832? (a) 0.8 (b) 8 (c) 0.08 (d) 0.008
  39. 39.If 4 mangoes cost ₹64, how much do 6 mangoes cost? (a) ₹66 (b) ₹96 (c) ₹384 (d) ₹112
  40. 40.Today is Thursday. What day of the week will it be after 33 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday

Answer key

  1. 7
  2. 22
  3. 10.78
  4. ₹5490
  5. 6
  6. ₹7260
  7. 60 min
  8. 2
  9. 11
  10. 14 days
  11. 13
  12. ₹328
  13. 6
  14. ₹1173
  15. 7
  16. 126 min
  17. Wednesday
  18. Wednesday
  19. 140 min
  20. 1
  21. 36 sq cm
  22. 30%
  23. 10%
  24. 0.6
  25. 56
  26. ₹9120
  27. 30
  28. 7 cm
  29. 42 min
  30. 16
  31. ₹170
  32. 2/3
  33. ₹216
  34. 2
  35. 169 sq cm
  36. 1
  37. 216
  38. 0.8
  39. ₹96
  40. Tuesday

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