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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 794 · 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.Every pair follows the same rule: 6 : 48, 7 : 56, 8 : 64. What is 4 : ? (a) 46 (b) 33 (c) 32 (d) 31
  2. 2.Which is the smallest: 0.445, 0.015, 0.58, 0.5? (a) 0.445 (b) 0.015 (c) 0.58 (d) 0.5
  3. 3.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 60 cm (c) 8 cm (d) 5 cm
  4. 4.If 8 pens cost ₹72, how much do 4 pens cost? (a) ₹288 (b) ₹68 (c) ₹36 (d) ₹45
  5. 5.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  6. 6.8.21 + 8.2 = ? (a) 16.51 (b) 9.03 (c) 16.31 (d) 16.41
  7. 7.If 9x + 8 = 53, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  8. 8.If 3x + 19 = 31, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  9. 9.If 7x + 21 = 42, what is x? (a) 4 (b) 3 (c) 21 (d) 9
  10. 10.What is the units digit of 7^55? (a) 1 (b) 9 (c) 7 (d) 3
  11. 11.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
  12. 12.Which fraction is greater: 6/11 or 4/9? (a) 4/9 (b) They are equal (c) 6/11
  13. 13.2/4 + 1/3 = ? (a) 5/6 (b) 3/4 (c) 11/12 (d) 3/7
  14. 14.What is the simple interest on ₹9500 at 5% per year for 4 years? (a) ₹11400 (b) ₹2375 (c) ₹1900 (d) ₹475
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  16. 16.The simple interest on ₹9000 for 5 years is ₹2250. What is the rate per year? (a) 25% (b) 4% (c) 5% (d) 6%
  17. 17.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹2001 (b) ₹261 (c) ₹1479 (d) ₹1725
  18. 18.What is the average of 48, 61, 70 and 41? (a) 55 (b) 56 (c) 57 (d) 54
  19. 19.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 6% (b) 5% (c) 29% (d) 10%
  20. 20.What is the smallest number you must add to 142 to make it divisible by 3? (a) 1 (b) 2
  21. 21.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  22. 22.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 50 sq cm (d) 100 sq cm
  23. 23.If 4x + 7 = 19, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  24. 24.If 9x + 23 = 95, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  25. 25.The simple interest on ₹2000 for 3 years is ₹480. What is the rate per year? (a) 9% (b) 7% (c) 24% (d) 8%
  26. 26.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 34 cm (c) 6 cm (d) 4 cm
  27. 27.₹3500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹4340 (b) ₹4200 (c) ₹700 (d) ₹3640
  28. 28.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 6 : ? (a) 6 (b) 186 (c) 217 (d) 216
  29. 29.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  30. 30.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 2 min (c) 60 min (d) 22 min
  31. 31.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  32. 32.In how many years will ₹3500 earn ₹1540 simple interest at 11% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
  33. 33.If 3x + 18 = 45, what is x? (a) 21 (b) 9 (c) 10 (d) 27
  34. 34.What is the remainder when 206 is divided by 8? (a) 5 (b) 7 (c) 2 (d) 6
  35. 35.Two ribbons are 40 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 4 cm (c) 8 cm (d) 40 cm
  36. 36.Every pair follows the same rule: 2 : 1, 3 : 3, 5 : 7. What is 6 : ? (a) 11 (b) 10 (c) 8 (d) 9
  37. 37.Two ribbons are 44 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 44 cm (c) 11 cm (d) 33 cm
  38. 38.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 36 cm
  39. 39.What is the smallest number you must add to 110 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  40. 40.If 7 notebooks cost ₹133, how much do 6 notebooks cost? (a) ₹132 (b) ₹798 (c) ₹133 (d) ₹114

Answer key

  1. 32
  2. 0.015
  3. 4 cm
  4. ₹36
  5. 25%
  6. 16.41
  7. 5
  8. 4
  9. 3
  10. 3
  11. 18 cm
  12. 6/11
  13. 5/6
  14. ₹1900
  15. 121 sq cm
  16. 5%
  17. ₹1479
  18. 55
  19. 5%
  20. 2
  21. 30%
  22. 100 sq cm
  23. 3
  24. 8
  25. 8%
  26. 3 cm
  27. ₹4200
  28. 216
  29. 50%
  30. 60 min
  31. 196 sq cm
  32. 4 years
  33. 9
  34. 6
  35. 8 cm
  36. 9
  37. 11 cm
  38. 3 cm
  39. 2
  40. ₹114

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