← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 358 · 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. 1.1/2 + 2/3 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 3/5
  2. 2.What is 1/4 of 16? (a) 4 (b) 8 (c) 5 (d) 12
  3. 3.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 5 min (c) 105 min (d) 525 min
  4. 4.If 1 March is a Thursday, what day of the week is 10 March? (a) Friday (b) Sunday (c) Monday (d) Saturday
  5. 5.A bag marked ₹1660 is sold at a 15% discount. What is its selling price? (a) ₹1411 (b) ₹249 (c) ₹1909 (d) ₹1645
  6. 6.1.57 + 3.7 = ? (a) 5.37 (b) 5.27 (c) 5.17 (d) 1.94
  7. 7.What is 25% of 180? (a) 45 (b) 135 (c) 450 (d) 90
  8. 8.What is the value of the digit 9 in 49.318? (a) 9 (b) 0.9 (c) 90 (d) 0.09
  9. 9.What is 30% of 300? (a) 900 (b) 210 (c) 90 (d) 180
  10. 10.Which of these numbers is divisible by 4? (a) 1481 (b) 1489 (c) 1485 (d) 1484
  11. 11.What is the simple interest on ₹9500 at 8% per year for 3 years? (a) ₹2280 (b) ₹760 (c) ₹11780 (d) ₹3040
  12. 12.3/8 + 1/2 = ? (a) 3/4 (b) 1 (c) 2/5 (d) 7/8
  13. 13.What is the units digit of 3^26? (a) 7 (b) 1 (c) 9 (d) 3
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  15. 15.What is 50% of 700? (a) 350 (b) 700 (c) 351 (d) 3500
  16. 16.2/9 + 3/6 = ? (a) 13/18 (b) 2/3 (c) 7/9 (d) 1/3
  17. 17.1/4 + 1/4 = ? (a) 1 (b) 1/2 (c) 3/4 (d) 1/4
  18. 18.₹30 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹15 (b) ₹24 (c) ₹30 (d) ₹6
  19. 19.What is the units digit of 7^21? (a) 3 (b) 7 (c) 1 (d) 9
  20. 20.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 48 cm (c) 8 cm (d) 14 cm
  21. 21.₹81 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹9 (b) ₹72 (c) ₹63 (d) ₹18
  22. 22.If 18 September is a Tuesday, what day of the week is 1 October? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  23. 23.3.62 + 9.8 = ? (a) 13.52 (b) 4.6 (c) 13.32 (d) 13.42
  24. 24.If 7x + 13 = x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  25. 25.₹270 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹45 (b) ₹270 (c) ₹225 (d) ₹135
  26. 26.What is 1/4 of 28? (a) 14 (b) 7 (c) 21 (d) 8
  27. 27.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 91 cm (c) 8 cm (d) 9 cm
  28. 28.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 2 days (d) 9 days
  29. 29.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 42 (b) 60 (c) 120 (d) 360
  30. 30.1/2 + 1/9 = ? (a) 11/18 (b) 2/11 (c) 5/9 (d) 2/3
  31. 31.What is 3/8 of 72? (a) 9 (b) 36 (c) 45 (d) 27
  32. 32.Today is Monday. What day of the week will it be after 88 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  33. 33.A teacher has 15 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 3 (c) 15 (d) 1
  34. 34.What is the smallest number you must add to 194 to make it divisible by 6? (a) 4 (b) 2 (c) 3 (d) 5
  35. 35.If 2x + 11 = 23, what is x? (a) 7 (b) 6 (c) 12 (d) 17
  36. 36.In how many years will ₹1000 earn ₹140 simple interest at 7% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years
  37. 37.If 14 April is a Thursday, what day of the week is 8 May? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  38. 38.A teacher has 32 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 32 (b) 4 (c) 24 (d) 8
  39. 39.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
  40. 40.What is the average of all the whole numbers from 19 to 53? (a) 17 (b) 34 (c) 37 (d) 36

Answer key

  1. 7/6
  2. 4
  3. 105 min
  4. Saturday
  5. ₹1411
  6. 5.27
  7. 45
  8. 9
  9. 90
  10. 1484
  11. ₹2280
  12. 7/8
  13. 9
  14. 36 cm
  15. 350
  16. 13/18
  17. 1/2
  18. ₹24
  19. 7
  20. 7 cm
  21. ₹63
  22. Monday
  23. 13.42
  24. 1
  25. ₹225
  26. 7
  27. 8 cm
  28. 8 days
  29. 60
  30. 11/18
  31. 27
  32. Friday
  33. 3
  34. 4
  35. 6
  36. 2 years
  37. Sunday
  38. 8
  39. 70 sq cm
  40. 36

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad