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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 981 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.37 × 18 =
  2. 2.37 × 6 =
  3. 3.12345 × 8 + 5 =
  4. 4.123 × 8 + 3 =
  5. 5.11 × 11 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345679 × 18 =
  8. 8.12 × 8 + 2 =
  9. 9.12 × 9 + 3 =
  10. 10.1111 × 1111 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 12 =
  13. 13.37 × 21 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 63 =
  17. 17.111 × 111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 72 =
  21. 21.12345679 × 9 =
  22. 22.12345 × 9 + 6 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 15 =
  25. 25.37 × 24 =
  26. 26.12345679 × 27 =
  27. 27.37 × 9 =
  28. 28.12345679 × 36 =
  29. 29.111111 × 111111 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 45 =
  33. 33.37 × 27 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 54 =
  36. 36.37 × 3 =
  37. 37.12345679 × 81 =
  38. 38.37 × 3 =
  39. 39.11 × 11 =
  40. 40.11111 × 11111 =

Answer key

  1. 666
  2. 222
  3. 98765
  4. 987
  5. 121
  6. 111111111
  7. 222222222
  8. 98
  9. 111
  10. 1234321
  11. 9876
  12. 444
  13. 777
  14. 1111111
  15. 9876543
  16. 777777777
  17. 12321
  18. 11111111
  19. 1111
  20. 888888888
  21. 111111111
  22. 111111
  23. 11111
  24. 555
  25. 888
  26. 333333333
  27. 333
  28. 444444444
  29. 12345654321
  30. 987654321
  31. 98765432
  32. 555555555
  33. 999
  34. 987654
  35. 666666666
  36. 111
  37. 999999999
  38. 111
  39. 121
  40. 123454321

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