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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 32 · 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. 1.12345679 × 54 =
  2. 2.37 × 6 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 27 =
  5. 5.12345 × 8 + 5 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 81 =
  8. 8.37 × 21 =
  9. 9.12 × 8 + 2 =
  10. 10.12345678 × 8 + 8 =
  11. 11.11 × 11 =
  12. 12.12345 × 9 + 6 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123 × 8 + 3 =
  16. 16.1234 × 8 + 4 =
  17. 17.12345679 × 36 =
  18. 18.111 × 111 =
  19. 19.12345679 × 72 =
  20. 20.37 × 12 =
  21. 21.123456 × 8 + 6 =
  22. 22.11111 × 11111 =
  23. 23.1111 × 1111 =
  24. 24.12 × 9 + 3 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345679 × 63 =
  27. 27.12345679 × 9 =
  28. 28.11 × 11 =
  29. 29.12345679 × 45 =
  30. 30.123 × 9 + 4 =
  31. 31.1234 × 9 + 5 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 27 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 24 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 3 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 63 =
  40. 40.12 × 8 + 2 =

Answer key

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

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