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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 164 · 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 × 12 =
  2. 2.111 × 111 =
  3. 3.37 × 9 =
  4. 4.12345679 × 54 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345679 × 63 =
  7. 7.1234567 × 9 + 8 =
  8. 8.37 × 6 =
  9. 9.12345679 × 18 =
  10. 10.123456 × 8 + 6 =
  11. 11.1234 × 9 + 5 =
  12. 12.12 × 9 + 3 =
  13. 13.111111 × 111111 =
  14. 14.1111 × 1111 =
  15. 15.123 × 8 + 3 =
  16. 16.37 × 3 =
  17. 17.12345679 × 9 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 81 =
  20. 20.12345 × 8 + 5 =
  21. 21.11111 × 11111 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 45 =
  24. 24.11 × 11 =
  25. 25.37 × 21 =
  26. 26.12345679 × 27 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 27 =
  29. 29.123 × 9 + 4 =
  30. 30.37 × 18 =
  31. 31.12345679 × 36 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 15 =
  34. 34.12 × 8 + 2 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1111 × 1111 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345 × 8 + 5 =
  39. 39.37 × 24 =
  40. 40.12 × 9 + 3 =

Answer key

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

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