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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 538 · 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 × 63 =
  2. 2.11111 × 11111 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 18 =
  7. 7.123456 × 8 + 6 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12 × 8 + 2 =
  10. 10.111 × 111 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345 × 9 + 6 =
  13. 13.1111 × 1111 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 36 =
  17. 17.12345679 × 81 =
  18. 18.37 × 15 =
  19. 19.123456789 × 8 + 9 =
  20. 20.37 × 27 =
  21. 21.37 × 18 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12 × 9 + 3 =
  24. 24.37 × 12 =
  25. 25.37 × 3 =
  26. 26.12345 × 8 + 5 =
  27. 27.123456 × 9 + 7 =
  28. 28.123 × 8 + 3 =
  29. 29.11 × 11 =
  30. 30.37 × 24 =
  31. 31.12345678 × 8 + 8 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 45 =
  34. 34.11 × 11 =
  35. 35.37 × 9 =
  36. 36.37 × 6 =
  37. 37.111 × 111 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 54 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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