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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 154 · 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. 1.123456 × 8 + 6 =
  2. 2.1234 × 8 + 4 =
  3. 3.1234 × 9 + 5 =
  4. 4.111 × 111 =
  5. 5.123 × 8 + 3 =
  6. 6.11 × 11 =
  7. 7.12 × 8 + 2 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 36 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 9 =
  13. 13.37 × 9 =
  14. 14.12345679 × 18 =
  15. 15.37 × 6 =
  16. 16.12345679 × 72 =
  17. 17.37 × 12 =
  18. 18.11111 × 11111 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 3 =
  22. 22.37 × 27 =
  23. 23.1234567 × 8 + 7 =
  24. 24.37 × 15 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345679 × 63 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 81 =
  29. 29.37 × 24 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345679 × 18 =
  32. 32.37 × 18 =
  33. 33.111111 × 111111 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 45 =
  36. 36.123 × 9 + 4 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 63 =
  39. 39.37 × 3 =
  40. 40.12345679 × 63 =

Answer key

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

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