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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 62 · 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. 1.111111 × 111111 =
  2. 2.123456789 × 8 + 9 =
  3. 3.37 × 24 =
  4. 4.12345 × 8 + 5 =
  5. 5.1111 × 1111 =
  6. 6.37 × 21 =
  7. 7.1234 × 8 + 4 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 12 =
  10. 10.111 × 111 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 81 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 45 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 18 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 3 =
  20. 20.37 × 15 =
  21. 21.12345679 × 9 =
  22. 22.12 × 9 + 3 =
  23. 23.11 × 11 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345 × 9 + 6 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 63 =
  28. 28.37 × 18 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 54 =
  31. 31.12345679 × 18 =
  32. 32.12345679 × 72 =
  33. 33.11 × 11 =
  34. 34.37 × 9 =
  35. 35.37 × 6 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 12 =
  38. 38.37 × 27 =
  39. 39.1234567 × 9 + 8 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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