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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 37 · 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 × 81 =
  2. 2.123456 × 9 + 7 =
  3. 3.111111 × 111111 =
  4. 4.37 × 9 =
  5. 5.12345678 × 9 + 9 =
  6. 6.37 × 18 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 72 =
  9. 9.37 × 12 =
  10. 10.123 × 8 + 3 =
  11. 11.12 × 9 + 3 =
  12. 12.123 × 9 + 4 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12 × 8 + 2 =
  15. 15.11111 × 11111 =
  16. 16.1234567 × 9 + 8 =
  17. 17.1234 × 9 + 5 =
  18. 18.37 × 6 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 54 =
  21. 21.1111 × 1111 =
  22. 22.37 × 3 =
  23. 23.12345 × 8 + 5 =
  24. 24.11 × 11 =
  25. 25.111 × 111 =
  26. 26.12345679 × 36 =
  27. 27.12345679 × 63 =
  28. 28.37 × 21 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 45 =
  31. 31.123456 × 8 + 6 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 15 =
  34. 34.37 × 24 =
  35. 35.37 × 27 =
  36. 36.12345679 × 9 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 63 =
  39. 39.12345679 × 9 =
  40. 40.1234567 × 9 + 8 =

Answer key

  1. 999999999
  2. 1111111
  3. 12345654321
  4. 333
  5. 111111111
  6. 666
  7. 98765432
  8. 888888888
  9. 444
  10. 987
  11. 111
  12. 1111
  13. 9876543
  14. 98
  15. 123454321
  16. 11111111
  17. 11111
  18. 222
  19. 222222222
  20. 666666666
  21. 1234321
  22. 111
  23. 98765
  24. 121
  25. 12321
  26. 444444444
  27. 777777777
  28. 777
  29. 333333333
  30. 555555555
  31. 987654
  32. 987654321
  33. 555
  34. 888
  35. 999
  36. 111111111
  37. 111111
  38. 777777777
  39. 111111111
  40. 11111111

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