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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 375 · 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. 2.12345679 × 27 =
  3. 3.1234 × 8 + 4 =
  4. 4.123456 × 8 + 6 =
  5. 5.123456789 × 8 + 9 =
  6. 6.11 × 11 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 18 =
  10. 10.12 × 8 + 2 =
  11. 11.1111 × 1111 =
  12. 12.123 × 9 + 4 =
  13. 13.123456 × 9 + 7 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345678 × 8 + 8 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345679 × 45 =
  18. 18.111 × 111 =
  19. 19.12345679 × 72 =
  20. 20.37 × 21 =
  21. 21.37 × 6 =
  22. 22.12345 × 8 + 5 =
  23. 23.111111 × 111111 =
  24. 24.12345 × 9 + 6 =
  25. 25.12 × 9 + 3 =
  26. 26.37 × 27 =
  27. 27.37 × 9 =
  28. 28.37 × 3 =
  29. 29.1234 × 9 + 5 =
  30. 30.11111 × 11111 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 63 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 54 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 3 =
  37. 37.37 × 24 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 36 =
  40. 40.37 × 6 =

Answer key

  1. 444
  2. 333333333
  3. 9876
  4. 987654
  5. 987654321
  6. 121
  7. 999999999
  8. 111111111
  9. 222222222
  10. 98
  11. 1234321
  12. 1111
  13. 1111111
  14. 9876543
  15. 98765432
  16. 11111111
  17. 555555555
  18. 12321
  19. 888888888
  20. 777
  21. 222
  22. 98765
  23. 12345654321
  24. 111111
  25. 111
  26. 999
  27. 333
  28. 111
  29. 11111
  30. 123454321
  31. 987
  32. 777777777
  33. 111111111
  34. 666666666
  35. 987
  36. 111
  37. 888
  38. 222222222
  39. 444444444
  40. 222

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