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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 500 · 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 × 72 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 9 =
  4. 4.111 × 111 =
  5. 5.1234567 × 9 + 8 =
  6. 6.1234 × 9 + 5 =
  7. 7.12 × 9 + 3 =
  8. 8.123456 × 9 + 7 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 36 =
  11. 11.12345679 × 81 =
  12. 12.1234567 × 8 + 7 =
  13. 13.12345678 × 8 + 8 =
  14. 14.37 × 27 =
  15. 15.111111 × 111111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 54 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 9 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345679 × 45 =
  22. 22.11111 × 11111 =
  23. 23.123456789 × 8 + 9 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 18 =
  26. 26.37 × 24 =
  27. 27.37 × 6 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 27 =
  30. 30.37 × 18 =
  31. 31.37 × 3 =
  32. 32.37 × 21 =
  33. 33.11 × 11 =
  34. 34.1111 × 1111 =
  35. 35.12345679 × 63 =
  36. 36.11 × 11 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 12 =
  39. 39.37 × 24 =
  40. 40.37 × 15 =

Answer key

  1. 888888888
  2. 111111
  3. 333
  4. 12321
  5. 11111111
  6. 11111
  7. 111
  8. 1111111
  9. 98
  10. 444444444
  11. 999999999
  12. 9876543
  13. 98765432
  14. 999
  15. 12345654321
  16. 111111111
  17. 666666666
  18. 987
  19. 111111111
  20. 987654
  21. 555555555
  22. 123454321
  23. 987654321
  24. 1111
  25. 222222222
  26. 888
  27. 222
  28. 98765
  29. 333333333
  30. 666
  31. 111
  32. 777
  33. 121
  34. 1234321
  35. 777777777
  36. 121
  37. 9876
  38. 444
  39. 888
  40. 555

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