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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 572 · 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 × 36 =
  2. 2.12 × 9 + 3 =
  3. 3.111 × 111 =
  4. 4.37 × 21 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 72 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 12 =
  9. 9.12345679 × 81 =
  10. 10.1234 × 9 + 5 =
  11. 11.37 × 3 =
  12. 12.12345679 × 54 =
  13. 13.37 × 27 =
  14. 14.12345679 × 63 =
  15. 15.37 × 18 =
  16. 16.123456 × 8 + 6 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 45 =
  20. 20.37 × 15 =
  21. 21.123 × 8 + 3 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 18 =
  24. 24.1234567 × 8 + 7 =
  25. 25.11 × 11 =
  26. 26.37 × 9 =
  27. 27.111111 × 111111 =
  28. 28.1111 × 1111 =
  29. 29.12345 × 8 + 5 =
  30. 30.1234567 × 9 + 8 =
  31. 31.11111 × 11111 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 24 =
  34. 34.37 × 3 =
  35. 35.12345679 × 27 =
  36. 36.37 × 6 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345678 × 8 + 8 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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