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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 428 · 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. 1.123456 × 8 + 6 =
  2. 2.123456789 × 8 + 9 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 18 =
  5. 5.37 × 18 =
  6. 6.1111 × 1111 =
  7. 7.123 × 9 + 4 =
  8. 8.111111 × 111111 =
  9. 9.37 × 12 =
  10. 10.12 × 8 + 2 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 6 =
  13. 13.1234567 × 9 + 8 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 36 =
  18. 18.12345679 × 72 =
  19. 19.37 × 24 =
  20. 20.37 × 3 =
  21. 21.37 × 27 =
  22. 22.12345679 × 81 =
  23. 23.111 × 111 =
  24. 24.37 × 21 =
  25. 25.1234 × 9 + 5 =
  26. 26.37 × 15 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 45 =
  29. 29.1234 × 8 + 4 =
  30. 30.11111 × 11111 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 54 =
  34. 34.11 × 11 =
  35. 35.12345679 × 63 =
  36. 36.37 × 9 =
  37. 37.1111 × 1111 =
  38. 38.123456789 × 8 + 9 =
  39. 39.123 × 9 + 4 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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