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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 21 · 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 × 54 =
  2. 2.1111 × 1111 =
  3. 3.1234567 × 8 + 7 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 3 =
  6. 6.11111 × 11111 =
  7. 7.12345678 × 9 + 9 =
  8. 8.11 × 11 =
  9. 9.37 × 6 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12 × 8 + 2 =
  12. 12.12345 × 8 + 5 =
  13. 13.123456789 × 8 + 9 =
  14. 14.37 × 9 =
  15. 15.12345 × 9 + 6 =
  16. 16.111111 × 111111 =
  17. 17.37 × 27 =
  18. 18.12345679 × 72 =
  19. 19.111 × 111 =
  20. 20.1234 × 8 + 4 =
  21. 21.12345679 × 81 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 18 =
  24. 24.123456 × 8 + 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 24 =
  28. 28.12345679 × 9 =
  29. 29.37 × 21 =
  30. 30.12345679 × 63 =
  31. 31.12345679 × 36 =
  32. 32.37 × 15 =
  33. 33.37 × 12 =
  34. 34.37 × 27 =
  35. 35.37 × 9 =
  36. 36.1234 × 9 + 5 =
  37. 37.12 × 9 + 3 =
  38. 38.1234567 × 9 + 8 =
  39. 39.111 × 111 =
  40. 40.12345679 × 27 =

Answer key

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

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