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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 175 · 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. 1.1234 × 9 + 5 =
  2. 2.12345679 × 45 =
  3. 3.1234 × 8 + 4 =
  4. 4.37 × 21 =
  5. 5.12 × 9 + 3 =
  6. 6.111111 × 111111 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 27 =
  9. 9.37 × 18 =
  10. 10.12345679 × 54 =
  11. 11.37 × 15 =
  12. 12.123456789 × 8 + 9 =
  13. 13.111 × 111 =
  14. 14.37 × 12 =
  15. 15.12 × 8 + 2 =
  16. 16.123456 × 8 + 6 =
  17. 17.123 × 9 + 4 =
  18. 18.11 × 11 =
  19. 19.12345679 × 81 =
  20. 20.12345679 × 72 =
  21. 21.12345679 × 18 =
  22. 22.1111 × 1111 =
  23. 23.37 × 24 =
  24. 24.123 × 8 + 3 =
  25. 25.12345678 × 8 + 8 =
  26. 26.1234567 × 9 + 8 =
  27. 27.11111 × 11111 =
  28. 28.12345679 × 36 =
  29. 29.37 × 9 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 6 =
  32. 32.12345679 × 9 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 63 =
  35. 35.37 × 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 27 =
  38. 38.12345679 × 27 =
  39. 39.12345 × 9 + 6 =
  40. 40.12 × 8 + 2 =

Answer key

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

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