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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 636 · 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. 2.111111 × 111111 =
  3. 3.12345679 × 81 =
  4. 4.123 × 9 + 4 =
  5. 5.12345678 × 9 + 9 =
  6. 6.11111 × 11111 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 45 =
  10. 10.37 × 15 =
  11. 11.12345 × 9 + 6 =
  12. 12.1234567 × 8 + 7 =
  13. 13.111 × 111 =
  14. 14.123456 × 9 + 7 =
  15. 15.11 × 11 =
  16. 16.12345679 × 27 =
  17. 17.37 × 12 =
  18. 18.12345679 × 72 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 24 =
  22. 22.1111 × 1111 =
  23. 23.37 × 18 =
  24. 24.1234 × 9 + 5 =
  25. 25.37 × 9 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 27 =
  28. 28.12345679 × 9 =
  29. 29.37 × 6 =
  30. 30.37 × 21 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12 × 9 + 3 =
  33. 33.37 × 3 =
  34. 34.12345679 × 36 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1111 × 1111 =
  37. 37.123456 × 8 + 6 =
  38. 38.11 × 11 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 63 =

Answer key

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

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