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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 136 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 36 =
  3. 3.37 × 15 =
  4. 4.123456 × 8 + 6 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 54 =
  8. 8.37 × 9 =
  9. 9.37 × 27 =
  10. 10.123 × 8 + 3 =
  11. 11.12345678 × 8 + 8 =
  12. 12.123 × 9 + 4 =
  13. 13.111 × 111 =
  14. 14.37 × 6 =
  15. 15.1234 × 9 + 5 =
  16. 16.11 × 11 =
  17. 17.12345679 × 9 =
  18. 18.12345679 × 18 =
  19. 19.11111 × 11111 =
  20. 20.12345679 × 27 =
  21. 21.12345679 × 63 =
  22. 22.37 × 12 =
  23. 23.12345679 × 81 =
  24. 24.1111 × 1111 =
  25. 25.12345 × 9 + 6 =
  26. 26.1234 × 8 + 4 =
  27. 27.12345679 × 45 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12 × 9 + 3 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 18 =
  32. 32.12345 × 8 + 5 =
  33. 33.37 × 24 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 6 =
  36. 36.37 × 21 =
  37. 37.123456 × 9 + 7 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 27 =
  40. 40.37 × 9 =

Answer key

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

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