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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 634 · 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 × 36 =
  2. 2.11111 × 11111 =
  3. 3.37 × 21 =
  4. 4.12345679 × 63 =
  5. 5.111 × 111 =
  6. 6.1234567 × 8 + 7 =
  7. 7.123456 × 8 + 6 =
  8. 8.12345679 × 27 =
  9. 9.37 × 6 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 12 =
  12. 12.1111 × 1111 =
  13. 13.11 × 11 =
  14. 14.12 × 9 + 3 =
  15. 15.12345 × 9 + 6 =
  16. 16.123 × 8 + 3 =
  17. 17.37 × 15 =
  18. 18.111111 × 111111 =
  19. 19.37 × 3 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 18 =
  22. 22.37 × 27 =
  23. 23.123456789 × 8 + 9 =
  24. 24.12345679 × 81 =
  25. 25.12345679 × 72 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 9 =
  28. 28.37 × 24 =
  29. 29.12345679 × 45 =
  30. 30.1234 × 8 + 4 =
  31. 31.123 × 9 + 4 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345678 × 8 + 8 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 54 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 18 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 12 =
  40. 40.11 × 11 =

Answer key

  1. 444444444
  2. 123454321
  3. 777
  4. 777777777
  5. 12321
  6. 9876543
  7. 987654
  8. 333333333
  9. 222
  10. 98765
  11. 444
  12. 1234321
  13. 121
  14. 111
  15. 111111
  16. 987
  17. 555
  18. 12345654321
  19. 111
  20. 111111111
  21. 222222222
  22. 999
  23. 987654321
  24. 999999999
  25. 888888888
  26. 1111111
  27. 333
  28. 888
  29. 555555555
  30. 9876
  31. 1111
  32. 11111111
  33. 98765432
  34. 11111
  35. 666666666
  36. 111111111
  37. 666
  38. 98
  39. 444
  40. 121

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