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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 483 · 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 × 63 =
  2. 2.12345679 × 18 =
  3. 3.37 × 15 =
  4. 4.37 × 12 =
  5. 5.12345679 × 54 =
  6. 6.12345679 × 72 =
  7. 7.1234 × 9 + 5 =
  8. 8.12 × 8 + 2 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 9 + 6 =
  11. 11.111 × 111 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 9 =
  14. 14.11 × 11 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 21 =
  17. 17.37 × 3 =
  18. 18.37 × 24 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 6 =
  22. 22.37 × 18 =
  23. 23.123 × 9 + 4 =
  24. 24.111111 × 111111 =
  25. 25.37 × 27 =
  26. 26.123 × 8 + 3 =
  27. 27.12345678 × 9 + 9 =
  28. 28.11111 × 11111 =
  29. 29.1111 × 1111 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 81 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 36 =
  34. 34.12345679 × 45 =
  35. 35.123 × 9 + 4 =
  36. 36.12345 × 8 + 5 =
  37. 37.1234 × 8 + 4 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 9 =

Answer key

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

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