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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 453 · 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. 1.37 × 12 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345679 × 18 =
  4. 4.12345678 × 9 + 9 =
  5. 5.37 × 9 =
  6. 6.37 × 3 =
  7. 7.12345679 × 54 =
  8. 8.12 × 8 + 2 =
  9. 9.111 × 111 =
  10. 10.37 × 6 =
  11. 11.12345679 × 72 =
  12. 12.1234 × 9 + 5 =
  13. 13.1234567 × 9 + 8 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 36 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 18 =
  18. 18.11 × 11 =
  19. 19.12 × 9 + 3 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 45 =
  22. 22.111111 × 111111 =
  23. 23.123 × 9 + 4 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345 × 9 + 6 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 27 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 81 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 63 =
  33. 33.37 × 27 =
  34. 34.12 × 9 + 3 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345679 × 9 =
  37. 37.37 × 21 =
  38. 38.123 × 8 + 3 =
  39. 39.111111 × 111111 =
  40. 40.12 × 9 + 3 =

Answer key

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

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