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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 43 · 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 × 81 =
  2. 2.11111 × 11111 =
  3. 3.37 × 12 =
  4. 4.1111 × 1111 =
  5. 5.12345679 × 27 =
  6. 6.37 × 21 =
  7. 7.12345 × 9 + 6 =
  8. 8.37 × 3 =
  9. 9.12345679 × 45 =
  10. 10.12345679 × 18 =
  11. 11.111 × 111 =
  12. 12.11 × 11 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 72 =
  15. 15.12345679 × 63 =
  16. 16.37 × 27 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123 × 9 + 4 =
  19. 19.123456 × 8 + 6 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345 × 8 + 5 =
  23. 23.37 × 15 =
  24. 24.123 × 8 + 3 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345679 × 54 =
  27. 27.37 × 18 =
  28. 28.12 × 8 + 2 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345679 × 9 =
  31. 31.12 × 9 + 3 =
  32. 32.1234 × 9 + 5 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 24 =
  35. 35.1234 × 8 + 4 =
  36. 36.123456 × 9 + 7 =
  37. 37.37 × 9 =
  38. 38.12345679 × 36 =
  39. 39.37 × 15 =
  40. 40.37 × 6 =

Answer key

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

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