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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 44 · 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. 2.37 × 6 =
  3. 3.111 × 111 =
  4. 4.12 × 8 + 2 =
  5. 5.11 × 11 =
  6. 6.37 × 3 =
  7. 7.37 × 15 =
  8. 8.12345679 × 9 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345 × 9 + 6 =
  11. 11.1234567 × 8 + 7 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 27 =
  14. 14.12345679 × 45 =
  15. 15.12 × 9 + 3 =
  16. 16.123 × 9 + 4 =
  17. 17.123 × 8 + 3 =
  18. 18.12345679 × 72 =
  19. 19.111111 × 111111 =
  20. 20.12345679 × 18 =
  21. 21.12345679 × 54 =
  22. 22.12345679 × 27 =
  23. 23.37 × 21 =
  24. 24.37 × 24 =
  25. 25.12345679 × 36 =
  26. 26.37 × 9 =
  27. 27.12345679 × 81 =
  28. 28.37 × 12 =
  29. 29.1111 × 1111 =
  30. 30.123456 × 8 + 6 =
  31. 31.11111 × 11111 =
  32. 32.37 × 27 =
  33. 33.12345678 × 9 + 9 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 27 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345 × 8 + 5 =
  39. 39.12345679 × 36 =
  40. 40.123 × 8 + 3 =

Answer key

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

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