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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 638 · 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. 1.12 × 9 + 3 =
  2. 2.12345679 × 45 =
  3. 3.123456 × 8 + 6 =
  4. 4.111111 × 111111 =
  5. 5.123456789 × 8 + 9 =
  6. 6.11 × 11 =
  7. 7.123 × 9 + 4 =
  8. 8.37 × 3 =
  9. 9.12345679 × 72 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 12 =
  12. 12.12345678 × 8 + 8 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 63 =
  15. 15.37 × 18 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 18 =
  19. 19.11111 × 11111 =
  20. 20.37 × 6 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 36 =
  23. 23.37 × 21 =
  24. 24.1111 × 1111 =
  25. 25.37 × 15 =
  26. 26.37 × 24 =
  27. 27.12345679 × 9 =
  28. 28.37 × 9 =
  29. 29.123 × 8 + 3 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 27 =
  33. 33.111 × 111 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 54 =
  39. 39.37 × 27 =
  40. 40.12 × 8 + 2 =

Answer key

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

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