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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 74 · 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. 1.1111 × 1111 =
  2. 2.123 × 8 + 3 =
  3. 3.12345679 × 54 =
  4. 4.37 × 24 =
  5. 5.12 × 9 + 3 =
  6. 6.37 × 3 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 81 =
  9. 9.12345 × 9 + 6 =
  10. 10.11111 × 11111 =
  11. 11.1234567 × 9 + 8 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 18 =
  14. 14.1234 × 9 + 5 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345679 × 63 =
  17. 17.111111 × 111111 =
  18. 18.11 × 11 =
  19. 19.111 × 111 =
  20. 20.12345679 × 9 =
  21. 21.37 × 6 =
  22. 22.12345679 × 72 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 27 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 45 =
  29. 29.37 × 15 =
  30. 30.12345 × 8 + 5 =
  31. 31.123 × 9 + 4 =
  32. 32.37 × 21 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 9 =
  35. 35.12345678 × 9 + 9 =
  36. 36.111111 × 111111 =
  37. 37.37 × 12 =
  38. 38.1234567 × 8 + 7 =
  39. 39.11 × 11 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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