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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 250 · 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 × 8 + 2 =
  2. 2.111 × 111 =
  3. 3.12345678 × 8 + 8 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 6 =
  6. 6.123456 × 9 + 7 =
  7. 7.123 × 8 + 3 =
  8. 8.12345 × 8 + 5 =
  9. 9.37 × 27 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345679 × 45 =
  12. 12.37 × 9 =
  13. 13.37 × 3 =
  14. 14.1234567 × 9 + 8 =
  15. 15.37 × 18 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 27 =
  18. 18.37 × 21 =
  19. 19.12345678 × 9 + 9 =
  20. 20.12345679 × 54 =
  21. 21.37 × 12 =
  22. 22.12345679 × 63 =
  23. 23.12345679 × 9 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 18 =
  26. 26.11 × 11 =
  27. 27.111111 × 111111 =
  28. 28.12345679 × 81 =
  29. 29.37 × 24 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 72 =
  32. 32.12345679 × 36 =
  33. 33.11111 × 11111 =
  34. 34.1234 × 8 + 4 =
  35. 35.37 × 12 =
  36. 36.111111 × 111111 =
  37. 37.11 × 11 =
  38. 38.123456 × 8 + 6 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12 × 9 + 3 =

Answer key

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

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