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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 116 · 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. 1.123 × 9 + 4 =
  2. 2.111111 × 111111 =
  3. 3.123456789 × 8 + 9 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 45 =
  7. 7.12345679 × 36 =
  8. 8.1111 × 1111 =
  9. 9.37 × 15 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 21 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 72 =
  14. 14.111 × 111 =
  15. 15.12345 × 8 + 5 =
  16. 16.123456 × 9 + 7 =
  17. 17.37 × 6 =
  18. 18.11 × 11 =
  19. 19.37 × 9 =
  20. 20.12 × 9 + 3 =
  21. 21.37 × 12 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 81 =
  25. 25.11111 × 11111 =
  26. 26.12345678 × 8 + 8 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 27 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 18 =
  32. 32.37 × 24 =
  33. 33.12345679 × 63 =
  34. 34.37 × 27 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 18 =
  37. 37.11 × 11 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 3 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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