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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 324 · 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. 1.12345 × 9 + 6 =
  2. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 45 =
  5. 5.37 × 18 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345679 × 63 =
  8. 8.12345679 × 72 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 27 =
  11. 11.1111 × 1111 =
  12. 12.37 × 15 =
  13. 13.37 × 6 =
  14. 14.123 × 8 + 3 =
  15. 15.37 × 12 =
  16. 16.37 × 27 =
  17. 17.1234 × 8 + 4 =
  18. 18.37 × 9 =
  19. 19.12345679 × 54 =
  20. 20.111 × 111 =
  21. 21.12345679 × 9 =
  22. 22.11111 × 11111 =
  23. 23.37 × 24 =
  24. 24.12 × 8 + 2 =
  25. 25.11 × 11 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 36 =
  28. 28.1234 × 9 + 5 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 81 =
  31. 31.37 × 3 =
  32. 32.1234567 × 8 + 7 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 21 =
  35. 35.123456789 × 8 + 9 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 81 =
  38. 38.111111 × 111111 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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