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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 275 · 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. 1.1234567 × 8 + 7 =
  2. 2.12345679 × 18 =
  3. 3.12345678 × 8 + 8 =
  4. 4.123456 × 9 + 7 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 27 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 54 =
  10. 10.12345 × 9 + 6 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 27 =
  13. 13.12345679 × 9 =
  14. 14.111 × 111 =
  15. 15.37 × 6 =
  16. 16.12345679 × 45 =
  17. 17.1111 × 1111 =
  18. 18.123456 × 8 + 6 =
  19. 19.11111 × 11111 =
  20. 20.37 × 18 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 81 =
  23. 23.12 × 8 + 2 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 9 =
  26. 26.12345679 × 72 =
  27. 27.123456789 × 8 + 9 =
  28. 28.111111 × 111111 =
  29. 29.37 × 3 =
  30. 30.37 × 24 =
  31. 31.1234567 × 9 + 8 =
  32. 32.37 × 21 =
  33. 33.37 × 12 =
  34. 34.11 × 11 =
  35. 35.12345679 × 63 =
  36. 36.12345 × 8 + 5 =
  37. 37.123456789 × 8 + 9 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 18 =
  40. 40.37 × 15 =

Answer key

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

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