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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 928 · 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 × 9 + 3 =
  2. 2.37 × 18 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345 × 9 + 6 =
  5. 5.1234567 × 9 + 8 =
  6. 6.1234 × 9 + 5 =
  7. 7.123 × 9 + 4 =
  8. 8.37 × 9 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 27 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 63 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 18 =
  15. 15.37 × 6 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 21 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 81 =
  21. 21.12345678 × 8 + 8 =
  22. 22.111111 × 111111 =
  23. 23.12 × 8 + 2 =
  24. 24.11 × 11 =
  25. 25.11111 × 11111 =
  26. 26.37 × 27 =
  27. 27.12345679 × 36 =
  28. 28.37 × 24 =
  29. 29.1234 × 8 + 4 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 9 =
  32. 32.37 × 3 =
  33. 33.12345679 × 72 =
  34. 34.111 × 111 =
  35. 35.111 × 111 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 54 =
  38. 38.37 × 15 =
  39. 39.37 × 12 =
  40. 40.12345679 × 27 =

Answer key

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

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