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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 870 · 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. 1.37 × 12 =
  2. 2.111111 × 111111 =
  3. 3.12345679 × 45 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 9 =
  6. 6.1234 × 8 + 4 =
  7. 7.123456 × 9 + 7 =
  8. 8.11 × 11 =
  9. 9.12 × 9 + 3 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 18 =
  12. 12.12 × 8 + 2 =
  13. 13.111 × 111 =
  14. 14.37 × 27 =
  15. 15.12345679 × 54 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 81 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345679 × 36 =
  21. 21.37 × 6 =
  22. 22.37 × 24 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 72 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345678 × 9 + 9 =
  27. 27.37 × 21 =
  28. 28.12345678 × 8 + 8 =
  29. 29.37 × 3 =
  30. 30.123456 × 8 + 6 =
  31. 31.37 × 9 =
  32. 32.111111 × 111111 =
  33. 33.12345679 × 18 =
  34. 34.37 × 15 =
  35. 35.11111 × 11111 =
  36. 36.123 × 8 + 3 =
  37. 37.1234567 × 9 + 8 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 27 =
  40. 40.37 × 15 =

Answer key

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

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