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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 935 · 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. 1.123456 × 8 + 6 =
  2. 2.111 × 111 =
  3. 3.11111 × 11111 =
  4. 4.1111 × 1111 =
  5. 5.12 × 9 + 3 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 63 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 24 =
  11. 11.123456789 × 8 + 9 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 9 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 72 =
  16. 16.12 × 8 + 2 =
  17. 17.1234 × 8 + 4 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 18 =
  21. 21.37 × 18 =
  22. 22.37 × 3 =
  23. 23.37 × 12 =
  24. 24.37 × 9 =
  25. 25.12345 × 8 + 5 =
  26. 26.123 × 9 + 4 =
  27. 27.1234 × 9 + 5 =
  28. 28.37 × 15 =
  29. 29.12345679 × 81 =
  30. 30.12345679 × 45 =
  31. 31.11 × 11 =
  32. 32.37 × 6 =
  33. 33.12345679 × 36 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 27 =
  36. 36.37 × 15 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 27 =
  39. 39.37 × 6 =
  40. 40.37 × 21 =

Answer key

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

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