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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 948 · 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. 2.12345 × 9 + 6 =
  3. 3.12345679 × 63 =
  4. 4.12345679 × 36 =
  5. 5.1234 × 9 + 5 =
  6. 6.11111 × 11111 =
  7. 7.37 × 12 =
  8. 8.37 × 9 =
  9. 9.11 × 11 =
  10. 10.37 × 24 =
  11. 11.12 × 9 + 3 =
  12. 12.1234 × 8 + 4 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 27 =
  15. 15.123456 × 9 + 7 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 15 =
  18. 18.37 × 27 =
  19. 19.12 × 8 + 2 =
  20. 20.12345679 × 72 =
  21. 21.37 × 18 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 21 =
  24. 24.37 × 3 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345679 × 54 =
  28. 28.37 × 6 =
  29. 29.12345679 × 18 =
  30. 30.1111 × 1111 =
  31. 31.123 × 9 + 4 =
  32. 32.1234567 × 9 + 8 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345679 × 45 =
  35. 35.12 × 8 + 2 =
  36. 36.111111 × 111111 =
  37. 37.111 × 111 =
  38. 38.37 × 6 =
  39. 39.12345679 × 72 =
  40. 40.37 × 21 =

Answer key

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

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