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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 943 · 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. 1.123456789 × 8 + 9 =
  2. 2.12345678 × 9 + 9 =
  3. 3.37 × 27 =
  4. 4.11 × 11 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 9 =
  7. 7.12345679 × 18 =
  8. 8.12345 × 8 + 5 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 3 =
  11. 11.123456 × 9 + 7 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 18 =
  14. 14.12345679 × 63 =
  15. 15.123456 × 8 + 6 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 36 =
  19. 19.12345679 × 54 =
  20. 20.37 × 12 =
  21. 21.12345678 × 8 + 8 =
  22. 22.1234 × 9 + 5 =
  23. 23.12345679 × 81 =
  24. 24.37 × 21 =
  25. 25.111111 × 111111 =
  26. 26.37 × 6 =
  27. 27.37 × 9 =
  28. 28.12 × 8 + 2 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12345679 × 72 =
  31. 31.123 × 8 + 3 =
  32. 32.11111 × 11111 =
  33. 33.37 × 15 =
  34. 34.1234 × 8 + 4 =
  35. 35.111 × 111 =
  36. 36.12345679 × 45 =
  37. 37.37 × 24 =
  38. 38.12345679 × 27 =
  39. 39.123 × 9 + 4 =
  40. 40.12345679 × 9 =

Answer key

  1. 987654321
  2. 111111111
  3. 999
  4. 121
  5. 1234321
  6. 111111111
  7. 222222222
  8. 98765
  9. 111111
  10. 111
  11. 1111111
  12. 1111
  13. 666
  14. 777777777
  15. 987654
  16. 11111111
  17. 111
  18. 444444444
  19. 666666666
  20. 444
  21. 98765432
  22. 11111
  23. 999999999
  24. 777
  25. 12345654321
  26. 222
  27. 333
  28. 98
  29. 9876543
  30. 888888888
  31. 987
  32. 123454321
  33. 555
  34. 9876
  35. 12321
  36. 555555555
  37. 888
  38. 333333333
  39. 1111
  40. 111111111

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