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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 779 · 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. 2.12345679 × 27 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 45 =
  6. 6.123456 × 9 + 7 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 9 =
  9. 9.37 × 3 =
  10. 10.12345679 × 9 =
  11. 11.1111 × 1111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 6 =
  14. 14.12345 × 9 + 6 =
  15. 15.111111 × 111111 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 81 =
  18. 18.12 × 9 + 3 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345678 × 8 + 8 =
  22. 22.37 × 12 =
  23. 23.12345679 × 54 =
  24. 24.12 × 8 + 2 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 72 =
  27. 27.111 × 111 =
  28. 28.123 × 9 + 4 =
  29. 29.11111 × 11111 =
  30. 30.37 × 27 =
  31. 31.37 × 24 =
  32. 32.37 × 15 =
  33. 33.12345679 × 36 =
  34. 34.37 × 18 =
  35. 35.11 × 11 =
  36. 36.1234 × 8 + 4 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 21 =
  39. 39.37 × 15 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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