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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 803 · 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. 1.12 × 9 + 3 =
  2. 2.1234567 × 9 + 8 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 54 =
  5. 5.111 × 111 =
  6. 6.11 × 11 =
  7. 7.12345679 × 81 =
  8. 8.123456789 × 8 + 9 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345 × 8 + 5 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 15 =
  16. 16.12345679 × 45 =
  17. 17.11111 × 11111 =
  18. 18.37 × 24 =
  19. 19.12345679 × 36 =
  20. 20.1234 × 8 + 4 =
  21. 21.37 × 9 =
  22. 22.111111 × 111111 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 3 =
  25. 25.37 × 12 =
  26. 26.12345679 × 63 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 72 =
  29. 29.37 × 18 =
  30. 30.12345679 × 81 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 6 =
  33. 33.123 × 9 + 4 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 27 =
  36. 36.12345679 × 9 =
  37. 37.37 × 21 =
  38. 38.37 × 12 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12 × 8 + 2 =

Answer key

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

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