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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 921 · 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. 2.123 × 8 + 3 =
  3. 3.12 × 8 + 2 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.37 × 18 =
  8. 8.37 × 15 =
  9. 9.12345679 × 45 =
  10. 10.37 × 24 =
  11. 11.11111 × 11111 =
  12. 12.37 × 12 =
  13. 13.111 × 111 =
  14. 14.12345679 × 54 =
  15. 15.1111 × 1111 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 63 =
  18. 18.111111 × 111111 =
  19. 19.37 × 3 =
  20. 20.12345679 × 36 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 9 + 6 =
  23. 23.11 × 11 =
  24. 24.37 × 9 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 81 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.1234 × 8 + 4 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 27 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 18 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345679 × 72 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 21 =
  40. 40.12345679 × 63 =

Answer key

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

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