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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 885 · 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. 1.12345 × 9 + 6 =
  2. 2.12345 × 8 + 5 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 18 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345679 × 81 =
  7. 7.11 × 11 =
  8. 8.11111 × 11111 =
  9. 9.111 × 111 =
  10. 10.12 × 8 + 2 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 45 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 36 =
  15. 15.1234567 × 9 + 8 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 6 =
  18. 18.12345679 × 54 =
  19. 19.12345679 × 27 =
  20. 20.37 × 15 =
  21. 21.37 × 21 =
  22. 22.1234567 × 8 + 7 =
  23. 23.37 × 12 =
  24. 24.12345679 × 9 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 72 =
  27. 27.123456 × 8 + 6 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 18 =
  30. 30.37 × 3 =
  31. 31.37 × 6 =
  32. 32.37 × 9 =
  33. 33.37 × 27 =
  34. 34.12 × 9 + 3 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345678 × 8 + 8 =
  38. 38.11 × 11 =
  39. 39.11 × 11 =
  40. 40.12345679 × 63 =

Answer key

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

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