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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 790 · 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 × 8 + 2 =
  2. 2.123456 × 8 + 6 =
  3. 3.37 × 6 =
  4. 4.12345679 × 54 =
  5. 5.12345679 × 36 =
  6. 6.1111 × 1111 =
  7. 7.37 × 12 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345 × 8 + 5 =
  10. 10.123456789 × 8 + 9 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 72 =
  13. 13.37 × 24 =
  14. 14.37 × 15 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 9 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 45 =
  19. 19.37 × 18 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 21 =
  22. 22.37 × 9 =
  23. 23.12345679 × 27 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 18 =
  26. 26.12345 × 9 + 6 =
  27. 27.111 × 111 =
  28. 28.12345678 × 8 + 8 =
  29. 29.37 × 3 =
  30. 30.37 × 27 =
  31. 31.12 × 9 + 3 =
  32. 32.12345678 × 9 + 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 63 =
  35. 35.1234 × 9 + 5 =
  36. 36.111111 × 111111 =
  37. 37.11 × 11 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 81 =
  40. 40.37 × 24 =

Answer key

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

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