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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 817 · 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. 1.12345679 × 36 =
  2. 2.123456789 × 8 + 9 =
  3. 3.37 × 15 =
  4. 4.111111 × 111111 =
  5. 5.12345 × 9 + 6 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 9 =
  8. 8.12345678 × 8 + 8 =
  9. 9.37 × 21 =
  10. 10.12345679 × 18 =
  11. 11.37 × 27 =
  12. 12.123456 × 8 + 6 =
  13. 13.12 × 8 + 2 =
  14. 14.11111 × 11111 =
  15. 15.37 × 18 =
  16. 16.12345 × 8 + 5 =
  17. 17.37 × 3 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 12 =
  20. 20.12345679 × 45 =
  21. 21.123 × 8 + 3 =
  22. 22.1111 × 1111 =
  23. 23.37 × 6 =
  24. 24.37 × 24 =
  25. 25.12345679 × 81 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1234567 × 8 + 7 =
  28. 28.1234567 × 9 + 8 =
  29. 29.11 × 11 =
  30. 30.12345679 × 54 =
  31. 31.111 × 111 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 63 =
  34. 34.123456789 × 8 + 9 =
  35. 35.123456 × 9 + 7 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 9 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 27 =

Answer key

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

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