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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 940 · 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. 1.123 × 9 + 4 =
  2. 2.37 × 15 =
  3. 3.111111 × 111111 =
  4. 4.37 × 18 =
  5. 5.37 × 12 =
  6. 6.123 × 8 + 3 =
  7. 7.123456 × 9 + 7 =
  8. 8.12 × 9 + 3 =
  9. 9.12345678 × 9 + 9 =
  10. 10.1234 × 9 + 5 =
  11. 11.111 × 111 =
  12. 12.1234 × 8 + 4 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 63 =
  15. 15.12345679 × 72 =
  16. 16.1234567 × 8 + 7 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 18 =
  19. 19.37 × 3 =
  20. 20.37 × 21 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 36 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 24 =
  25. 25.1111 × 1111 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 27 =
  28. 28.12 × 8 + 2 =
  29. 29.123456789 × 8 + 9 =
  30. 30.37 × 9 =
  31. 31.37 × 3 =
  32. 32.12345 × 8 + 5 =
  33. 33.11 × 11 =
  34. 34.12345679 × 81 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 27 =
  37. 37.12345679 × 27 =
  38. 38.12345679 × 54 =
  39. 39.12345 × 9 + 6 =
  40. 40.37 × 6 =

Answer key

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

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