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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 850 · 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 × 9 =
  2. 2.12345679 × 36 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 45 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 72 =
  9. 9.12345678 × 8 + 8 =
  10. 10.1234 × 9 + 5 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 54 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 27 =
  15. 15.37 × 9 =
  16. 16.37 × 12 =
  17. 17.37 × 3 =
  18. 18.123456789 × 8 + 9 =
  19. 19.11 × 11 =
  20. 20.11111 × 11111 =
  21. 21.37 × 6 =
  22. 22.1111 × 1111 =
  23. 23.37 × 24 =
  24. 24.1234567 × 8 + 7 =
  25. 25.37 × 18 =
  26. 26.123 × 8 + 3 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 27 =
  29. 29.12 × 9 + 3 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 15 =
  32. 32.1234 × 8 + 4 =
  33. 33.111 × 111 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 27 =
  36. 36.37 × 21 =
  37. 37.12345679 × 18 =
  38. 38.12345679 × 63 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 9 =

Answer key

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

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