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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 931 · 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. 1.37 × 27 =
  2. 2.123456 × 8 + 6 =
  3. 3.12345678 × 9 + 9 =
  4. 4.123456789 × 8 + 9 =
  5. 5.1234567 × 8 + 7 =
  6. 6.11111 × 11111 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 81 =
  9. 9.37 × 21 =
  10. 10.12345679 × 72 =
  11. 11.37 × 18 =
  12. 12.12345679 × 63 =
  13. 13.12345 × 8 + 5 =
  14. 14.11 × 11 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 54 =
  18. 18.37 × 24 =
  19. 19.12345679 × 45 =
  20. 20.37 × 9 =
  21. 21.37 × 15 =
  22. 22.123 × 8 + 3 =
  23. 23.123 × 9 + 4 =
  24. 24.12 × 9 + 3 =
  25. 25.1234 × 9 + 5 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 3 =
  28. 28.12345679 × 36 =
  29. 29.123456 × 9 + 7 =
  30. 30.1234 × 8 + 4 =
  31. 31.1111 × 1111 =
  32. 32.37 × 6 =
  33. 33.37 × 12 =
  34. 34.12345679 × 63 =
  35. 35.1234567 × 9 + 8 =
  36. 36.111 × 111 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 27 =
  39. 39.111 × 111 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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