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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 800 · 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. 2.12345679 × 36 =
  3. 3.123456 × 8 + 6 =
  4. 4.1234567 × 8 + 7 =
  5. 5.11 × 11 =
  6. 6.37 × 27 =
  7. 7.12345 × 8 + 5 =
  8. 8.111111 × 111111 =
  9. 9.37 × 6 =
  10. 10.37 × 18 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 15 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 24 =
  15. 15.1234 × 8 + 4 =
  16. 16.1111 × 1111 =
  17. 17.12345679 × 54 =
  18. 18.12345679 × 81 =
  19. 19.12345678 × 9 + 9 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 12 =
  22. 22.1234 × 9 + 5 =
  23. 23.12 × 9 + 3 =
  24. 24.12345 × 9 + 6 =
  25. 25.111 × 111 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 3 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 9 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 27 =
  32. 32.1234567 × 8 + 7 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 63 =
  35. 35.123456789 × 8 + 9 =
  36. 36.37 × 6 =
  37. 37.12345679 × 72 =
  38. 38.12345 × 9 + 6 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 9 =

Answer key

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

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