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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 949 · 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 × 15 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345679 × 36 =
  4. 4.111 × 111 =
  5. 5.12345679 × 54 =
  6. 6.37 × 27 =
  7. 7.37 × 12 =
  8. 8.37 × 21 =
  9. 9.12 × 8 + 2 =
  10. 10.1234567 × 9 + 8 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 63 =
  13. 13.37 × 18 =
  14. 14.12 × 9 + 3 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345679 × 9 =
  17. 17.12345679 × 18 =
  18. 18.123 × 8 + 3 =
  19. 19.123456 × 9 + 7 =
  20. 20.1234 × 9 + 5 =
  21. 21.37 × 9 =
  22. 22.37 × 3 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345 × 8 + 5 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 45 =
  27. 27.11 × 11 =
  28. 28.1234567 × 8 + 7 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345679 × 72 =
  31. 31.37 × 21 =
  32. 32.12345679 × 81 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 27 =
  35. 35.123456789 × 8 + 9 =
  36. 36.11111 × 11111 =
  37. 37.1111 × 1111 =
  38. 38.37 × 6 =
  39. 39.37 × 27 =
  40. 40.12345679 × 9 =

Answer key

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

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