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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 972 · 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 × 24 =
  2. 2.12345679 × 18 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 9 =
  5. 5.12345679 × 27 =
  6. 6.111111 × 111111 =
  7. 7.11 × 11 =
  8. 8.12 × 9 + 3 =
  9. 9.12345679 × 36 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345678 × 8 + 8 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 72 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 63 =
  16. 16.123456789 × 8 + 9 =
  17. 17.123456 × 9 + 7 =
  18. 18.111 × 111 =
  19. 19.37 × 21 =
  20. 20.12 × 8 + 2 =
  21. 21.12345679 × 81 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 12 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 3 =
  26. 26.11111 × 11111 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 45 =
  29. 29.12345679 × 54 =
  30. 30.37 × 6 =
  31. 31.12345679 × 9 =
  32. 32.37 × 27 =
  33. 33.123 × 9 + 4 =
  34. 34.37 × 6 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1111 × 1111 =
  37. 37.37 × 18 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 21 =
  40. 40.11 × 11 =

Answer key

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

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