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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 811 · 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. 1.123456 × 9 + 7 =
  2. 2.12345 × 9 + 6 =
  3. 3.12345679 × 45 =
  4. 4.123456789 × 8 + 9 =
  5. 5.37 × 6 =
  6. 6.1234 × 9 + 5 =
  7. 7.37 × 3 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 15 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345679 × 63 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 27 =
  14. 14.123 × 9 + 4 =
  15. 15.37 × 27 =
  16. 16.11 × 11 =
  17. 17.12345 × 8 + 5 =
  18. 18.111111 × 111111 =
  19. 19.123 × 8 + 3 =
  20. 20.111 × 111 =
  21. 21.12345679 × 54 =
  22. 22.12 × 8 + 2 =
  23. 23.37 × 12 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 21 =
  26. 26.123456 × 8 + 6 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 81 =
  30. 30.37 × 18 =
  31. 31.12345679 × 72 =
  32. 32.12345679 × 9 =
  33. 33.1111 × 1111 =
  34. 34.11111 × 11111 =
  35. 35.37 × 9 =
  36. 36.1234 × 8 + 4 =
  37. 37.11 × 11 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 18 =
  40. 40.37 × 24 =

Answer key

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

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