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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 763 · 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 × 8 + 6 =
  2. 2.123 × 8 + 3 =
  3. 3.12 × 8 + 2 =
  4. 4.1111 × 1111 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 27 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345679 × 72 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 36 =
  11. 11.12 × 9 + 3 =
  12. 12.111 × 111 =
  13. 13.37 × 21 =
  14. 14.11111 × 11111 =
  15. 15.11 × 11 =
  16. 16.123 × 9 + 4 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 9 =
  19. 19.1234567 × 8 + 7 =
  20. 20.37 × 3 =
  21. 21.12345679 × 54 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 63 =
  24. 24.37 × 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 45 =
  27. 27.12345678 × 8 + 8 =
  28. 28.37 × 18 =
  29. 29.37 × 12 =
  30. 30.37 × 27 =
  31. 31.12345679 × 9 =
  32. 32.37 × 24 =
  33. 33.12345679 × 81 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 15 =
  36. 36.37 × 9 =
  37. 37.12345679 × 18 =
  38. 38.12345679 × 72 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 81 =

Answer key

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

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