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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 537 · 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. 1.12345679 × 9 =
  2. 2.12345678 × 8 + 8 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 54 =
  5. 5.37 × 24 =
  6. 6.37 × 12 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 27 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 9 =
  11. 11.11111 × 11111 =
  12. 12.37 × 6 =
  13. 13.12345679 × 36 =
  14. 14.12 × 9 + 3 =
  15. 15.111 × 111 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 63 =
  19. 19.11 × 11 =
  20. 20.12345679 × 72 =
  21. 21.37 × 21 =
  22. 22.111111 × 111111 =
  23. 23.1111 × 1111 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 27 =
  26. 26.12 × 8 + 2 =
  27. 27.37 × 3 =
  28. 28.1234567 × 9 + 8 =
  29. 29.123456 × 8 + 6 =
  30. 30.1234567 × 8 + 7 =
  31. 31.123 × 8 + 3 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 18 =
  35. 35.37 × 15 =
  36. 36.12345679 × 18 =
  37. 37.12345679 × 63 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 45 =
  40. 40.12 × 9 + 3 =

Answer key

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

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