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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 152 · 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. 1.111111 × 111111 =
  2. 2.12 × 9 + 3 =
  3. 3.1234567 × 9 + 8 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 21 =
  6. 6.12345679 × 27 =
  7. 7.37 × 12 =
  8. 8.37 × 9 =
  9. 9.12345 × 9 + 6 =
  10. 10.11111 × 11111 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 24 =
  13. 13.1234567 × 8 + 7 =
  14. 14.11 × 11 =
  15. 15.1111 × 1111 =
  16. 16.12345 × 8 + 5 =
  17. 17.37 × 27 =
  18. 18.12345679 × 45 =
  19. 19.37 × 18 =
  20. 20.123 × 9 + 4 =
  21. 21.111 × 111 =
  22. 22.12 × 8 + 2 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 6 =
  25. 25.12345679 × 63 =
  26. 26.12345678 × 9 + 9 =
  27. 27.37 × 3 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 72 =
  31. 31.37 × 15 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 54 =
  36. 36.123456 × 9 + 7 =
  37. 37.1234 × 9 + 5 =
  38. 38.123456789 × 8 + 9 =
  39. 39.123 × 8 + 3 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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