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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 15 · 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. 1.11111 × 11111 =
  2. 2.37 × 15 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 81 =
  5. 5.123456789 × 8 + 9 =
  6. 6.37 × 24 =
  7. 7.12345679 × 9 =
  8. 8.12 × 8 + 2 =
  9. 9.37 × 27 =
  10. 10.12 × 9 + 3 =
  11. 11.1111 × 1111 =
  12. 12.111 × 111 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 63 =
  15. 15.1234 × 8 + 4 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345 × 9 + 6 =
  18. 18.11 × 11 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345679 × 27 =
  21. 21.37 × 18 =
  22. 22.111111 × 111111 =
  23. 23.12345679 × 45 =
  24. 24.12345679 × 18 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 6 =
  27. 27.37 × 9 =
  28. 28.12345679 × 72 =
  29. 29.1234 × 9 + 5 =
  30. 30.37 × 12 =
  31. 31.12345678 × 9 + 9 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 21 =
  34. 34.12345679 × 54 =
  35. 35.1111 × 1111 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 36 =
  38. 38.37 × 18 =
  39. 39.37 × 27 =
  40. 40.12345679 × 54 =

Answer key

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

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