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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 492 · 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. 1.37 × 12 =
  2. 2.12 × 9 + 3 =
  3. 3.12345679 × 45 =
  4. 4.11111 × 11111 =
  5. 5.37 × 9 =
  6. 6.123 × 9 + 4 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 63 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345679 × 27 =
  12. 12.11 × 11 =
  13. 13.111 × 111 =
  14. 14.12345679 × 81 =
  15. 15.123 × 8 + 3 =
  16. 16.111111 × 111111 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 24 =
  19. 19.12345679 × 18 =
  20. 20.1111 × 1111 =
  21. 21.37 × 3 =
  22. 22.37 × 21 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 18 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 54 =
  27. 27.12345 × 9 + 6 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 15 =
  30. 30.12345679 × 36 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 72 =
  34. 34.37 × 6 =
  35. 35.12345679 × 9 =
  36. 36.37 × 27 =
  37. 37.37 × 21 =
  38. 38.1234 × 9 + 5 =
  39. 39.37 × 6 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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