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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 131 · 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 × 6 =
  2. 2.1234 × 8 + 4 =
  3. 3.12345679 × 72 =
  4. 4.37 × 9 =
  5. 5.37 × 3 =
  6. 6.123456789 × 8 + 9 =
  7. 7.111 × 111 =
  8. 8.37 × 21 =
  9. 9.1234567 × 9 + 8 =
  10. 10.123 × 9 + 4 =
  11. 11.11111 × 11111 =
  12. 12.12345679 × 81 =
  13. 13.11 × 11 =
  14. 14.1111 × 1111 =
  15. 15.1234 × 9 + 5 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 18 =
  19. 19.37 × 18 =
  20. 20.12345679 × 27 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 63 =
  23. 23.12 × 9 + 3 =
  24. 24.12345679 × 36 =
  25. 25.111111 × 111111 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1234567 × 8 + 7 =
  28. 28.37 × 12 =
  29. 29.37 × 24 =
  30. 30.12 × 9 + 3 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 54 =
  33. 33.123 × 8 + 3 =
  34. 34.37 × 27 =
  35. 35.123456 × 8 + 6 =
  36. 36.37 × 15 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 24 =
  39. 39.12345678 × 9 + 9 =
  40. 40.123456789 × 8 + 9 =

Answer key

  1. 222
  2. 9876
  3. 888888888
  4. 333
  5. 111
  6. 987654321
  7. 12321
  8. 777
  9. 11111111
  10. 1111
  11. 123454321
  12. 999999999
  13. 121
  14. 1234321
  15. 11111
  16. 98765432
  17. 111111
  18. 222222222
  19. 666
  20. 333333333
  21. 98
  22. 777777777
  23. 111
  24. 444444444
  25. 12345654321
  26. 111111111
  27. 9876543
  28. 444
  29. 888
  30. 111
  31. 1111111
  32. 666666666
  33. 987
  34. 999
  35. 987654
  36. 555
  37. 98765
  38. 888
  39. 111111111
  40. 987654321

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