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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 290 · 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. 2.1234 × 9 + 5 =
  3. 3.12345679 × 63 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 36 =
  6. 6.1234567 × 8 + 7 =
  7. 7.1111 × 1111 =
  8. 8.12345679 × 9 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 81 =
  11. 11.12345 × 9 + 6 =
  12. 12.37 × 21 =
  13. 13.12 × 8 + 2 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 6 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 27 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 72 =
  20. 20.123 × 8 + 3 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345679 × 54 =
  23. 23.111111 × 111111 =
  24. 24.37 × 15 =
  25. 25.11 × 11 =
  26. 26.37 × 3 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 18 =
  29. 29.37 × 9 =
  30. 30.111 × 111 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345679 × 63 =
  34. 34.111 × 111 =
  35. 35.37 × 6 =
  36. 36.37 × 27 =
  37. 37.37 × 24 =
  38. 38.37 × 24 =
  39. 39.12345678 × 8 + 8 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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