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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 146 · 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. 2.37 × 3 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 9 =
  5. 5.12345679 × 54 =
  6. 6.123456 × 9 + 7 =
  7. 7.12345679 × 63 =
  8. 8.37 × 18 =
  9. 9.111 × 111 =
  10. 10.12345678 × 9 + 9 =
  11. 11.11111 × 11111 =
  12. 12.1111 × 1111 =
  13. 13.111111 × 111111 =
  14. 14.11 × 11 =
  15. 15.37 × 15 =
  16. 16.37 × 24 =
  17. 17.12345679 × 36 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12 × 9 + 3 =
  20. 20.1234 × 9 + 5 =
  21. 21.123 × 8 + 3 =
  22. 22.123456 × 8 + 6 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 72 =
  25. 25.37 × 21 =
  26. 26.12 × 8 + 2 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 27 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345 × 8 + 5 =
  31. 31.1234 × 8 + 4 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 81 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 24 =
  36. 36.37 × 27 =
  37. 37.37 × 6 =
  38. 38.1234 × 9 + 5 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 27 =

Answer key

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

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