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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 75 · 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 × 24 =
  2. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 18 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12 × 8 + 2 =
  6. 6.37 × 6 =
  7. 7.37 × 21 =
  8. 8.123456 × 9 + 7 =
  9. 9.37 × 27 =
  10. 10.37 × 18 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 27 =
  13. 13.11 × 11 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 63 =
  16. 16.1111 × 1111 =
  17. 17.111111 × 111111 =
  18. 18.12 × 9 + 3 =
  19. 19.111 × 111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123 × 8 + 3 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 45 =
  25. 25.12345 × 8 + 5 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 72 =
  28. 28.11111 × 11111 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 81 =
  31. 31.12345679 × 54 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 12 =
  34. 34.37 × 9 =
  35. 35.37 × 15 =
  36. 36.37 × 3 =
  37. 37.12345679 × 9 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345679 × 36 =
  40. 40.1234567 × 8 + 7 =

Answer key

  1. 888
  2. 98765432
  3. 222222222
  4. 987654321
  5. 98
  6. 222
  7. 777
  8. 1111111
  9. 999
  10. 666
  11. 1111
  12. 333333333
  13. 121
  14. 9876
  15. 777777777
  16. 1234321
  17. 12345654321
  18. 111
  19. 12321
  20. 111111111
  21. 987
  22. 987654
  23. 111111111
  24. 555555555
  25. 98765
  26. 11111111
  27. 888888888
  28. 123454321
  29. 123454321
  30. 999999999
  31. 666666666
  32. 111111
  33. 444
  34. 333
  35. 555
  36. 111
  37. 111111111
  38. 11111
  39. 444444444
  40. 9876543

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