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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 703 · 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 × 21 =
  2. 2.12345678 × 8 + 8 =
  3. 3.37 × 6 =
  4. 4.12345679 × 72 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 9 =
  7. 7.123456 × 9 + 7 =
  8. 8.12 × 8 + 2 =
  9. 9.11 × 11 =
  10. 10.111 × 111 =
  11. 11.12345 × 8 + 5 =
  12. 12.37 × 3 =
  13. 13.12345678 × 9 + 9 =
  14. 14.37 × 27 =
  15. 15.12345679 × 54 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 27 =
  19. 19.1234 × 9 + 5 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 63 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 81 =
  24. 24.37 × 18 =
  25. 25.1234 × 8 + 4 =
  26. 26.111111 × 111111 =
  27. 27.11111 × 11111 =
  28. 28.123456789 × 8 + 9 =
  29. 29.37 × 24 =
  30. 30.37 × 9 =
  31. 31.37 × 12 =
  32. 32.37 × 24 =
  33. 33.12345 × 9 + 6 =
  34. 34.37 × 15 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 27 =
  37. 37.12345679 × 36 =
  38. 38.1234567 × 9 + 8 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 21 =

Answer key

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

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