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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 128 · 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. 1.12345 × 8 + 5 =
  2. 2.12345679 × 9 =
  3. 3.37 × 12 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 18 =
  6. 6.1234 × 8 + 4 =
  7. 7.12345679 × 18 =
  8. 8.123 × 8 + 3 =
  9. 9.12 × 9 + 3 =
  10. 10.123456 × 8 + 6 =
  11. 11.11 × 11 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 15 =
  14. 14.111 × 111 =
  15. 15.12345679 × 81 =
  16. 16.123456789 × 8 + 9 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 27 =
  19. 19.1234567 × 9 + 8 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 36 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 3 =
  24. 24.37 × 24 =
  25. 25.37 × 27 =
  26. 26.37 × 21 =
  27. 27.12345679 × 45 =
  28. 28.12345 × 9 + 6 =
  29. 29.123 × 9 + 4 =
  30. 30.37 × 15 =
  31. 31.1111 × 1111 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 63 =
  34. 34.37 × 9 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345679 × 72 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 54 =
  39. 39.37 × 6 =
  40. 40.123 × 9 + 4 =

Answer key

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

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