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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 90 · 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. 1.12345678 × 8 + 8 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 24 =
  4. 4.1234567 × 8 + 7 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345679 × 63 =
  7. 7.37 × 27 =
  8. 8.123 × 9 + 4 =
  9. 9.123456 × 9 + 7 =
  10. 10.37 × 6 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 9 =
  13. 13.111 × 111 =
  14. 14.12345679 × 9 =
  15. 15.123 × 8 + 3 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 12 =
  18. 18.12345678 × 9 + 9 =
  19. 19.37 × 15 =
  20. 20.37 × 18 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 18 =
  23. 23.11 × 11 =
  24. 24.37 × 21 =
  25. 25.37 × 3 =
  26. 26.12345679 × 27 =
  27. 27.11111 × 11111 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 36 =
  30. 30.12345679 × 45 =
  31. 31.12345679 × 81 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12 × 9 + 3 =
  34. 34.12345 × 8 + 5 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345679 × 54 =
  37. 37.111111 × 111111 =
  38. 38.12345 × 9 + 6 =
  39. 39.12345679 × 36 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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