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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 430 · 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. 2.12345678 × 8 + 8 =
  3. 3.12345679 × 54 =
  4. 4.37 × 18 =
  5. 5.111 × 111 =
  6. 6.37 × 6 =
  7. 7.123 × 9 + 4 =
  8. 8.11 × 11 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 45 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345678 × 9 + 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 36 =
  15. 15.1111 × 1111 =
  16. 16.11111 × 11111 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12 × 8 + 2 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 9 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345 × 8 + 5 =
  23. 23.12 × 9 + 3 =
  24. 24.37 × 27 =
  25. 25.37 × 15 =
  26. 26.12345679 × 27 =
  27. 27.37 × 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 63 =
  30. 30.37 × 21 =
  31. 31.123456789 × 8 + 9 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 24 =
  34. 34.123 × 8 + 3 =
  35. 35.1111 × 1111 =
  36. 36.12345679 × 36 =
  37. 37.111111 × 111111 =
  38. 38.37 × 12 =
  39. 39.11 × 11 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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