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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 644 · 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. 1.12345679 × 72 =
  2. 2.11111 × 11111 =
  3. 3.1234 × 9 + 5 =
  4. 4.12 × 9 + 3 =
  5. 5.111111 × 111111 =
  6. 6.37 × 18 =
  7. 7.12345679 × 27 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345678 × 8 + 8 =
  10. 10.12345679 × 18 =
  11. 11.1234567 × 8 + 7 =
  12. 12.12345 × 8 + 5 =
  13. 13.111 × 111 =
  14. 14.12345678 × 9 + 9 =
  15. 15.11 × 11 =
  16. 16.37 × 12 =
  17. 17.123456789 × 8 + 9 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345679 × 36 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 3 =
  22. 22.37 × 24 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 81 =
  26. 26.1234 × 9 + 5 =
  27. 27.12345 × 9 + 6 =
  28. 28.12 × 8 + 2 =
  29. 29.12345679 × 63 =
  30. 30.37 × 6 =
  31. 31.123 × 8 + 3 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 54 =
  34. 34.37 × 21 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 15 =
  37. 37.37 × 9 =
  38. 38.1111 × 1111 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 3 =

Answer key

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

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