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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 623 · 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. 1.123456 × 9 + 7 =
  2. 2.37 × 9 =
  3. 3.12 × 9 + 3 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 27 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 21 =
  8. 8.37 × 3 =
  9. 9.12345679 × 54 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 9 =
  12. 12.37 × 6 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 45 =
  15. 15.12345679 × 36 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 63 =
  20. 20.12345 × 8 + 5 =
  21. 21.11111 × 11111 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345 × 9 + 6 =
  24. 24.37 × 15 =
  25. 25.111111 × 111111 =
  26. 26.1111 × 1111 =
  27. 27.37 × 12 =
  28. 28.37 × 18 =
  29. 29.1234 × 8 + 4 =
  30. 30.1234 × 9 + 5 =
  31. 31.11111 × 11111 =
  32. 32.12345679 × 81 =
  33. 33.1234567 × 9 + 8 =
  34. 34.11 × 11 =
  35. 35.123456789 × 8 + 9 =
  36. 36.111 × 111 =
  37. 37.37 × 24 =
  38. 38.12345679 × 36 =
  39. 39.12345678 × 8 + 8 =
  40. 40.123 × 9 + 4 =

Answer key

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

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