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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 450 · 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. 1.12 × 9 + 3 =
  2. 2.12345679 × 36 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 12 =
  5. 5.111 × 111 =
  6. 6.1234567 × 9 + 8 =
  7. 7.37 × 27 =
  8. 8.12345679 × 45 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345679 × 27 =
  12. 12.12345679 × 54 =
  13. 13.111111 × 111111 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 9 =
  16. 16.37 × 3 =
  17. 17.37 × 6 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 63 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345678 × 9 + 9 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 72 =
  24. 24.37 × 24 =
  25. 25.123456 × 8 + 6 =
  26. 26.123 × 8 + 3 =
  27. 27.123456789 × 8 + 9 =
  28. 28.37 × 15 =
  29. 29.12345679 × 81 =
  30. 30.37 × 21 =
  31. 31.11 × 11 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 27 =
  34. 34.37 × 18 =
  35. 35.123 × 9 + 4 =
  36. 36.12 × 8 + 2 =
  37. 37.1234 × 9 + 5 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 15 =
  40. 40.12 × 8 + 2 =

Answer key

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

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