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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 94 · 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. 1.1234 × 9 + 5 =
  2. 2.37 × 12 =
  3. 3.12345679 × 45 =
  4. 4.1111 × 1111 =
  5. 5.37 × 3 =
  6. 6.37 × 21 =
  7. 7.123456789 × 8 + 9 =
  8. 8.37 × 9 =
  9. 9.123456 × 9 + 7 =
  10. 10.11111 × 11111 =
  11. 11.12345679 × 72 =
  12. 12.12345 × 8 + 5 =
  13. 13.111 × 111 =
  14. 14.123 × 9 + 4 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 27 =
  17. 17.12 × 9 + 3 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 6 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 63 =
  23. 23.12345678 × 8 + 8 =
  24. 24.11 × 11 =
  25. 25.37 × 24 =
  26. 26.12345679 × 9 =
  27. 27.123 × 8 + 3 =
  28. 28.37 × 15 =
  29. 29.12345679 × 18 =
  30. 30.12345679 × 36 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345679 × 54 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 18 =
  35. 35.1234567 × 8 + 7 =
  36. 36.111111 × 111111 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 27 =
  39. 39.123456 × 8 + 6 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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