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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 132 · 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 × 8 + 2 =
  2. 2.11111 × 11111 =
  3. 3.37 × 12 =
  4. 4.123456 × 9 + 7 =
  5. 5.111111 × 111111 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345679 × 72 =
  8. 8.37 × 3 =
  9. 9.37 × 9 =
  10. 10.1234 × 9 + 5 =
  11. 11.12345679 × 27 =
  12. 12.1111 × 1111 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345678 × 8 + 8 =
  15. 15.11 × 11 =
  16. 16.37 × 21 =
  17. 17.12345 × 9 + 6 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 81 =
  20. 20.37 × 27 =
  21. 21.12345679 × 63 =
  22. 22.12345679 × 9 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 18 =
  25. 25.37 × 18 =
  26. 26.111 × 111 =
  27. 27.12345679 × 45 =
  28. 28.37 × 24 =
  29. 29.123 × 9 + 4 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 54 =
  32. 32.11 × 11 =
  33. 33.12345679 × 36 =
  34. 34.11 × 11 =
  35. 35.12345 × 9 + 6 =
  36. 36.1234567 × 9 + 8 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 3 =
  39. 39.37 × 12 =
  40. 40.37 × 12 =

Answer key

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

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