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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 310 · 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. 1.123456789 × 8 + 9 =
  2. 2.12345679 × 72 =
  3. 3.12345678 × 8 + 8 =
  4. 4.37 × 6 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 9 =
  7. 7.12345679 × 63 =
  8. 8.12 × 8 + 2 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 9 =
  11. 11.12345679 × 36 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 45 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 15 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 18 =
  18. 18.111111 × 111111 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 24 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345679 × 54 =
  23. 23.37 × 12 =
  24. 24.11 × 11 =
  25. 25.12345679 × 81 =
  26. 26.111 × 111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 18 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 27 =
  32. 32.37 × 27 =
  33. 33.123 × 8 + 3 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 3 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 24 =
  38. 38.1234567 × 8 + 7 =
  39. 39.37 × 3 =
  40. 40.12345679 × 18 =

Answer key

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

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