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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 633 · 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 × 8 + 4 =
  2. 2.37 × 15 =
  3. 3.12345 × 9 + 6 =
  4. 4.37 × 3 =
  5. 5.37 × 12 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345678 × 9 + 9 =
  9. 9.1234567 × 9 + 8 =
  10. 10.37 × 18 =
  11. 11.111 × 111 =
  12. 12.37 × 21 =
  13. 13.12345679 × 9 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 72 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 81 =
  18. 18.37 × 9 =
  19. 19.123 × 8 + 3 =
  20. 20.123456789 × 8 + 9 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 27 =
  23. 23.1111 × 1111 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 36 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 45 =
  29. 29.12 × 9 + 3 =
  30. 30.12345 × 8 + 5 =
  31. 31.11 × 11 =
  32. 32.37 × 24 =
  33. 33.111111 × 111111 =
  34. 34.12345679 × 27 =
  35. 35.12345679 × 63 =
  36. 36.37 × 6 =
  37. 37.1234 × 9 + 5 =
  38. 38.37 × 12 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 36 =

Answer key

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

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