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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 756 · 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. 1.12345678 × 8 + 8 =
  2. 2.123456 × 9 + 7 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 27 =
  5. 5.123 × 8 + 3 =
  6. 6.111 × 111 =
  7. 7.37 × 24 =
  8. 8.123456789 × 8 + 9 =
  9. 9.11 × 11 =
  10. 10.111111 × 111111 =
  11. 11.37 × 3 =
  12. 12.12345679 × 18 =
  13. 13.11111 × 11111 =
  14. 14.37 × 27 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 18 =
  17. 17.12345679 × 54 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1234567 × 8 + 7 =
  20. 20.37 × 12 =
  21. 21.12345679 × 36 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345 × 9 + 6 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 72 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 45 =
  28. 28.37 × 6 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 81 =
  31. 31.37 × 15 =
  32. 32.11111 × 11111 =
  33. 33.111111 × 111111 =
  34. 34.1234 × 8 + 4 =
  35. 35.1111 × 1111 =
  36. 36.37 × 21 =
  37. 37.11111 × 11111 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 9 =

Answer key

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

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