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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 610 · 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. 1.123 × 8 + 3 =
  2. 2.1234567 × 9 + 8 =
  3. 3.1111 × 1111 =
  4. 4.37 × 24 =
  5. 5.12345679 × 45 =
  6. 6.12345679 × 81 =
  7. 7.12345679 × 54 =
  8. 8.37 × 27 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345679 × 36 =
  11. 11.11 × 11 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345678 × 9 + 9 =
  14. 14.111111 × 111111 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 21 =
  17. 17.37 × 6 =
  18. 18.12345679 × 9 =
  19. 19.11111 × 11111 =
  20. 20.123456 × 8 + 6 =
  21. 21.37 × 15 =
  22. 22.12345679 × 63 =
  23. 23.37 × 12 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 18 =
  26. 26.111 × 111 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 3 =
  29. 29.12345678 × 8 + 8 =
  30. 30.123 × 9 + 4 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 27 =
  33. 33.12 × 9 + 3 =
  34. 34.12345679 × 18 =
  35. 35.12345679 × 72 =
  36. 36.37 × 9 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 6 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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