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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 716 · 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. 1.123456 × 9 + 7 =
  2. 2.37 × 6 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 12 =
  5. 5.12345 × 8 + 5 =
  6. 6.1111 × 1111 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 63 =
  9. 9.111 × 111 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 21 =
  12. 12.37 × 3 =
  13. 13.11111 × 11111 =
  14. 14.123 × 9 + 4 =
  15. 15.11 × 11 =
  16. 16.12345678 × 9 + 9 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 9 =
  19. 19.123456 × 8 + 6 =
  20. 20.12345679 × 81 =
  21. 21.37 × 9 =
  22. 22.12345679 × 45 =
  23. 23.123 × 8 + 3 =
  24. 24.111111 × 111111 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 54 =
  27. 27.12 × 9 + 3 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 36 =
  30. 30.37 × 9 =
  31. 31.37 × 24 =
  32. 32.12345 × 9 + 6 =
  33. 33.37 × 15 =
  34. 34.12345679 × 18 =
  35. 35.1234 × 9 + 5 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12345678 × 8 + 8 =
  38. 38.37 × 18 =
  39. 39.12345679 × 27 =
  40. 40.37 × 27 =

Answer key

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

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