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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 710 · 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. 1.12 × 9 + 3 =
  2. 2.37 × 15 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 36 =
  5. 5.37 × 21 =
  6. 6.12345679 × 81 =
  7. 7.11 × 11 =
  8. 8.123456789 × 8 + 9 =
  9. 9.37 × 18 =
  10. 10.1111 × 1111 =
  11. 11.123 × 8 + 3 =
  12. 12.111 × 111 =
  13. 13.37 × 9 =
  14. 14.37 × 27 =
  15. 15.37 × 3 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 54 =
  18. 18.123456 × 8 + 6 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 27 =
  21. 21.123 × 9 + 4 =
  22. 22.111111 × 111111 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345678 × 9 + 9 =
  25. 25.12345679 × 9 =
  26. 26.12345679 × 18 =
  27. 27.12345678 × 8 + 8 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 6 =
  30. 30.12345 × 8 + 5 =
  31. 31.111111 × 111111 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345679 × 72 =
  35. 35.12 × 8 + 2 =
  36. 36.1111 × 1111 =
  37. 37.37 × 12 =
  38. 38.37 × 24 =
  39. 39.12345679 × 81 =
  40. 40.123 × 8 + 3 =

Answer key

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

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