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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 757 · 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 × 8 + 2 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 27 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 9 =
  6. 6.37 × 6 =
  7. 7.111 × 111 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345679 × 18 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345678 × 9 + 9 =
  12. 12.37 × 12 =
  13. 13.37 × 3 =
  14. 14.12345679 × 63 =
  15. 15.37 × 15 =
  16. 16.12345679 × 72 =
  17. 17.37 × 21 =
  18. 18.12345679 × 45 =
  19. 19.37 × 24 =
  20. 20.11111 × 11111 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 18 =
  23. 23.123 × 9 + 4 =
  24. 24.1234 × 8 + 4 =
  25. 25.1234 × 9 + 5 =
  26. 26.111111 × 111111 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456789 × 8 + 9 =
  29. 29.123 × 8 + 3 =
  30. 30.1234567 × 9 + 8 =
  31. 31.123456 × 8 + 6 =
  32. 32.37 × 27 =
  33. 33.37 × 9 =
  34. 34.11 × 11 =
  35. 35.12345679 × 18 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 81 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 18 =

Answer key

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

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