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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 220 · 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. 1.12345679 × 18 =
  2. 2.12345678 × 9 + 9 =
  3. 3.1234567 × 8 + 7 =
  4. 4.111111 × 111111 =
  5. 5.37 × 21 =
  6. 6.37 × 15 =
  7. 7.37 × 9 =
  8. 8.12345679 × 27 =
  9. 9.12345679 × 81 =
  10. 10.123456 × 8 + 6 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 6 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 36 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 9 =
  17. 17.1111 × 1111 =
  18. 18.11 × 11 =
  19. 19.1234 × 8 + 4 =
  20. 20.37 × 3 =
  21. 21.37 × 24 =
  22. 22.37 × 18 =
  23. 23.123 × 8 + 3 =
  24. 24.1234 × 9 + 5 =
  25. 25.111 × 111 =
  26. 26.12 × 8 + 2 =
  27. 27.37 × 27 =
  28. 28.12345679 × 72 =
  29. 29.123 × 9 + 4 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 54 =
  33. 33.123456789 × 8 + 9 =
  34. 34.11111 × 11111 =
  35. 35.12 × 9 + 3 =
  36. 36.12345679 × 63 =
  37. 37.37 × 12 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 45 =
  40. 40.37 × 21 =

Answer key

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

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