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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 715 · 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 × 63 =
  2. 2.11 × 11 =
  3. 3.37 × 12 =
  4. 4.37 × 9 =
  5. 5.12345679 × 18 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 21 =
  8. 8.37 × 24 =
  9. 9.12345679 × 72 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345678 × 9 + 9 =
  12. 12.123456789 × 8 + 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.37 × 6 =
  15. 15.11111 × 11111 =
  16. 16.12 × 9 + 3 =
  17. 17.111111 × 111111 =
  18. 18.37 × 15 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 9 =
  21. 21.37 × 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 27 =
  24. 24.111 × 111 =
  25. 25.12345 × 8 + 5 =
  26. 26.1234 × 9 + 5 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 36 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 81 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 27 =
  33. 33.37 × 18 =
  34. 34.123 × 8 + 3 =
  35. 35.123456 × 8 + 6 =
  36. 36.12 × 8 + 2 =
  37. 37.12345679 × 54 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 63 =

Answer key

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

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