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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 87 · 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. 1.12345678 × 9 + 9 =
  2. 2.1234567 × 9 + 8 =
  3. 3.12 × 9 + 3 =
  4. 4.123456 × 8 + 6 =
  5. 5.37 × 24 =
  6. 6.12345 × 8 + 5 =
  7. 7.37 × 27 =
  8. 8.11 × 11 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 9 =
  11. 11.111 × 111 =
  12. 12.12345 × 9 + 6 =
  13. 13.123 × 9 + 4 =
  14. 14.11111 × 11111 =
  15. 15.37 × 18 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 18 =
  18. 18.37 × 15 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345679 × 36 =
  21. 21.37 × 21 =
  22. 22.1234 × 8 + 4 =
  23. 23.1111 × 1111 =
  24. 24.37 × 3 =
  25. 25.12 × 8 + 2 =
  26. 26.123456789 × 8 + 9 =
  27. 27.123456 × 9 + 7 =
  28. 28.111111 × 111111 =
  29. 29.37 × 9 =
  30. 30.12345678 × 8 + 8 =
  31. 31.37 × 6 =
  32. 32.12345679 × 54 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 63 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 81 =
  38. 38.37 × 15 =
  39. 39.37 × 12 =
  40. 40.37 × 24 =

Answer key

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

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