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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 516 · 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 × 72 =
  2. 2.12345679 × 27 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 63 =
  5. 5.12345678 × 8 + 8 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 9 =
  8. 8.12345 × 9 + 6 =
  9. 9.123456 × 8 + 6 =
  10. 10.12345679 × 45 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 9 + 7 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 21 =
  15. 15.37 × 3 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 18 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 18 =
  20. 20.11111 × 11111 =
  21. 21.111 × 111 =
  22. 22.37 × 12 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 54 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345 × 8 + 5 =
  27. 27.12345679 × 81 =
  28. 28.12345678 × 9 + 9 =
  29. 29.123456789 × 8 + 9 =
  30. 30.37 × 6 =
  31. 31.11 × 11 =
  32. 32.1234567 × 9 + 8 =
  33. 33.37 × 24 =
  34. 34.37 × 27 =
  35. 35.111 × 111 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 54 =
  38. 38.37 × 15 =
  39. 39.12345679 × 18 =
  40. 40.1111 × 1111 =

Answer key

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

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