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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 470 · 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. 1.37 × 24 =
  2. 2.12345679 × 81 =
  3. 3.1111 × 1111 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 18 =
  6. 6.37 × 21 =
  7. 7.123 × 8 + 3 =
  8. 8.37 × 9 =
  9. 9.12345679 × 63 =
  10. 10.12345679 × 9 =
  11. 11.1234567 × 8 + 7 =
  12. 12.12345679 × 36 =
  13. 13.1234 × 8 + 4 =
  14. 14.37 × 3 =
  15. 15.37 × 6 =
  16. 16.123 × 9 + 4 =
  17. 17.12 × 8 + 2 =
  18. 18.11 × 11 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345678 × 9 + 9 =
  21. 21.11111 × 11111 =
  22. 22.12345679 × 27 =
  23. 23.37 × 12 =
  24. 24.12345678 × 8 + 8 =
  25. 25.111 × 111 =
  26. 26.12 × 9 + 3 =
  27. 27.12345679 × 72 =
  28. 28.12345679 × 54 =
  29. 29.37 × 15 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 54 =
  33. 33.1234 × 9 + 5 =
  34. 34.111111 × 111111 =
  35. 35.12345679 × 72 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 27 =
  38. 38.12345 × 9 + 6 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 18 =

Answer key

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

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