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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 534 · 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. 2.37 × 15 =
  3. 3.37 × 9 =
  4. 4.37 × 3 =
  5. 5.37 × 12 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 24 =
  8. 8.37 × 6 =
  9. 9.123456789 × 8 + 9 =
  10. 10.11 × 11 =
  11. 11.12345679 × 36 =
  12. 12.12345679 × 9 =
  13. 13.37 × 18 =
  14. 14.37 × 21 =
  15. 15.37 × 27 =
  16. 16.111 × 111 =
  17. 17.12345679 × 27 =
  18. 18.12345679 × 63 =
  19. 19.123 × 9 + 4 =
  20. 20.123 × 8 + 3 =
  21. 21.11111 × 11111 =
  22. 22.12345 × 8 + 5 =
  23. 23.1234 × 8 + 4 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345679 × 54 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345678 × 8 + 8 =
  29. 29.123456 × 9 + 7 =
  30. 30.1111 × 1111 =
  31. 31.111111 × 111111 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 45 =
  34. 34.12345679 × 72 =
  35. 35.123456 × 8 + 6 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345 × 9 + 6 =
  39. 39.12 × 8 + 2 =
  40. 40.11 × 11 =

Answer key

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

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