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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 125 · 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 × 12 =
  2. 2.123 × 9 + 4 =
  3. 3.12345678 × 9 + 9 =
  4. 4.123456 × 8 + 6 =
  5. 5.37 × 3 =
  6. 6.123456789 × 8 + 9 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 21 =
  9. 9.37 × 18 =
  10. 10.12345679 × 81 =
  11. 11.111111 × 111111 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 18 =
  14. 14.1234 × 9 + 5 =
  15. 15.37 × 9 =
  16. 16.37 × 15 =
  17. 17.1111 × 1111 =
  18. 18.37 × 24 =
  19. 19.111 × 111 =
  20. 20.12345679 × 45 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 36 =
  23. 23.12345679 × 9 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 6 =
  26. 26.12 × 9 + 3 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345679 × 72 =
  29. 29.11 × 11 =
  30. 30.1234567 × 8 + 7 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 36 =
  33. 33.12345 × 8 + 5 =
  34. 34.1234 × 8 + 4 =
  35. 35.37 × 27 =
  36. 36.12 × 9 + 3 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 15 =
  39. 39.12345 × 9 + 6 =
  40. 40.12345679 × 63 =

Answer key

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

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