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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 61 · 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. 2.11 × 11 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 15 =
  5. 5.37 × 24 =
  6. 6.37 × 27 =
  7. 7.12 × 8 + 2 =
  8. 8.1234 × 8 + 4 =
  9. 9.123 × 8 + 3 =
  10. 10.111111 × 111111 =
  11. 11.123456 × 9 + 7 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 81 =
  15. 15.12345679 × 63 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 27 =
  19. 19.37 × 21 =
  20. 20.37 × 18 =
  21. 21.1234567 × 8 + 7 =
  22. 22.11111 × 11111 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 45 =
  25. 25.37 × 9 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 9 =
  28. 28.1111 × 1111 =
  29. 29.37 × 3 =
  30. 30.12345679 × 36 =
  31. 31.12 × 9 + 3 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 54 =
  35. 35.1111 × 1111 =
  36. 36.12 × 9 + 3 =
  37. 37.123456 × 8 + 6 =
  38. 38.12 × 8 + 2 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 9 =

Answer key

  1. 444
  2. 121
  3. 111111111
  4. 555
  5. 888
  6. 999
  7. 98
  8. 9876
  9. 987
  10. 12345654321
  11. 1111111
  12. 11111
  13. 888888888
  14. 999999999
  15. 777777777
  16. 987654321
  17. 111111
  18. 333333333
  19. 777
  20. 666
  21. 9876543
  22. 123454321
  23. 98765
  24. 555555555
  25. 333
  26. 1111
  27. 111111111
  28. 1234321
  29. 111
  30. 444444444
  31. 111
  32. 98765432
  33. 222222222
  34. 666666666
  35. 1234321
  36. 111
  37. 987654
  38. 98
  39. 11111111
  40. 333

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