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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 119 · 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. 1.12 × 8 + 2 =
  2. 2.37 × 15 =
  3. 3.12345679 × 63 =
  4. 4.12 × 9 + 3 =
  5. 5.111 × 111 =
  6. 6.12345 × 9 + 6 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 54 =
  10. 10.1234 × 9 + 5 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 27 =
  13. 13.37 × 3 =
  14. 14.123456789 × 8 + 9 =
  15. 15.111111 × 111111 =
  16. 16.12345679 × 81 =
  17. 17.123 × 8 + 3 =
  18. 18.11 × 11 =
  19. 19.37 × 27 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 18 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 45 =
  24. 24.37 × 9 =
  25. 25.12345679 × 18 =
  26. 26.37 × 6 =
  27. 27.11111 × 11111 =
  28. 28.37 × 3 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 36 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345679 × 72 =
  33. 33.12345 × 8 + 5 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 12 =
  36. 36.123 × 9 + 4 =
  37. 37.11 × 11 =
  38. 38.37 × 27 =
  39. 39.1234 × 8 + 4 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 98
  2. 555
  3. 777777777
  4. 111
  5. 12321
  6. 111111
  7. 1111111
  8. 111111111
  9. 666666666
  10. 11111
  11. 1234321
  12. 333333333
  13. 111
  14. 987654321
  15. 12345654321
  16. 999999999
  17. 987
  18. 121
  19. 999
  20. 98765432
  21. 666
  22. 111111111
  23. 555555555
  24. 333
  25. 222222222
  26. 222
  27. 123454321
  28. 111
  29. 9876
  30. 444444444
  31. 11111111
  32. 888888888
  33. 98765
  34. 9876543
  35. 444
  36. 1111
  37. 121
  38. 999
  39. 9876
  40. 987654

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