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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 232 · 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. 1.123 × 8 + 3 =
  2. 2.123456 × 8 + 6 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1111 × 1111 =
  6. 6.37 × 3 =
  7. 7.12345679 × 72 =
  8. 8.1234567 × 8 + 7 =
  9. 9.1234 × 9 + 5 =
  10. 10.123 × 9 + 4 =
  11. 11.11 × 11 =
  12. 12.37 × 12 =
  13. 13.12345679 × 18 =
  14. 14.12 × 9 + 3 =
  15. 15.123456789 × 8 + 9 =
  16. 16.111111 × 111111 =
  17. 17.37 × 6 =
  18. 18.1234567 × 9 + 8 =
  19. 19.37 × 27 =
  20. 20.37 × 9 =
  21. 21.111 × 111 =
  22. 22.37 × 18 =
  23. 23.11111 × 11111 =
  24. 24.12345679 × 81 =
  25. 25.12345679 × 45 =
  26. 26.37 × 21 =
  27. 27.1234 × 8 + 4 =
  28. 28.12345679 × 36 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 27 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345679 × 63 =
  33. 33.12345679 × 54 =
  34. 34.37 × 15 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 9 =
  37. 37.12345 × 9 + 6 =
  38. 38.12 × 8 + 2 =
  39. 39.11111 × 11111 =
  40. 40.123456 × 8 + 6 =

Answer key

  1. 987
  2. 987654
  3. 1111111
  4. 111111111
  5. 1234321
  6. 111
  7. 888888888
  8. 9876543
  9. 11111
  10. 1111
  11. 121
  12. 444
  13. 222222222
  14. 111
  15. 987654321
  16. 12345654321
  17. 222
  18. 11111111
  19. 999
  20. 333
  21. 12321
  22. 666
  23. 123454321
  24. 999999999
  25. 555555555
  26. 777
  27. 9876
  28. 444444444
  29. 98765432
  30. 333333333
  31. 98765
  32. 777777777
  33. 666666666
  34. 555
  35. 12345654321
  36. 111111111
  37. 111111
  38. 98
  39. 123454321
  40. 987654

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