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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 702 · 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 × 9 + 3 =
  2. 2.12345679 × 72 =
  3. 3.12345678 × 9 + 9 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 81 =
  6. 6.12345678 × 8 + 8 =
  7. 7.123456789 × 8 + 9 =
  8. 8.37 × 21 =
  9. 9.1234567 × 8 + 7 =
  10. 10.123456 × 9 + 7 =
  11. 11.37 × 3 =
  12. 12.1111 × 1111 =
  13. 13.111 × 111 =
  14. 14.37 × 6 =
  15. 15.12345679 × 18 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 18 =
  18. 18.11 × 11 =
  19. 19.1234567 × 9 + 8 =
  20. 20.37 × 24 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 27 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 9 =
  25. 25.37 × 15 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 45 =
  28. 28.111111 × 111111 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 27 =
  31. 31.37 × 9 =
  32. 32.12345679 × 54 =
  33. 33.123456789 × 8 + 9 =
  34. 34.12345679 × 36 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 63 =
  37. 37.12345 × 9 + 6 =
  38. 38.11 × 11 =
  39. 39.123 × 8 + 3 =
  40. 40.12345 × 8 + 5 =

Answer key

  1. 111
  2. 888888888
  3. 111111111
  4. 123454321
  5. 999999999
  6. 98765432
  7. 987654321
  8. 777
  9. 9876543
  10. 1111111
  11. 111
  12. 1234321
  13. 12321
  14. 222
  15. 222222222
  16. 98
  17. 666
  18. 121
  19. 11111111
  20. 888
  21. 1111
  22. 999
  23. 11111
  24. 111111111
  25. 555
  26. 666666666
  27. 555555555
  28. 12345654321
  29. 9876
  30. 333333333
  31. 333
  32. 666666666
  33. 987654321
  34. 444444444
  35. 11111111
  36. 777777777
  37. 111111
  38. 121
  39. 987
  40. 98765

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