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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 659 · 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. 1.12345 × 8 + 5 =
  2. 2.12345 × 9 + 6 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 63 =
  6. 6.37 × 12 =
  7. 7.12345679 × 27 =
  8. 8.1234567 × 9 + 8 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12 × 9 + 3 =
  11. 11.12345679 × 45 =
  12. 12.111 × 111 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 36 =
  15. 15.37 × 15 =
  16. 16.12345679 × 54 =
  17. 17.12345679 × 72 =
  18. 18.1111 × 1111 =
  19. 19.111111 × 111111 =
  20. 20.37 × 6 =
  21. 21.11111 × 11111 =
  22. 22.12345679 × 18 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 9 =
  25. 25.11 × 11 =
  26. 26.123456 × 9 + 7 =
  27. 27.123456 × 8 + 6 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 27 =
  30. 30.12345679 × 81 =
  31. 31.37 × 9 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 21 =
  34. 34.12345678 × 8 + 8 =
  35. 35.11 × 11 =
  36. 36.1234 × 8 + 4 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 24 =
  39. 39.37 × 21 =
  40. 40.37 × 18 =

Answer key

  1. 98765
  2. 111111
  3. 111111111
  4. 98
  5. 777777777
  6. 444
  7. 333333333
  8. 11111111
  9. 987654321
  10. 111
  11. 555555555
  12. 12321
  13. 9876543
  14. 444444444
  15. 555
  16. 666666666
  17. 888888888
  18. 1234321
  19. 12345654321
  20. 222
  21. 123454321
  22. 222222222
  23. 1111
  24. 111111111
  25. 121
  26. 1111111
  27. 987654
  28. 11111
  29. 999
  30. 999999999
  31. 333
  32. 987
  33. 777
  34. 98765432
  35. 121
  36. 9876
  37. 1111
  38. 888
  39. 777
  40. 666

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