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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 690 · 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. 2.12345 × 8 + 5 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 21 =
  5. 5.12345 × 9 + 6 =
  6. 6.12345679 × 54 =
  7. 7.37 × 9 =
  8. 8.12345678 × 9 + 9 =
  9. 9.37 × 15 =
  10. 10.12345679 × 63 =
  11. 11.123456789 × 8 + 9 =
  12. 12.11 × 11 =
  13. 13.12345679 × 81 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 18 =
  16. 16.12345678 × 8 + 8 =
  17. 17.37 × 6 =
  18. 18.1111 × 1111 =
  19. 19.37 × 3 =
  20. 20.1234567 × 9 + 8 =
  21. 21.1234567 × 8 + 7 =
  22. 22.111 × 111 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 9 =
  26. 26.11111 × 11111 =
  27. 27.37 × 18 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 27 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 36 =
  32. 32.37 × 12 =
  33. 33.12 × 8 + 2 =
  34. 34.12345679 × 72 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 27 =
  37. 37.12345679 × 18 =
  38. 38.37 × 24 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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