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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 590 · 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. 1.1234567 × 8 + 7 =
  2. 2.11111 × 11111 =
  3. 3.37 × 21 =
  4. 4.12 × 9 + 3 =
  5. 5.12345 × 8 + 5 =
  6. 6.12345679 × 63 =
  7. 7.123456 × 9 + 7 =
  8. 8.123 × 9 + 4 =
  9. 9.111111 × 111111 =
  10. 10.123456789 × 8 + 9 =
  11. 11.37 × 6 =
  12. 12.1111 × 1111 =
  13. 13.37 × 24 =
  14. 14.12345679 × 27 =
  15. 15.37 × 9 =
  16. 16.1234 × 9 + 5 =
  17. 17.12345678 × 9 + 9 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12 × 8 + 2 =
  20. 20.12345 × 9 + 6 =
  21. 21.11 × 11 =
  22. 22.111 × 111 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 72 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 15 =
  27. 27.12345678 × 8 + 8 =
  28. 28.37 × 18 =
  29. 29.12345679 × 9 =
  30. 30.37 × 27 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 36 =
  35. 35.12345679 × 45 =
  36. 36.37 × 12 =
  37. 37.11111 × 11111 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 24 =
  40. 40.12345679 × 18 =

Answer key

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

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