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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 652 · 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. 1.12345679 × 63 =
  2. 2.37 × 15 =
  3. 3.12345679 × 18 =
  4. 4.11 × 11 =
  5. 5.37 × 3 =
  6. 6.1111 × 1111 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 81 =
  9. 9.1234 × 9 + 5 =
  10. 10.11111 × 11111 =
  11. 11.12345679 × 45 =
  12. 12.12 × 8 + 2 =
  13. 13.12345679 × 27 =
  14. 14.12345679 × 72 =
  15. 15.111111 × 111111 =
  16. 16.111 × 111 =
  17. 17.12345679 × 9 =
  18. 18.123456 × 9 + 7 =
  19. 19.12 × 9 + 3 =
  20. 20.123456789 × 8 + 9 =
  21. 21.37 × 21 =
  22. 22.12345679 × 36 =
  23. 23.37 × 24 =
  24. 24.37 × 9 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345678 × 8 + 8 =
  27. 27.123 × 9 + 4 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 27 =
  30. 30.37 × 6 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 54 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12345679 × 27 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 18 =
  38. 38.12345 × 8 + 5 =
  39. 39.37 × 12 =
  40. 40.12345679 × 18 =

Answer key

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

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