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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 83 · 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 × 18 =
  2. 2.12345679 × 63 =
  3. 3.12345679 × 72 =
  4. 4.123456 × 8 + 6 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345679 × 36 =
  7. 7.123456 × 9 + 7 =
  8. 8.123 × 8 + 3 =
  9. 9.123 × 9 + 4 =
  10. 10.37 × 3 =
  11. 11.111 × 111 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 81 =
  14. 14.12345 × 8 + 5 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 27 =
  17. 17.1234 × 9 + 5 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 15 =
  20. 20.37 × 27 =
  21. 21.37 × 12 =
  22. 22.37 × 21 =
  23. 23.1234567 × 8 + 7 =
  24. 24.37 × 9 =
  25. 25.11 × 11 =
  26. 26.37 × 6 =
  27. 27.12345679 × 54 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 27 =
  30. 30.11111 × 11111 =
  31. 31.37 × 18 =
  32. 32.123 × 8 + 3 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345679 × 9 =
  35. 35.12 × 9 + 3 =
  36. 36.12345678 × 8 + 8 =
  37. 37.111111 × 111111 =
  38. 38.12 × 8 + 2 =
  39. 39.12345679 × 45 =
  40. 40.37 × 21 =

Answer key

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

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