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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 84 · 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 × 36 =
  2. 2.12345679 × 72 =
  3. 3.37 × 21 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345 × 9 + 6 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 6 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 81 =
  10. 10.12345679 × 45 =
  11. 11.12 × 8 + 2 =
  12. 12.111111 × 111111 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345679 × 27 =
  15. 15.111 × 111 =
  16. 16.123 × 8 + 3 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 54 =
  19. 19.11 × 11 =
  20. 20.37 × 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 18 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 18 =
  26. 26.37 × 24 =
  27. 27.37 × 3 =
  28. 28.123456 × 8 + 6 =
  29. 29.12345679 × 63 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 27 =
  33. 33.37 × 12 =
  34. 34.12345679 × 63 =
  35. 35.37 × 15 =
  36. 36.1111 × 1111 =
  37. 37.123 × 9 + 4 =
  38. 38.123456789 × 8 + 9 =
  39. 39.37 × 27 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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