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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 960 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 36 =
  3. 3.12345679 × 54 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 18 =
  6. 6.12345 × 9 + 6 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12345679 × 45 =
  9. 9.37 × 21 =
  10. 10.37 × 12 =
  11. 11.12 × 9 + 3 =
  12. 12.111 × 111 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 6 =
  15. 15.1234567 × 8 + 7 =
  16. 16.11 × 11 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 9 =
  19. 19.37 × 15 =
  20. 20.37 × 3 =
  21. 21.1111 × 1111 =
  22. 22.12345679 × 27 =
  23. 23.12345679 × 63 =
  24. 24.123 × 9 + 4 =
  25. 25.12345678 × 9 + 9 =
  26. 26.111111 × 111111 =
  27. 27.37 × 27 =
  28. 28.123456 × 8 + 6 =
  29. 29.1234 × 9 + 5 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 9 =
  33. 33.37 × 18 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12345679 × 81 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123 × 8 + 3 =
  38. 38.12345679 × 63 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 6 =

Answer key

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

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