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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 840 · 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 × 9 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 24 =
  4. 4.12 × 9 + 3 =
  5. 5.12345 × 9 + 6 =
  6. 6.12345679 × 36 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345679 × 54 =
  9. 9.37 × 3 =
  10. 10.12345678 × 9 + 9 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 12 =
  13. 13.37 × 15 =
  14. 14.12345679 × 18 =
  15. 15.37 × 18 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 27 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 63 =
  20. 20.11 × 11 =
  21. 21.1234 × 8 + 4 =
  22. 22.123 × 9 + 4 =
  23. 23.12 × 8 + 2 =
  24. 24.111 × 111 =
  25. 25.12345679 × 72 =
  26. 26.37 × 6 =
  27. 27.123 × 8 + 3 =
  28. 28.12345679 × 27 =
  29. 29.12345679 × 45 =
  30. 30.123456789 × 8 + 9 =
  31. 31.37 × 9 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 81 =
  34. 34.37 × 27 =
  35. 35.37 × 9 =
  36. 36.111111 × 111111 =
  37. 37.12 × 8 + 2 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 72 =
  40. 40.37 × 6 =

Answer key

  1. 111111111
  2. 9876543
  3. 888
  4. 111
  5. 111111
  6. 444444444
  7. 98765
  8. 666666666
  9. 111
  10. 111111111
  11. 1111111
  12. 444
  13. 555
  14. 222222222
  15. 666
  16. 11111
  17. 999
  18. 1234321
  19. 777777777
  20. 121
  21. 9876
  22. 1111
  23. 98
  24. 12321
  25. 888888888
  26. 222
  27. 987
  28. 333333333
  29. 555555555
  30. 987654321
  31. 333
  32. 123454321
  33. 999999999
  34. 999
  35. 333
  36. 12345654321
  37. 98
  38. 987654
  39. 888888888
  40. 222

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