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Dora has the following number cards - OCR - GCSE Maths - Question 4 - 2020 - Paper 1

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Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two card... show full transcript

Worked Solution & Example Answer:Dora has the following number cards - OCR - GCSE Maths - Question 4 - 2020 - Paper 1

Step 1

Complete the table with possible totals

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Answer

To complete the table, we will list all combinations of the first and second card drawn. The totals will be calculated by adding the values from the chosen cards:

  • First Card = 2:

    • Second Card = 2: Total = 2 + 2 = 4
    • Second Card = 3: Total = 2 + 3 = 5
    • Second Card = 5: Total = 2 + 5 = 7
    • Second Card = 6: Total = 2 + 6 = 8
  • First Card = 2:

    • Second Card = 2: Total = 2 + 2 = 4
    • Second Card = 3: Total = 2 + 3 = 5
    • Second Card = 5: Total = 2 + 5 = 7
    • Second Card = 6: Total = 2 + 6 = 8
  • First Card = 3:

    • Second Card = 2: Total = 3 + 2 = 5
    • Second Card = 3: Total = 3 + 3 = 6
    • Second Card = 5: Total = 3 + 5 = 8
    • Second Card = 6: Total = 3 + 6 = 9
  • First Card = 5:

    • Second Card = 2: Total = 5 + 2 = 7
    • Second Card = 3: Total = 5 + 3 = 8
    • Second Card = 5: Total = 5 + 5 = 10
    • Second Card = 6: Total = 5 + 6 = 11
  • First Card = 6:

    • Second Card = 2: Total = 6 + 2 = 8
    • Second Card = 3: Total = 6 + 3 = 9
    • Second Card = 5: Total = 6 + 5 = 11
    • Second Card = 6: Total = 6 + 6 = 12

The completed totals are:

Total2356
24578
24578
35689
5781011
6891112

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