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    PracticeAQA GCSEAQA GCSE Maths Foundation Tier Paper 1 Non-CalculatorQuestion 09.1
    Medium4 marksStructured
    ProbabilityProbabilitySample SpacePrime NumbersOdd Numbers

    AQA GCSE · Question 09.1 · Probability

    prime 2 3 7 × 1 5 odd 15

    A number is picked at random from the first three positive odd numbers.
    A number is picked at random from the first four prime numbers.
    The two numbers are multiplied to get a score.
    Complete the table.

    How to approach this question

    1. **Identify the numbers:** - First three positive odd numbers: 1, 3, 5. The table already has 1 and 5, so the missing odd number is 3. - First four prime numbers: 2, 3, 5, 7. The table has 2, 3, and 7, so the missing prime number is 5. 2. **Fill in the missing headers:** - The missing odd number in the first column is 3. - The missing prime number in the top row is 5 (it should go between 3 and 7). 3. **Complete the multiplication:** - Row 1 (odd number 1): 1×2=2, 1×3=3, 1×5=5, 1×7=7. - Row 2 (odd number 3): 3×2=6, 3×3=9, 3×5=15, 3×7=21. - Row 3 (odd number 5): 5×2=10, 5×3=15, 5×5=25, 5×7=35.

    Full Answer

    The completed table should be: Row 1 (odd number 1): 2, 3, 5, 7 Row 2 (odd number 3): 6, 9, 15, 21 Row 3 (odd number 5): 10, 15, 25, 35 The missing prime number is 5.
    This question requires us to complete a sample space diagram for a probability problem. **Step 1: Identify the sets of numbers.** - The first three positive odd numbers are 1, 3, 5. The table shows 1 and 5, so the missing odd number is 3. - The first four prime numbers are 2, 3, 5, 7. (A prime number is a number greater than 1 that has only two factors: 1 and itself). The table shows 2, 3, and 7, so the missing prime number is 5. **Step 2: Fill in the table by multiplying.** The table shows the result of multiplying the odd number in the row by the prime number in the column. - **Top row (multiplying by 1):** 1×2=2, 1×3=3, 1×5=5, 1×7=7. - **Middle row (multiplying by 3):** 3×2=6, 3×3=9, 3×5=15, 3×7=21. - **Bottom row (multiplying by 5):** 5×2=10, 5×3=15, 5×5=25, 5×7=35. The value 15 is already given as a check.

    Common mistakes

    ✗ Incorrectly identifying the odd or prime numbers (e.g., thinking 1 is a prime number, or 9 is a prime number).\n✗ Making multiplication errors when filling the table.
    Question 08All questionsQuestion 10.1

    Practice the full AQA GCSE Maths Foundation Tier Paper 1 Non-Calculator

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