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Only An A* Student Can Get Full Marks On This GCSE Algebra Test

Your teacher wasn't lying when they said it would come in handy in the real world (if you count this quiz as the real world).

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Thankfully, there is no real GCSE in algebra. But if there was, would you pass?

Fox / simpsonsworld.com

There are 12 questions in this quiz, all but one are multiple choice, and they're based on real exam papers. You won't need a calculator but you can use a pen and paper if you like. Let's go!

  1. 1. Which of the below options is a simplified version of this expression?

    Correct
    Incorrect
    a – 6
    Correct
    Incorrect
    7a – 6
    Correct
    Incorrect
    7a + 10
    Correct!
    Wrong!

    Starting with 4a – (3a + 6) you first simplify by removing the brackets, to get 4a – 3a – 6. Subtracting 3a from 4a gives the final answer: a – 6.

  2. 2. When a = 3 and b = 2, which of the following expressions has the lowest value?

    Correct
    Incorrect
    Correct
    Incorrect
    Correct
    Incorrect
    Correct!
    Wrong!

    b/a is equal to two thirds, a – b is 1 and ab is 6.

  3. 3. There are two values of w for which the below equation is true. Someone tells you the values are w = 1 and w = -1. Are they right?

    Correct
    Incorrect
    Yes, that person must be very good at maths.
    Correct
    Incorrect
    No, they're lying.
    Correct!
    Wrong!

    w = 1 works, but if you set w as -1 the above expression works out as -2. The two correct values are 1 and -2.

  4. 4. Solve this inequality:

    Correct
    Incorrect
    x > 5
    Correct
    Incorrect
    x < 5
    Correct
    Incorrect
    x > 3
    Correct
    Incorrect
    x < 3
    Correct!
    Wrong!

    The expression simplifies to 3x > 15, so x > 5.

  5. 5. Solve the following equation:

    Correct
    Incorrect
    y = 6
    Correct
    Incorrect
    y = 7
    Correct
    Incorrect
    y = 8
    Correct!
    Wrong!

    8y = 64, so y = 8.

  6. 6. Which of the following expressions is equivalent to this expression?

    Correct
    Incorrect
    x² + y²
    Correct
    Incorrect
    2x + y²
    Correct
    Incorrect
    2x + 2y²
    Correct!
    Wrong!

    x + x = 2x and y * y = y² so the full expression is 2x + y².

  7. 7. Which of these sequences is a geometric progression?

    Correct
    Incorrect
    1, 2, 3, 4
    Correct
    Incorrect
    1, 2, 3, 5
    Correct
    Incorrect
    1, 2, 3, 6
    Correct
    Incorrect
    1, 2, 4, 8
    Correct!
    Wrong!

    In a geometric progression each number is multiplied by the same common factor to get the next term. In the sequence 1, 2, 4, 8 the common factor is 2.

  8. 8. Which of the below options describes a line that is parallel to this one:

    Correct
    Incorrect
    y = x + 10
    Correct
    Incorrect
    y = 2x – 5
    Correct
    Incorrect
    y = 10x + 2
    Correct!
    Wrong!

    The number before the x is the gradient of the line, so y = 2x – 5 is parallel to y = 2x + 10.

  9. 9. What are the two solutions to this equation?

    Write your answer in the format x, x.

    Correct!
    Wrong!

    For the equation to be true, either x – 4 = 0 or x + 8 = 0.

  10. 10. Is the following statement true or false?

    Correct
    Incorrect
    True
    Correct
    Incorrect
    False
    Correct!
    Wrong!

    x could also be -4.

  11. 11. Which of these numbers appears in both of these sequences?

    Correct
    Incorrect
    2
    Correct
    Incorrect
    3
    Correct
    Incorrect
    5
    Correct!
    Wrong!

    The 2nd term in both sequences is 5.

  12. 12. Solve these simultaneous equations:

    Correct
    Incorrect
    x=1, y=2
    Correct
    Incorrect
    x=2, y=2
    Correct
    Incorrect
    x=2, y=4
    Correct!
    Wrong!

    If you substitue y=2x into the first equation you get 5x=10, so you know x=2. Then just put that into y=2x to get y=4.

Kelly Oakes is science editor for BuzzFeed and is based in London.

Contact Kelly Oakes at kelly.oakes@buzzfeed.com.

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