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  • Blathnaid's copy of Simplify logarithms

    by Blathnaid Sheridan and 1 other

    Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

     

    Question Draft

    CC BY Published

    Last modified 17/10/2019 20:04

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  • Area under a curve by integration

    Find roots and the area under a parabola

    Question Ready to use

    CC BY-NC Published

    Last modified 17/10/2019 13:06

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  • Vectors 2 Dot product and angle between two vectors

    by Violeta CIT and 1 other

    Find the dot product and the angle between two vectors

    Question Needs to be tested

    CC BY Published

    Last modified 16/10/2019 08:54

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  • W1b - Solve simultaneous equations by finding inverse matrix

    by Timur Zaripov and 2 others

    Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

    Question Ready to use

    CC BY Published

    Last modified 16/10/2019 06:10

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  • Maria's copy of Roots of a quartic real polynomial

    by Maria Aneiros and 1 other

    Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

    Question Needs to be tested

    CC BY Published

    Last modified 10/10/2019 13:43

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  • W2a: Rearrange linear equations to find value of an unknown

    by Timur Zaripov and 1 other

    Finding the value of a variable

    Question Ready to use

    CC BY Published

    Last modified 08/10/2019 16:51

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  • W2a: Simplifying fractions

    by Timur Zaripov and 1 other

    Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

    Question Ready to use

    CC BY Published

    Last modified 08/10/2019 16:50

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  • W2b: Simplify logarithms

    by Timur Zaripov and 1 other

    Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

     

    Question Draft

    CC BY Published

    Last modified 07/10/2019 13:28

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  • Factorise a quadratic

    by Thomas Waters and 2 others

    The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

    To find the script, look in the Scripts tab of part a.

    Question Draft

    CC BY Published

    Last modified 03/10/2019 16:00

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  • W1b - Find determinants and inverses of 2x2 matrices

    by Timur Zaripov and 1 other

    Find the determinant and inverse of three $2 \times 2$ invertible matrices.

    Question Ready to use

    CC BY Published

    Last modified 02/10/2019 15:56

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