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• GeoGebra embed problem
Should not be used
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An example to help debug a problem with GeoGebra.

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Given a parcel's width, height and length, calculate its volume and surface area. Additionally, classify its size based on a formula inspired by a real delivery company (as mad as it sounds!).

The student must give units with each measurement.

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Substitute values into formulae for the area or volume of various geometric objects.

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Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

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Work out $k$ when $y = kx^2$.

Draft
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Experimental question using JSXGraph to provide dynamic, interactive graphs.

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Given a sum of logs, all numbers are integers,

$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.

Also calculate to 3 decimal places $\log_b(a)$.

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Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

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Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$.

Make sure that your choice is a solution by substituting back into the equation.

• Substitution Q1
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• Substitution Q2
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Solve $\displaystyle ax + b = cx + d$ for $x$.

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Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

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Solve $\displaystyle ax + b =\frac{f}{g}( cx + d)$ for $x$.

A video is included in Show steps which goes through a similar example.

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Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

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Questions testing understanding of the precedence of operators using BIDMAS applied to integers. These questions only test IDMAS. That is Indices, Division/Multiplication and Addition/Subtraction.

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Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

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Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

• Rearranging Equations
Other method. Find $p,\;q$ such that $\displaystyle \frac{ax+b}{cx+d}= p+ \frac{q}{cx+d}$. Find the derivative of $\displaystyle \frac{ax+b}{cx+d}$.