$x$ is given and (sin(x),cos(x)) is plotted on a unit circle.  Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.) Also find values and sign of cos/tan/sin(x).

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

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Simplifying an expression of the form $\frac{a^4b^3}{\sqrt{a^4b^2}}$ to $a^2b^2$, for integers $a$ and $b$.

Simplifying an expression of the form $a^3 \times (a^4)^{1/2}$ to $a^5$, where $a$ is an integer. 

Using indices rules to rewrite an expression from $\left(\frac{a^n}{b^n}\right)^{-1/n}$ to $\frac{b}{a}$.

Using indices rules to rewrite an expression from $a^\frac{m}{n}$ to $\frac{1}{b}$, for integers $a$, $b$, $m$ and $n$.

Simplifying expressions from $\left(\frac{x^m}{x^n}\right)^p$ to $x^{(m-n)p}$.

Simplifying expressions from $(ax^n)^m$ to $a^mx^{mn}$, where $a$, $m$ and $n$ are positive integers.

The student is shown a diagram with measurements of rooms in a house. They have to enter the measurements in a spreadsheet, then the area of each room, and finally the total area of the house.

Evaluación de un polinomio

Obtener el grado del resto de la división de polinomio

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Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

A quick practice set of problems for education students to take in preparation for their numeracy test.

Percentage of an amount

A quick practice set of problems for education students to take in preparation for their numeracy test.

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A quick practice set of problems for education students to take in preparation for their numeracy test.

A quick practice set of problems for education students to take in preparation for their numeracy test.

A quick practice set of problems for education students to take in preparation for their numeracy test.

A quick practice set of problems for education students to take in preparation for their numeracy test.

A quick practice set of problems for education students to take in preparation for their numeracy test.

Completar tablas de verdad  y demostrar usando el método por contradicción.

Ejercicio de una declaración universal sobre los enteros y su negación.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

$y=mx+b$

This questions gives a bipartite graph and asks students to identify a full matching of the graph, if it exists.

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