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$x$ 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).

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Converting Radians to Degrees

rebelmaths

Converting Degrees to Radians

rebelmaths

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Solve a logarithmic equation

Questions testing rather basic understanding of the index laws.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Questions testing rather basic understanding of the index laws.

Questions testing rather basic understanding of the index laws.

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.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Demonstrates how to construct a spreadsheet value from scratch, without uploading an .xlsx file.

Using some passages of text, fill in a product fact sheet.

A simple example showing how to mark entries in a spreadsheet.

Given a data sheet with distances between cities and costs for different forms of transport, and some information about modes of transport used, fill in a form for a journey.

Several questions demonstrating the spreadsheets extension

The student is shown a table with rows for each class in a school, and two columns of numbers: books, and children. They have to work out the column totals, and the number of books per child, and enter them in the table.

Fill in a truth table: the values for "A" and "B" are filled in, and the student has to work out "A or B" and then "(A or B) implies B".

An experiment using a PhET applet. The student can attach masses of different weights to a spring, and is asked to measure and record how far it stretches. Their measurements are shown on a graph, and they're asked to estimate the formula for the length in terms of the mass.

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.

A couple of questions. Some hard, some easy.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

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.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

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