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Complementary function/particular integral for forced simple harmonic motion (non-resonant)

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Simple trig equations with radians

Exercises in solving simultaneous equations with 2 variables.

Structured questions with instructions.

Use for coaching not assessment.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

This is a copy of a question by Ben Brawn. It replaces the JavaScript construction of the diagram with Eukleides.

This is a copy of a question by Ben Brawn. It replaces the JavaScript construction of the diagram with JSXGraph+JME.

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

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Exam Question

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

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

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

rebelmaths

Scores  in 20 games and frequency given -- calculate mean.

rebelmaths

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

A demo of the "quantities with units" extension and custom part type.

given random circle on graph with centre in 2nd or 3rd quadrant. find loci in complex form

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non Calculator. Students are asked to determine how many 5mL teaspoon measures would fill a container with volume given in litres There are seven different volumes.

Convert a variety of numbers from decimal to standard index form.

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.

Practice with adding, subtracting and dividing basic algebraic fractions

solve trig equation that requires use of s^s+c^2=1. with worked solutions.

solve trig equation involving a translation in given internval. with worked solutions

Solve trig equation in a given internval with stretch and worked solutions

Solving cosx in given interval. With random variation and worked solutions.

Solving sinx in given interval. With random variation and worked solutions.

Solving tanx in given interval. With random variation and worked solutions.