Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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This question asks a student to draw a straight line graph by dragging points.

Given th original formula the student enters the transformed formula

READY TO USE

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

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Rearranging equations to change the subject

multiple choice testing sin, cos, tan of  random(pi/6, pi/4, pi/3) radians

Practice dividing polynomials using the long division method.

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Applying trigonometry to find heughts and lengths.

Finding the stationary points of a cubic with two turning points

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A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Real life problems with differentiation

Finding the stationary points of a cubic with two turning points

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do. Courtesy of Newcastle University

Simplifying algebraic expressions

Create a truth table for a logical expression of the form $(a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d)$ where $a, \;b,\;c,\;d$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$ one of $\lor,\;\land,\;\to$.

For example: $(p \lor \neg q) \land(q \to \neg p)$.

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Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Working with powers

Simplifying algebraic expressions

Add, subtract, multiply and divide numerical fractions.

Simple Linear Equations involving Basic Transposition

Calculate capacity of rectangular tank, given its dimensions

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Percentage error in rounding to 1 significant figure

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