Tags: algebra, equations (linear), equations (quadratic)

Last updated Sep 2019

This demonstrates how to:

• Generate a fixed number of observations of data in two categories.
• Display the data in a table, with row and column totals.
• Ask the student to enter the data in a spreadsheet which is automatically marked.

A gold ball on a steel table - effect of its own weight.

A gold ball on a steel table - effect of its own weight.

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Find and compare means and standard deviation using EXCEL (downloadable randomised dataset)

Unit circle definition of sin, cos, tan using degrees

Unit circle definition of sin, cos, tan using radians

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Elementary examples of multiplication and addition of complex numbers. Four parts.

Solve for the internal force in three members of a truss.

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Friction and Accelration of a block with 2 forces applied

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Beam Equilibrium

SbE Electronics Resit Written Assessment

Basic runway length calculation.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

This question tests students' ability to use repeated squaring to perform modular exponentiation.  Moduli are random numbers between 30 and 70, the base is a number between 10 and 29.  To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2. 

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Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land$.

For example $\neg q \to \neg p$.

Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land,\;\to$.

For example $\neg q \to \neg p$.