25 marks of questions on manipulating brackets

Simple examples combining functions

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}e $ where each of $a, \;b,\;c,\;d,\;e$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4}$ one of $\lor,\;\land,\;\to$.

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

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

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 $\neg q \to \neg p$.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

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Simplifying algebraic expressions

Composite functions.

Students are given a graph of a cubic, and are asked to find the equation for it.

Students enter equation and turning point

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Factorising polynomials using the highest common factor

This question is designed to give you some practice with cancelling down and multiplying up fractions.

You do not need a calculator for these.

Add, subtract, multiply and divide numerical fractions.

This is a set of questions designed to help you praction adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator

Practice with fractions

Simplifying algebraic expressions

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Ratio Questions

Finding lengths of sides of triangles

Example of a universal statement over the integers and its negation

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

Parts with zero marks now show a tick or cross as appropriate, even though they don't contribute to the total score.

See github issue https://github.com/numbas/editor/issues/147

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

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