Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

Given percentages of males and females working on a project, and the percentage of the total staff who are male (or female), find the percentage of all staff working on the project.

Based on question 3 from section 3 of the maths-aid workbook on numerical reasoning.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

5 questions which introduce the student to the Numbas system.

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5 questions which introduce the student to the Numbas system.

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This is a homework assignment. Students may complete this assignment during a maths lesson with the support from the teacher. 

• Passing mark 60%
• Difficulty level 3 Moderat/Average (C+, B-, B Level).

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6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

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Rotate $y=a(\cos(x)+b)$ by $2\pi$ radians about the $x$-axis between $x=c\pi$ and $x=(c+2)\pi$. Find the volume of revolution.

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5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

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$g: \mathbb{R} \rightarrow \mathbb{R}, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min? 

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

A credit card company charges compound interest at x% per month 
on unpaid balances.

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Find the mean, median and mode of a list of 10 test scores.

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Calculate the annual interest rate for a savings account where A, P and n are given.

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Using e to solve equations involving the natural log

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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

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Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

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Antiderivatives

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Indefinite Integrals

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Indefinite Integrals

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Conversions of units