Given a campaign budget and a number of impressions, calculate either the Cost per View, or the Cost per 1000 Views.

Given budget and cost per acquistion, how many sales were created?

Convert a metric measurement to another order of magnitude, e.g. g to kg.

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Converting integers from one base to another. Includes binary to decimal.

Cramers Rule applied to 3 simultaneous equations

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

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

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rebelmaths

Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.

i.What is the probability that a one page document will contain x1 printing error(s)?

ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution.

Rearrange equations to make $x$ the subject.

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.

Simple exercise in collecting terms in different powers of \(x\)

9 questions: Expanding out expressions such  $(ax+b)(cx+d)$ etc.

Quotient and remainder, polynomial division.

Dividing powers of x - set out as a fraction

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Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Adapted from Q1 of the sample paper for Unit 1

A simple "Complete the Table" exercise to reinfore prefixes (giga, micro etc) and engineering notation ($\times10^3$ etc).

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

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

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