Julie Crowley

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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Practice use of summation notation for regression question.

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$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.

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Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

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Given a graph of a line of the form $y=ax+b$ where $a$ and $b$ are integers, find the equation of the line. 

Basic indefinite integrals, Basic definite integrals, integration by substitution

Missing: Area type question, solving diff eq application

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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

First- and second order recurrence equations, homogenous and nonhomogenous

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.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Transposition of formulae. Changing the subject of an equation. 

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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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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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Simple ratio question with custom marking and partial credit possible

Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Mean, median and mode from a frequency table with classes 1(b)

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Mean, median and mode from a frequency table with classes 1(b)

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Calculate the Pearson correlation coefficient on paired data and comment on the significance.

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Compare two savings accounts with different interest rates.

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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 $\neg q \to \neg p$.

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 $\neg q \to \neg p$.

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 $\neg q \to \neg p$.

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 $\neg q \to \neg p$.

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 $\neg q \to \neg p$.

Students enter equation and turning point

Another transposition question, which requires (basic) factorisation.

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Another transposition question, which requires (basic) factorisation.

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