@?public

What does SQL stand for?? Structured Query Language What does “WHERE” do in SQL?? Only returns the results that match the clause. What does “BETWEEN” do in SQL?? Allows matching a range of decimal values. What does “IN” do in SQL?? Allows matching if the item is in a list. What does “WHERE population BETWEEN 200 and 300” match?? A population between 200 and 300. What is a where clause to match an age between 5 and 16?

What is the $a^2$ form of the cosine rule?? $$ a^2 = b^2 + c^2 - 2bc\cos(A) $$ What is the $\cos(A)$ form of the cosine rule?? $$ \cos(A) = \frac{b^2 + c^2 - a^2}{2bc} $$ When can you use the cosine rule for working out the length of a side?? When you have SAS. When can you use to cosine rule for working out an angle?? When you have only lengths. What is the initial setup for the cosine rule?

Visualise corresponding angles?? Angles in this layout are called what?? Corresponding angles. What is special about corresponding angles?? They are equal. Visualise alternating angles?? What shape do alternating angles make?? Z Angles in this layout are called what?? Alternating angles. What is special about alternating angles?? They are equal. Visualise vertically opposite angles?? Angles in this layout are called what?? Alternating angles. Angles that add up to $90^{\circ}$ are called what?? Complementary angles. Angles that add up to $180^{\circ}$ are called what?

See also [[Further Maths - Loci in the Argand Diagram]]S . This diagram shows the loci of points for $|z - (3 + 3i)| = 2$. Visualise the region $|z - (3 + 3i)| \le 2$?? This diagram shows the (poorly drawn) loci of points for $|z| = 3$ and $|z| = 5$. Visualise the region $3 \le |z| \le 5$?? This diagram shows the loci of points for $|z + 6| = |z - 4|$.

What is a bearing?? An angle measured clockwise from the north direction. In , visualise the bearing of A from B?? What must you remember when giving a bearing as an answer?? They are always 3 digits. How can you flip the direction of a bearing?? Add or subtract $180^{\circ}$. Backlinks [[Maths - Syllabus]]S Metadata date: 2020-11-18 10:04 tags: - '@?maths' - '@?school' - '@?year-1' - '@?public' title: Maths - Bearings

What is the sine-on-top form of the sine rule?? $$ \frac{\sin(A)}{a} = \frac{\sin(B)}{b} + \frac{\sin(C)}{c} $$ What is the sine-on-bottom form of the sine rule?? $$ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} + \frac{c}{\sin(C)} $$ Where is angle $A$ in relation to the side $a$?? Opposite. Where is the side $c$ in relation to the angle $C$?? Opposite. How do you draw something like “quadrilateral $ABCD$”?? Draw the quadrilateral and label the sides moving clockwise. Why can you sometimes draw two different triangles when using the sine rule?

What sort of data do you normally use bar charts with?? Discrete data. What sort of data do you normally use histograms with?? Continous data. At GCSE, what was the frequency in a histogram?? The area of a column. Why is the GCSE definition of a histogram incorrect at A-level?? The area of the bars is not always frequency; it can be scaled by a scaling factor. If the frequency reads $30$ from a table, but is $60$ on a histogram, what is the scaling factor?

What types of forces alter an object?? A pair of equal and opposite forces. Why do you need to equal and opposite forces to alter an object?? Because otherwise you’d just move the object. When you’re sitting on a chair, you’re compressing it. What are the two forces in action?? Your weight The normal reaction from the ground What are forces that produce extension called?? Tensile forces. What are forces that shorten or compress an object called?

See also: [[Stats - Median, Quartiles and Percentiles]]S What goes on the $x$-axis on a cumulative frequency diagram?? The variable being measured. What does on the $y$-axis on a cumulative frequency diagram?? Cumulative frequency. What is the purpose of a cumulative frequency diagram?? It allows you to find estimates for medians, quartiles and percentiles. Drawing a cumulative frequency diagram is like what other process in stats?? Linear interpolation. When plotting a cumulative frequency diagram for grouped data, which class boundary should you use for the point on the $x$-axis?

In , how could you write the distance between the two points?? $$ |z_2 - z_1| $$ This result is a case of what result for vectors?? $$ \vec{AB} = b - a $$ For two complex numbers $z_1$ and $z_2$, how could you write the distance between them?? $$ |z_2 - z_1| $$ If $z$ is a variable representing any complex number and $z_1$ is a fixed point, what is $|z - z_2|?? The distance from $z$ to $z_2$.

What is the definition of an even function?? $$ f(x) = f(-x) $$ What is the definition of an odd function?? $$ -f(x) = f(-x) $$ What is the parity of $x^2$?? Even What is the parity of $x^3$?? Odd What is special geometrically about even functions?? The function is symmetric with the $y$-axis. What is special geometrically about odd functions?? The function has $180^{\circ}$ rotational symmetry with respect to the origin. What is the parity of $\sin x$?

What is Archimedes' principle?? The upthrust on an object in a fluid is equal to the weight of fluid displaced. What is the force of upthrust on a boat?? The weight of water that the boat displaces. In , why is there a resultant force upwards?? Pressure increases with depth. There is more pressure on the bottom of the object. In , why is there pressure on the sides?? Pressure is just particles bumping into the side, so particles bump into the side too.