@?school

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 $|z + 6| = |z - 4|$.
2020-11-19
1 min read
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
2020-11-18
1 min read
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?
2020-11-18
2 min read
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?
2020-11-17
1 min read
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?
2020-11-16
3 min read
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 $\sin x$?
2020-11-11
1 min read
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.
2020-11-11
2 min read
Why is it better to shade what you DON’T want when finding a region?? Because the bit you want will be clear at the end. When is a vertex of a region included?? If both intersecting lines are included by the region. Backlinks [[Maths - Syllabus]]S [[Maths - Inequalities]]S Metadata date: 2020-11-11 17:51 tags: - '@?year-1' - '@?public' - '@?school' - '@?maths' title: Maths - Regions
2020-11-11
1 min read
Degrees What is $\sin 0^{\circ}$?? $$ 0 $$ What is $\sin 30^{\circ}$?? $$ \frac{1}{2} $$ What is $\sin 45^{\circ}$?? $$ \frac{\sqrt{2}}{2} $$ What is $\sin 60^{\circ}$?? $$ \frac{\sqrt{3}}{2} $$ What is $\sin 90^{\circ}$?? $$ 1 $$ What is $\cos 0^{\circ}$?? $$ 1 $$ What is $\cos 30^{\circ}$?? $$ \frac{\sqrt{3}}{2} $$ What is $\cos 45^{\circ}$?? $$ \frac{\sqrt{2}}{2} $$ What is $\cos 60^{\circ}$?? $$ \frac{1}{2} $$ What is $\cos 90^{\circ}$?? $$ 0 $$ What is $\tan 0^{\circ}$?? $$ 0 $$
2020-11-09
3 min read
What does the set ${x \colon x < 6.5}$ describe?? All numbers that are less than $6.5$. What does the set ${x \colon x > -2}$ describe?? All numbers that are greater than $-2$. How could you write the set for all numbers less than or equal to $5$?? $$ { x \colon x \le 5 } $$ How could you describe $-2 \le x < 6.5$ as one set?? $$ { x \colon -2 \le x < 6.
2020-11-02
1 min read
What is the symbol formula for density?? $$ \rho = \frac{m}{V} $$ What is the symbol for density?? $$ \rho $$ Backlinks [[Physics - Syllabus]]S Metadata date: 2020-10-24 13:24 tags: - '@?school' - '@?physics' - '@?year-1' - '@?public' title: Physics - Density
2020-10-24
1 min read
What is special about the horizontal and vertical components of a projectile?? They can be treated seperately. If you have two bullets, one which is fired from a completely level gun and one that is dropped at the exact same height and time as the other bullet being fired, which lands first?? They both land at the same time. Why do two bullets, one fired from a gun and one stationary, hit the ground at the same time?
2020-10-20
2 min read