| How do you convert a fraction into an irrational number? | To convert a fraction to an irrational number, you always want the denominator to only contain 9’s,
So if the denominator was 33, 33 x 3 = 99,
Now multiply the numerator by the same number e.g. 6 x 3 = 18, and divide the numerator by the denominator
and write the answer as a recurring number |
| What do you do when the numerator is one digit, and the denominator is two digits? | When the numerator is one digit and the denominator is two digits you need to make the numerator have two digits by adding a zero to it, e.g. 7 becomes 07, so that the 0 and 7 will both occur |
| What is a bearing? | A bearing is a measure of direction, which starts from North, always goes clockwise, and is written as three figures |
| What do you do to draw bearings? | To draw bearings draw first draw the north pointing line, on this line mark point A with a dot, then measure the given bearing angle and draw a line on this angle, measure the given distance from point B to point A, and at this distance, mark point B. |
| If the bearing of B from A is 64 degrees what is the bearing of A from B? | If the bearing of B from A is 64 degrees, the angle of A from B is also 64 degrees because these bearings form an F angle/ are corresponding angles, and corresponding angles are equal |
| What do you do in geometric sequences? | In geometric sequences, you multiply each term by a common ratio to get to the next term for example in the sequence 0.5, 1.5, 4.5, each term is multiplied by 3 |
| What are geometric sequences involving surds (square roots)? | Geometric sequences involving surds are sequences where the common ratio is a square root and the next terms if found by multiplying the preceding term by the square root |
| What is the equation for finding the nth term of triangular sequences? | Nth term of triangular sequence = n(n+1)/2 |
| What is do you do in the Fibonacci sequence? | In the Fibonacci sequence, you find the next term by adding the two preceding terms together |
| How do you calculate arc length and area of a sector? | The formula for arclength is L/ 0 = C / 2pi, where L = length and 0 = angle
And Area of a sector = A / 0 = pi x r^2 / 2pi |
| How is the locus of a circle drawn? | A locus of a circle is drawn by drawing a line from the centre and using a compass to draw a circle at the line’s edge, and then copying that line and circle on the other side, so they are equidistant, and finally using a rule to join the circles |
| How do you draw the perpendicular bisector of a line? | You draw the perpendicular bisector of a line by extending the compass past half the line, then drawing a semi-circle, then repeat this process on the opposite side of the line, and draw a line that bisects or intersects where the two semi-circles meet |
| How is a perpendicular line from a point drawn? | To draw a perpendicular line from a point you place your compass on the given point, extend the compass past half the line, and draw an arc that passes through the line
repeat this step on the opposite side of the line
then a larger arc to meet the first and second points where the arcs meet the line
lastly, draw a line that intersects the original point and the point where the two arcs meet |
| What do you do to bisect an angle? | To bisect an angle place your compass on the corner where the lines AB and BC meet and draw an arc that looks like an angle and passes through lines AB and BC, place your compass on the point where the arc meets line AB and draw a smaller arc, then repeat this step on line BC so the smaller arcs intersect and lastly draw a line that intersects the angle ABC and the smaller arcs |
| What is the equation for the volume and surface area of a cone? | Volume of a cone = 1/3 pi r^2 h
And surface area of cone = pi rl + pi r^2 |
| What is the equation for the volume and surface area of a prism? | Volume of a prism = area of cross-section x height
And surface area of a prism = (b1 + b2)h + PH, where P is the perimeter and both h and H are the hight |
