10 Flashcards
If there is an equation 2/4 = x/8, what is the easiest way to solve it?
By cross multiplying.
Which part of the quadratic formula is the discriminant?
What is the integral of f(x) = 6x2 + 4x?
2x3 + 2x2
What is the formula for the surface area of a sphere?
A = 4πr2
What type of graph is made by a quadratic equation?
Parabola
What is one fifth as a percentage?
20%
What is a surd?
A number that includes a square root, cube root, or other root.
What does perpendicular mean?
When 2 lines meet at a right angle.
What is the distance formula in coordinate geometry based upon?
Pythagoras’ theorem
What does parallel mean?
Two lines that will always be the same distance apart and will never meet.
What does y equal, if y - 4x + 2 = 0?
-2x - 1
What is this shape?
Hyperboloid on one sheet.
What is the quadratic formula?
What is two fifths as a decimal?
0.4
What is the formula for distance in coordinate geometry?
What is this shape?
Ellipsoid.
If you have a ratio, for example, 3:8 of 110, what is the first thing you work out?
Work out what one part is equal to.
What is this shape?
Hyperbolic paraboloid.
What is this shape?
Cone.
x + y = 24
x - y = 5
What is this an example of?
Simultaneous equation
What are the 2 main types of calculus?
Derivatives and integrals.
What is the formula for the volume of a prism?
Area of the front face times by the depth.
What is a quadrilateral?
Any four-sided shape.
What is the formula for the midpoint of a line?
What is the formula for simple interest?
Principle x time x rate.
What is the standard form of a quadratic equation?
f(x) = ax2 + bx + c
What is this shape?
Ellipse, or oval.
What happens if a number is to a negative power?
It turns into a fraction.
Can you divide a number by zero?
No, it is impossible.
How do you find the volume of a sphere?
What is circumference?
The perimeter of a circle.
Which line divides a parabola into two equal halves?
Axis of symmetry
What is the formula for the axis of symmetry of a quadratic equation?
How would you find the surface area of a cylinder?
Find the area of the top and bottom, then find the circumference times the height.
What is the formula for the area of a trapezium?
Average of top and bottom times height.
If a triangle has two sides and we need to find the third side, how do we solve it?
It depends. If it is a right angled triangle, we can use Pythagoras’ theorem. Otherwise, we can use the law of cosines.
What does a derivative find?
The rate of change at a point.
What is this shape called?
Torus
If we know one angle and ones side of a triangle, how do we find another side?
Using trigonometry.
What is 0.66666 as a fraction?
2/3
What are the 3 types of triangle?
Equilateral, isosceles, scalene.
What is the derivative of f(x) = 2x2 + 3x?
4x + 3
What is the difference between horizontal and vertical?
Horizontal goes across, vertical goes up and down.
What happens if zero is divided by a number?
It equals zero.
What does an integral find?
The area under a graph.
What is the lowest or highest point on a parabola?
Vertex
What is this type of formula? 1 - x2 = 0.
Quadratic equation.
Why are they called quadratic equations?
The word ‘quad’ is a Latin word for ‘square’. A quadratic equation is a polynomial with a square.
How many degrees does each angle have in an equilateral triangle?
60º
x2 + y2 = radius2 is the equation for what?
A circle.
What is this shape?
Cylinder with ellipse cross section.
What is this shape?
Hyperboloid on 2 sheets.
How do you find the surface area of a multivariable (3d) graph?
Double integrate it.
How do you find the volume of a multivariable graph?
Triple integrate it.
What is the formula for finding the gradient of a straight line?
How many degrees are in a straight line?
180º
What is (x + 4)(x - 4)?
x2 - 16
What happens if a number is to the power of a fraction?
It becomes a root.
What is the difference between the mean, median and mode?
Mean is the average, median is the middle value, mode is the most common.
What is the formula for the area of a rectangle?
Length times width.
What is the formula for the area of a triangle?
Base times height divided by 2.
What is the numerical value of Pi?
3.1415926535, or 22/7
What is a quarter as a decimal?
0.25
What is this shape?
Elliptic paraboloid.
What is the gradient of this line? f(x) = 7x + 4
7
What is a hyperbola?
A curved line that has a mirror image.
Which word helps us expand a quadratic equation?
FOIL
What is 3/4 as a percentage?
75%
What is the gradient of a line perpendicular to this line? f(x) = 2x + 8
-1/2
What are these shapes called?
Prisms
What is (x + 4)(x + 4)?
x2 + 8x + 16
What is the formula for area of a circle?
Pi times radius squared.
What is a google?
A number with 100 zeroes.
What is a quadrilateral whose four sides all have the same length?
Rhombus.
What is the formula for the area of a rhombus?
pq/2
An improper fraction is always what?
Greater than one.
What is the word, like tiles, where shapes fit together (usually squares, rectangles, or hexagons)?
Tesselated.
What are patterns that have the same pattern repeated no matter how much you zoom into the pattern?
Fractals.
What is the other name for a triangular pyramid?
Tetrahedron.
Whose triangle is important for probability?
Pascal’s triangle.
What is a 5 sided shape called?
Pentagon.
What is a 6 sided shape called?
Hexagon.
What is a 7 sided shape called?
Heptagon.
What is an 8 sided shape called?
Octogon.
What is a 9 sided shape called?
Nonogon.
What is a 10 sided shape called?
Decagon.
What is a 12 sided shape called?
Dodecagon.
What is this shape called?
Geodesic dome.
What is this shape called?
Dome.
What is this shape called?
Kite or deltoid.
What is the opposite of exponential growth?
Logarithmic growth.
