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255 Cards in this Set
- Front
- Back
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2
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6
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2 x 2 x 2 = 8
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0.3 as a fraction
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3/10
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0.6 as a %
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60%
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1 litre is how many ml?
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1000
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1/3 as a decimal
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1/4 as a decimal
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0.25
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10% of 80
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8
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1000m into kilometres
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1
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10mm into cm
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1
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25% of 200
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50
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2m x 3
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6m
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3 + 5 x 3
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18
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3/4 as a percentage
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75%
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40% of 600
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240
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4y(2y+x)
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7/10 as a decimal
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0.7
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75% as a fraction
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3/4
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A birdseye view is called
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Plan
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A side of shape is called
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Edge
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A tangent meets a radius at 90 degrees (picture how it looks in your head)
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Angles around a point
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add to 360 degrees
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Angles in a triangle…
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add to 180 degrees
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Angles in quadrilateral…
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add to 360 degrees
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Angles in the same segment are equal (picture how it looks in your head)
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Angles on a straight line
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add to 180 degrees
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Area of a Circle is given by the formula
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Chord
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Circumference of a Circle is given by the formula
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πd
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Cube of 3
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3 x 3 x 3 =27
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Cube root of 125
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5
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Describe the alternate segment theorem in detail.
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The angle between a tangent and a chord is equal to any angle on the circumference that stands on that chord.
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Describe what the Surface area of a 3D shape is
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Area of all the faces added together
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Diameter
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Examples of Imperial Measurements
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Pint Yard Gallon Mile Inch Feet Ounces
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Examples of Metric Measurements
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Kilometre Metre Centimetre Millitres Litre Kilogram Gram
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Expand 2(x+3)
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2x+6
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Expand 3(x–7)
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3x–21
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Exterior Angles…
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add to 360 degrees
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Factorise
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3x(x+2)
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Factorise
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y(y+4)
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Factorise 4x+8
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4(x+2)
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Factors of 20
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1, 2, 4, 5, 10, 20
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Find 2/5 of 25
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10
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Find 3/4 of 28
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21
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Formula for the Area of a Parallelogram
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base x perpendicular height
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Formula for the Area of a Rectangle
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length x width
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Formula for the Area of a Trapezium
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½ (a + b) x perpendicular height
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Formula for the Area of a Triangle
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½ x base x perpendicular height
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From what direction do you measure bearings from?
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North
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Highest Common Factor of 12 and 8
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4
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How do you calculate the Frequency Density of a histogram?
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Frequency / Class Width
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How do you calculate the Frequency of a histogram?
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Frequency Density x Class Width
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How do you find the gradient from two points on a line?
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Change in the y direction / change in x direction
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How do you find the probability of something AND something else
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Multiply the Probabilities
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How do you find the probability of something OR something else
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Add the Probabilities
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How many cm in a metre?
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100
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How many inches in 1 metre?
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39
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If the probability of you getting a C is 19/20. What is the probability of you not getting a C?
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1/20
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If two lines are parallel then their gradients are
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The same
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If two lines are perpendicular then their gradients are
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The ‘negative reciprocal’
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In a pie chart angles add to
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360 degrees
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67800
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0.0025
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In y=mx+c what does c represent?
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Y–Intercept
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In y=mx+c what does m represent?
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Gradient
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Interquartile Range is
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Upper Quartile – Lower Quartile
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is the formula for the
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area of a circle
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Length x width gives the area of a:
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rectangle
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Lowest Common Multiple of 12 and 8
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24
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Make y the subject of
x = y+7 |
y = x – 7
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More than one corner of a shape are called
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Vertices
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Name the 2D Shape
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Hexagon
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Name the 2D Shape
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Parallelogram
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Name the 2D Shape
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Octagon
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Name the 2D shape
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Kite
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Name the 2D Shape
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Isosceles Triangle
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Name the 2D Shape
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Trapezium
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Name the 2D Shape
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Square
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Name the 2D Shape
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Rhombus
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Name the 2D Shape
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Pentagon
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Name the 3D Shape
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Sphere
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Name the 3D Shape
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Cuboid
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Name the 3D Shape
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Triangular Prism
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Name the 3D Shape
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Cylinder
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Name the 3D Shape
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Square–Based Pyramid
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Name the First 5 Square Numbers
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1, 4, ,9, 16, 25
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Name the four types of Transformation
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Enlargement
Rotation Reflection Translation |
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One corner of a Shape is called
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Vertex
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Opposite angles in a cyclic quadrilateral add to 180 degrees(picture how it looks in your head)
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P + P + P – P
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2p
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p x p x p x p
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Part of the circumference is called an:
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Arc
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Probabilities add up to:
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1
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Pythagoras' formula:
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for any right angled triangle
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Radius
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Round 0.05457 to 1sf
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0.05
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Round 2.3457 to 2sf
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2.3
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Round 3456 to 2sf
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3500
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Round 56.789 to 2 decimal places
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56.79
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Sector
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Segment
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Simplify 30:20
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3:2
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Square of 9
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81
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Tangent
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The Alternate Segment Theorem (picture how it looks in your head)
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The angle at the centre is twice the angle at the circumference (picture how it looks in your head)
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The first 3 integers that satisfy x > 9
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10, 11, 12
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The first 3 integers that satisfy y ≤ 9
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9, 8, 7
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The first 5 multiples of 7
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7 14 21 28 35
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The first five prime numbers
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2 3 5 7 11
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The general name for any 2D shapes
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Polygon
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The lower bound of 6.74 rounded to 2dp
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6.735
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What is the mean?
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Allthe values added up divided by how values there are
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What is the mode?
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The Most Frequent |
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What is the median?
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Themiddle piece of data when in order
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What is the range?
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Largest Value Subtract the Smallest Value
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The shaded part is called
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Segment
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The shaded part is called
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Sector
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The upper bound of 5.6 rounded to 1dp
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5.65
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The view from front or side of a 3d shape is called
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Elevation
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This line is called
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Tangent
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This line is called
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Diameter
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This line is called
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Chord
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This line is called
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Radius
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Net
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This shape has rotational symmetry of:
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Order 3
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To decrease by 15% multiply by
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0.85
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To decrease by 5% multiply by
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0.95
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To describe a reflection you need to state:
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Reflection
Line of Reflection |
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To describe a rotation you need to state:
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Rotation
Centre Angle and Direction |
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To describe a translation you need to state:
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Translation
Vector |
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To describe an enlargement you need to state:
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Enlargement
Centre Scale Factor |
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To increase by 15% multiply by
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1.15
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To increase by 5% multiply by
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1.05
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To prove two triangles are congruent use one of:
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SSS
ASA SAS RHS |
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Type of Graph
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Linear Graph
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Type of Graph
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Reciprocal
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Type of Graph
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Cubic
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Type of Graph
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Quadratic
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Volume of a Prism
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Area of the Cross Section x Length
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What Angle Rule?
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Base angles in an isosceles triangle are equal
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What are the Right Angled Trigonometry Formulae?
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SOH CAH TOA
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What Construction?
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Angle Bisector
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What Construction?
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Perpendicular Bisector
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What Correlation?
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Positive
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What Correlation?
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No
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What Correlation?
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Negative
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What does congruency mean?
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Exactly the Same
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What does this represent?
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–1< x ≤4
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What does this say:
3 < x ≤ 8 |
x is greater than 3 but less than or equal to 8
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What does this say:
–2 ≤ x < 6 |
x is greater than or equal –2 but less than 6
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What is a Data Collection Sheet?
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Tally Chart/Frequency Table
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What is a frequency polygon?
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A graph where you plot the midpoint of the class width and the frequency and join up with straight lines.
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What is Compound Interest?
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Finding the interest of the new amount each year
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What is Simple Interest?
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The same amount of interest every year
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What is the equation of this graph?
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x=1
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What is the equation of this graph?
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y=–x
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What is the equation of this graph?
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y=2
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What is the equation of this graph?
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y=x
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What is the Origin?
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The co–ordinate (0,0)
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What is the sine rule for the area of a triangle?
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1/2absinC
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What is this angle called?
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Exterior Angle
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What key word describes this pattern?
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Tessellation
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What type of lines?
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Parallel
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What type of lines?
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Perpendicular
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What’s a ‘Plan’ of a shape?
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Birdseye View
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When do you use the cosine rule/formula?
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When a non–right angled triangle has 3 sides and an angle one of which you are working out.
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When do you use the sine rule/formula?
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When a non–right angled triangle has sides and 2 angles one of which you are working out.
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Which Angle Fact?
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Alternate Angles are Equal
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Which Angle Fact?
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Allied angles add to 180 degrees
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Which angle fact?
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vertically opposite angles are equal
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Which Angle Fact?
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Corresponding Angles are Equal
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Which circle theorem?
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A tangent meets a radius at 90 degrees
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Which circle theorem?
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The Alternate Segement Theorem
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Which circle theorem?
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The angle in a semi–circle is a right angle
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Which circle theorem?
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Tangents from an external point are equal in length.
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Which circle theorem?
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Opposite angles in a cyclic quadrilateral add to 180 degrees
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Which circle theorem?
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Angles in the same segment are equal
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Which circle theorem?
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The angle at the centre is twice the angle at the circumference
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Which direction do you measure bearings in?
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Clockwise
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Work out
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1
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Work out:
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Work out:
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Work out:
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Work out:
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1/3
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Work out:
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Work out:
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Work out:
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1
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Write 0.0007 in standard form
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Write 0.0085 in standard form
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Write 360000 in standard form
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Write 5780000 in standard form
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Write in a different form
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Write in a different form
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Write in a different form
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Write in a different form
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y + y + y
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3y
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½ (a + b) x perpendicular height gives the area of a
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trapezium
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½ x base x perpendicular height gives the area of a
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triangle
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πd is the formula for the
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circumference
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–10 / 2
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–5
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–3 x 2
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–6
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–4 x –3
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12
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–4 – 3
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–7
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What is the equation of a circle centre the origin? |
where r = the radius |
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Formula for Percentage Change |
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What is the Cosine ratio for right angled trigonometry? |
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What is the Sine ratio for right angled trigonometry? |
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What is the Tan ratio for right angled trigonometry? |
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Sin 0 |
0 |
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Sin 30 |
0.5 |
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Sin45 |
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Sin60 |
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Sin90 |
1 |
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Cos0 |
1 |
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Cos30 |
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Cos45 |
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Cos60 |
0.5 |
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Cos90 |
0 |
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Tan 0 |
0 |
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Tan 30 |
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Tan 60 |
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Which Circle Theorem |
the perpendicular from thecentre of a circle to a chord bisects the chord |
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Formula for the volume of a square based pyramid |
1/3x perpendicular height x width x length |
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What is the SineRule? |
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What is the CosineRule? |
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What is theuseful formSineRule for finding angles? |
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What is the useful form Cosine Rule rule forfinding angles? |
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Which Graph? |
Sine Graph |
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Which Graph? |
Cosine Graph |
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What does Sum Mean? |
Add |
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What does Product Mean? |
Multiply |
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What is a geometric sequence? |
Multiplythe previous term by a number to get the next term. |
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What is a Linear sequence? |
Thereis the same difference between each term |
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What is a Fibonacci Sequence? |
Addthe previous two terms together to get the next term |
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What does this symbol mean? ≠ |
Not Equal |
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Is this an expression or an equation? 3x +2 |
Expression |
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Is this an expression or an equation? 3x +2 = 9 |
Equation |
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What is the perimeter of this rectangle: |
2a+2b |
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What is this diagram called? |
Stem and leaf diagram |
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What does F(x) + a result in? |
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What does F(x+ a) result in? |
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What does P(A) mean? |
Probability of A |
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What does P(B’) mean? |
Probability of not B |
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What does A υ B mean? |
everything that is in either of the sets |
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What does A ∩ B mean?
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only the things that are in both of the sets |
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The Quadratic Formula |
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What is the origin? |
The co-ordinate (0,0) |
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Speed = |
Distance/Time |
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Density = |
Mass/Volume |
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Pressure = |
Force/Area |
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If the linear scale factor is K what is the Area S.F? |
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If the linear scale factor is K what is the VolumeS.F? |
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