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67 Cards in this Set

  • Front
  • Back

standard form

the number must be 1 or more and less than 10

Pythagoras triples

3:4:5 and 5:12:13

Area of parallelogram

A=b×h

Area of triangle

A=b×h/2

Area of Trapezium

A=(a+b)h/2

Volume of Cubeoid

V=l×b×h

Area of rectangle

A=l×b

Area of square

A=l²

Volume of Cube

V=l³

1litre

1000cm³

Length of arc

(θ/360)×2πr

Volume of Prism

V=c.s.a×l

1m

100cm

Area of a circle

A=πr²

Circumference

C=πd or C=2πr

1cm

10mm

1km

1000m

Angles in the same segment are equal.

Angles at centre is twice the angle at circumference

The exterior angle of a cyclic quad is equal to the opposite interior angle.

curved surface area of cylinder

CSA=2πrh

Area of sector

(θ/360)×πr²

Two tangents to a circle are equal.

Angles in a semi-circle is equal to 90°

Opposite angles in a cycling quad add up to 180°

Tangent perpendicular to a radius makes an angle of 90°

Alternate segment theorem

speed formula

Volume of Cylinder

V=πr²h

average speed formula

average speed=total distance travelled/total time taken

angle of elevation

angle of depression

simple interest formula

I=PTR/100

equation of a line

y=mx+c


m=gradient


c=y-intercept

gradient formula

∆y/∆x

shape with 3 sides

triangle

shape with 4 sides

Quadrilateral

shape with 5 sides

Pentagon

shape with 6 sides

Hexagon

Shape with 7 sides

Heptagon

Shape with 8 sides

Octagon

sum of exterior angles

360°

one exterior angle

360°/n

sum of interior angles

(n-2)x180°

mode

the mode is the number that appears most in the set of data.

median

the median is the middle number. Putting all the data points in order and taking the one in the middle. OR if there are two middle numbers, taking them and dividing them by two (taking the mean).

range

Difference between largest and smallest number.

mean

Mean is the average. Mean: all numbers added/number of numbers

prime number

has only two factors (one and itself)

Factor

numbers which divide another number.


ex: factors of 12 are 1,2,3,4,6,12

Multiple

the multiplication table of a number.


ex. multiples of 12 are 12,24,36,48,....

HCF

highest common factor.


ex. HCF of 48 and 32


factors of 48: 1,2,3,4,6,(8),12


32: 1,2,4,(8),16

LCM

Lowest common multiple.


ex. LCM of 12 and 15


multiples of 12: 12,24,48,(60),72...


15: 15,30,45,(60),75...

Compound Interest

A=P(1+R/100)^T



P-principle


e


R-rate


T-timeR-rateA-amount(final)(principle+interest)


A-amount(final)(principle+interest)


Area of rectangle

A=LxB

1cm^2

100mm^2

1m^2

1000cm^2

1km^2

1000000m^2

1cm^3

1000mm^3

1m^3

1000000cm^3

1km^3

1000000000m^3

Area of segment

Area of segment-Area of triangle

Discrete data

Data which can only be measured in whole numbers.


ex. no. of siblings, objects, animals

continuous data

Data which can be measured in decimal numbers.


ex. height, money, distance, weight, volume, time.

percentage error

%error=error/correct value x100%

one Interior angle

(n-2)x180°/n

median formula

n+1/2