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End of yr exams - yr 10 > Math > Flashcards

Math Flashcards

1
Q

What is statistics?

A

Solving problems and answering questions by collecting and analysing data

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2
Q

What is a mean?

A

When you add the numbers up and divide by how many there are

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3
Q

What is mode?

A

The most common number

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4
Q

What is median?

A

The middle value

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5
Q

Describe measures of spread:

A

The middle 50% is the median, the bottom 25% is the lower quartile, and the top 25% is the top quartile.

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6
Q

What are the 3 distributions?

A

Symmetrical, positively skewed, negatively skewed

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7
Q

What is symmetrical skewed?

A

When the mean, mode, and median are all in the middle

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8
Q

What is negatively skewed?

A

Skewed to the left (not dots on left side)

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9
Q

What is Positively skewed?

A

Skewed to the right (no dots on right side)

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10
Q

What is correlation?

A

How positive or negative the graph is or non-linear

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11
Q

How do you know what correlation the graph is?

A

If its going uphill its positive and downhill is negative. If the dots are all together its perfect, if its kinda spread out its strong, if they are spread out but you can still see if its positive or negative then its moderate

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12
Q

How do you know if its non-linear or no correlation?

A

Non-linear is if its going both uphill and down hill, no correlation is if you cant tell anything and the dots are spread out everywhere

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13
Q

What does PPDAC mean?

A

problem, plan, data, analysis, conclusion

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14
Q

What is problem?

A

what data to collect, who its from, and why its important

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15
Q

What is plan?

A

How you gather the data

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16
Q

What is data?

A

How it is organised and managed

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17
Q

what is analysis?

A

exploring the data and reasoning with it

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18
Q

what is conclusion?

A

answering the question and providing reasons

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19
Q

What is probability?

A

The likelihood of an event occurring

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20
Q

What are the two ways for working out probability?

A

Experiments and theory

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21
Q

What is frequency?

A

The number of times a value occurs.

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22
Q

What is the difference between bar graphs and histograms?

A

Bar graphs have gaps between their bars

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23
Q

How do you know if you are meant to use a bar graph or histogram?

A

You use a histogram if the data is continuous

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24
Q

What is continuous data?

A

Data that keeps going on, e.g heights

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25
Q

What are outliers and clusters?

A

An outlier is separated from all the other data well a cluster is gathered around the main piece of data

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26
Q

What is unimodal, biomodel, and multimodel?

A

Uni is 1, bio is 2, and multi is 3 peaks in graphs

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27
Q

whats an alternate angle on a parallel line?

A

An angle on the other side of the middle line

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28
Q

What is a co-interior angle on a parallel line?

A

Angles on the same side of the line both inside the parallel line (in the box)

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29
Q

What is a corresponding angle on a parallel line?

A

Angles on the same side of the line but one is inside the lines and ones outside

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30
Q

What are 3 types of triangles, how do you spell them, and what do they mean?

A

Scalene - no sides are equal. Isosceles - two sides are equal. Equilateral - all sides are equal.

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31
Q

What is it called when theres a triangle in a circle?

A

Semi - circle

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32
Q

What is the intercept in y = 5 - 2x and what is it called

A

5 and its called the y intercept

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33
Q

Where is the gradient found in this y = 5 - 2x.

A

The 2

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34
Q

What are the four line gradients called and positioning?

A

Positive (uphill), negative (downhill), undefined (up and down), zero (straight across)

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34
Q

What is the formula for gradients of a line?

A

y = mx + c

34
Q

What way and where do the 4 quadrants go?

A

clockwise starting from top right corner

35
Q

What are bearings?

A

Direction measure from north in a clockwise direction

35
Q

What helps you to chose what function to use?

A

soh-cah-toa

36
Q

What are the three sides of triangles called in trigonometry?

A

Opposite (opposite angle), hypotenuse (longest side), adjacent (remaining side)

36
Q

What are pythagorus triples?

A

3,4,5

36
Q

using trigonometry what symbol do you use to find short and long side?

A

short - times
long - divide

36
Q

How do you calculate a missing angle?

A

You push shift then sin cos or tan and bracket the two lengths of the sides

37
Q

How do you find the length of short and long sides using pythagorus?

A

square root of :
long side - add them both squared
short side - minus them both squared

37
Q

Difference between y intercept and gradient:

A

Gradient is the number with the x while the y intercept is just a number

38
Q

how many decimal places do you round a angle to ?

A

1d.p

38
Q

what is theta

A

it is a 0 with a line through it meaning unknown angle

39
Q

what are inverse trig functions?

A

cos tan or sin with a -1

40
Q

what is the difference between discrete and continuous data?

A

discrete u count continuous you measure

40
Q

how many digits do you always right bearings in?

A

3 - you can add 0 at the start if needed

40
Q

when you find short and long sides in trigonometry when do you times and divide?

A

when theres a number on the top you divide and when theres a number on the bottom you multiply

41
Q

m = what in coordinates

A

m = rise/run

42
Q

how do you use rise over run?

A

if the rise is 4 and the run is 2 the answer is 4/2 or 2/1 which is 2

43
Q

when given 2 coordinates what do you do?

A

go across then up then draw a line between them

44
Q

What is a multiple?

A

The numbers multiplied together

45
Q

What is a factor?

A

Numbers that divide exactly into another number

46
Q

When doing standard and ordinary form which i sis positive and which was is negative when moving the decimal point?

A

Positive - left
Negative - right

47
Q

How do you calculate GST of a number?

A

Divide by 1.15

48
Q

How do you know to join the dots in a graph?

A

You join it if its continuous data

49
Q

What is continuous data?

A

Normally something you can measure like heights

50
Q

What is discrete data?

A

Normally an exact number like people in the class

51
Q

cm3 is what

A

mL

52
Q

When finding an angle if the numbers on the top or bottom what do you do?

A

If its on the top you divide, if the bottom, you times

53
Q

How do you show relationships on graphs?

A

The closer the dots the stronger, if is going uphill then its positive

54
Q

In a frequency table, how do you calculate the last column?

A

You times the two together

55
Q

how do you add gst to a numer

A

times by 1.15

56
Q

In inequalities how do you know if the circle is opened or closed and which way the arrow should point?

A

Closed if its the same as (arrow with line under) and the arrow points the way the symbol points

57
Q

How do you do limits of accuracy?

A

If it says round to nearest 10, half it and put 5 each side e.g 50 = 45 & 55

58
Q

How do you find a percentage of a number?

A

Divide the number by the percentages decimal form

59
Q

What is principal, rate and time?

A

principal - amount of money
rate - percentage
time - duration (time)

60
Q

Simplify algebraic surds and basic fractions.

A

Square root the number and divide the power by 2

61
Q

Angles on a straight line and interior angles add to

A

180

62
Q

Angles around a point and exterior anlges on polygons add to

A

360

63
Q

vertically opposite angles

A

are the same

64
Q

What is a co- interrior angle?

A

Inside the parallel lines in the same area ( add to 180 )

65
Q

What is alternate angle?

A

Both inside parallel lines but one on the other area ( same angle )

66
Q

What is corresponding angle?

A

one inside lines and one outside ( same )

67
Q

1m squared = how much L

A

1000

68
Q

Which side does the x go on in inequalities?

A

the side with more X’s

69
Q

What is the gradient?

A

The number before the x

70
Q

If theres a 0 on a fraction what do you do? e.g -2/0

A

You leave the 0 out so the answer would just be -2

71
Q

What is the y intercept in gradients?

A

the c in the equation mx + c

72
Q

How do you find range?

A

Highest number - lowest number

73
Q

How do you do ratio?

A

Add the two ratios together, use that as the denominator then the the other numbers as the numertor e.g for ratio 2:3 = 2/5 and 3/5

74
Q

How do you do percentage change?

A

n-o/o or noo

75
Q

How do you caculate interest ?

A

number x percentage of interest/100

76
Q

what is the difference between solving and factorising quadratics

A

in factorising u stop after the brackets, in solving u go all the way until you find x or y

77
Q

when do we add or subtract. in simultaneous equations

A

add if different subtract if same (SS)

End of yr exams - yr 10 (16 decks)

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