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Maths > Year 10 > Flashcards

Year 10 Flashcards

1
Q

What are corresponding angles?

A

F angles, a line intersecting two parallel lines and the two angles below/above the parallel lines are equal..

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2
Q

What are alternate angles?

A

Z angles, when a line intersects two parallel lines the two corner angles in he z are equal..

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3
Q

What are supplementary angles?

A

angles which add up to 180, e.g. co-interior angles

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4
Q

What are vertically opposite angles

A

Ur dumb if I don’t know.

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5
Q

Formula for calculating the sum of the interior angles.

A

(Number of sides-2) times 180.

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6
Q

Interior + exterior angles = .

A

180.

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7
Q

The sum of the exterior angles of any polygon add up to.

A

360.

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8
Q

What is formed by two radii?.

A

An iscoceles triangle.

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9
Q

Two tangents from a point to a circle are….

A

Equal up to the point were they touch the circle.

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10
Q

A tangent is…… to the radius.

A

Perpendicular.

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11
Q

Angles su tended at the centre are .

A

Double that at the circumference .

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12
Q

Primary data .

A

Data you find yourself.

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13
Q

Secondary data.

A

Data you receive from someone else.

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14
Q

Qualitative data.

A

Data that is in in words.

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15
Q

Quantitative data is.

A

Data which has an amount , numbers.

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16
Q

Discrete data is.

A

Data you can count.

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17
Q

Continuous data is.

A

Data which has to be measured.

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18
Q

Random samples are.

A

where each peice of data has an equal chance of getting picked.

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19
Q

Systematic sample.

A

Data chosen in an orders method .

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20
Q

Stratified sample.

A

The proportion of people must be the same in the sample e.g if there were twice as many men as women we must pick twice as many men..

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21
Q

Equation for stratified samples ( to find number in category).

A

Number of category in sample = (no. in group divided by total population times) x sample size
.

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22
Q

Working out the mean from a table.

A

Class (shoe size) times by frequency to find total of mean then divide by total frequency..

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23
Q

Histogram:

Frequency density =.

A

frequency divided by class width

F    --- Fd X cw .
24
Q

how do you work out the number of sides to a regular polygon.

A

360 ÷ a

a = angle of the exterior angle

25
Q

How t expand single brackets

5(x+2y).

A

times the number outside the brackets by the stuff inside

5x + 10y.

26
Q

how to expand double brackets

x + 5)(x + 2

A

do the thing that looks like a rainbow. multiply one side of one bracket by one side of the other bracket then do the same with the other half.

x² + 10.

27
Q

How to factorise a quadratic expression

2x² + 7x + 5.

A

multiply the first number infront of the x by the last number. find out what adds up to the new last number and what adds up to the middle number. it can be generalised as ax² + bx + c where you multiply c by a and you find what multiplys to (a X c) and adds up to b. then split it in half and factorise.

28
Q

how to calculate volume of a pyramid .

A

1/3 x area of base x height.

29
Q

area of a circle.

A

pie r ².

30
Q

circumference of a circle.

A

2 pie r.

31
Q

how to calculate area of a square when it in algebra.

A

but them into double brackets and simplify.

32
Q

how to change the subject of a formula.

A

do the opposite to what is done on the other side..

33
Q

when using significant figures do you round or not?.

A

yes, only for the last one though.

34
Q

when multiplying indices you….

A

add a² + a² = a4.

35
Q

when dividing indices you.

A

minus a² / a² = a.

36
Q

To work out percentage change formula.

A

(change in value/original amount) x 100.

37
Q

What is the nth term of a normal triangular sequence? .

A

(n+1)/2

.

38
Q

What does y = mx + c mean?.

A 
m = gradient
c= y intercept
y = line .
39
Q

What are corresponding angles?.

A

F angles are equal.

40
Q

What are alternate angles?.

A

Z angles are equal.

41
Q

What are co interior angles?.

A

C angles which add up to 180.

42
Q

How to find the mean from a frequency table?.

A

total fx/total frequency

fx = frequency x value (first x second column).

43
Q

How to work out the median from a frequency table?.

A

(Total frequency + 1) /2.

44
Q

How do you divide a number by a fraction?.

A

times the number the bottom and divide by the top .

45
Q

How to work out the frequency of a histogram when you aren’t given the frequency density but are given the frequency of one column.

A

Find the value of one square then divide the total number of squares in that area by the value of the squares.

46
Q

How do you work out the lcm?.

A

1)express both numbers as a product of its prime factors
2) draw a Venn diagram and put the numbers which have a pair in the other number in the middle of the venn (7 is a factor of 14 and 35)
3) put the numbers which don’t have a pair in their respective circles
4) multiply them all together
if you don’t understand go to Corbett maths.

47
Q

How to find hcf from Venn diagram.

A

1) express the numbers as a product of its prime factors and put into venn diagram
2) multiply together the numbers in the middle..

48
Q

How do you find the enlarged shape from a centre of enlargement?.

A

Multiply the distances between the centre of enlargement and a point in the shape by the scale factor.

49
Q

How do you work out the surface area of a cylinder?.

A

Separate the cylinder out into a rectangle and two circles and find the surface area of them and add together
C=[pie]r2.

50
Q

How do you work out the volume of a cone?.

A

1/3 x (pie x r2) x h.

51
Q

How do you work out the volume of a pyramid? .

A

1/3 x base area x height.

52
Q

How do you work out the circumference of section of a circle?.

A

2{pie}r x (degrees out of 360).

53
Q

How do you find the mean from a grouped frequency table?.

A

1) find midpoint
2)times the mid point by the frequency
3) Divide total(mp x freq) by total frequency
.

54
Q

How do you find the position of the median in a frequency table?.

A

(n+1)/2.

55
Q

What is the equation for working out the median from a grouped frequency table?.

A

lower band x (number into category/total in category) x class width.

Maths (10 decks)

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