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Topic list : 11/ 20
Algebraic fractions ✅✅✅✅✅ |
Angles. ✅✅✅✅ |
- all triangles have angles that add up to 180 ,( in a equilateral trisngle all angles = 60 degrees)
- angles on a straight line add up to 180
- angles around a point add up to 360
- angles in a quadrilateral add up to 360
- gcse ko pg 48 , 36-37 !!!
- angles around parallel lines : 2 bunchs of angles r formed. - 2 diffrent ACTUAL angles (a and b) VERTICALLY opposing angles r equal.
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- THESE SHAPES HAVE MATCHING ANGLES !! (1st anf second angle are both a)
- ALTERNATE (z shaped) AND CORRESPONDING ANGLES ( F shaped , with the longest line in the f tilting , like "F" - please note it is the NOT the angles that that facing each other, but rather "mirroring" each other and can NOT "see" each other. ,)
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- allied angles are the ones that can "see" eachother, in a "C" or "U" shape, with sharp edges instead of curves. the allied angles add up to 180 , a+b=180 DEGREES
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Changing the subject of an equation ✅✅✅ |
Construction. 💔 |
Cumulative frequency. |
Direct proprtion. ✅✅✅✅ |
- y∝x , y=kx !! so x times k equals y.
- k is ALWAYS the same.
- 𝑎𝑥+𝑏=3𝑥+2 ,
- so a=3 as they have the same "ending" (x) which means b HAS to be 2.
- as ax = 3x cancel out leaving us with b=2.
Factorisation |
Forming and solving equations✅✅✅|
Graphing inequalities.✅✅✅ |
- y<mx+c or y>mx+c PLUS C IS WHERE IT HITS THE Y AXIS!!!!
- y> , y is MORE than, so you shade ABOVE the line.
- y< , y is LESS than so you shade BELOW the line.
- y≥ OR y≤ means y is more/less than or EQUAL TOO. in this case the line will be BOLD. think about it as going OVER the line AGAIN because there TWO pieces of infomation.
- y> OR y< means its just MORE/LESS - in this case the line is DOTTED. as there is only ONE piece of infomation so you dont go over it AGAIN. only once - not twice.
Indices ✅✅✅ |
- yˣ - y to the power of x.
- ----- FRACTIONAL INDICES!!!!!!
- y¹/² = √ y - why? because we SQUARE by the TOP number - think the square operation is the "positive" one and the positive stuff is at the "top" - assoicate the words of pos/up/first tg.
- so it would be y¹ , which is y. so now we have /2 which is 2 root. so we get root y. simple!
- soooo 25³/² would be 25 cubed (= 15625) now root SQUARE that bc of the /2. , you'd get 125.
- ------ NEGATIVE INDICES!!!!!
- y-⁻ˣ = 1/yˣ SOOOO
- 3-⁻² = 1/3² = 1/9th !!!
- note- u can MIX N MATCH FRACTIONS N NEGITNVES!! BE CAREFUL!!
Percentages ✅✅✅✅ |
- standard facts as its a NON CALC paper (donr worry about converting to a decimal and multiplying)
- 10% of anything is a 1/10th of it (divide by 10)
- 5% is 1/2 of 10%
- doubling a number is increasing (ADDING!!! ) by 100%!!! (25 + 100% = 50) as 25 IS 100%!!!
- BUTTTTTTT!! 25 X 100%=25 as 100% in THAT case is refering to 1 (100/100 = 1) when you a multiplying you are "unlocking the division", hence to why you have to take to account the %.)
Probability - tree diagrams. ✅✅ ✅ |
- bc its a diagram its horrible to try to show it on a text format , but i know you (i) know what i'm on about ,
- "3 red dice 2 blue dice in a sack" chance to pick out one
- 3/5RED and 2/5BLUE
- i pick out one and KEEP it, and do it again, propbliltjy?
- 3/5 RED 1st round leads toooo...
- 2/4 chance of getting blue 2ND ROUND !!
- 2/4 chance of getting red 2ND ROUND!!
- Alternatively, 2/5 blue leads toooo...
- 1/4 chance of getting blue
- 3/4 chance of getting red
- multiply the branches across to get the end probabilities!!
- e.g prob of getting red then blue is..
- 3/5 (first time) TIMES (X) 2/4 (2nd time) = 6/20 DONR SIMPLIFUYY!!!
Ratio |
- 3:7 = 3/10 or 7/10
Solving linear equations
Standard form |
Surds |
Transformations - enlargements
Vectors✅✅✅. |
- the find the pathway stuff
- b mindful if "x" js a part of a line or the WHOLE line , opposing the line means -x as u r AGAINST it. NEGATIVE!!
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