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STANDARD FORM. It’s a number between 1 and 10 times by a power of 10. e.g. 450 is 4.5 x 10 2 Use the exp button on the calculator. POWERS. Add the powers when multiplying Take away when dividing Power of 0 is 1 Fraction powers: ½ is square root, 1/3 is cube root
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STANDARD FORM It’s a number between 1 and 10 times by a power of 10. e.g. 450 is 4.5 x 102 Use the exp button on the calculator
POWERS • Add the powers when multiplying • Take away when dividing • Power of 0 is 1 • Fraction powers: ½ is square root, 1/3 is cube root • Negative powers are 1 over the positive power
FRACTIONS • Fraction of – divide by the bottom, times by the top. • Add, subtract – make the bottoms the same • Divide – turn the 2nd fraction upside down and times
COORDINATES • For 3d coordinates follow the axes as x,y,z • To find midpoints add the x’s then halve. Do the same for the y’s and z’s.
ANGLES • Parallel lines- the FUZ is the CIA • Bearings measure clockwise from North
LCM and HCF • LCM is a multiple, so is bigger than the start numbers • HCF is a factor, so is smaller than the start numbers
AREA • Rectangle is length x width • Triangle is height x base / 2 • Trapezium is (add parallel sides) x height /2 • Compound shapes – split into easier shapes then add together
VOLUME • Prisms – Area of front x length
EXPANDING BRACKETS • Two brackets together – eyebrows and smiley face are 4 multiplies
FACTORISING BRACKETS • Pick the x’s to times together • Pick the numbers to times to the question • Check the smiley face to see if the x term is right
STRAIGHT LINES • Form is y=mx+c • To plot the line, take 3 • x values and find out the y values that go with them
CIRCLE ANGLES The angle between a tangent and a radius is 90o