flashcards
Describe fully the single transformation that maps shape A onto shape B
Enlarge the triangle with a scale factor of -1/3 using (3,1) as the centre of enlargement
What is angle OCA and why?
90°
Because the tangent meets the radius at 90°
Prove that angle OCA is 90°
What is angle COA and why?
2x , because angles at the centre are twice the angles at the circumference
Prove that angle COA is 2x
What is angle ABC and why ?
90° , because angles in a semi circle are always 90°
Why is angle ABC 90°
If angle CDA is 80° what is angle ABC?
100° , because opposite angles in a cyclical quadrilateral add up to 180°
If angle BAC is 85, then what is angle BDC?
85°. Because angles from the same segment are equal
Why is angle BDC also x ?
If angle DBQ is 65° what is angle BCA?
65°, because of the alternate segment theorem
Why is angle BCA = angle DBQ?
How do you calculate the volume of a frustum?
What is the quadratic formula?
Factorising difference of two squares
If CA =8cm , what is AB and why?
8cm , because two tangents from the same point are equal
How do you convert time to decimal? ,
How would you draw a cumulative frequency graph?
How do you find the median class, from the cumulative frequency graph?
How do you find the perimeter and area of a sector?
How do you calculate the area and perimeter of a segment?
How do you calculate the area of a kite ?
How do you calculate the area of a trapezium?
What is the difference between
mutually exclusive events and independent events?
Mutually exclusive events cannot take place at the same time.
Eg : when flipping a coin you cannot get heads AND tails at the same time
You can always find the intersection using the AND rule
Independent events don’t rely on the previous events , but you can do both
How do you solve quadratic sequences?
How do you draw box plots?
Compare the following box plots
How do you calculate percentage change ?
What are the reverse percentages?
Basically just ratios
How do you turn recurring decimals into fractions?
*dot notations
