Unformatted text preview: 10 11 MmHscs Simplify i) Via + V5) ii) (Ni)2 Find the differentials of each of the following: .. 3
i) 4X3X5 ii) §+ 6x2 in) (4+8x)
Solve the equations:
2 2
i) lx4l :1 ii) x —8x9=0 111) 12xx :0 If cost) =§ and 6 is acute, ﬁnd the exact value of tane. 5 ABCD is a parallelogram. i)
ii)
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iv) If angle BAC = x°, write down the size of angle ACD in terms of x. Give reasons.
If angle BCA = y°, write down the size of angle CAD in terms of y. Hence, prove that AADC is congruent to ACBA Hence, prove that AB = DC. The ﬁrst term of an AP (arithmetic progression) is 64. The common difference is 5. i)
ii)
iii) Write down the next two terms.
Find the 20th term.
Find the sum of 20 terms. 2 Solve the quadratic equation 4x + 9x  2 = 0 using the quadratic formula. If y = x3  12x, ﬁnd the value(s) of x for which %E = 0 2
Find the equation of the tangent to y = x which is parallel to y = 6x + 20 Simplify sin60.cos30 ABCD is a rectangle where A = (1,3) B = (5,3) C = (5,4) i)
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V) i) ii) Show these points on a Cartesian diagram.
Find the coordinates of D Find the coordinates of M the midpoint of AC
Show that M is also the midpoint of BD Find the area of AAMD in square units. State what is meant by "similar" triangles
Write down the 3 tests for similar triangles. ...
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 Spring '14

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