Marks: 48
Answer the following
1.
(a) (i) Draw the reflection of triangle T in the line x = 0. [2]
(ii) Draw the rotation of triangle T about (–2, –1) through 90° clockwise. [2]
(b) Describe fully the single transformation that maps triangle T onto triangle U. [2]
2.
(a) (i) Draw the reflection of triangle T in the line x = 0. [2]
(ii) Draw the rotation of triangle T about (–2, –1) through 90° clockwise. [2]
(b) Describe fully the single transformation that maps triangle T onto triangle U. [2]
2.
[3]b)
[3]
3.
(b) Find f -1(x). [2]
(c) Find gf(x) in its simplest form. [3]
(d) Solve the equation h-1(x) = 0.5 [1]
[1]
AB is parallel to DC.
AB = 55 m, BD = 70 m, angle ABD = 40° and angle BCD = 32°.
(a) Calculate AD [4]
(b) Calculate BC. [4]
(c) Calculate the area of ABCD. [3]
5. (i) Show that the volume of a metal sphere of radius 15 cm is 14 140 cm3, correct to 4 s.f [2]
(ii)Calculate the volume of water needed to fill the tank [3]
(iii) The sphere is removed from the tank. Calculate the depth, d, of water in the tank. [2]
6. [6]
(b) Determine whether each of the turning points is a maximum or a minimum.
Give reasons for your answers. [3]
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