I do not need working out for these, just the answer, Thank you!

1.) A ball is launched into the air from below a cliff, such that after t seconds its height above the cliff top is h metres, and is given by the equation,

h= -4.9t(squared) + 29.4t - 38.1

Calculate, to the nearest metre, the maximum height the ball achieves above the cliff top. Enter the answer below, as a number without units.

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2.) Calculate the size of one of the interior angles of a regular dodecagon (i.e. a regular 12-sided polygon).

Enter the number of degrees to the nearest whole number in the box below.

(Your answer should be a whole number, without a degrees sign.)

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3.) Calculate the volume of a cone of radius 3.1?m and height 3.4?m.

Enter the volume in cubic metres in the box below, to one decimal place.

(Your answer should be a number, without units.)

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4.) Thomas has taken up running to get fit. The first week he runs 2?km each day. The second week he runs 3.1?km each day, the third week he runs 4.2?km each day, and so on. Assuming this pattern forms an arithmetic sequence, how far will he need to run each day in week 14? (Your answer should be a number, without units.)

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5.) Joshua has taken up cycling to get fit. The first day he cycles 8?km. The second day he cycles 11?km, the third day he cycles 14?km, and so on. How far will he have cycled in total after 10 days? (Your answer should be a number, without units.)

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6.) Expand the brackets in the expression (4???3?y)(4?+?3?y), then choose the correct option from the list for each of the statements below:

The coefficient of y(squared) is - 16, 7, -7, 12, 0, -9, -16, 3, -4, -3, 9, -12, 4

The coefficient of y is - 16, 7, -7, 12, 0, -9, -16, 3, -4, -3, 9, -12, 4

The constant term is - 16, 7, -7, 12, 0, -9, -16, 3, -4, -3, 9, -12, 4

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7.) A parabola is given by the equation

y = x(squared) + 2x - 3

Select the option from the list below that gives the coordinates of its vertex.

(1,-4), (-1,4), (1,4), (-1,-4), (-4,-1)

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8.) Calculate the discriminant of the quadratic expression

2x(squared) + 5x - 4

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9.) The following quadratic equation has integer solutions.

x(squared) - 3x - 10 = 0

What is the positive solution of the equation?

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10.) A certain parabola has the following features:

The parabola is u-shaped.

The parabola has axis of symmetry x?=?0.

The parabola has y-intercept (0,??2).

The point (1,?0) lies on the parabola.

Select the option below that gives the quadratic equation corresponding to this parabola

y = -2x(squared) - 2

y = 2x(squared) + 2

y = 2x(squared) - 2

y = -2x(squared) + 2

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11.) A ball is launched into the air from below a cliff, such that after t seconds its height above the cliff top is h metres, and is given by the equation

h = -4.9t(sqauared) + 29.4t - 38.1

Calculate, to the nearest metre, the maximum height the ball achieves above the cliff top.

Enter your as a number without units.

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12.)

Select the option that gives an angle equal to 0 in the following diagram. A C 8 B D Select one: O ZCDB O ZBCD O ZABD O ZACB O ZCBDCalculate the length of the third side of the following triangle. 3 m 12 m Enter the length in metres the box below, rounded to one decimal place. (Your answer should be a number, without units.)Choose an expression from the list below which is equivalent to the expression # #5 252 8s Select one: O s 4t O 4ts? o 16s7 O 4 t O 4 ts? O 4t Rearrange the following equation to make a the subject, and select the correct rearrangement from the list below. 2a -4b = 3a+b Select one: 56 7 19b 7 O a = 3b O a= - 19b 13 O a = -21b 216 13 O a= -5bDrag the words below to complete the following sentences. The quadratic equation y = 2x- + 5x + 4 corresponds to a parabola that is -shaped and therefore has a value. It has x-intercept(S). LI n minimum maximum no two oneCalculate the area of the following shape. 3.0 m 1.0 m 2.0 m 1.0 m Enter the number of square metres in the box below. (Your answer should be a number, without units.)In the diagram below, ABCD and CEFG are rectangles. A + B 19 F E 5 G D C 6 Choose the two options below that give a correct expression for the area of ABEFGD (which is shaded in the diagram). Select one or more: O (s+5)(5-6) O $2 + 30 s(5 + 5) (s + 6) 0 83 + 58 + 30 O (5 - 5)(5 - 6) O $2 + 58 - 30 O s(s + 5) - 30