Determine the interquartile range.

What percentage of plants has a height in excess of 53cm?

Between which quartiles do the heights of the trees have the least variation? Explain

Part 1: Draw a scatter plot to represent the data.

Part 2: Draw a line (or curve) of best fit

Describe the trend of the data.

Estimate the probability of having a car accident when one's blood alcohol level is 0.18%. (The legal limit of blood alcohol level is 0.05%)

Estimate the number of people who took more than 15minutes to leave the auditorium.

Estimate the number of people who took between 8 and 12 minutes to leave the auditorium.

Write down the modal class of data.

In which school (A; B or C) is the majority of the results more widely spread around the mean? Give a reason for your answer.

What is the difference in the spread around the respective means of the marks in School A and School C?

Explain how the marks of School A must be adjusted to match the marks of School C.

If each mark in School C is lowered by 10%, explain the effect it will have on the mean and standard deviation of this school.

Determine the gradient of PT, correct to the nearest integer value.

Determine the equation of PT in the form y = mx + c

Determine the distance PS in surd form

Determine the coordinates of T

Determine the coordinates of R

Calculate the area of ΔPTR.

Show that M is the point (3 ; -1).

Determine the equation of MR in the form y = mx + c.

Show that q = 2-p.

Determine the values of p and q.

Determine teh equation of the circle having centre O and passing through N.

Calculate the eqaution of the circle centred at M.

Calculate the ratio in its simplest form:`(NP)/(MP)`

Determine the image of P(x ; y) if P is rotated through 90^o about the origin in a clockwise direction and then reflected about the y-axis.

Determine the image of P(x ; y) if P is reflected about the y-axis and through 90^o about the origin in a clockwise direction.

Mo and Ziya argue about the image of P(x ; y) under the following transformations:

• Rotation through 90^o about the origin in a clockwise direction


• Reflection about the y-axis

Mo claims that the order in which the transformation are performed will affect the final position of the image. Ziya argues that the final position of the image will be the same, irrespective of the order in which the transformations are performed.

Which of the two, Mo or Ziya, is correct in this case? Explain.

A rigid transformation is applied to ΔABC to obtain ΔPQR as shown. R(-4 ; 3) is the image of C. Describe fully, in word, the transformation from ΔABC to ΔPQR.

ΔPQR is reflected about the line y = x. Determine the coordinates of R^/, the image of R.

ΔABC is enlarged through the origin to obtain ΔA^/B^/C^/ such that:

Part 1: Determine the scale factor of the enlargement.

Part 2: If AC = `sqrt(10)` units, write down the length of A^/C^/

After a rigid transformation is applied to ΔABC to obtain ΔDEF, F(0; 1) is the image of C. If E is the poin (s ; t), write down an equation in terms of s and t.

Show that `theta` = 195^o

When the wheel is rotated at a uniform speed in a clockwise direction, it takes 1.3 seconds for T to travel to W. Calculate the speed, in revolutions per minute, at which the wheel is rotated.

cos`alpha`

tan (180 - `alpha`)

sin (30 - `alpha`)

Prove the following identity: `(cos^2(90^o + theta))/(cos(-theta) + sin(90^o - theta)costheta` = `(1)/(costheta)-1`

Determine the general solution of: tanxsinx + cosxtanx = 0.

Consider the following expression: 2sin²3x - sin²x - cos²x

Part 1: Simplify the expression to a single trigonometric ratio of x.

Part 2: Write down the maximum value of the expression.

Determine the following trigonometric ratios in terms of p and/or q:

a. cos 2`alpha` [3 marks]

b. tan ` ` `alpha` [4 marks]

Simplify `(p)/(2q)` – `(q)/(2p)` to a single trigonometric ratio of `alpha`

Draw the graphs of f(x) = tanx + 1 and g(x) = cos2x for x `in` [-180^o ; 180^o] on the same system of axes provided (see attached resource). Clearly show all intercepts with the axes, turning points and asymptotes.

Write down the period of g

If h(x)= -cos2(x+10^o); describe fully, in words, the transformation from g to h.

For which values of x, where x > 0, will f’(x)g(x) > 0?

Calculate the size of the angle at the apex of the face of the pyramid (for example C ÊB).

Calculate the angle each face makes with the base (for example EF̂G, where EF _|_ AB in ΔAEB).