Complete the second column of the table by giving one example of a number from each set.

In the table indicate which two of the given statements are true by placing a tick (✔) in the right hand column.

Use Giovanni's diagram to calculate the length of AX.

Use your graphic display calculator to write down r , Pearson’s product–moment correlation coefficient.

Use the regression line y on x to estimate Jerome’s examination score.

In the context of this model, state what the value of 19 represents.

Find the value of $x$.

Calculate the value of the commission, in MXN, that Harry paid.

Find the total cost for Eddie’s order.

Find the area of a circle with radius $4.5 \text{m}$.

Place the numbers $2\pi \text{,}-5\text{,}{3}^{-1}$ and $2^{\frac{3}{2}}$ in the correct position on the Venn diagram.

For the data from these seven species describe the correlation between the average body weight and the average weight of the brain.

Calculate 14 000 USD in INR.

Write down the median length of these leaves.

Complete the following table by placing ticks (✓) to show which of the number sets $\mathbb{N}$, $\mathbb{Z}$, $\mathbb{Q}$, and $\mathbb{R}$ these numbers belong to. The first row has been completed as an example.

Find the exact value of m and of c for these data.

Find the cost of a single pack of five tiles.

Find the minimum number of packs of tiles Eddie will need to order.

Write down $n\left(A\cap B^{\prime }\right)$.

Use your regression line to estimate the average weight of the brain of grey wolves.

Write down the value of x.

Find the size of angle $\text{C}\stackrel{\wedge }{\text{A}}\text{D}$.

Use your graphic display calculator to write down $\overline{y}$, the mean examination score.

Express this volume in $\text{c}{\text{m}}^3$.

Find the area of ABCD.

Calculate, to the nearest second, the time since the pizza was taken out of the oven until it can be eaten.

Write down the number of leaves with a length less than or equal to 8 cm.

Calculate the volume of the paperweight.

1 cm³ of glass has a mass of 2.56 grams.

Calculate the mass, in grams, of the paperweight.

Calculate the amount that Velina receives in DKK.

Write down the elements that belong to $A\cap B$.

Calculate the amount, in DKK, that will be left to exchange after commission.

Calculate the amount of MXN Harry received.

Josh states: “Every integer is a natural number”.

Write down whether Josh’s statement is correct. Justify your answer.

Find the range of the average body weights for these seven species of mammal.

Karl decides to donate this interest to a charity in France. The charity receives 170 euros (EUR). The exchange rate is 1 USD = t EUR.

Calculate the value of t.

For the data from these seven species calculate $r$, the Pearson’s product–moment correlation coefficient;

Find the value of $a$.

Find the percentage error on Giovanni’s diagram.

Find the value of $r$.

Calculate, in years, when the bicycle value will be less than 50 USD.

The factory director wants to increase the volume of coconut water sold per container.

State whether or not they should replace the cone-shaped containers with cylinder‑shaped containers. Justify your conclusion.

Calculate the amount of PEN she receives.

Harinder chose option B. At the end of five years, Harinder converted this investment back to USD. The exchange rate, at that time, was 1 USD = 67.16 INR.

Calculate how much more money, in USD, Harinder earned by choosing option B instead of option A.

Find the radius of the sphere in cm, correct to one decimal place.

Calculate, in CAD, the total amount John pays for the bicycle.

Calculate the amount of USD she receives.

There is a number $m$ beyond which the turtle population will not decrease.

Find the value of $m$. Justify your answer.

Find the percentage error in Abdallah’s estimate.

Use this exchange rate to calculate the amount of ARS that is equal to 350 AUD.

Find the amount of Euros that Claudia receives. Give your answer correct to two decimal places.

Calculate the volume of this pan.

Find the temperature that the pizza will be 5 minutes after it is taken out of the oven.

Using your answer to part (e), find the value of $r$ which minimizes $A$.

Calculate the total amount, in USD, that Javier has remaining from his 5000 USD after his trip to Venezuela.

Justify whether it is valid to use the regression line y on x to estimate Jerome’s examination score.

Write down the common difference, $d$.

Find the total amount of fuel pumped into the tank in the first $8$ hours.

Show that the tank will never be completely filled using this pump.

Use Giovanni's diagram to find the length of BX, the horizontal displacement of the Tower.

Write down the number of hours that the pump was pumping fuel into the tank.

Find the time, in years, for the population to decrease to 20 turtles.

Find $\frac{\text{d}A}{\text{d}r}$.

Giovanni adds a point D to his diagram, such that BD = 45 m, and another triangle is formed.

Find the angle of elevation of A from D.

Use Giovanni’s diagram to show that angle ABC, the angle at which the Tower is leaning relative to the
horizontal, is 85° to the nearest degree.

Find the slant height of the cone-shaped container.

Find the slant height of the cone-shaped container.

Write down the amount of interest he earned after 5 years.

Calculate the amount of money he has in the account after 5 years.

Calculate the amount of VEF that Javier receives.

Calculate the amount of this investment, in INR, in this account after five years.

Calculate the radius of the base of the cone which has been removed.

Show that the volume of the tank is $624 000 {\text{m}}^3$, correct to three significant figures.

Calculate the time, in minutes, it takes for light from the Sun to reach the Earth.

Find the percentage error in your estimate in part (d).

Calculate angle $\mathrm{B}\hat{\mathrm{C}}\mathrm{D}$.

Find $h$, the height of the tank.

Write down, in terms of $r$ and $h$, an equation for the volume of this water container.

Write down a formula for $A$, the surface area to be coated.

Find the least number of cans of water-resistant material that will coat the area in part (g).

Write down the equation of the regression line $y$ on $x$, in the form $y=mx+c$.

Find the size of angle $\text{A}\stackrel{\wedge }{\text{C}}\text{D}$.

Find the amount of fuel pumped into the tank in the $\text{13th}$ hour.

Find the value of $a$.

Calculate Abdallah’s estimate for the area.

Show that $A=\pi r^2+\frac{1000000}{r}$.

Write down the elements that belong to $A\cap B^{\prime }$.

Find the value of this minimum area.

Show that $\text{BD}=93\text{ m}$ correct to the nearest metre.

Calculate the value of r.

Find the height, $h$, of this cylinder-shaped container.

Find the total amount John has paid to insure his bicycle for the first 5 years.

Calculate the total amount of ARS Jose paid to get 350 AUD.

Find the value of $n$ such that $u_n=0$.

Hence, calculate the amount of USD she receives.

Show that the total surface area of the cone-shaped container is 314 cm², correct to three significant figures.

Find the value of the bicycle during the 5th year. Give your answer to two decimal places.

Write your answer to part (b)(ii) in the form $a\times {10}^k$, where .