The table below represents the relationship between the speed and the time taken for a train to travel between two stations.

$$\begin{matrix} \text{Speed (km/h)} & \text{60} & \text{ } & \text{ } & \text{120} & \text{90} & \text{50} & \text{10}\\ \text{Time (h)} & \text{2} & \text{3} & \text{4} & \text{ } & \text{ } & \text{ } & \text{ }\\ \end{matrix}$$

Copy and complete the table.

The table below shows the distance a train traveled over time. How can you determine the equation that represents this relationship?

$$\begin{array}{|c|c|} \hline \text { Time (s)} & \text { Distance }(\mathrm{m}) \\ \hline 2 & 25 \\ \hline 4 & 50 \\ \hline 6 & 75 \\ \hline 8 & 100 \\ \hline \end{array}$$

A teacher shares sweets among 8 students so that they get 6 each. How many sweets would they each have got had there been 12 students?

A small company makes a profit of $8000. This is divided between the directors in the ratio of their initial investments. If Alex put$20000 into the firm, Maria $35000 and Ahmet$25000, calculate the amount of the profit they will each receive.

Seven is added to three times a number. The result is then doubled. If the answer is 68, calculate the number.

Complete the sentences by inferring information about the italicized word from its context. Nolan went to the library to $\mathit{hone}$ his understanding of chemistry by...

A census taker was going from door to door in a neighborhood, gathering information on the number of people living at each address and their ages. He came to the door of a math teacher who answered the knock. The census taker and the math teacher had the following conversation. Census Taker: Good morning, Miss! I am gathering information for the census. How Many people are living at this address? Math Teacher: I live here with my husband and three children. Census Taker: Great! What are your children’s ages? Math Teacher. Well, since i teach math and i love creating mathematical riddles, I am going to ask you to figure out their ages. First, let me tell you that the product of their ages is 72. Census Taker: That's fine, but I still need more information. Math Teacher: Okay, the sum of their ages is the same as the street address number of my house. Census Taker: Oh, i see! At this point, the census taker looked at the number on the house and thought for a couple of minutes. Census Taker: I see the house number, but unfortunately l still need more information. Math Teacher: That's true. You do still need more information. Okay, my oldest child really likes spinach. After thinking about this new information for a minute, the census taker recorded the children's ages. Then the census taker asked for the math teacher’s age and her husband’s age and recorded these as well. The census taker thanked the math teacher and went on his way. List all the possible ages for the children.

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. Dan tried to $\mathit{eradicate}$...

Find the value of each interior angle of a regular polygon with 24 sides.

Increase 150 by a ratio of 7:5.

For each of the functions below: i) draw up a table of values of x and f(x). ii) plot a graph of the function. $f(x)=2^{x}+3, \ -3 \leq x \leq 3$

Which function is continuous? (A) Number of children enrolled in a particular school as a function of time, (B) Outdoor temperature as a function of time, (C) Cost of U.S. postage as a function of the weight of the letter, (D) Price of a stock as a function of time, (E) Number of soft drinks sold at a ballpark as a function of outdoor temperature,

$\frac{5}{9}$ of a litre carton of orange is pure orange juice, the rest is water. How many millilitres of each are in the carton?

Increase 100 by the following ratios: a) 8:5, b) 5:2, c) 7:4, d) 11:10, e) 9:4, f) 32:25.