Increase 60 by the following ratios: a) 2:3, b) 5:6, c) 7:12, d) 3:5, e) 1:4, f) 13:15.

Decrease 30 by the following ratios: a) 3:4, b) 2:9, c) 7:12, d) 3:16, e) 5:8, f) 9:20.

The area of an island on a map is $30 \mathrm{cm}^{2} .$ The scale used on the map is 1: 100000. a) Calculate the area in square kilometres of the real island. b) An airport on the island is on a rectangular piece of land measuring 3 km by 2 km. Calculate the area of the airport on the map in $cm^{2}$

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. Your promises are great, but if you don't show some $\mathit{palpable}$ progress on the project, the teacher will...

From the list below, supply the words needed to complete the paragraph. Some words will not be used. dastardly, gist, entity, jaded, ogre, bandy, charisma. The _____ athlete, accustomed to winning first place, wanted to be happy with her third-place trophy, but deep down, she felt that months of intensive training had gone to waste. On the bus ride home, she refused to _____ compliments or even joke about the race with her teammates. She could think only about the _____ runner who intentionally tripped her early in the race and likely cost her the win. Myra could not believe that such an unsportsmanlike _____ was allowed to compete in track meets. Myra didn't see the other girl after the race, but merely thinking of that horrid _____ would haunt Myra for weeks to come.

Solve the following quadratic equation by factorisation: $x^{2}-x=20$

Increase 70 by the following ratios:

a 4:3

b 5:3

c 8:7

d 9:4

e 11:5

f 17:14

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. The man working in the reptile exhibit used a $\mathit{gaff}$ to...

Six people can dig a trench in 8 hours. a) How long would it take: i) 4 people, ii) 12 people, iii) 1 person? b) How many people would it take to dig the trench in: i) 3 hours, ii) 16 hours, iii) 1 hour?

Below are some instructions relating to a washing machine in English, French, German, Dutch and Italian. Analyse the data and write a report. You may wish to comment upon: i) the length of words in each language, ii) the frequency of letters of the alphabet in different languages.

For each of the following quadratic functions, construct a table of values and then draw the graph. $y=-x^{2}+2 x+3, \ -3 \leq x \leq 5$

A swimming pool is filled in 30 hours by two identical pumps. How much quicker would it be filled if five similar pumps were used instead?

Find $y^{\prime}$. $y=|3 x|$

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.