1. It takes 6 decorators 35 hours to decorate the interior of a large house.
- How many hours would it take 4 decorators?
- What is the minimum number of decorators it would it take to do the job in under 3 hours?
[3 marks]
2. If u is 15 percent less than v and v is 12 percent less than w, by what percentage is u less than w?
[3 marks]
3. If the ratio of A:B is 4:9 and the ratio of B:C is 5:3, what is the ratio of A:C?
[2 marks]
4. The population of insects in a waste bin increases by 19% every hour. If there are 150 insects to begin with, after how many hours will there be more than 2000 insects?
[3 marks]
5. Make $x$ the subject:
- $y=\sqrt{\dfrac{3x-2}{5}}$
- $y^2=\dfrac{x^2-2}{1-x^2}$
[6 marks]
6. In a class of $(11x+2)$ people, there are 3 music tastes: Pop (P), Classical (C) and Dance (D). Each student likes at least one type of music.
There are $(6x+3)$ students who like pop.
There are $(5x+4)$ students who like classical.
There are $6x$ students who like dance.
There are $4x$ students who like pop and classical.
There are $(3x-1)$ students who like pop and dance.
There are $(4x-1)$ students who like dance and classical.
There are $(x+1)$ students who like dance, pop and classical
Draw a Venn Diagram and use it find x and hence the number of students in the class
[5 marks]
7. In a 100 question test I get 5 points for every correct answer but lose 2 points for every incorrect answer score was 297. Let $x$ be the number of questions I got correct. Write down an equation for $x$ and solve it.
[4 marks]
8. Find the equation of a line which is parallel to the line $5x-4y=6$ but goes through the point (-1,3). Give your answer in the form $ay+bx=c$
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