4.1 Homework 1

Homework 1: To be done neatly in the front of your books
TOTAL 26 marks

1. It takes 6 lawnmowers 13 hours to mow all the Wimbledon tennis courts.

1. How many hours would it take 17 mowers?
2. What is the minimum number of mowers it would it take to do the job in under 3 hours?

[3 marks]

2. If u is 15 percent more than v and v is 63 percent less than w, by what percentage is u less than w?

[3 marks]

3. If the ratio of A:B is 3:5 and the ratio of B:C is 7:2, what is the ratio of A:C?

[2 marks]

4. A microchip measures $6.1\times10^{-4}mm$ by $4\times10^{-3}mm$, find (show all your working)

1. The perimeter of the chip giving your answer in standard form
2. The area of the chip giving your answer in standard form

[3 marks]

5. Show all your working out and leave answers as mixed numbers where needed:

1. $3\dfrac{2}{5} - 1\dfrac{3}{4}$
2. $5\dfrac{4}{7} \times 1\dfrac{1}{6}$
3. $2\dfrac{2}{5} \div 4\dfrac{3}{4}$

[6 marks]

6. The population of carp in a fishing lake increases by 12 percent each year. If there are 200 carp to begin with, after how many years will there be more than 1000 carp (calculator allowed)?

[3 marks]

7. Make $x$ the subject:

1. $y=\dfrac{3x-2}{5}$
2. $y=\dfrac{x-2}{1-x}$
3. $y^2=\dfrac{5x^2-2}{3}$

[6 marks]