5c2 Maths Homework
Set Monday 09/01/17. Due on or before Wednesday 18th January 2017.
CALCULATORS WILL BE NEEDED
Study Support available after school on WEDNESDAY with Mr Watkins
(also MONDAY with Mr Davidson and THURSDAY with Miss Logan or Miss Mesouani)
If you don’t do homework properly, you will fail your maths exam. Harsh, but true.
Make sure you try all the questions and ask me for help if you need to.
Not attempting one of the questions means you’ve not done the homework properly.
Question 1 – Topic: Factorising (Difference of Two Squares). Revision notes: roughly p23.
Factorise:
(a) x2  36
(b) 9e2  100 f 2
Question 2 – Topic: Factorising (Two Brackets). Revision notes: roughly page 26-27.
Factorise:
(a) g 2  4 g  21
(b) 4a 2  16a  15
Question 3 – Topic: Factorising (Mixed).
Choose the correct method to factorise:
(a) a2  4b2
(b) h2  7h  10
(c) 2a 2  5a  3
Question 4 – Topic: Simultaneous Equations. National 5 revision notes: roughly pages 45-47
*** we covered this before the summer holidays. USE YOUR NOTES OR ASK ME TO
REMIND YOURSELF HOW TO DO IT ***
2 apples and 5 pears cost 90 pence.
3 apples and 1 pear cost 57 pence.
a) Write down two equations to represent this information
b) Solve the equations, and use this to find the cost of 4 apples and 3 pears.
Question 5 – Topic: Quadratic Formula. National 5 Maths revision notes: roughly p 55
b  b 2  4ac
to solve the equation 3 x 2  7 x  1  0 , giving
2a
your answers correct to 2 decimal places.
Use the formula x 
Question 6 –
Topic: Percentage Appreciation/Depreciation. N5 Maths revision notes: roughly p 84
A colony of bacteria increases in size by 38% every hour. If there are 38000 bacteria
initially, how many will there be after 6 hours? Round your answer to 3 significant
figures.
The remaining questions are over the page 
Question 7 – Topic: Graphs. National 5 Maths revision notes: roughly page 39 and 51
(a) For the straight line shown below,
write down the:
(a) Gradient (m)
(b) y-intercept (c)
(c) equation
5
(b)
For the parabola shown below
write down its equation in
the form y  ( x  a) 2  b
y
4
3
2
x
1
−5
−4
−3
−2
−1
1
2
3
4
5
−1
−2
−3
−4
−5
Question 8 – Topic: Volumes of Solids. National 5 Maths notes: roughly pages 36-38
Which of the two tubs of ‘Perfecto’ ice cream shown below is bigger, and by how much?
Formulae
Volume of a cylinder
Volume of a cone
Volume of a sphere
V   r 2h
1
V   r 2h
3
4
V   r3
3