3b1 Homework
Set Tuesday 12/01/16. Due on or before Tuesday 19th January 2016.
CALCULATORS WILL BE NEEDED
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.
This is a
practice
Question 1 – Topic: Surds.
Simplify the surd
for the
test
we will be sitting in class soon
National 5 Maths revision notes: roughly page 16
32
Question 2 – Topic: Scientific Notation.
Revision notes: roughly page 20
The average distance from the Earth to the Moon is 3·8 × 105 km.
The average distance from the Earth to the Sun is 380 bigger than the
average distance from the Earth to the Moon.
Calculate the average distance from the Earth to the Sun. Give your
answer in scientific notation.
Question 3 – Topic: Brackets.
Revision notes: roughly pages 21-22
Expand the brackets and simplify where appropriate:
(a)
a(5a + b)
(b)
(m + 4)(m + 3)
Question 4 – Topic: Fractions in algebra.
Revision notes: roughly page 29-32
(a)
Simplify the fraction:
(2 x  1)( x  3)
( x  3) 2
(b)
Take away:
2 9

x y
(c)
Divide:
x y

5 3
x3
(PTO)
Question 5 – Topic: Gradient.
Revision notes: roughly page 33-34
Points A and B have coordinates (–6, –2) and (3, 1) respectively.
Calculate the gradient of AB.
Question 6 – Topic: Volumes.
Revision notes: roughly page 37-38
(a)
Calculate the volume of a sphere with radius 7·6 cm, giving
your answer correct to two significant figures.
4
Formula: V   r 3
3
(b)
A cylinder and a cone are shown.
(i)
(ii)
Find the volume of the cone and the cylinder.
1
Formulae: Cone - V   r 2 h Cylinder - V   r 2 h
3
The cone is full of water. The water is then poured into
the cylinders. How many cylinders can be filled?
Question 7 – Topic: Circles.
Revision notes: roughly page 35-36
A logo is made from part of a circle as shown.
The radius is 43cm and the angle at the
centre is 155°.
What is the arc length of the shaded section?
Formula: Arc length 
Angle
d
360
Do not miss this question out:
Use the notes. I’ve even given
you the formula.
43cm
A
O
155°
B