Transcript GCSE Mathematics Unit 2

Preparation for your forthcoming
non-calculator examination
a) Work out the integer values of n which satisfy the inequality
9  3n  20
b) Solve
5n  21  0
Simplify fully each of the following
a)
62 x  1x  3
22 x  1
b)
3x 2  7 x  2
x2  x  2
a) Express in standard form
(i) 46 million
(ii) 0.00000375
b) Work out
1.2 10  8 10 
6
7
leaving your answer in standard form
Jack wins £100 in a local raffle which he intends to share with his
sister in the ratio of their ages.
If Jack is 12 years old and his sister is 8 years old how much will
Jack give to his sister?
P is directly proportional to R2
When R = 5, P = 100
a)
Find an equation connecting P and R.
b) Find the value of R when P = 144
a)
Express 120 as a product of prime factors
b) Given that
36  2 2  32
find the highest common factor of 36 and 120
Estimate
a) 9.8  3
0.02
b)
3
26
10
a)
An Insurance firm are offering an online discount of 35%.
Work out the online discount for insurance usually costing
£125.
b)
Pet Insurance Sale
1
off
3
Sale Price £98
Work out the original price of the Pet Insurance
a)
Write down the value of
b) Work out as a decimal
4 4
45
3
c)
Work out
8
0
2 3
7
leaving your answer as a power of 4.
d) Simplify
e) Work out
 3 1 3  2
2  8  5  20
Simplify
a)
7
x  x3
b)
y7
y3
c)
4e 4 f  3e 2 f 5
d)
52t  3  33t  4
e)
h  7h  4
Each pattern is made up from pencils
Pattern 1
3 pencils
Pattern 2
5 pencils
a) How many pencils will there be in Pattern n?
b) Explain why there is no pattern with 200 pencils.
Pattern 3
7 pencils
a) Solve the equation
3x  7  42 x  3
b) Solve the simultaneous equations
3 x  2 y  10
2x  y  9
Solve the equation
6
5

2
x  3 2x  1