Transcript GCSE Maths Unit 2 Revision

GCSE Mathematics: Higher Tier
Top 40 Revision Topics
Prepared by Mr Sambhi
Head of Mathematics
Work out the volume
380cm³
Work out the volume
1180cm³
Work out the volume
66cm³
Work out the volume
16000cm³
Work out the surface area
264cm²
Work out the surface area
520cm²
What is 1340 when written in standard
form?
1.34  103
What is 0.00045 when written in
standard form?
4.5  10-4
What is 2  10-3 when written as a normal
number?
0.002
Factorise x2 - 64
(x+8)(x-8)
Expand and simplify
(x – 1)(x – 6)
x2 - 7x + 6
Expand and simplify
(x – 9)(x – 8)
x2 - 17x + 72
Work out the missing probability
0.35
Work out the missing probability?
0.25
The probability a biased coin lands on heads
is 0.6.
I flip the coin 500 times. Work out an
estimate for the number of times it will land
on heads.
300
30/100
The length of a path is 90 m correct to
the nearest metre.
What is the least possible length of the
path?
89.5 m
Factorise fully 15a + 20ab
5a(3 + 4b)
Factorise fully 6xy2 + 9x2y
3xy(2y + 3x)
Factorise y2 – 9y + 20=
(y - 5 )(y - 4)
Find the area of this shape
81m2
Find the area of this shape
56m2
Factorise x2 - 81
(x+9)(x-9)
Increase 80 by 15%
92
£4000 is invested for 3 years at a rate of
5% compound interest.
What is the investment worth at the end of
the 3 years?
4000×1.05³ = £4630.50
£2000 is invested for 2 years at a rate of
4% compound interest.
What is the investment worth at the end of
the 2 years?
2000×1.04² = £2163.20
£2000 is invested for 2 years at a rate of
4% simple interest.
What is the investment worth at the end of
the 2 years?
2000×4% = £80
80×2 = 160, so £2160
£3000 is invested for 2 years at a rate of
4% simple interest.
What is the investment worth at the end of
the 2 years?
3000×4% = £120
120×2 = 240, so £3240
John wants to find how long students spend
doing their homework.
Design a questionnaire for James.
How long do you spend doing your
homework per week?
Less than 1
hour
1-3 h
More than
3 hours
Design a data collection sheet to collect the
information about the colours of cars in a
car park
Colours
Red
Black
White
Other
Tally
Frequency
Draw a stem and leaf diagram
12 23 30 16 25
1
2
6
2
3
5
3
0
Key 1|2 means 12
310
 50  20.94...  21
740
Work out the mean
20
Work out 200 × 0.2
100×0.2 = 20 so 200×0.2 = 40
2 people
60g
4
210ml
90g
6 people
180g
12
630ml
270g
Change INTO so 350×1.34=469
.
Change $67 BACK
67÷1.34=£50
50-47.50 = £2.50
Solve 7y + 3 > 7
7y + 3 > 7
7y
>7–3
7y
>4
y
>4
7
.
-3<x≤4
.
How do you work out 18% of £43 in the
calculator?
18%×43 = £7.74
Work out the size of angle x
133
133
Angles on a straight line add up to 180°
Corresponding angles are equal
M=D×V
M = 6.6 × V
Volume = Area of CS × L
12  5
V
 15
M=6.6×450 =2970
2
V  30  15  450
Find a formula for the nth term
2, 5, 8, 11…
Going up in 3 so 3n
before 2? - 1
3n - 1
and what comes
A = pqr
A = 100
p = 20
q = 5.2
r=?
100=20×5.2×r
100=104×r
100
r
104
.
6
Translation  
 1 
Enlargement
SF 2.5 Centre (0,0)
C=πd C= π×5 = 15.7m
15.7m×£1.80 = £28.26
Apple pies are too A= πr²
12×12=144 π×6²=113.112
144-113.112=30.9cm²
.
3
-6
-5
.
-4
-2
8
1.72÷2 = 0.86
7.65÷9 = 0.85 large
3.7 58.053
3.8 62.472
3.75 60.234
Since OUR value 60 is LESS than
60.234 choose the lower value of x 3.7
h2  a2  b2
162  82  b2
16  8  b
2
2
2
192  b
2
b  192  13.856...
.
tan(40) × 12.5 = 10.5
5
cos(x) 
8
1  5 
x  cos  
8
x  51.3
Alice, Becky and Crissi share £60 in the ratio
2:3:5
How much does Becky receive ?
2+3+5=10
60÷10 = £6
Becky 3×£6 = £18