Transcript Maths Revision PowerPoint

Maths Revision PowerPoint
Part 2
Circumference
Circle theory 1
Circle Theory 2
Construction
Trigonometry- Sin and Cos
Trigonometry- finding angles
Trigonometry- Sin, Cos and Tan
Cosine rule
Sine rule
Sine and Cosine Rule
Sin, cos and tan 2
Translation
Reflection 2
Reflection 1
Reflect these shapes in the mirror lines
3D Pythagoras
Find the length of the longest diagonal of these cuboids
Rotation
Perimeter
Worded Pythagoras
1. A hunter fires an arrow to kill a bird, the bird falls 20m and the hunter has to walk 40m to pick it up,
how far did the arrow travel to the bird?
2. A boat travels 45 miles east then 60 miles north, how far is it from where it started?
3. A swimming pool is 25m by 12m, if someone swam from one corner to the other, how far would they
have swum?
4. A kite is flying on a string which is 10m, the kite is flying 6m of the ground, if the kite plummets
straight down how far will the kite flyer have to walk to pick it up?
5. A totem pole is tied to the ground with ropes stuck in the ground with pegs, if the rope is 14m long
and the pole is 9m long, how far will the pegs be from the base of the totem pole?
6. A fly is 1m of the ground and 70cm away from a chameleon, the chameleon s tongue flies out a
catches the fly, how long is the chameleon’s tongue?
7. A lighthouse shine a light on a ship, the light beam is 80m long, the ship is 110m away from the base
of the lighthouse, how tall is the lighthouse?
8. A man falls from the top mountain, he travels 2.5km and the mountain is 1.7km, how far has he
travelled horizontally?
9. A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far
would it have to fly to get to helicopter?
Angles on parallel lines
Angles on a straight line
Angles in a triangle
Plans and Elevations
Draw the plan and the
front and side
elevations for these
shapes
Pythagoras
Mean
1. Find the mean from these numbers:
a) 5,3,4
b) 10, 11, 1, 7
c) 15, 8, 7, 10
d) 14, 2, 4, 1, 4
e) 7, 8, 5, 10, 4, 2
f) 24, 26, 32, 17, 1
g) 0.2, 0.1, 0. 5, 0.3
h) 20, 9, 3, 8, 8, 8
i) 17, 18, 15, 10, 8, 2, 10
j) 0,0,0,0,0,18
2. How would you find the:
a) Mean age of players in a football team
b) Mean height of a family
c) Mean number of sweets eaten by boys in a day
d) Mean number of hours spent watching TV for a pupil each night
e) Mean number of times someone says “LOL” a day
3. Write down 3 possible lists of numbers if there are:
a) 4 numbers with a mean of 6
b) 5 numbers with a mean of 8
c) 7 numbers with a mean of 9
Mean, Mode, Median and Range
1. Which of these could you not find a median for?
a) Height
b) Favourite colour
c) Score in a test
d) Favourite football team
2. Find the mean, mode, median and range for these sets of numbers:
a) 5,7,2,8,8
b) 2,12,6,3,2
c) 15,4,11,6,4
d) 20,30,35,15,15
e) 4,7,0,14,0,19,5
f) 2,9,18,12,7,2,6
g) 21,13,15,2,15,3,1
3. Write 3 different lists of 5 numbers which have a mean of 7.
4. Write 3 lists of numbers which have a median of 11
5. Would mode be a good thing to find if we were looking at pupils exact journey time to school? Explain
your answer.
6. Can any of mean, median, mode and range be negative? Explain your answer
Median and Range
Mean from grouped tables
Mean from tables
Drawing Pie charts 1
Drawing Pie Charts 2
Probability as Fractions
1. I have some counters in a bag. There are 3 blue,
5 red and 2 green. What is the probability I pick
out:
a) A blue
b) A red
c) A green
d) A purple
e) A blue or red
f) A red or green
2. I am picking my socks at random today, I have 4
pairs with stripes on, 10 with spots, 5 with
clowns and 1 with maths pictures. What is the
probability I will pick out:
a) Spotty socks
b) Clown socks
c) Maths Socks
d) Clown or spotty socks
e) Maths or stripe socks
3. I have a pack of card (without jokers)
what is the probability I pick:
a) A Red card
b) A heart
c) A Club
d) A heart or a club
e) A 2
f) A King
g) A picture card
h) A number card smaller than 6
i) A number card greater than 6
j) An even number
k) An odd number
l) A red number 3
m) A black Queen or red Jack
n) A King of Hearts or a 5
Relative Frequency
Listing Outcomes
1. If I flip a coin and roll a dice, list all the possible outcomes I could get.
2. I spin two fair spinners number 1 to 3.
a) Copy and complete the table to show all the possible outcomes.
Spinner 1
Spinner 2
Total
3. When I have breakfast I have a drink and something to eat. The drinks I
choose from are tea, coffee and juice and I eat a bagel, toast or cereal.
Write down all the different combinations I could have for breakfast.
4. If I toss 1 coin there are 2 possible outcomes, find the number of outcomes
for:
a. 2 coins
b. 3 coins
c. 4 coins
d. X coins
5. Lucy, Amy and George are going to have their photo taken so they sit in a
line:
a) How many different ways could they order themselves?
b) Andy joins them, how many different ways could they order themselves
now?
Drawing Bar Charts
Tree Diagrams
A) I have a bag with 20 balls in, there are 13 pink, 7 orange pull a ball out, put it back then pull another.
1.Draw a tree diagram showing all possible outcomes
2.Use your tree diagram to find the probability of getting:
a.2 pink
b.2 orange,
c.A pink and an orange.
B) The probability I have toast for breakfast is 0.6, the probability I will miss my bus is completely unrelated to my breakfast choice and is 0.2
1.What is the probability I will NOT:
a.Have toast for breakfast
b.Miss my bus
2.Draw a tree diagram showing all possible outcomes
3.Use your tree diagram to find the probability of:
a.Having toast and missing my bus
b.Not having toast and missing my bus
c.Not having toast and not missing my bus
C) I am tossing a coin and rolling a dice:
1.Draw a tree diagram to show all possible outcomes.
2.Use your tree diagram to find the probability of:
a.A head a 3
b.A tails and a number bigger than 4
c.A tails with a 3 or a heads with a 1
D) I have some songs on my mp3 player, 4 are rock, 7 are Pop and 11 are Hip Hop. I put my mp3 player on shuffle and listen to 2 songs (it is
possible to listen to the same song twice in a row)
1.Draw a tree diagram to show all the possible outcomes,
a.Find the probability that I will listen to:
i.Hip Hop then Pop
ii.Rock twice
iii.A Rock song and a pop song in any order
iv.2 songs which are the same style (rock and rock or pop and pop ect.)
Stem and Leaf Diagrams
Scatter Graphs
The Probability Line
Box and Whisker plots
Mutually Exclusive Events
Sample Space Diagrams
Sampling
Histograms
Drawing Cumulative Frequency Graphs
Reading Pie Charts
How many people are
represented by each slice
of the pie charts?
Reading Bar Charts
Simultaneous Equations
1.
Find a and b for each pair of simultaneous equations:
a) 5a + 2b= 14
6a + 2b= 16 a=2 , b=2
b) 7a + 3b= 27
6a + 3b= 24 a=3, b=2
a=4, b=5
c) 10a - 2b= 30 3a - 2b= 2
d) 9a - 6b= 42
6a - 6b= 18 a=8, b=5
2. Find a and b for each pair of simultaneous equations:
a) 4a + 7b= 27
4a - 7b= 13 a=5, b=1
b) 3a + 2b= 35
2a - 2b= 10 a=9, b=4
a=4, b=5
c) 11a - 8b= 4
a + 8b= 44
d) 5a + 3b= 69
7a - 3b= 75 a=12, b=3
3. Find a and b for each pair of simultaneous equations:
a) 5a + 6b= 28
6a + 2b= 18
a=2, b=3
b) 4a + 4b= 36
6a - 2b= 22 a=5, b=4
c) 2a - 8b= 14
3a + 2b= 41
a=89/7 b=10/7
d) 9a + 6b= 84 3a - 3b= 25.5 a=9, b=0.5
Area of Circles
12.5663706cm2
78.5398163cm2
15.2053084cm2
380.132711cm2
314.159265cm2
153.93804cm2
25.13274cm2
28.27433cm2