Maths Revision PowerPoint Part 2

Circumference Home

Circle theory 1 Home

Circle Theory 2 Home

Construction Home

Trigonometry- Sin and Cos Home

Trigonometry- finding angles Home

Trigonometry- Sin, Cos and Tan Home

Cosine rule Home

Sine rule Home

Sine and Cosine Rule Home

Sin, cos and tan 2 Home

Translation Home

Reflection 2 Home

Reflection 1 Reflect these shapes in the mirror lines Home

3D Pythagoras Find the length of the longest diagonal of these cuboids Home

Rotation Home

Perimeter Home

Worded Pythagoras Home 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? A boat travels 45 miles east then 60 miles north, how far is it from where it started? A swimming pool is 25m by 12m, if someone swam from one corner to the other, how far would they have swum? 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? 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? 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? 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? A man falls from the top mountain, he travels 2.5km and the mountain is 1.7km, how far has he travelled horizontally? 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? Home

Angles on parallel lines Home

Angles on a straight line Home

Angles in a triangle Home

Plans and Elevations Draw the plan and the front and side elevations for these shapes Home

Pythagoras Home Shape

Mean Home Find the mean from these numbers: 5,3,4 10, 11, 1, 7 15, 8, 7, 10 14, 2, 4, 1, 4 7, 8, 5, 10, 4, 2 24, 26, 32, 17, 1 0.2, 0.1, 0. 5, 0.3 20, 9, 3, 8, 8, 8 17, 18, 15, 10, 8, 2, 10 0,0,0,0,0,18 How would you find the: Mean age of players in a football team Mean height of a family Mean number of sweets eaten by boys in a day Mean number of hours spent watching TV for a pupil each night Mean number of times someone says “LOL” a day Write down 3 possible lists of numbers if there are: 4 numbers with a mean of 6 5 numbers with a mean of 8 7 numbers with a mean of 9 Home

Mean, Mode, Median and Range Which of these could you not find a median for? Height Favourite colour Score in a test Favourite football team Find the mean, mode, median and range for these sets of numbers: 5,7,2,8,8 2,12,6,3,2 15,4,11,6,4 20,30,35,15,15 4,7,0,14,0,19,5 2,9,18,12,7,2,6 21,13,15,2,15,3,1 Write 3 different lists of 5 numbers which have a mean of 7. Write 3 lists of numbers which have a median of 11 Would mode be a good thing to find if we were looking at pupils exact journey time to school? Explain your answer. Can any of mean, median, mode and range be negative? Explain your answer Home

Median and Range Home

Mean from grouped tables Home

Mean from tables Home

Drawing Pie charts 1 Home

Drawing Pie Charts 2 Home

Probability as Fractions I have some counters in a bag. There are 3 blue, 5 red and 2 green. What is the probability I pick out: A blue A red A green A purple A blue or red A red or green 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: Spotty socks Clown socks Maths Socks Clown or spotty socks Maths or stripe socks 3. I have a pack of card (without jokers) what is the probability I pick: A Red card A heart A Club A heart or a club A 2 A King A picture card A number card smaller than 6 A number card greater than 6 An even number An odd number A red number 3 A black Queen or red Jack A King of Hearts or a 5 Home

Relative Frequency Home

Listing Outcomes If I flip a coin and roll a dice, list all the possible outcomes I could get. I spin two fair spinners number 1 to 3. Copy and complete the table to show all the possible outcomes. 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. If I toss 1 coin there are 2 possible outcomes, find the number of outcomes for: 2 coins b. 3 coins c. 4 coins d. X coins Lucy, Amy and George are going to have their photo taken so they sit in a line: How many different ways could they order themselves? Andy joins them, how many different ways could they order themselves now? Spinner 1 Spinner 2 Total Home

Drawing Bar Charts Home

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. Draw a tree diagram showing all possible outcomes Use your tree diagram to find the probability of getting: 2 pink 2 orange, 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 What is the probability I will NOT: Have toast for breakfast Miss my bus Use your tree diagram to find the probability of: Having toast and missing my bus Not having toast and missing my bus Not having toast and not missing my bus C) I am tossing a coin and rolling a dice: Draw a tree diagram to show all possible outcomes. A head a 3 A tails and a number bigger than 4 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) Draw a tree diagram to show all the possible outcomes, Find the probability that I will listen to: Hip Hop then Pop Rock twice A Rock song and a pop song in any order 2 songs which are the same style (rock and rock or pop and pop ect.) Home

Stem and Leaf Diagrams Home

Scatter Graphs Home

The Probability Line Home

Box and Whisker plots Home

Mutually Exclusive Events Home

Sample Space Diagrams Home

Sampling Home

Histograms Home

Drawing Cumulative Frequency Graphs Home

Reading Pie Charts Home How many people are represented by each slice of the pie charts? Home

Reading Bar Charts Home

Simultaneous Equations Find a and b for each pair of simultaneous equations: 5a + 2b= 14 6a + 2b= 16 7a + 3b= 27 6a + 3b= 24 10a - 2b= 30 3a - 2b= 2 9a - 6b= 42 6a - 6b= 18 4a + 7b= 27 4a - 7b= 13 3a + 2b= 35 2a - 2b= 10 11a - 8b= 4 a + 8b= 44 5a + 3b= 69 7a - 3b= 75 5a + 6b= 28 6a + 2b= 18 4a + 4b= 36 6a - 2b= 22 2a - 8b= 14 3a + 2b= 41 9a + 6b= 84 3a - 3b= 25.5 a=2 , b=2 a=3, b=2 a=4, b=5 a=8, b=5 a=5, b=1 a=9, b=4 a=4, b=5 a=12, b=3 a=2, b=3 a=5, b=4 a=89/7 b=10/7 a=9, b=0.5 Home

Area of Circles Home 12.5663706cm2 78.5398163cm2 15.2053084cm2