Maths Revision PowerPoint

Part 2

Circumference

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Circle theory 1

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Circle Theory 2

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Construction

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Trigonometry- Sin and Cos

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Trigonometry- finding angles

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Trigonometry- Sin, Cos and Tan

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Cosine rule

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Sine rule

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Sine and Cosine Rule

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Sin, cos and tan 2

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Translation

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Reflection 2

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Reflection 1

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Reflect these shapes in the mirror lines

3D Pythagoras

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Find the length of the longest diagonal of these cuboids

Rotation

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Perimeter

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Worded Pythagoras

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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

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Angles on a straight line

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Angles in a triangle

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Plans and Elevations

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Draw the plan and the front and side elevations for these shapes

Pythagoras

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Mean

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1. Find the mean from these numbers:a) 5,3,4b) 10, 11, 1, 7c) 15, 8, 7, 10d) 14, 2, 4, 1, 4e) 7, 8, 5, 10, 4, 2f) 24, 26, 32, 17, 1g) 0.2, 0.1, 0. 5, 0.3h) 20, 9, 3, 8, 8, 8i) 17, 18, 15, 10, 8, 2, 10j) 0,0,0,0,0,18

2. How would you find the:a) Mean age of players in a football teamb) Mean height of a familyc) Mean number of sweets eaten by boys in a dayd) Mean number of hours spent watching TV for a pupil each nighte) 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 6b) 5 numbers with a mean of 8c) 7 numbers with a mean of 9

Mean, Mode, Median and Range

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1. Which of these could you not find a median for?a) Heightb) Favourite colourc) Score in a test d) Favourite football team

2. Find the mean, mode, median and range for these sets of numbers:a) 5,7,2,8,8b) 2,12,6,3,2c) 15,4,11,6,4d) 20,30,35,15,15e) 4,7,0,14,0,19,5f) 2,9,18,12,7,2,6g) 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 115. 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

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Mean from grouped tables

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Mean from tables

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Drawing Pie charts 1

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Drawing Pie Charts 2

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Probability as Fractions

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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 blueb) A red c) A greend) A purplee) A blue or redf) 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 socksb) Clown socksc) Maths Socksd) Clown or spotty sockse) Maths or stripe socks

3. I have a pack of card (without jokers) what is the probability I pick:

a) A Red cardb) A heartc) A Clubd) A heart or a clube) A 2f) A Kingg) A picture cardh) A number card smaller than 6i) A number card greater than 6j) An even numberk) An odd numberl) A red number 3m) A black Queen or red Jackn) A King of Hearts or a 5

Relative Frequency

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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.

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?

Listing Outcomes

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Spinner 1 Spinner 2 Total

Drawing Bar Charts

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Tree Diagrams

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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 outcomes2.Use your tree diagram to find the probability of getting:

a.2 pinkb.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 0.23.What is the probability I will NOT:

a.Have toast for breakfastb.Miss my bus

4.Draw a tree diagram showing all possible outcomes5.Use your tree diagram to find the probability of:

a.Having toast and missing my busb.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:6.Draw a tree diagram to show all possible outcomes.7.Use your tree diagram to find the probability of:

a.A head a 3b.A tails and a number bigger than 4c.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)

8.Draw a tree diagram to show all the possible outcomes,a.Find the probability that I will listen to:

i.Hip Hop then Popii.Rock twiceiii.A Rock song and a pop song in any orderiv.2 songs which are the same style (rock and rock or pop and pop ect.)

Stem and Leaf Diagrams

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Scatter Graphs

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The Probability Line

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Box and Whisker plots

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Mutually Exclusive Events

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Sample Space Diagrams

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Sampling

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Histograms

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Drawing Cumulative Frequency Graphs

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Reading Pie Charts

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How many people are represented by each slice of the pie charts?

Reading Bar Charts

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Simultaneous Equations

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1. Find a and b for each pair of simultaneous equations:a) 5a + 2b= 14 6a + 2b= 16 b) 7a + 3b= 27 6a + 3b= 24c) 10a - 2b= 30 3a - 2b= 2d) 9a - 6b= 42 6a - 6b= 18

2. Find a and b for each pair of simultaneous equations:a) 4a + 7b= 27 4a - 7b= 13b) 3a + 2b= 35 2a - 2b= 10c) 11a - 8b= 4 a + 8b= 44d) 5a + 3b= 69 7a - 3b= 75

3. Find a and b for each pair of simultaneous equations:a) 5a + 6b= 28 6a + 2b= 18b) 4a + 4b= 36 6a - 2b= 22c) 2a - 8b= 14 3a + 2b= 41d) 9a + 6b= 84 3a - 3b= 25.5

a=2 , b=2a=3, b=2a=4, b=5a=8, b=5

a=5, b=1a=9, b=4a=4, b=5a=12, b=3

a=2, b=3a=5, b=4a=89/7 b=10/7a=9, b=0.5

Area of Circles

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12.5663706cm2 78.5398163cm2 15.2053084cm2 380.132711cm2

314.159265cm2 153.93804cm2 25.13274cm2 28.27433cm2