10) LEVEL 6 Assessment Success Pack. EOY Target: Teacher: WA Grade: Targets: Name: Class:

Transcription

1 Name: Class: WA Grade: EOY Target: Teacher: Targets: 1) LEVEL 6 Assessment Success Pack 2) 5) 6) 7) 8) 9) 10)

2 6/1 Equivalent fractions, decimals & percentages 1) 2) Percentage to decimal to fraction Decimal to percentage to fraction Percentage Decimal Fraction Decimal Percentage 27% 0.3 Fraction 7% 70% Fraction to decimal to percentage Fraction Decimal Percentage Fraction Percentage Decimal A mixture 11% 0.025

3 6/2 Increase by a percentage 1) 2) Increase 80 by 50% 50% = ½ Increase 60 by 10% Increase 80 by 25% Increase 80 by 75% 25% = ¼ 75% = 50% + 25% = ¾ 10% = = 1 10 Increase 60 by 5% Increase 60 by 20% Always find 10% first Increase 400 by 1% Increase 400 by 3% Increase 400 by 4% You can also use a calculator to increase by a percentage. Increase 12 by 5% = 1.05 x 12 Increase 2400 by 20% Increase by 4% Increase 2000 by 31%

4 6/2 Decrease by a percentage 1) 2) Decrease 60 by 50% 50% = ½ Decrease 40 by 10% Decrease 60 by 25% Decrease 60 by 75% 25% = ¼ 75% = 50% + 25% = ¾ 10% = = 1 10 Decrease 40 by 5% Decrease 40 by 20% Always find 10% first Decrease 800 by 1% Decrease 4200 by 20% Decrease 800 by 3% Decrease 800 by 4% You can also use a calculator to increase by a percentage. Increase 12 by 5% = 1.05 x 12 Decrease by 4% Decrease 4000 by 31%

5 6/3 Divide a quantity into a given ratio 1) 2) Divide 60 between Jack and Jill in ratio of 2:3 Divide 240 between Bill and Ben in ratio of 3:5 54 sweets are shared between Bill, Ben and Bob in the ratio 5:3:1 How many sweets does Bill receive? 1) Add 2) Divide Multiply Fred, Tom and Joe share sweets in the ratio 3 : 1 : 4 How many sweets are there if Joe receives 28?

6 6/4 Use proportional reasoning 1) 2) If 6 books cost Find the cost of 11 books ( Hint: find cost of 1 first ) A pack of 5 pens cost 6.10 A pack of 8 pens cost 9.20 Which is the best buy? ( Hint: find cost of 40 of each) Change an amount in proportion Change amounts to compare If 4 cakes cost 15 Find the cost of 9 cakes ( Hint: find cost of 1 first ) A pack of 6 pens cost 5.10 A pack of 10 pens cost 8.75 Which is the best buy? ( Hint: find cost of 30 of each)

7 6/5 Calculate with fractions 1) 2) ~Make the denominators the same 1 5 Add & subtract fractions Multiply fractions ~Write 7 as ~Multiply numerators & denominators Divide fractions ~Write 7 as Calculate fraction of quantity of 35

8 6/6 Solve an equation by trial & improvement 1) Solve x 2 x = 27 (to 1dp) 2) x x 2 x 27 (5) (5) 2 (5) 20 (too small) (6) (6) 2 (6) 30 (too big) (5.5) (5.5) 2 (5.5) ( ) Solve x 3 x = 29 (to 1dp) x x 3 x 29 ( ( 3 ( ( ) Solution between 5 and 6 Solve x 3 4x = 25 (to 1dp) x x 3 4x 25 ( ) ( ) 3 4( ) x = Solution between 3 and 4 Solve x 3 2x = 68 (to 1dp) x = Solution between 3 and 4 x = Solution between 4 and 5 x =

9 6/7 Solve linear equations 1) 2) To solve 5(x = 3x + 7 (expand bracket) 5x 15 = 3x + 7 (-3x from both sides) = (+15 to each side) = ( 2 both sides) x = Solve 2x + 3 = 13 Solve 5x 9 = 46 Solve 3x + 1 = x + 7

10 6/8 Sequences 1) a) Write down an expression for the nth term 2) a) Write down an expression for the nth term 6, 8, 10, 12 7, 10, 13, 16 b) Prove that the 10 th term is 24 b) Use your rule to find the 20 th term 2( ) + 4 = 24 a) Write down an expression for the nth term 5, 9, 13, 17 a) Write down an expression for the nth term 3, 7, 11, 15 b) Use your rule to find the 27 th term b) Is 319 in the sequence?

11 6/9 Plot graphs of linear equations 1) y = 3x 1 2) x y y = 2x 2 x y 3(-2) 1 = -7 3(0) 1 = -1 3(1) 1 = 2 3(-1) 1 = 3(2) 1 = y = 3x + 5 y = -2x + 1 x y x y

12 Distance Distance Distance Distance Distance 6/10&11 Real life graphs 1) Water is poured into the 6 jars at a steady rate. 2) The graphs show the height of water in the jars over time. Everyday Mr Fevrier runs from his house to the park. The graphs shows his run for 5 different days. A B C D E Time Time Time Time Time Match the sentences below with the correct graph. Sir runs all the way to the park at a constant speed, stays there for a while, then runs all the way home at a constant speed. Sir runs to the park at a constant speed, stops for a rest on the way. When he gets there he turns round and runs straight back home again at a constant speed. Match the jars with the correct graph. There is one jar that has been missed out. Draw the graph for this jar. Sir runs to the park at a constant speed, stops for a rest on the way, and then stays at the park. Sir runs to the park and straight back home at a constant speed.

13 6/12 Quadrilaterals & their properties 1) Name. 2) Lines of symmetry. Rotational symmetry Diagonals bisect?.... Parallel sides?.. Name. Lines of symmetry. Rotational symmetry Diagonals bisect?.... Parallel sides?.. Name. Lines of symmetry. Rotational symmetry Diagonals bisect?.... Parallel sides?.. Name. Lines of symmetry. Rotational symmetry Diagonals bisect?.... Parallel sides?.. Name. Lines of symmetry. 5) 6) Rotational symmetry Diagonals bisect?.... Parallel sides?.. Name. Lines of symmetry. Rotational symmetry Diagonals bisect?.... Parallel sides?..

14 6/13&14&15 Angles 1) Find the missing angles in alphabetical order 2) and give reasons. a = b = reason= reason= a = reason= Key words: Isosceles triangle Alternate angles Corresponding angles Interior angles Opposite angles d = reason= a = reason= b = reason= c = reason= x = reason= y = reason=

15 6/16 2D representations of 3D shapes 1) 2) side Top Top side Front Front Top side Top side Front Front

16 6/17 Enlarge a shape 1) 2) Enlarge this shape by scale factor 3 with centre X Enlarge this shape by scale factor 2 with centre X Key Words: Enlarge Centre of Enlargement Projection lines Enlarge this shape by scale factor 3 with centre X Enlarge this shape by scale factor 1/2 with centre X. (Draw the smaller shape)

17 6/18 Translate & Reflect a shape 1) Transformation 2) 7. Vector ( ) Transformation a). Vector ( ) Transformation b). Line x = Transformation a). Vector ( ) Transformation b). Line y = Transformation a). Vector ( ) Transformation b). Line.. =

18 6/19 Constructions 1) Use a ruler and compass to construct the 2) perpendicular bisector of the straight line below Use a ruler and a pair of compasses to accurately construct the triangle 3cm 7cm 5cm Construct the angle bisector of the angle below Use a pair of compasses to accurately construct the isosceles triangle 6cm 5cm

19 6/20 Use formulae 1) Work out the area and circumference of the 2) circle. (1dp) A = C = Calculate the area and circumference of the circle. (1dp) A = C = 3cm 8cm Calculate the volume and surface area of the cuboid. Calculate the volume and surface area of the cuboid. 4cm 5cm 3cm Volume = Surface area = cm³ cm² 6cm 3cm 2cm Volume = Surface area =

20 Frequency 6/23 Presentation of data 1) Construct a scatter graph 2) Construct a frequency polygon Weight, w O<w 5 5<w 10 10<w 15 15<w 20 20<w 25 25<w 30 Frequency Construct a frequency polygon from the data shown above b) What does the scatter graph show about the relationship between the mass of a man and their shoe size c) Estimate the shoe size of a man that had a mass of 75kg Weight, w

21 6/23 Presentation of data 1) Constructing a pie chart b) Construct a pie chart for the data (favourite football teams) here: Some West Hatch pupils were asked to give the name of their favourite football team from the table below. a) Calculate the angle needed for the pie chart (favourite football teams) : Team Number Angle Arsenal 7 Chelsea 3 Spurs 5 West Ham 2 Fulham 1

22 Spinner 6/24 Find all possible outcomes 1) 2) Show all possible outcomes from spinning a spinner and rolling a dice I have two bags of counters. 1 st bag = two counters, one blue, one pink 4 2 nd bag = three counters, one red, one green, one yellow I am going to take a counter at random from both bags. Dice (a) Complete the table to show what colours they might be. The first one has been done for you. You will not need to use all the rows. first bag B second bag R Outcomes can be presented: In a list In a table or sample space

23 6/25 Sum of mutually exclusive outcomes = 1 1) If outcomes A and B are mutually 2) exclusive If outcomes A, B and C are mutually exclusive and p(a) = 0.47 p(b) = 1 ( ) = A Football team can either win, lose or draw. The table shows the probabilities for each outcome. Work out the probability that the team will win. Outcome Win Lose Draw Probability p(a) = 0.51 p(b) = 0.24 p(c) = 1 ( ) = A bag contains counters which are red or green or yellow or blue. The table shows each of the probabilities that a counter taken at random from the bag will be red or yellow or blue. A counter is to be taken at random from the bag. Work out the probability that the counter will be green. Colour Red Green Yellow Blue Probability