Revision Grids Level 6 - Great Maths Teaching Ideas

vs
Time
No Revision
By Great Maths Teaching Ideas
Revision
Revision
Level 6
How well you remember something
How well you remember something
Revision Grids
Time
With Revision
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids
Level 6
Welcome and thank you for downloading this Level 6 Revision Grids
pack from Great Maths Teaching Ideas.
These resources are to help pupils revise maths topics at level 6 in
preparation for their assessments. The questions cover the whole
curriculum at level 6.
There are many ways in which you can use the revision grids in the
classroom. You can use them just as straightforward worksheets for
individual or pair work. Alternatively, they can be used as a ‘4 in a line’
game where pupils take it in turns to answer a question and if they get it
right they put a coloured counter on the square. First to get 4 in a line
wins. This can also work nicely as a whole-class starter or plenary if you
have a projector and/or interactive whiteboard.
If you want to promote collaboration and independent learning getting
pupils to work in pairs with a textbook as a reference and then coming to
you to see how many they have right is a good strategy. Only tell them
how many they have right, not which ones so they have to go away and
discuss it with other groups to work out where they have gone wrong and
what they need to do to correct it.
My inspiration for creating these Revision Grids came from the excellent
blog MEDIAN by Don Steward. http://donsteward.blogspot.co.uk/ His
blog is full of wonderful teaching resources and I can’t recommend it
highly enough. Be sure to take a read.
I hope you and your pupils have fun lessons with lots of learning using
these Revision Grids. Drop me a line and let me know how you get on:
[email protected]
William Emeny
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids
1
Recurring decimals
Use short division to
convert this fraction to a
recurring decimal
2
3
6
Fractions
Give your answer as a
fraction in its simplest form
1
4
11
2
Recurring decimals
Write the fraction four
ninths as a recurring
decimal
7
Fractions
Give your answer as a
fraction in its simplest form
+ 3
8
Fractions
Level 6 Sheet 1
1
3
12
3
Solve x(x + 3) = 125
using trial and improvement
methods. Calculate x
accurate to 1 d.p. The
solution for x lies between 9
and 10
8
1
6
13
Fraction
Give your answer as a
fraction in its simplest form
2
5
Give your answer as a
fraction in its simplest form
X 4
6
2
3
÷
4
5
Fractions
Give your answer as a
fraction in its simplest form
− 1
6
Fractions
Trial and improvement
4
Fractions
Give your answer as a
fraction in its simplest form
2
7
9
Fractions
Give your answer as a
fraction in its simplest form
+ 4
7
5
6
Fractions
Give your answer as a
fraction in its simplest form
+ 3
5
5
10
Fractions
Give your answer as a
fraction in its simplest form
8 − 1
12
10
FDP
14
Decimal Percentage
0.23
3
FDP
15
Which is the smallest?
70%
3
10
2/11
0.125
0.4
− 2
6
2
9
X
FDP
Which is the largest?
2
3
35%
0.66
57%
7/5
16
Ratio
Divide £30 in the ratio
2:3
17
Ratio
Share £125 in the ratio
2:5:3
18
Proportion
If 5 cans of beans costs
£2.50. How much do 12
cans of bean cost?
19
Proportion
6 men take 6 days to
build a brick wall. How
long would it have taken
2 men to build the wall?
20
Trial and improvement
Solve √x = 2.6
using trial and improvement
methods. Calculate x
accurate to 1 d.p. The
solution for x lies between 6
and 7
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Answers
1
2
0.6
(0.666666...)
6
3
7
11
4
x = 9.8
(to 1 d.p.)
0.4
(0.444444...)
5
8
12
16
5
6
£25 : £62.50 : £37.50
10
14
2
3
15
Decimal Percentage
23/100
0.23
23%
7/10
0.7
70%
2/11
1
2
17
30
13
17
£12 : £18
9
23
30
Fraction
5
6
7
8
1
6
4
15
Level 6 Sheet 1
3
10
0.1818... 18.1818...%
1/8
0.125
12.5%
7/5
1.4
140%
18
19
£6
2
3
20
18 days
x = 6.8
(to 1 d.p.)
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids
1
6
11
16
Factorising
2
Factorising
Level 6 Sheet 2
3
Factorising
4
Factorising
5
Solving equations
Factorise
Factorise
Factorise
Factorise
Solve
3a + 6
4ab - 12abc
8x2 + 12xy
4x2y3 + 10xy2z - 6xyz
3a + 5 = 41
Solving equations
9
Solving equations
7
Solving equations
8
Solving equations
Solve
Solve
Solve
Solve
12 - 4a = 24
2(3b + 5) = 58
3y − 5 = 5y + 1
3(x + 5) = x − 1
5
Plotting graphs
12
Plotting graphs
13
Plotting graphs
Plot the graph of
Plot the graph of
Plot the graph of
y = 3x + 5
y = -2x − 8
y = x2 + 5
Gradients
What is the gradient of
the line joining
coordinates (-2, 10) and
(2, 2)?
17
y = mx + c
The m value in y = mx + c
tells us the .............. of the
straight line
18
y = mx + c
The c value in y = mx + c
tells us ...............
14
Real life graphs
A mobile phone tariff is £10
per month plus £0.20 a
minute for calls. Plot a line
graph of monthly cost vs
minutes of calls used
19
Sequences
What is the nth term rule
of this sequence?
10
Conversion graphs
Given that £10 = $16.11,
construct a conversion
graph and then use it to
convert $9 into £
15
Gradients
Plot the coordinates (-2, 4)
and (4, 7) on a graph and
join them with a straight
line. What is the gradient
of the line?
20
Sequences
Write the first 5 terms in
the sequence -2n + 3
3, 8, 12, 18, 23....
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Answers
1
2
3(a + 2)
6
3
7
a = -3
11
4
4x(2x + 3y)
4ab(1 - 3c)
8
b=8
12
Level 6 Sheet 2
5
2xy(2xy3 + 5yz 3z)
9
10
x = 10
y = -3
13
a = 12
£5.59
14
15
Monthly
cost (£)
0.5
Minutes used
16
17
-2
18
Gradient
The y intercept
(where the line
crosses the y
axis)
19
20
5n - 2
1, -1, -3, -5, -7...
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids
1
3D views
Draw the plan, front and side
elevations of this shape
2
Level 6 Sheet 3
Angles in parallel lines
What type of angles are shown
and what is special about them?
3
Angles in parallel lines
What type of angles are shown
and what is special about them?
4
Angles in parallel lines
5
Angle facts
Calculate angle a
What type of angles are shown
and what is special about them?
a
65°
6
Angles in polygons
Calculate the size of an
interior angle in a
regular hexagon
7
Angles in polygons
Calculate the size of an
exterior angle on a
regular octagon
8
Angles in polygons
What do all the interior
angles in dodecagon
add up to?
9
10
Area
Area of this shape
4cm
Area
Area of this shape
3.5cm
5cm
6cm
5cm
11
Circles
12
Circumference?
Circles
Area?
13
Constructions
Draw this diagram then
construct the perpendicular
bisector of the line
14
5cm
Constructions
Draw this diagram then
construct the a perpendicular
from point P to the line
15
Constructions
Draw this diagram then
construct the a perpendicular
from point P on the line
P
10cm
16
Constructions
8cm
17
Transformations
Enlarge by scale factor 2, centre (0, 0)
A
18
B
Transformations
Translate by 3
-4
A
19
B
Transformations
Rotate by 90° clockwise centre (1, 2)
A
20
P
B
Transformations
Reflect in the line y = x
Draw an acute angle and
then construct the angle
bisector
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Answers
1
6
2
3
Alternate angles
are equal
Corresponding
angles are equal
7
8
120°
11
Level 6 Sheet 3
45°
12
4
5
Co-interior angles
add up to 180°
9
a = 50°
10
20cm2
1800°
13
12.5cm2
14
15
P
31.4cm to 1 d.p.
16
201.1cm2 to 1 d.p.
17
A
18
B
A
19
B
A
P
B
20
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids
1
Surface area
Calculate the surface area
2
Surface area
Calculate the surface area
4cm
3cm
4cm
8cm
6
Two-way tables
How many boys don’t have a pet?
Pet
No pet
Total
Boys
4
12
16
Girls
8
14
18
Total
12
26
34
11
Scatter graphs
Plot a scatter graph of this
information
Height (cm)
Arm length
(cm)
16
Level 6 Sheet 4
5cm
Two-way tables
Complete this two-way table
Green
eyes
Boys
Girls
Total
12
Brown
eyes
12
Total
18
9
40
Scatter graphs
Draw a line of best fit on this
scatter graph
Surface area
4
Calculate the surface area
Calculate the volume
6cm
Two-way tables
There are 200 students in a school.
112 of the students are boys. All the
students were asked if they preferred
English or Maths lessons. 90 of the
boys preferred Maths. 60 of the girls
preferred English. How many
students overall preferred Maths?
13
Scatter graphs
Describe this type of correlation
9
2cm
Grouping data
Place this discrete data about
numbers of bees seen each
day into a grouped frequency
table with class intervals of
width 5:
3, 8, 12, 8, 9, 2, 2, 14, 9, 7, 1
14
Pie charts
Draw a pie chart to show this
information
4cm
6m
8
5
Volume
4m
3cm
9cm
7
3
Scatter graphs
Describe this type of correlation
Favourite fruit
Banana
Apple
Orange
Pear
10
Frequency
12
8
7
2
Grouping data
Place this continuous data
about plant heights into a
grouped frequency table with
class intervals of width 3:
2.2, 8.0, 3.1, 3.5, 7.4, 1.1, 11.9,
6.3, 10.5
15
Scatter graphs
Describe this type of correlation
165 148 168 172 155
68 55 72 68 51
Scatter graphs
Describe this type of correlation
17
Scatter graphs
18
Listing outcomes
Describe this type of correlation
A coin is flipped and a
die is rolled at the same
time. List all the
possible outcomes
19
Sample spaces
Draw a sample space
diagram to show all the
outcomes of rolling two
dice and adding the
scores
20
Sample spaces
Two dice are rolled and the
lower score is subtracted
from the larger score. What is
the probability of getting a
result of 3?
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Answers
1
2
136 cm2
3
8
Green
eyes
Brown
eyes
Total
Boys
12
6
18
Girls
13
9
22
Total
25
15
40
12
Arm length (cm)
11
5
131.9
(to 1
d.p.)
7
12
4
cm2
132 cm2
6
Level 6 Sheet 4
Banana
Apple
Orange
Pear
48 cm3
9
10
N.o. bees
Frequency
1-5
4
118
13
6-10
5
11-15
2
14
Strong, positive
correlation
Plant height h
(cm)
0≤h<3
Frequency
2
3≤h<6
2
6≤h<9
3
9 ≤ h < 12
2
15
Weak, positive
correlation
No correlation
Height (cm)
16
Weak, negative
correlation
17
Strong, negative
correlation
18
19
(H,1) (H,2) (H,3)
(H,4) (H,5) (H,6)
(T,1) (T,2) (T,3)
(T,4) (T,5) (T,6)
1
2
3
4
5
6
20
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4 5 6
5 6 7
6 7 8
7 8 9
8 9 10
9 10 11
10 11 12
6/36 (= 1/6)
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Design your own. Questions
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
www.greatmathsteachingideas.com
© 2012 All Rights Reserved
Revision Grids- Design your own. Answers
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
www.greatmathsteachingideas.com
© 2012 All Rights Reserved