Maths Year 7

Maths Year 7
January 2014
Contents
Area perimeter volume
Equations and formulae
Angles
Coordinates, Mappings and Graphs
Percentages
Probability
Ratio
Measurement and Estimates
Number patterns and sequences
Shape and Symmetry
Data
Bowland Project
Perimeter & Area of compound shapes
1. Work out any missing lengths you need.
2. Calculate the perimeter of each shape.
3. Calculate the area of each shape, showing all your working.
7 cm
5 cm
1 cm
4 cm
6 cm
5 cm
3 cm
P = 22cm
A = 13cm2
2 cm
4 cm
A.
P = 38cm
A = 66cm2
9 cm
3 cm
4 cm
P = 36cm
A = 78cm2
9 cm
10 cm
6 cm
15 cm
5 cm
P = 51 cm
A = 124 cm2
D.
12 cm
6 cm
2 cm
4 cm
4 cm
20 cm
6 cm
5 cm
5 cm
E.
P = 66 cm
A = 108 cm2
2m
4m
4m
5 cm
4 cm
6 cm
8m
8m
B.
4 cm
C.
6 cm
9 cm
P = 44 cm
A = 126 cm2
6 cm
10 cm
4 cm
10 cm
F.
P = 66 m
A = 88 m2
16m
20 cm
G.
Parallelograms and Triangles.
Find the area of the following parallelograms and triangles.
Remember to give the units for each answer. (Diagrams are not to scale).
1).
2).
3).
4).
7 cm
5 cm
5).
3 cm
4 cm
9 cm
7 cm
6 cm
10 cm
3 cm
6).
6 cm
7).
8).
9).
8m
2 cm
11).
10).
3.2 m
2.5 m
4m
12 cm
6 cm
8m
12 m
12).
13).
14).
6 cm
4 cm
3 cm
12 cm
15).
9 mm
5m
2 cm
10 m
8 cm
16).
7 cm
17).
18).
19).
11 cm
7 cm
3.2m
5 cm
7 cm
6.2 m
20).
9 cm
8.5 cm
6m
21).
6m
22).
23).
8m
5m
5m
9m
7 cm
12 m
7m
24).
14 cm
5.2 m
4 cm
7 cm
8 cm
25).
10 cm
6m
10 cm
10 m
26).
27).
10 mm
9 mm
28).
11 cm
10 cm
7 cm
12 mm
29).
7m 8m
30).
8m
15 m
13 m
6.4 m
9.2 m
2m
9 cm
4.1 m
1.4 m
31).
5m
32).
3m
420 cm
3m
240 cm
33).
14 cm
34).
35).
40 mm
2m
7 cm
7.2m
90 mm
70 cm
90 cm
8m
1.5 m
70 cm
2.4m
500 cm
120 cm
36).
37).
15 mm
8 mm
2 cm
Level 5 Pack 4. Page 37.
5m
38).
4.4 m
40).
13 m
915 cm
5.2 m
410 cm
39).
90 cm
6500 mm
9 m 7.2 m
4m
2m
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Area of a triangle and parrolelagram
13/01/14
Base x height = area of a parrolelagram
Base x height divided by 2 = area of any triangle
The height and the base are perpendicular. This means they meet at a right angle.
Perpendicular!
Volume!
16.01.14
Next page is volume
worksheet! 17/17
Volume is the space inside a 3d shape
Volume = length x width x height!
Surface area
!
Volume questions ⬆️
Equations
An equation have an unkown letter and an = sign.
An expression is a collection of letters and numbers. No =
29/01/14
Balancing Equations
31/01/14
Balancing Equations p2
31/01/14
03/01/14
Solving Equations with Brackets
Ex
Ex
Ex
Equations with unknowns both sides.
05/02/14
Forming Algebraic Expressions
Section A
Section B
Write down an expression for the perimeter of the following shapes:
Extension Questions:
Writing equations
Formula
contains an
= sign, and
has more
than one
type of
letter!
Angles
13/02/14
Angles
Angle fact 1: angles in a right angle add up to 90
Angle fact 2: angles on a straight line add to 180
Angle fact 3: vertically opposite angles are equal!
Angle fact 4: angles round a point add to 360
14/02/14
Angles
24.01.14
Angles in a triangle add up to 180
All angles in an equilateral are 60
Angles In a quadrilateral add to 360
Base angles in an isosceles triangle are equal
Angles In Polygons.
A polygon is a shape with
sides.
A regular polygon has equal sized
and
The number of interior angles and the number of exterior angles is the same as the number of
that a polygon has.
Exterior Angle
+ Interior Angle =
o
or
or…….any 4-sided shape
Name Of Shape
No Of
Sides.
No Of
Triangles
Inside.
Total of
Interior
Angles.
Size of
Each
Interior
Angle.
Size of
Each
Exterior
Angle.
No of
Exterior
Angles.
Total of
Exterior
Angles.
3
4
5
6
7
8
9
10
11
12
If n = the number of sides that the polygon has then the total of the interior angles in a polygon
= (n -
) x 180
o
The bit in the bracket stands for
the number of triangles inside the polygon.
This is how many degrees
there are in each triangle.
Angles in a polygon
26.02.14