22
Maths Year 7 January 2014
Maths Year 7January 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.
G.
F.
E.
D.
C.
A.
5 cm
6 cm
9 cm
10 cm
6 cm
12 cm
4 cm
4 cm
2 cm
5 cm
9 cm
15 cm
10 cm
4 cm 3 cm
4 cm
6 cm
10 cm
5 cm
20 cm
5 cm
4 cm
6 cm
2 cm
1 cm
4 cm 5 cm
8 m
2 m
4 m
20 cm
8 m 4 m
B.
7 cm
3 cm
P = 22cm
A = 13cm2P = 38cm
A = 66cm2
4 cm
4 cm
9 cm
6 cm
P = 36cm
A = 78cm2
6 cm
P = 44 cm
A = 126 cm2
5 cm
6 cm
P = 51 cm
A = 124 cm2
P = 66 cm
A = 108 cm2
P = 66 m
A = 88 m2
16m
[email protected] 5 Pack 4. Page 37.
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). 5).
6). 7). 8). 9). 10).
11). 12). 13). 14). 15).
16). 17). 18). 19). 20).
21). 22). 23). 24). 25).
26). 27). 28). 29). 30).
31). 32). 33). 34). 35).
36). 37). 38). 39). 40).
5 cm
6 cm
7 cm
10 cm
3 cm
7 cm4 cm
6 cm
2 cm
6 cm
9 cm7 cm
3 cm
12 cm
8 m
12 m
2.5 m
8 m
8 cm
2 cm
12 cm
3 cm
6 cm
4 cm
10 m
5 m 9 mm
6 m
11 cm
7 cm
10 cm
9 cm
8 mm
2 cm
15 mm
410 cm
5 m915 cm
6.2 m
3.2m
8.5 cm
7 cm
11 cm
9 cm7 cm
5 cm
5 m
7 m
6 m
12 m
5m9 m8 m
9 mm
12 mm
10 mm
13 m
7 m15 m
8 m
1.4 m
8 m
2 m
4.1 m
9.2 m
6.4 m
240 cm
3 m420 cm 5 m 2 m
70 cm
3 m7.2m
500 cm
8 m
1.5 m
70 cm
90 cm
2.4m
6500 mm
7.2 m13 m
9 m
120 cm
4 m
2 m
3.2 m
4 m
7 cm
10 cm
8 cm
14 cm
4 cm7 cm 10 cm
5.2 m
6 m
10 m
14 cm
40 mm
7 cm 90 mm
5.2 m90 cm
4.4 m
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!
16.01.14Volume!
Volume is the space inside a 3d shape
Next page is volume
worksheet! 17/17
Volume = length x width x height!
Surface area
!
Volume questions ⬆️
Equations 29/01/14An equation have an unkown letter and an = sign.
An expression is a collection of letters and numbers. No =
31/01/14Balancing Equations
Balancing Equations p2 31/01/14
03/01/14Solving 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 equationsFormula contains an = sign, and has more than one type of letter!
Angles 13/02/14
14/02/14Angles
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
Angles 24.01.14
Angles in a triangle add up to 180
All angles in an equilateral are 60 Base angles in an isosceles triangle are equal
Angles In a quadrilateral add to 360
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 180o
This is how many degrees
The bit in the bracket stands for there are in each triangle.
the number of triangles inside the polygon.
Angles in a polygon 26.02.14
