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

help@www.10ticks.co.ukLevel 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