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2

PERIMETER AND AREA

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Exercise 1

Work out the perimeter of simple shapes by adding all the given sides or using squared

paper

IN YOUR EXERCISE BOOK, Write the perimeter of each of the shapes – remember to include

units in your answer.

= 1 cm x 1 cm

1 2 3

4 5 6

7 8 9

10 11

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Exercise 2

Calculate the perimeter of the shapes below by adding their sides. Remember to include

your units.

5m 5cm 10cm

2cm 2cm

4m 4m

10cm

12 cm 12 cm

5m

5cm

13m 12m

6m 6m 4cm 5cm

5m

10m 3cm

10m

16cm 3cm

9cm

5cm 5cm 4m 40m

9cm

40cm

28cm 10m

10m 30cm 20m

12cm

8m 15m

20cm

20m 10m 35m

40cm 15m

28cm 20m

12m

20m 10cm 5m

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Exercise 3

Calculate the perimeter of regular shapes with some missing but attainable sides

A REGULAR shape has sides of equal length. If we know one side – we know them all!

Calculate the perimeter of the regular shapes below by adding the sides. Remember to

include your units!

10cm

2m 4m

12m

3cm

3m

11m

12cm

8mm

13mm

(a) (b) (c)

(d)

(e)(f)

(g)

(h)

(i) (j)

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Exercise 4- Extra Exercise

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Exercise 5

Work out or estimate the area of a shape by counting squares.

Calculate the area of the shapes below by counting the squares. Remember to include tour

units:

= 1cm2

1 2 3

4 5 6

7 8 9

10 11

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Exercise 5

Exercise 6

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Exercise 7

Calculate the area of a square and rectangle: Area of a rectangle = base x height

Calculate the area of the following squares and rectangles – Remember to give units.

Extra Exercise:

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Extra Exercise 2:

ANGLES

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Exercise 8

Convert between metric units of length

KEY FACTS mm – millimetres cm – centimetres m – metres km- kilometres

There are 10mm in 1cm

There are 100cm in 1m

There are 1000m in 1km

COPY AND COMPLETE THE FOLLOWING IN YOUR EXERCISE BOOKS

To change centimetres into millimetres we do the following:

To change millimetres into centimetres we do the following:

To change centimetres into metres we do the following:

To change metres into centimetres we do the following:

To change metres into kilometres we do the following:

To change kilometres into metres we do the following:

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Exercise 9

Extra Exercise

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Exercise 10 Calculate the perimeter of compound shapes with some missing but attainable sides Calculate the perimeter of the shapes below – remember to add ALL SIDES

Extension

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Extension 2:

Extra Exercises

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Exercise 11

Calculate the area of a triangle – Area = ½ base x height

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Extension:

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Exercise 12

Find the length of a side of a square/rectangle, given the area

Copy and complete the table into your exercise book – remember to give units

Area of Square Length of Side

100cm2

64cm2

144m2

25mm2

400cm2

1m2

6.25cm2

Exercise 13 – work out the missing side (x)

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Exercise 14

Calculate the area of a compound shape made from squares, rectangles and right-angled

triangles with missing but attainable sides

Extra Exercise

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Exercise 15

The following parallelograms are drawn on centimetre-squared paper. Find the area

Calculate the area of a parallelogram – Area = base x perpendicular height

Extra Exercise

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Exercise 16

Calculate the area of a Trapezium

Calculate the area of the shapes below:

Extra Exercise

12cm

18cm

10cm

Area = 1/2 x (a + b) x h

=1/2 x (18 + 12) x 10

=150cm2

a and b are the

parallel sides

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ANGLES

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Exercise 1

Define the terms: whole turn, half turn, quarter turn

Copy and complete the table in your exercise book

START NEXT STEP RESULT

Half-turn

Quarter turn clockwise

Quarter turn

anticlockwise

Full turn

Half-turn

Quarter turn clockwise

Quarter turn clockwise

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Exercise 2

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Exercise 3

Recognise the eight points of the compass

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Exercise 4

Use a protractor to measure and draw any angle

Extra Exercise

Draw the following angles in your exercise book – leave plenty of space!

a. 36˚

b. 45 ˚

c. 76 ˚

d. 18 ˚

e. 120 ˚

f. 140 ˚

g. 100 ˚

h. 190 ˚

b

a

d

c

f

e

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Exercise 5

Name an angle using conventional notation

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Exercise 6

Categorise types of angles, i.e. acute, straight, obtuse, reflex

COPY AND COMPLETE IN YOUR EXERCISE BOOKS

Q1. Match each type of angle to its description

Acute

An angle greater than 90o but less than 180o

Straight

A 90o angle

Obtuse

A 180o angle

Reflex

An angle less than 90o

Right

An angle larger than 180o

Q2. What type of angle is each value below?

a) 53o ______________________________

b) 150o ______________________________

c) 69o ______________________________

d) 263o ______________________________

e) 48o ______________________________

f) 118o ______________________________

g) 156o ______________________________

h) 192o ______________________________

i) 90o ______________________________

j) 181o ______________________________

k) 153o ______________________________

l) 180o ______________________________

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Exercise 7

Extra Exercise

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Exercise 8

Categorise types of triangles i.e. isosceles, scalene, right angle, equilateral

In your exercise book, list the triangles that are:

Equilateral

Isosceles

Right Angled

Scalene

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Exercise 9

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Exercise 10

Calculate a missing angle using the appropriate angle fact

A RIGHT ANGLE IS 90˚

ANGLES IN A STRAIGHT LINE TO 180˚

ANGLES AROUND A POINT SUM TO 360˚

VERTICALLY OPPOSITE ANGLES ARE EQUAL

Exercise 11

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Exercise 12

Exercise 13

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Exercise 14

Calculate a missing angle in a triangle

Exercise 15 – Calculate more than one missing angle (Q11 onwards)

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Exercise 16

Calculate missing angles in triangles using special triangles

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TIME

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Exercise 1

Read and write time in digital form and in words / Interchange 12 and 24 hour times

Copy and complete in your exercise books

Extra Exercise / Interchange 12 and 24 hour times

0 8 : 1 0

1 0 : 2 0

1 8 : 3 0

1 1 : 1 0

0 0 : 4 0

2 2 : 1 5

2 0 : 2 5

1 2 : 1 5

0 7 : 0 5

0 6 : 5 5

1 7 : 3 5

Words

Ten past Eight

Digital Time (24 Hour) 12-hour

8.10am

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Exercise 2

Draw an analogue clock to show a time given in digital form and in words

YOU WILL BE GIVEN A SHEET TO STICK INTO YOUR BOOK – ON THIS SHEET, DRAW THE

FOLLOWING TIMES:

1. 23:00 11. Ten past nine

2. 17:00 12. A quarter past twelve

3. 12:10 13. Half past three

4. 00:00 14. Ten minutes to nine

5. 13:15 15. Ten minutes past one

6. 12:55 16. Half past two

7. 17:45 17. A quarter to eight

8. 14:20 18. A quarter past three

9. 11:40 19. Twenty minutes to six

10. 00:40 20. Half past five

Exercise 3- Calculate time intervals

0 8 : 1 0 until 0 8 : 3 0

1 0 : 2 0 until 1 2 : 2 0

1 8 : 3 0 until 1 8 : 4 5

1 1 : 1 0 until 1 2 : 0 0

0 0 : 4 0 until 0 1 : 0 0

2 2 : 1 5 until 2 3 : 4 5

2 0 : 2 5 until 2 2 : 3 5

1 2 : 1 5 until 1 4 : 2 5

0 7 : 0 5 until 0 8 : 5 5

0 6 : 5 5 until 0 7 : 5 0

1 7 : 3 5 until 1 6 : 0 5

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Exercise 4

Extra Exercise / Solve time problems in context

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Exercise 5

Extract information from simple timetables

A.

A bus leaves Southville at 10:38

1. At what time should the bus arrive in Newtown?

2. How long will the journey take?

James arrives at the Milton bus stop at 09:29

3, How many minutes should he wait?

4. At what time should James arrive at Red Island?

Sally wants to travel from Southville to Bakerstown. The 12.05 is the “express” buss

5. How many minutes shorter is the Journey if she takes the “express” bus?

40

B.

41

C.

42

Exercise 6

Add a time interval on to a given time

Copy and complete in your exercise books

Exercise 7

Subtract a time interval from a given time

1 8 : 0 0 minus 30 mins

1 2 : 2 0 minus 30 mins

1 3 : 1 5 minus 45 mins

1 1 : 1 0 minus 45 mins

1 4 : 4 0 minus 15 mins

2 3 : 1 0 minus 1 hour 30 mins

1 0 : 3 0 minus 1 hour 10 mins

0 8 : 1 0 plus 30 mins

1 1 : 3 0 plus 30 mins

1 2 : 1 0 plus 45 mins

1 4 : 1 5 plus 45 mins

0 4 : 4 5 plus 15 mins

2 3 : 1 0 plus 1 hour 30 mins

1 0 : 3 0 plus 1 hour 10 mins

1 4 : 2 5 plus 40 mins

0 8 : 0 0 plus 50 mins

0 7 : 5 0 plus 50 mins

1 7 : 3 0 plus 45 mins

0 9 : 4 5 plus 55 mins

1 5 : 3 5 plus 55 mins

1 8 : 3 5 plus 1 hour 40mins