b) a a' e b' b f d s e f' t a · b b) ca bc) c a b d) b c a e) c a b f) c a b g) c b...

© CIMT, University of Exeter

MEP: Primary Project: Year 6m e p

a)

A A'

B' B

a

C

D

E

b)

C

E

E'

S

F

F'

T

LP 81/3i



LP 81/3ii

c) d)

C

B'

E

a

A

D

B

A'

P'

R

P

e

Q

Q'

S



LP 81/3iii

e)

P

P'

Q

Q'

R

S



321

5 64

810

7 9

11

LP 81/4



LP 81/5

a) b)

c) d)

e) f)



LP 81/6

– 2

2

y

x0 4 6 8 10– 8 – 6 – 4 – 2 2

8

– 10

– 4

– 6

– 8

4

6

8

10

– 10



LP 81/7

a) b) c)

e) f)

g)

d)

h)



LP 82/3

Start

Finish



LP 82/4

O

A B

CD

a

b

c

d



1st position 2nd position

3rd position

60 m

30 m

LP 82/6



LP 83/5

a)

t

b) A C

B

t

c)

tA

B

CD

E

d)

A B

CD

t

e)

t

f)

tA

B

C

DE

F

A B

CD

E

F

G H



LP 83/6

a)

A

A

D

t

B

C

E

FG

H

I

J

b)

t

B

C

D

E

F

c)

t



LP 84/3

a) trees A and B

A

B

b) pathsc and d

c

d

c) pathse and f

e

f



LP 84/4

a)

A

m

b) B

m

c) d)

mm

CC

A B

D



LP 84/5

a)

m

b) BA

m

c)

C

m



LP 84/6

a)

m

b)B

m

c)

C

m

A

B

a

C

b D

c

d)

m

e)F

m

f)

F

m

D

E

d

E

e Gf

g)

m

H

G

g



LP 85/1

1

5

2 3

6

4

78



LP 85/3

a)

t

b)

t

c)

td)

t

e)

t

f)

t



LP 86/2Use 2 copies, 1 on transparent paper.



LP 86/3

m n

12

6 54

3

21

9

87

1011 12

6

3 9



LP 86/4

m n

A

B

C



LP 86/5

m

n

A

B

C

D



LP 86/6

m

AB

C

n



LP 87/2

M

A

A'

BB'

m

M'



a) m

AB

C b) m

AB

C

c)

mA

B

Cd)

mA

B

C

LP 87/3



LP 87/4

A

mP

Q

A'



LP 88/2



LP 88/3

1 2 3 4

5 6 7



LP 88/4

a) b)A

BA

e

f

c) d)

O

k

e

B

A



LP 88/6i

height

arm

arm

base

AB

C

D



LP 88/6ii

a) This symmetrical triangle has equal sides and is called

an isosceles triangle.

b) If a triangle has 2 equal sides, it is .

c) AC = ; ∠ A ∠ B; ∠ ACD = ∠

d) The equal sides are called the of the triangle.

e) AB is the of the triangle.

f) The line of symmetry bisects the and is

perpendicular to it.

g) AB ⊥ ; AD DB

h) CD is the of triangle ABC from its base.



LP 88/7

C

A BD

Ma) ∠ A = =

AB ⊥

AD DB

b) Any equilateral triangle is an triangle.

c) An equilateral triangle has lines of symmetry.

d) DC is the of the equilateral triangle.



BC

m

bc

A

aLP 89/3



LP 89/4

A

B Ca

b

1



LP 89/6

A

BC

a=

3.5

cmb

= 5

cm

A

BC

3 c

m

A∠

≈A

∠≈

B=

C =

∠

∠B

=C

∠

∠≈

a=

6 c

m

A

BC

a=

4 c

m

A =

∠

CB

A

a=

4.5

cmb

= 3

cm

A∠

≈

B=

C =

60 °

∠∠

B=

C

∠∠

≈

6060



LP 90/1

A B

CD

E



LP 90/4

°a) An equilateral triangle has angles of and has

three sides.

b) An isosceles triangle has at least equal .

c) An equilateral triangle is also an triangle.

d) A triangle which has sides in the ratio of 3 : 4 : 5 is a

triangle.

e) A triangle with 3 different sides is called a

triangle.

f) There is no triangle which has a angle.

g) The sum of the angles of any triangle is .°



LP 91/2

11 13

15

9

12

1817

4321

8765

10

14 1616



LP 91/3

a)

C A

B b)

C A

B c) C

A

B

d)B

AC

e)

C A

B f)

C

A

B

g)

C

B

h) B

A

C

A



LP 91/5

A C

B

A C

Ba) b)

c)

A E

FD



LP 91/6i

a) A quadrilateral is called a if its

diagonals bisect each other.

b) A quadrilateral with equal angles is called a .

c) A quadrilateral with equal sides is called a .

d) A regular quadrilateral is called a .



e) A quadrilateral is called a if one of its

diagonals lies on a line of symmetry.

f) Every deltoid has two pairs of adjacent sides.

g) Every rectangle is a .

h) Every rhombus is a .

LP 91/6ii



LP 92/2a



LP 92/2b



LP 92/2c



LP 92/3

2 cm

C

D B

3 cm

2.5 cm

A

M2.5 cm

Sketch



LP 92/7

A Ba

CD c

he f

bd



LP 93/2

a)

B

A

d)

ab

e)

O

tT

f)

O P

k k1 2

b) A

e

c) A

O

k



LP 93/5

A

BC

α *α

γ γ *ββ *

α α + β + γ α * + β * + γ *β γ α * β * γ *

40°

65°

120°

a)

b)

c)



LP 93/6Label appropriately for each question.

A60°



LP 93/7

A

B

e



O

A

LP 94 / 4–7



1 3

6

11 12

89

10

13 14

7

4 52

LP 95/1



✂ LP 96/3



LP 96/4

1 2 3

4 5 6



LP 96/5

a) b)

c) d)



LP 96/7

a) b)

c) d)

BA

CD

A B

C

DE

F



✂ LP 96/8iFor teacher.



LP 96/8ii✂For pupils.



LP 97/2✂



LP 97/3

i) ii)

iii) iv)



LP 97/4

i)

C

AB

FE

D

ii)

BA

D

C

EF



LP 97/5

i) ii)

C A

B

AC

B

iii) A

B C



LP 98/2

H

IJ

G

E

D

C

A

B

F

✂



LP 98/4

D

A

E

B

C



v

u

w

G HE F

C DA B

Sketch

LP 98/5



LP 98/6

a)

a

b

c

γ δ

αβ58

b)

C A

B

β

58

c)

A B

D

α

67

Cγ

βMδ

A B

d)

36

γ

71

C



LP100/1

a)

c)

b)

d)



LP100/3

A

DC

B



a)

A

C

37

x

B

b)

Bx

A

C

112

c)

A B

D C

C A

d)47

x

98M

B

x

LP100/4



LP101/3

70% of 80

120% of 400

80% of 70

400 + (20% of 400)

80 – 80 0.3×

70 ×45 8 0.7×

(400 100) 120×÷

400 1.2×✂



LP101/4

a) 45.8 kg = g; 718 g = kg;

5.1 t = kg

b) 3.4 litres = cl = ml;

216 cl = litres; 470 ml = litres

c) 2.9 km = m; 53 cm = m;

4280 mm = m

d) 233 min = hr; 10.4 hr = min;

45 sec = min



LP102/2

Leng

th1

cm

1

inch

(1 "

) =

25.

4 m

m

≈

1 m

1

foot

(1 ')

= 1

2 "

= 3

0.48

cm

≈

1 m

1

yard

(1 y

d) =

3 '

= 9

14.4

mm

≈

1 km

1

mile

= 1

.609

km

≈

1 km

1 N

autic

al m

ile =

1.8

52 k

m≈

Are

a

Mas

s (w

eigh

t)

1 kg

1

ounc

e (1

oz)

28.3

3 g

≈

1 kg

1

poun

d (1

lb)

0

.453

5 kg

≈

1 to

nne

(t)

1

hund

redw

eigh

t (1

cwt)

5

0.79

2 kg

≈

≈≈

≈

1 g

1

grai

n (1

gr)

0.0

6481

g≈

≈

Cap

acity

Volu

me

Tem

pera

ture

1 cm

1 sq

uare

inch

6.54

cm

≈

1 m

1

squa

re fo

ot

92

9 cm

≈

1 m

1

squa

re y

ard

0

.836

m≈

1 ha

1

acre

0.40

47 h

ecta

res

(ha)

≈

1 km

=

1

hect

are

= 1

0 00

0 m

≈2

2

≈2

2

≈2

2

≈

≈2

22

Uni

ts o

f Mea

sure

Fahr

enhe

itC

elsi

us→

Fahr

enhe

itC

elsi

us→

xF

=(x

– 32

) ×9

C)

5x

C =

(

1 lit

re

1

gallo

n (1

gal

)

4.5

455

litre

s≈

≈

1 lit

re

1 pi

nt (1

pt)

0

.568

2 lit

re≈

≈

1 cm

1

cubi

c in

ch

16

.387

cm

≈

1 m

1

cubi

c fo

ot

0

.028

32 m

≈

1 m

1

cubi

c ya

rd

0

.764

m≈

≈3

3

≈3

3

≈3

≈3



LP104/2

a)S

quar

es a

nd r

ecta

ngle

s

i)ii)

iii)

iv)

v)vi

)vi

i)vi

ii)

c)T

riang

les

i)ii)

iii)

iv)

v)vi

)vi

i)vi

ii)

d)R

ight

-ang

led

Tria

ngle

s

i)ii)

iii)

iv)

v)vi

)

vii)

viii)



a)

a

b

c) d)

b)

c

d

LP104/3

c)

a

d)

b



d)

b)

A =

A =

P =

a

h

a

bb

LP104/4

a)

c)

A =

P =

A =

P =

a m

b

b

a

b

c



LP106/2



LP106/6

a

A

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

A

a

1 4 9 16 25 36 49 64 81 100 121 144 169 196 225

LP106/4



a) i) 100 = ii) 10 000 =

iii) 1 000 000 =

b) i) 256 = ii) 2 56. =

iii) 25 600 =

c) i) 0 25. = ii) 25 =

iii) 2500 =

d) i) 1 96. = ii) 196 =

iii) 19 6. ≈LP106/8



LP107/3

A

B

C

Along an edge In a layer Total number of cubes

CBA



LP108/2

A

b = 3 cm

a = 5 cm

=

a)

A

h = 4 cm

a = 3.2 cm

=

b)

c)

ef

f = 40 mme= 60 mm

A =

d)

a = 1.6 m

A

e)A = 81 m

a

a

2

f)

a = 7 cma

a A =

V =

g)

4 m

2 mA =

V = 1 m

= =



LP108/3

a) b) 2 cm

4 cm

4 cm

c)2.3 m

5 m

2.5 m

2 m

A =A =

A =

V =

d) 3 mm

3 mm5 mm

A =

V =

e)

ef

g

A =

V =

f)

ss

s

A =

V =



LP108/4

3.5 cm

3 cm

3 cm

4 cm5 cm



LP108/4ii✂Make 2 copies on card, cut out and fold to form half a cubeoid.



a

V

1 2 3 4 5 6 7(units)

(unit cubes)

8 9 10

LP109/3a

LP108/5

x

x

– 4.1 2

0

– 2–

0.74.14.1 2

34

34

0 – 0.7 – 11

11

– 0.93

0.93 2

LP109/2c

x

y

1 – 1 4 0 2.5 – 2 5

0.6



– 1

1

y

x0 2 3 4– 2 1

– 2

2

3

– 1 5

LP109/3b



LP109/4

2

5

a

A

4

200 2515105

1

3

a

A

0 1 2 3 5

0



LP109/7

a

A

0.1 0.9 5

24 37.5 600

134

16

LP109/5

a

V

0.1 0.9

64 125

101.1

1

23

278

1000



1

01 2 3 4 5

b

2

3

4

5

a

(cm)

(cm)LP109/6i



LP109/6ii

1 01

23

45

b

2345

a

(cm

)

(cm

)

10 6789



LP110/5a

113.7

6

125

0.2

864

0.001

96

1000V (cm )3

A (cm )2

a (cm)

1000

6

x

y

0

0

LP110/3



1

y

x02 3 4– 2 1

– 2

2

3

– 1

– 1

LP110/5b

b) a a' e b' b f d s e f' t a · b b) ca bc) c a b d) b c a e) c a b f) c a b g) c b...

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