Rabotna tetratka 5 odd

2nd edition
Name:
Nelson Internat;onal
Mathemat;cs
~XiOOl!x!fll ~

Task done Taskdone
Page ./ Page ./
-2~ Beyond 999 4 0 Ii• Locating decimals on...3
Ca number line 24
~~ What is it worth? 5 0
It.Units of length 25
("""1
..__)
{~aRounding to 10 or 100 6 (_)
It• Measure in different units 26
r=>;
~
~3 Rounding to 1000s 7 0~-
~. Measuring scales 27
("""1
<::.
~
Using inverse operations 8 0
~. Comparing scales 28 C)
(.2a Order of operations 9 0
~2a Counting in steps 29 02aMissing operation signs 10 0
'29Adding and subtacting
2.8 0
~-
I'Working in order 11 by counting in groups 30 ',---,
~2-: Are they the same? 12 0 .2-: Position on a grid 31
r=>:
ii'3 .a L__,
". Finish the shapes 13 0 ;.23 Multiplication facts 32 0;r.-
~. Symmetry in polygons 14 0 29 Division facts 33 0iii-
~. More symmetry 15 0 -23 Factors 34
"L__"
~-
~. Symmetry patterns 16 0 -2-, Divisibility rules 35
r=>
('3 L__,
If". Spinning logos 17 0 rlrt Different scales 36 U
'" ". National flags 18 0 rlrJ Show choices on
0~:. Classifying triangles 0
a pictogram 37
19
~ •• Showing time on
(t2a Positive and negative~-
0
numbers 38 Cdifferent clocks 20
29 Temperature changes 39
r=-;
". Holiday activities 0 L_.,
21 ~.
~. Looking at parallel lines 40 r-'
~. Units of time 22 0 ~
It • Parallel and perpendicular
.2a Making decimals 23 0 41 Clines in real life
Contents

Taskdone Task done
Page ./ Page ./
Ii
• Angles 42 0 2a More division 62 r=>
~- ...__)
~ • Angles on a straight line 43 0 -2' The sawmill 63 r--I
,.3 ..__j
(2~
Equivalent fractions 44 0 t2~What willyou do with'1i'l3 ("3iOl-
the remainder 64 r=>
.2a ...__)
More equivalent fractions 45 0
2~
-r. Shapes and nets 65 0Improper fractions and
2amixed numbers 46 0 Birdwatching 66 0~-
~aName the fraction 47 0 (..2~ Colour the correctf3
proportions 67 I")
... 0
'-._/
"l. Perimeter 48
<~~Ratio 68 0
". More perimeter and area 49 0 (
r2a Recipes and proportions 69 C(r2a Multiplying by 10 and 100 50 0
10-
-2- Bubble percentages 70 rr>.
~~
i"3 L_)
Mulitplying and dividing
~~by 10 and 100 51 0 Problems involving
~('~3
percentages 71 0Doubling and halving 52 0 (r2~ Percentages, decimals
~~. Reflections 0
a53 and fractions 72 0
It". Translated shapes 54 C) .2a Equivalent fraction wheels 73 C
~.aPairs of decimals that 2aOrdering equivalent
make 1 55 0 fractions 74 0
Ct2.., Making lOs 56 0 flrt Likely and unlikely events 75 013
2JJ Decimal puzzles 57 0 2a Choose your method 76 0r.-
~2'" Frequency tables 58 0 '~.aFind the area 77 C",3
Bar line graphs 59 0 t
Multiplying decimals 78 0r2a~-
More line graphs 60 0 2('3 Work out the mass 79 C
.~ Mental division strategies 61 0 ...2a Mixed calculations 80 rro- ,__.J
Contents

see Student Book page 6
IICalculate in your head:
a 43 188 + 100 4-3288 b 43188 + 1000 - 4-4-188
c 43 188 + 10000 53188 d 43188 100 - 4-3088
e 43 188 1000 4-2188 f 43188 10000 33188
9 34347 + 200 34-54-7 h 34347 + 2000 3634-7
•
34347 + 20000 54- 34-7
•
34347 200 34- 14-7I J
k 34347 2000 3234-7 I 34347 20000 14-34-7
m 20000 + 100 - 20100 n 30000 + 1000 31000
o 50000 + 10000 60000 p 20000 100 Ig gOO
q 30000 1000 - 2g000 r 50000 10000 4-0000
Number Ten thousand Thousands Hundreds Tens Units
10000s 1000s 100s lOs ls
12350 • • • ••• • • • • •
58016 ••••• •••• • • •••••••••
22483 •• •• •••• • ••• • ••••••
18095 • •••• ••••• ••••••••• ••••
73812 ••••••• ••• • ••• • • •••••
82743 •••• •• ••••••• • ••• • ••••••
69741 •••••• ••••• • •••••• •••• •••••
12694 • •• •••••• • •••• ••••••••
93621 ••••• ••• •••••• • • •••••
21762 •• • ••••••• •••••• ••
o Complete the chart. Draw dots to represent the
number for each place value. The first one has been
done for you.
Beyond 999

Write in words what each underlined digit is worth.
0 125609 D 125609
six hundred nine uni ts
D 58463 II 58463
six tens four hundred
0 58463 D 752186
itfty ihou.sa.n,d. itfty ihou.sa.n,d.
II752186 II 752186
eigh.t tens seven, hundred th.ouscnd
0 837612 IE 627141
th.irt~ thousand six h.u.n,d.red.thou.send
m 766431 179487
four h.u.n,d.red. one h.u.n,d.red.thousand
H.Th T.Th Th H T U
1 2 5 6 0 9
The digit 5 is worth five thousand because of its position
in the number.
122609
What is it worth?

IIA newspaper reported that 1300 people attended a cricket match .
a If this number was rounded to the nearest 10,what is the smallest and greatest
number of people who could have attended? 12Cf5/12CfCf
b If this number was rounded to the nearest 100,what is the smallest and greatest
number of people who could have attended. 1250/134-Cf
c Tell your partner how you worked out your answers. Discussion.
Number Toth e nearest 10 To the nearest 100
369 370 4-00
481 4-80 500
1402 14-00 14-00
8492 84-CfO 8500
6445 64-50 64-00
2569 2570 2600
1385 13CfO 14-00
8884 8880 8CfOO
5495 5500 5500
7783 7780 7800
(2~ G;?)
258
256244 241
(2~
259
o Circle the numbers that round to
250 when they are rounded to the
nearest ten.
II Circle the numbers that round to
1500 to the nearest 100. 1569 1416
1575 1590
D
1439
Roundeach number to the nearest
10 and to the nearest 100.
Rounding to 10 or 100

...........5000
4000
1790
58235459
7000 -r---=61=29:-- ....................___ 6-95---=5
3125l------H- 3000
1250
800
9160
8000 """';'---C7500
2263
8350 2863
1000
9000 .__+--_-+-!-8978
Round each number to its nearest thousand .
Join it to its nearest thousand with a line .
The first one has been done for you .
Rounding to 10005

tru.efalse
1656 .;-Ci - 18lt-228 x 6 - 13lt-lt-
184 x 9 = 16561344 -;-6 = 228
false
7 x 25lt- - 778
778 -;- 254 = 7
true
25 x 13 - 325
325 -;- 13 = 25
true
A2 x 8 - 5Ci36
5936 -i- 8 = 742
true
true
3664- + 1086 = 4-750
false
522 - 3lt-lt-- 178
178 + 344 = 52298 -;- 4 = 21
IJ
o
o fJ
You can use a calculator to help you .
True
_--_divide
inverse
_--_ subtract
multiply
add
15 x 3 = 45
45 -;- 3 = 15
inverse
For each number sentence , check whether it is true or
false. Write the inverse number operation to check . Then
write true or false . The first one has been done for you .
Using inverse operations

D Swap with a partner. Work out the answers to your
partner's calculations. Own. work.
f __e __d __
c __b __a Own. work.
o Make up six calculations of your own. Make sure there
are at least three steps in each one.
Order of operations
0 For each calculation:
• circle the part you would do first
• underline the bit you would do second
• work out the answers.
a {W-2}-3 b835 10
c @-9)x 24-6 66 d 144~ 102
e 10+7-8 5 f€:)-2
9 5-€ 7 D 0 h 1573-6+ 2} 0
i€l_@ 0 j 7-€3> 3
k0-17 18-3 6
m4X2-E:}) 0 n 2+2+8 8
oGx~@ 2 p~x@O : 2)7 11 10
q 2XO+5 II r€+~~(; 2D 6
s (99 + 22JL11 II t 87([l'6'-14}1 3

D Use <, > or = to make true statements.
a (8 + 7) X 5 > 8 + 7 X 5
b 7 + 2 X 4 < 5 X 2 + 6 Remember:
c 5 X 9 3 < 8 + 4 X 8 > means 'greater than'
d 23 12 6 > 2 + 6 X 3 < means 'less than'
e 5 X 5 5 - 5 5 X 5 = means' equal to'
f 36 12 3 - 24 12 . 2
IIPut in the brackets to make these statements true .
a 5 X ( 7 3 ) - 20
b 28 (13 6) - 21
c (6 5 ) X 12 - 12
d (38 23) + (17 12) - 10
e 48 (12 + 6 X 6) - 1
f (23 18 5 ) X 7 - 0
g (5 X 6) (13 10) - 10
h 8 X (7 2 ) - 40
Missing operation signs
0 Put in the operation signs (+, -, +, x) to make these
number sentences true. You may also need to use
brackets.
a 2 + 3 [J 4 =1 b 2
0 3 4 =2
c 2 [J 3 8 4 =3 d 2
0 3 8 4 =10
e 8 0 3 [J 2 = 22 f 8
0 (3 8 2 ) = 40
g 8 0 3 [J 2 =12 h 8 [J (3 0 2 ) =2
•
8 [J 3 0 2 =10 •
8 G 3 [J 2 =9I J

D Draw a flow diagram (on a separate piece of paper) to Own work.
teach someone how to work in the correct order in maths .
e 80 - 5 - 5 - 5 - 5 - 5 - 5 = 80 - (5 + 5 + 5 + 5 + 5 + 5) _t_ru_e. _
f 64 7 2 7 2 7 2 7 2 7 2 7 2 = 64 7 (2 x 2 x 2 x 2 x 2 x 2) _t_ru_e. _
fa.lse.
fa.lse.
true.
true.a (100 + 10) + 2 = 100 + (10 + 2)
b (100 x 10) X 2 = 100 x (lOx 2)
c (100 - 10) - 2 = 100 - (10 - 2)
d (100 7 10) 7 2 = 100 7 (10 72)
D Write whether each statement is true or false .
n 27 - (1 4 - 8) = 21m lOx (6 + 4) = 100
1(6 - 3)x 2 = 6k (7 + 10 - 5) 7 2 = 6
j 12 + 6 7 (7 - 4) = 14i 5 + 2 X (3 + 7) = 25
4) X 5 = 30h (109 (6 + 6) X 3 _ 36
8) - 6 _ 2f (64e (18 + 9) . 3 = 9
4) + 1 _ 6d(20e 20 7 (4 + 1) _ 4
b (16 - 7) X 3 = 27a 9 X (2 + 3) = 45
o The answers to these calculations are correct , but
the brackets have been left out of the problem s. Add
brackets to make each number sentence true . Some
number sentences might not need brackets .
Working in order

D Choose four digits of your own . Use brackets and
operations as in question 2. Use the space below to
make as many different numbers as you can .
Choose one of the numbers you have made . Can you
make it in more than one way using the same four
digits?
Own. work.
II Fill in the operations and brackets to make
true statements.
a (7 + 3) x 5 4 = 46
b 7 x 3 + 5 4 = 22
c (7 3) x 5 + 4 = 24
d 7 3 x 5 x 4 = 80
e(7 + 3 ) x 5 x 4 = 200
Are they the same?
0 Here are some pairs of expressions.
Write whether each pair gives the same or a
different result.
a 2 + 3 X 4 and 3 x 4 + 2 same
b 2 X 12 3 and 12 . 3 x 2 sa.me.
c 50 - 25 - 5 and 25 5 - 50 eliffe.rem t
d 25 X 4 - 8 and 8 - 25 x 4 same
e 25 X 4 5 and 5 25 x 4 eliffe.rem t

11 •
II • II• •
• • • • • • • •
• • • • • • • • • • • • • •
• • • • • • • • • • • • • • •
• • • • • • • • • • • • • • • •
• • • • •
• • • • •
• • • • • • B • • • • • • • • • • • •
• • • • • • • • • • •
• • • • • • •• • • • • •
• • • • • • • • • • •
• • • • • • • • • • • •
• • • • • • • • • • • •
••••••••••••••
••••••••••••
•• ••••
•
••••
•••••
••••••••••
Finish the shapes
These shapes are only half-drawn . Own. work.
Use the spots to complete the shapes . O· • • • • •
Write what shape you have drawn on • • • • •
the line under each shape .
• • • • •
• • • • •
• •

Penta.goY,Square
•
Sq.u.a.re (a.ccept rhombus a.s well)
D
II
II
D
o
Write the name of each polygon .
Draw at least one line of symmetry on each .
Symmetry in polygons

o
o
II
D
II
o
•
mirror.
You can check with a mirror . If your line of symmetry is
correct, you will see the other half of the shape in the
On these shapes, draw any lines of symmetry in different
colours.
More symmetry

;-
~ -
-~ --
-, -"""Y-
~I V
l(:-1-- -I- --
'" ~I--
t
I
: I I
I 1- ~I
+~
1- - +- t- + ~
• • • •
I--- ~ ~
• • • +- + .,_
I
, ,
+- 1- + + +- +-
I
[ t
I--
+ r t i I
t+
!
Draw your own symmetrical patterns using these lines of
symmetry. Own. work.
~ ff-
T T r--
l-tt-t r t I ! I
f'- ',+ n +- - -,
+
,
t-
-0 T
t rI I I I f
c--
I ~
0-'----'
,- ._
I.- -
--
-- I-- -
I"- - -
I"- -- -
l"-I'
liT-
.U....
~ ~ ~ ~ -,
t~ ~
~
: +-
I , '
+
t ~ ~ +- +- ~
1 t r
;_j_
T
~ •
Complete each pattern so it is symmetrical about both lines
of symmetry. Own. work.
Symmetry patterns

EJ Design a logo for your class . Decide what order of
rotational symmetry it should have . Draw it here.
Own. work
3 2
dc
7
Many common shapes and patterns have rotational
symmetry.
o What order of symmetry do these have?
a b
Spinning logos

lines 2-==--------
order 2-=-------
Thailand
lines 2--==-------
order 2-=-------
Batswana
lines 2-==--------
order 2-=------
England
lines 4-___:------
order 4-_:_------
Switzerland
lines __:_------
order~ __
Canada
lines 2-=------
order 2-=------
France
D
lines 0---'------
order 2-=------
Trinidad and Tobago
II
lines 2--=------
order 2-=------
India
II
lines 0--=:.__-----
order I-=-------
Australia
Do
For each flag below, write the number of lines
of symmetry and order of rotational symmetry .
The flag of Jamaica has two lines of symmetry.
If it was lifted and rotated about its centre
point, it would fit into its own outline in
two different positions. So it has rotational
symmetry of order 2.
National flags

Second. one is fue odd. one out as it is fue only one fua tis acu te angled.
Tlurd one is od.d.one outas it is th.e only one th.a t is not isosceles
Second triangle is odd. one out as it is fue only one fua tis e.a._u.ilateral
Th.ird. triangle is odd one outas it is obtu.se-angled. (not righ.t-anglecl)
o Write a sentence saying why the coloured one does not
fit with the others in the set . Some possibleanswers are:
o Colour the odd triangle out in each set . You may need
to measure the sides and angles to help you decide
which one is the odd one out. 0 ..L
wn won.
Classifying triangles

• •
five to eleven at night
I •
•,
• •
twenty-five to five in the afternoon
quarter to one in the afternoon
quarter past four in the afternoon
half past ten at night
seveno'clock in the morning
· ..
quarter to eight at night
• •
three 0/ clock in the afternoon
lr .1-11-1
1:1 • 1_11_1
· ..
half past eight in the morning
1-11-1 • -11-1
1_11:1 • :11_1
In words
The first three have been done for you .
Complete the chart to g ive the times in words, as a .m.
and p.m., and in 24-hour notation. Remember that
24-hour time always uses four digits.
Showing time on different clocks

1
. ..-
Ju.do 10:00 - 11:30 OR Archery 10:00 - 11:30
T a.rget sh,ootin,g 08:4-5 - 0C!:4-5
Su.rfin,g 06:35 - 08:35
Th,ree activi ties rnaximurn:
D Write down how many of the five on your list you would be
able to do in one day. Explain how you worked out your answer.
Pa.in,tin,g 0C!:30 - 12:00
T a.f'get sh,ootin,g 08:4-5 - 0C!:4-5
RLdin,g08:30 - 10:00
Archery 10:00 - 11:30Su.rfin,g 06:35 - 08:35
.ludo 10:00 - 11:30HLkin.g06:00 - OC!:OO
o Choose five different activities from the list. Write the
start and finish time for each one. Use 24-hour time.
Start time Activity Length of time in hours
6.00 a.m. Hiking 3
6.35 a.m. Surfing 2
8.30 a.m. Riding 1~
8.45 a.m. Target shooting 1
9.30 a.m. Painting 2~
10 a.m. Judo 1~
10 a.m. Archery 1~
12 noon Lunch 1
On a holiday camp, there is a very full programme of
activities to choose from. These are the activities on offer
in the morning:
Holiday activities

D How many days in?
a 1 week 6 days 13
b 3 weeks 21
c this year plus next year 730 (731 if one of th.e yearsis a.lea.p year)
d the first six months of the year 181(cou.nt th.e actucl d.a.ysper month.)
e the last six months of the year 18Lr
b 8 weeks = 56 days
d There are 52 weeks in a year
f 91 days = .!lweeks
h 16 weeks is about 4- months
j 1 year = g_ months
I 20 years =24-0 months
n 84 months = ]_ years
o Complete.
a There are l_ days in 1 week.
c 35 weeks =~5 days
e 84 days = R weeks
9 175 days = 25 weeks
i 8 months is about 32 weeks
k 5 years = 60 months
m 36 months = j_ years
o 66 months = 5t years
month.
week
h.ou.r
minu.te
second.
H 0 U R Q y L
S E L W E E K
B P F X 0 A y
A J Y H C R N
M I N U T E G
M 0 N T H R W
T S E C 0 N 0
a Find the units of time.
b Write them in order from the shortest to the longest.
o There are seven units of time hidden in this word
search.
Units of time

Shaded 0.99
Unshaded 0.01
Shaded 0.09
Unshaded O.CjI
Shaded 0.9
Unshaded 0.1..=..:.:..-
Shaded 0.07
Unshaded 0.Cj3
Shaded 0.72
Unshaded 0.28
Shaded 0.27
Unshaded 0.73
Shaded 0.55
Unshaded 0.4-5
Shaded 0.05
Unshaded 0.Cj5
Shaded 0.5
Unshaded 0.5
Shaded 0.9
Unshaded 0.1--=.:.:._
Shaded 0.43
Unshaded 0.57
Shaded 0.4
Unshaded 0.6
Shade each shape to show the decimal fraction.
Write a decimal to show what fraction of the shape is unshaded.
Va.riOu.s sha.ctin.a 0'tion.s are possible. Allow th.e stud.en ts to check each. oth.er-'s work.1- ,
Making decimals

c 2.5 8J 2.9
f 0.33 ~ 0.3e 0.09 ~ 0.1d 0.7 ~ 0.69
IIFill in < or > between each pair of decimals. Use your
number lines to help you decide.
a 0.3 8J 1 b 0.05 8J 0.5
o O.B 0.5 1.1 0.2 0.7 0.1
II0.1 1.0 1.5 2.3 4.4 5.B
o 0.55 0.09 0.03 0.33 0.75 0.99
II21.35 21.39 21.51 21.64 21.69 21.72
21.721.621.521.421.3
21.6<1 21.72
, ,• I ,- "
21.35 21.3<1 21.51 21.64-
-, , , I' , ,,+, ,'-II' , ,I , , , , 1-' , ,I , , , , I' ,'-I'
0.03 0.0<1 0.33 0.55 0.75 0.<1<1
111_11111-11111111111111111111111_111111111111111111111+1111111111111111111+11111111111111111111111-1 )
o 0.1 0.2 0 .3 0.4 0 .5 0 .6 0.7 0 .8 0 .9 1
0.1 1.0 1.5 2.3 4-.4- 5.8
'1_11111111+1111+1111111_11111111111111111111_1111111111111_11"
o 1 2 3 456
o
0.1 0.2
I '
1.1
----
0.7 0.80.5
--
Mark and label each set of decimals on the given
number lines.
Locating decimals on a number line

Metres Millimetres
1 1000
8 8000
15 15000
27 27000
112 112000
Centimetres Millimetres
1 10
7 70
15 150
67 670
189 18etO
Metres Centimetres
1 100
9 etOO
28 2800
98 et800
150 15000
Kilometres Metres
1 1000
5 5000
7.5 7500
12 12000
135 135000
Complete the tables by filling in the equivalent
measurements.
Units of length

Item In millimetres In centimetres
the length of my thumbnail Own.wort.
~
span of my left hand -
length of my shoe
length of a pair of scissors
length of a pencil
width of this book
height of a coffee mug
length of a stapler
width across a pair of spectacles
length of a belt
Measure each item and write the measurement in two
diHerent ways.
Measure in different units

100g
3S0g
400 grams
It-Ocm
o o1kg
I009~
7509
/ ikg
7S0g
200
40em2Sem
o200ml120ml
120 ml
SOem25cm50ml
SOml
o
1
1.4 litres
---.--21
111
D Draw arrows on each scale to show the
given measurements.
4S0ml~ litre
o
--+-400
TSOOml-,-1 l
a b 1 I
1 ~
0 159 809 100g
500ml
I e
e f 9
or 2l
1 11 250ml d
I
0 lkm 2 2.5km 3.5km 4km
or I;. l
0
0 Draw more liquid in each jug to show the
given measurements.
o The arrows represent measurements on each scale .
Estimate what each measurement is. Possible. estima te.s are:
Measuring scales

_5°( _5 °(
I j, I I j, I
-10 0 10 20 30 40 °C -1 0 0
40353030
Oml
10o 40 50ml3020
~ It-5ml
It-5ml
I j, I
100ml
4kgo
3kg2
2.lt-kg
j,
2
5m3 44m 23
3.lt-m
j,
3.lt-m
I t I
1.2l 1.2l
Ij, I I I 1--1- --II--t.%.....__---II
1 2 3 4 5 l 0 1 2l
I
o
o 400 600g200500go
It-50g
It
45ml
2.4kg
3.4m
1.21
450g
Draw arrows to show where the given amount would show
on each scale
Comparing scales

Explain how you answered these questions .
Would he count 198?
Would he count 387?
Stu.d..en.t'5 to discuss th..eproblems in. grou.psWould he count 182?
Pete counts in fives from 132 to 500 . Try to answer these
questions without actually counting.
-30-15o1530lr5I Count back 160
In 15s
Count on 205
220 235 250 265 2802ct5
in 15s
Counting in steps
Count on or back in the given steps to complete each set of
numbers.
When you have finished, use a calculator to check your
answers.
I Count on
156
68 80 ct2 104- 116in 12s
I ~ount back 136 2lr 12 0 -12 -2lr -36In 12s
I Count on
120
31 lr2 53 6lr 75in 11s
I Count back 188 77 66 55 lrlr 33In 11s
I Count back 186 75 6lr 53 lr2 31
In 11s

8999
-7000+ 1-8 -40 -800
rn1034
-500-3 -4 -50 -30
Mfn
1034 - 587 = 0 lrlr7 9000 - 7848 = 01152
708 746
-300-3 -6 -40
nnf
746 - 349 = 03C17
92
+2
~
+80+10
n
184 - 92 = 0Cl2
7122
+ 100 +20 +4
((~
+ 1000
1124 + 7122 = o82lr6
1245
+60 + 10 +6
(((
+800
876 + 1245 = 02121
612
142 + 612 = 0 75lr
+ 100
-500-10 -8
{~
708 - 518 = OIClO
77
-3+20
94-77 = 067
3109
+90 + 1+7
(((
3109 + 1098 = 0 lr207
+1000
762
+40 +40 +8+ 1
(((~
+ 100
762 + 189 = 0Cl51
318
+40 +2+5
(
+ 100+100
247 + 318 = 0565
Write the answers to each calculation.
Fill in the missing numbers on each number line.
Adding and subtracting by counting in groups

s
1
o A(l, 10),8(4,7), C(l, 7) tria.n.gle
0 0(12,10), E(14, 10), F(14, 3) G(12, 3) rec ta.n.gle
0 H(8, 10), 1(11, 7), J(8, 4), K(5, 7) square~
IIL(2, 1), M(6, 1), N(6, 3) 0(4, 5), P(2, 3) pentagon.
0 Q(9, 3), R(9, 0), 5(13, 0) triangle
Write the name of each shape.
Draw lines to join them up (in order).
Plot and label each set of points.
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15x
R
1 5
2
4-
l
p3
4
8
7 C K -1- -
B 2
6
I
0
5
I
9
y
10 A D--t----e-E
Position on a grid

see Student Book pages 49 and 50
Test 1 Test 2 Test 3
4 X 5 = 20 2 X 10 = 20 2 X 10 =20
3 X 8 = 24- 1 X 8 = 8 9 X 9 = 81
9 X 2 = 18 4x4 = 16 9 X 8 =72
1x9=Cl 3 X 6 = 18 10 X 9 = ClO
4 X 6 = 24- 7 X 10 = 70 4 X 3 =12
3 X 7 = 21 3 X 9 = 27 5 X 9 =4-5
2x7=14- 8 x9 = 72 8 X 6 =4-8
5 X 5 = 25 5 X 3 = 15 5 X 8 =4-0
2x8=16 9 X 4 = 36 9 X 3 =27
9 X 3 =27 7 X 5 = 35 6 X 7 =4-2
6 X 5 = 30 10 X 9 = ClO 5 X 4 =20
10 X 7 =70 8 x8 = 64- 1x9=Cl
7 X 6 = 4-2 7 X 7 = 4-Cl 8 X 4 = 32
3 X 9 = 27 9 X 9 = 81 6 X 9 = 54-
5 X 8 = 4-0 6 X 8 = 4-8 6 X 7 =4-2
4x9=36 10 X 6 = 60 7 X 8 =56
6x6=36 7 X 9 = 63 4 X 9 =36
5 X 10 =50 9 X 6 = 54- 6 X 5 = 30
6 X 9 = 54- 8 X 5 = 4-0 6 X 10 =60
2x3=6 9 X 7 = 63 4 X 9 =36
Time: Time: Time:
Time how long it takes you to complete each test.
Write the answers only.
Use these tests to check how well you know your multiplication facts.
Multiplication facts

Test 1 Test 2 Test 3
1672=8 21 73=7 1274 = 3
3073 =10 36 7 4 = CJ 32 7 8 = lr
247 8 = 3 907 9 = 10 2779 = 3
27 73 = CJ 2474 = 6 807 8 = 10
45 7 5 = CJ 81 79=CJ 64 7 8 = 8
81 7 9 = CJ 2575 = 5 4878 = 6
25 7 5 = 5 15 7 3 = 5 4575 = CJ
2474=6 64 7 8 = 8 5678 = 7
48 7 6 = 8 18 7 6 = 3 1272=6
507 5 = 10 4276 = 7 28 72 = Ilr
7279=8 63 7 7 = CJ 727 8 = CJ
4878=6 2074 = 5 357 5 = 7
307 6 = 5 4977 = 7 871 =8
35 7 7 = 5 7279 = 8 3676 =6
6478 = 8 5075 = 10 1472 = 7
6379 = 7 5479 = 6 1879=2
547 6 = 8 16 7 2 = 8 48 7 6 = 8
247 8 = 3 28 7 7 = lr 36 7 9 = lr
90 7 10 = CJ 36 7 6 = 6 48 7 6 = 8
21 73=7 35 7 7 = 5 5479 = 6
Time: Time: Time:
Time how long it tokes you to complete each test.
Write the answers only.
Use these tests to check how well you know your division facts.
Division facts

Factor 1 3 4 5 6 7 8 8
Factor 8 q 8 q 7 7 8 q
Product 8 27 32 45 42 49 64 72
Product 12 18 36 48 30 100 90 81
Factor 1 9 6 6 5 10 9 9
Factor 12 2 6 86 10 10q
D Complete these tables.
~
1 60
2 30
3 20
Lr 15
5 12
6 10
~
1 Lr2
2 21
3 14-
6 7
~
1 36
2 18
3 12
t, q
6 6
3
ILr22
7
28
6
~
1 56
2 28
i, 14-
7 8
18
o Find the factor pairs for each number. Write them in
the towers.
Factors

Explain how you decided.
IIAre all numbers that are divisible by 100also divisible by:
a 2 ~e.s b 5 ~e.s c 10 ~e.s
30 @ 350 99 3080 9
120 @ 1250 1020 C12 000C2 500 ) 12050
@@ 480 840 ®®C4880~C8440o)
D Circle all the numbers that are divisible by 100.
43 G® 66 ® 75 ®@9
€D<E> 142 188 185 ®@@e
® 19 @)@)@)@)®@ 672
®®@ 923 @@GOOO)@ 1099
Colour in the circles if the number is also divisible by 10.
o Circle all the numbers that are divisible by 5.
Divisible by 2 Not divisible by 2
28,16,58,124-,14-8,1120, 17, Ig, 113,2g, 4-5, 109,
gOO, 2356, 650, IIgO, Igl, 4-50g, 5201
4-512
148 1120 900 2356 650 191 1190 4512 4509 5201
12410958452911316192817
o Write the numbers in the box into the correct columns
in the table.
Divisibility rules

Stu.d.en.t'5 own. discussion
D Discuss these questions, with a partner.
a Do all three graphs show the same information?
b What makes the graphs look different?
c Which graph do you think gives the most accurate picture of the data? Why?
Store
0 I
~
I ~
19> ~.$lVlC/)
;:I c '" ~ .~....
J I ~ ,~
1J(lJ I
E~ CLu..
~
~
g
a.0 ~ ~ if)
u, U '"
Ii: JStore
~
~ 4 1---
Q)
~ 2~=
21---
1
6Q) 3u
'S::::
a..
2Graph B
4
5
Graph A
4
5
~ 3
.s::::
a..
6,--
6
Graph C
o Use the data in the table to complete these bar graphs
comparing the prices of the different items .
Store Farmers-R- Fancy Cheop-n- Fresh Speciality
us Fruit s Fresh Th ings Fruits
Price per 2.50 4.00 1.00 2.00 6.00
kilogram ($)
This table gives the prices per kilogram of bananas at five different stores
Different scales

own. gr-a..ph.
KeyAbseiling
Canoeing
Wind-surfing
Pony-trekking
Parachuting
Archery
Orienteering
Climbing
Dinghy sailing
Water-skiing
Use this grid to draw the pictogram for your class.
Activity Tally Activity Tally
Abseiling IIII Archery ~I
Canoeing ~ II Orienteering ~I
Wind-surfing ~I Climbing III
Pony-trekking ~ IIII Dinghy sailing ~ II
Parachuting III I Water-skiing ~ III
Use this table to record your data.
x =2 studen ts
KeyAbseiling
**Canoeing
***1Wind-surfing
***Pony-trekking
****~Parachuting
**Archery
***Orienteering
***Climbing
*~Dinghy sailing
***~Water-skiing
****
Use this grid to complete question 1.
Show choices on a pictogram

20
-20
10
I
o
I
-5
I
c -15,10, -5, 0, -10
-15 -10
I I
o
-I I
I I I
-3
I
b -1, -3, -5, -9, 1
-C! -5
I I
5-5
lr
I
1
I
o
I
-2
I
-3
I
a 0, -2, 1,4, -3
D Estimate and show where you think each number
would go on the given number lines. Studen t'5 own.estima tes
a b c d e f 9
-16~ -12~ -C! + .t,+ I~ 5+ 8t
I I I I I I I I I I I I I I I I I I I I I I I I I I I
-20 -10 0 10
a Ib c d e f
-35+ -271+ -15 + -5 ~ 7~ ~ 15+
I I I I I I I I I I I I I I I I I I
-40 -30 -20 -10 0 10 20
EJ Write the number shown by each arrow on the number lines.
2821I~7o-7-14-
82-10-16-22-28
15105o-5-10-15
~ ~ ~ ~ 0 2 ~ 6 8 ~ Q ~ ~
+5 +5 +5 +5 +5 +5
~~~~~~
+2 +2 +2 +2 +2 + 2 +2 +2 +2 +2 +2 + 2
~~~~~~~~~~~~
o Fill in the missing numbers on each number line.
Positive and negative numbers

9°C colder -iloe
Another 3°C colder -Ilr °e
A drop of - 6°C -IGoe
A rise of 8°C lr"C
A rise of 15°C 36°e
A decrease of 18°C 3°e
5 degrees warmer 2lr °e
22 degrees colder - 3°e
9 degrees colder 3°e
Another 3 degrees colder
Goe
4 degrees warmer IGloe
12 degrees colder 3°e
°()
)
I I I
W N ~ - N W ~
0000000 0
elllllllllllllllllllllllllllllllllill
o
()
)
~ ~ ~ - N W ~
o 0 0 0 0 000
ellllllllllllljlllllllllllllllllllill
o
()
)
I I
W N ~ - N W ~
o 0 0 0 0 0 0 0
e
llllllllllllllllllllllllllllllllllll
- I
o
()
)
~ ~ ~ - N W ~
000 0 000 0
e
ll III 11111 11111 11111 11111 11111 11111 I
- I
n
)
I ~, I
w ,~~ - N W ~
o 0 0 0 0 000
ellllllllllllllllllllljlllllllllllill
o
()
)
I I I
W N ~ ~ N W ~
o 0 0 0 0 0 0 0
e
llllllllllllllllllllllllllllllllllll
- I
Write what the temperature would be if it changed as given.
Colour the thermometers to show the given temperatures.
Temperature changes

• Iii
110
Look at these pictures. Tick the ones that have parallel lines .
Looking at parallel lines

41
Dlscusson
IIWhat can you say about the two angles formed by
a pair of perpendicular lines?
b one pair of perpendicular lines.
lEI Draw your own sets of lines:
a one pair of diagonal parallel lines
Own. work
Th.e.yadd u.p to 1800
D What do you notice about the angles formed by a
line intersecting parallel lines?
D Write the size of the angles formed between the
diagonal bar and the other bars .
220 and 1580
o On this five-barred
gate, colour in:
a one pair of horizontal
parallel bars green
b one pair of vertical
parallel bars red
c the diagonal blue.
Parallel and perpendicular lines in real life

0 Write whether each numbered angle in this drawing
is acute, obtuse, or a right angle.
a obtuse b acu teo
e obtuse d acu teo
e acu teo f acu teo
9 obtuse h righ.t
• acu teo • obtuseI J
o On the bicycle:
a Findfive acute angles. Mark them blue.
b Findthree obtuse angles. Mark them green.
e Findfour right angles. Mark them red.
theseiri.o.n.cje.s
form acute M.gles
th~SpolMof
th~whuls form.
(lCUt.t o.n.cjM
Angles

600
A ]100
BB
A ...JF><_1_S......20.::....._ __ 2_8_0-- B
A ....L.....L B
Use the size of the given angles to calculate the size of the
unmarked angle in each diagram.
The line AS is a straight line in each diagram.
Angles on a straight line

a
3 _ 6
./ b l>~ < c ~< 1 -"5 - 10 2 4 8 4
d 5 > 3
./ e ~< 1 > f
3 _ 6
./10 8 8 2 "4 - 8"
7 6
./ h 1
_ 10
./ I
5 _ 3
9 10 < 8 - 10 8 - "4 <
IIWrite each set of fractions in order from smallest to greatest .
3 1 I I I 3
a <[ 4 2 t, "2 lr
b 1 9 4 3 3 I t, Cj
2 TO 5 TO 10 2 5 10
C
1 5 3 ~ 3 I 5 3
2 8 8" 4 8 2 8 lr
d 2 1 1 3 4 I 2 lr I 3
5 10 2 5 10 10 "5 to "2 "5
e 1 1 1 1 1 I I I I I
3" 2 5 10 8 10 8 "5 3' "2
IITick the statements that are true . Correct any
statements that are false.
®® 5
CD ~
CD 9
®6 6 10
'i'l CD 5 4 6 4 8 4
~5 10 "5 8" 6 10 8
D Circle the fractions that are less than ~.
5
10
®9
12
3
9
®
2
6
6
8"
b ~
C ~
4
4
8"
Circle the fraction that is not equivalent in each set .
CD1
a 2
II
C
3 - _Q_
<[ - []]
f I_II)
"3 - "'6
o Write the equivalent fractions:
Use the circles to help you answer the questions .
Equivalent fractions

5
I
a 10 '2
6 3
b 8 4-
4 2
C 6 '3
6 3
d 10 5
Use the chart to find the simplest equivalent fraction
for each of these:
D In a family of equivalent fractions, the simplest
fraction is the one with the lowest numerator and
denominator.
Thirds Quarters Fifths Sixths Eighths Tenths
2 3 4 5
- - - - - -
4 6 8 10
1 1.- - - - -3 6
2 4-- - - -
3 6
1 2
- - - - -
4 8
3 6
- - - - '8
-4
1 2
- - - - - k)5
- 2 4-
- - - -5 o
3 6
- - - - -5 o
3 4- 5 6 8 o
3 4-
-
'6 8' 105
o Complete this chart of equivalent fractions.
Remember: Equivalent fractions have the same value.
More equivalent fractions

987
8 J. 8':!_2 10
I I I
7~5
I I
4~4
ato
6?o
a~
654
5J. 563 8
I I I
Show each mixed number on the number line.
Improper fractions and mixed numbers

0 What fraction of the total set of shapes are:
3 1 1
triangles?
- . -
b small triangles?a 12 l,. 12
1. =
1 i, 1
large triangles? 6 d circles? - .-
C 12 12 3
2 1 2 1
large circles?
- .- f small circles?
- . 6e 12 6 12
7 3 1
not circles? i2 h squares?
- .9 12 l,.
1 8 3
•
large squares? 12 •
not squares?
- . l,.I J 12
2 1 5
k hexagons?
- . I shaded? i212 6
7 3 1
unshaded? i2 n four-sided?
- .m 12 l,.
5 1
0 squares and hexagons? 12 p unshaded hexagons? i2
o
o
Name the fraction

,
r f
- ,
IPossible rectQl1gles Qre.;
II
i • •
I I
•
• •
I
•
• ••
• -
• ••
I
• •
•
1,"I II I · '" 1.1I I I "'" I II I "'" I fI 1. 1I "i I "'" I I:
1··__-r··L··I···1 -
I i (Qstu,Qre ts Ql~o
.----------. Qr ctQnglel
..
+ f.
,
, ....
-+-
j I Possible recta.ngLes we: I
I
i • •
I II
•
• •
I •
• ••~
i
•
• •
• ••
1······ ........-o··········.. ··.. ··..·f······ • ••~ ..... 11······
I
I···j···j···········i···,
,....- -
-I-
1--------------4• •
I I (Qsit u,Qr~ is Ql~o• •
..-.-.~~-.-.-.-.-.-..Qrecta.nglel
I
,
l.. J
D A rectangle with perimeter 16 cm.
IIA rectangle with perimeter 20 cm.
Draw each of the following shapes.
o A square with perimeter 16 cm .
U A square with perimeter 20 cm .
Perimeter

o What is the area of a square if its perimeter is:
a 20 cm sides are 5 ern.so arec. is 25 an2 b 64 cm sides are 16ern.soaree. is 256 crn.2
a Calculate the length of the rectangle. 13an
b What is the area of this rectangle? C1lan2
not drown
accurately7cm
length
o The perimeter of this rectangle is 40 centimetres.
Eand ---
a Colour two shapes that have a perimeter of 12cm.
b Which two shapes have a perimeter of 14cm? A
c What is the area of Shape B? 7an2
d Which has the greater area: Shape A or Shape E? Th.e!1are equal in. arec,
... ____,
A B C
+
+
A ,
-
E
-
0
.e --
-1 1 1 I 1
o Here are some shapes on a 1cm grid .
More perimeter and area

Think!
1200
l...--_---' x 100 x 10
x 10 x 10
2300
120a L..-1_12-l
o Work out the missing operations.
c
Multiplying by 10 and 100
o Fill in the missing numbers.
a
rX10l 70
rX1l 700 rXl0-j 7000 rXl0-j 70000 I7
b
rX10l rX10l r 1°l180 000 I18 180 1800

51
20100 201
20100
201 20102010
20100
20100
Write the correct numbers in the blocks.
Fill in one of the operations: X 10, X 100, -:- 10 or -:-100
in each circle.
Complete this flow diagram.
Multiplying and dividing by 10 and 100

134-
P = 306
54
P = 153
108
6767
34-
P = 336
17
P = 168
P = 208
26
P = 10lt.
15
p = 1'1052
5226 5226
26
14 14
19
P =66
38
28 18 18
36 36
31
62
P = 132 P =113 P =226
52
60
30
19
o The matching sides of the shapes on the right are double the length of those on
the left. Write the missing lengths. Use a calculator to find the perimeter of all
the shapes.
Now:6Lr
Was $128
o
Was $2700
Now: 1350
Was $8300
Now: 4./50
Was..$B1:t'f
o
Now: 4-10
~
o Now: 05
Was~
Now:L,..8
o Super electronics is having a half-price sale. Write the
sale price of each item.
Doubling and halving

-1--
"'-I
•;~
I
; I:
t
~~
/ -,/ r-,
/
" C7
'
~
[7
l/ ~~
rV ~~
----.~-I
I
D
I
I
D
D
o
Remember: If there is space between the image and the
mirror line, you need to leave the same amount of space
between the reflection and the mirror line .
Image r eflection
~ l/
1' V
r-, V
Draw the reflection of each shape on the other side of
the dotted line (or mirror line). Notice the equal amounts
of space between the image and the mirror line , and the
reflection and the mirror line.
Reflections

IISlide this shape forwards
7 blocks and up 1 block.
IITranslate this shape down
5 blocks and forwards 4 blocks.
'- -------'-_,
/ ,'"/
"
D Slide this shape forwards
3 blocks.
D Translate this shape back
5 blocks.
-, ~
,
,i

I.
'
IISlide the square down
3 blocks.
o Translate the triangle forwards
4 blocks.
Draw each shape translated on the grid according to the instructions .
Translated shapes

0.77 + 0.23
0.13+ 0.87
0.17+ 0.83
0.4- + 0.6
0.5 + 0.5
II List all the numbers that are not crossed out . Next to
each one, write how much you would need to add to it
to make 1.
0.8 0.45 0.9 0.65 0.19 0.76 0.05
0.81 0.77 0.15 0.75 0.68 0.5 0.87
0.62 0.49 0.38 0.35 0.32 0.13 0.97
0.25 0.3 0.4 0.58 0.98 0.14 0.51
0.99 0.71 0.59 0.17 0.95 0.79 0.23
0.41 0.2 0.29 0.84 0.24 0.1 0.21
0.4 0.86 0.5 0.41 0.6 0.42 0.65
0.5 0.85 0.03 0.7 0.16 0.01 0.59
o Find pairs of decimals that add up to 1 .
As you find each pair, cross out the numbers. Own. work.
Pairs of decimals that make 1

$6.40$1.99
D Each of these items was bought with a $10 note. How
much change did each person get?
..---------- .........
...... _.,
....... ----------..
...... --"'-- _.,,... ......
...... _.,
1.28l
,., 8.071 ....... ,.,
---
,... .....
'<, _., ....._ _,., '<, ./
...--- --_ -....._ _.,
4.991
,----- ...------
_
'<, ./
10em
..------- ... _, -_
....._ ./
........ - .. .." -"'-- ..
~----------..,
....._ ./
2.451
.... ""---------- .._
4.91
o Each barrel can hold 10 litres of water. How much
more water can each one hold?
8.2em 9.1 em7.1 em
o How much taller does each plant need to grow to be
10 cm tall?
Making lOs

0.17 0.16 O.OCJ
0.06
0.14
0.22
O.ICJ 0.12 0.11
1.55 6.1 2.85
4-.8 3.5 2.2
4-.15 O.CJ 5.4-5
3.1 12.2 5.7
CJ.6
7.0 4.4
8.3 1.8
10.CJ
Grid FGrid EGrid 0
o Grid 0 shows another magic square.
a Findthe missing numbers.
b Halve each number and write the answersin Grid E .
c Usethe given number as a starting point to make a d ecimal magic square in Grid
F. Each number must have two decimal places.The total of each row, column and
diagonal must be 0.42.
17.1 16.4- 16.CJ
16.6 16.8 17
16.7 17.2 16.5
22.6
21.CJ 22.4-
22.1 22.3 22.5
22.2 22.7 22.0
226 219 224
221 223 225
222 227 220
Grid CGrid BGrid A
In a magic square the sum of each row, each column and
each diagonal is the same.
o Grid A is a magic square with whole numbers.
a Work out the missing number.
b Usethe numbers in the magic square to make a decimal magic square in grid B.
Eachdecimal should have one decimal place.
c Subtract 5.5 from each number in the decimal magi c square. Write the answersin
grid C. Is it still a magic square? ~es
Decimal puzzles

see Student Book page 10 1
Results Frequency
1- 2 0
3-4 4-
5-6 10
7-8 II
9 - 10 8
87666875654
9 10 10 9 9 7 6 3 8 9 10
35678888946
II Use the grouped frequency table to organise this set of
test results.
Shape Tally Frequency
Hearts .J-H1 .J-H1 IIII 14-
Stars .J-H1 .J-H1 .J-H1 III 18
Rectangles .J-H1 5
Moons .J-H1 .J-H1 .J-H1 IIII Ig
Circles .J-H1 .J-H1 I II
Total 67
o Complete the frequency table to show how many of
each shape there are in this set.
Frequency tables

8~-1---1----1----1---1~_+---~---1_--~_4--_+--~--+_--~~
12~-1---1----1----1---1~_+---1----1_--~_4--_+--~--+_--~~
161---.---1-_4---1----~--+_--11---*--~--4___4
201---1·--~--4_--1-_4--_+---1---+_--~~---~--4_--+-~~~
241---1·--~--4_--~_4--_+---1---+_--~_4--~--4_--+_~~~
281---+--~--4_--~_4--_+--~--+_--~_4--~--4_--+_~~~
Grid B
2~-I---I---I----~--~-J---~--~~---I---~-+--~--~~
4~-1---1---1----1---~-1·---~--~-~---1---~-+--~--~~
'"QJ
~ lO I---~---~---*----~---~-I·---~--I-~---I---~-+--~--~~....
o
E
o 81---1---11---1----1---1~-1----~~1---~---1---~
....
.8
§ 61---1----1---11---1----~--11---1---~--1~-1----~--1---+---~~
z
121---1---4---~-1---~~*---+--4---~-1---4_--~_+--4_~
141---4---4---~_+--~--~-+--4_--~-+--4_--~_+--4_~
Use these grids to draw the graphs for Student's
Book page 102.
Grid A
Bar line graphs

876
Time
5
20
~17 ~
......v
/
,.. ,
/
v

-
100
12
Time
32II10
21
22
26
27
./
V'
"/ lS
v
v
28
More line graphs
~ 80
0.
o
~ 60
'0
....
.E 40
E
::l
Z
Grid B
Cll
....
:l
15 24....
Cll
0.
E
~ 23
Grid A

61
then by 3 or vice versa.
Students own methods, but should u.n..der-sta.n..dth.a.t you. can divide by 10 and
1:1 Write an instruction for a quick way to divide any number by 30 .
b 480 +- 60 = 8
d 720 +- 90 = 8
a 140 +- 20 = 7
c 180 +- 30 = 6
o Now try these:
pla.ce values when you. divide by 10 or- 100.b 100
Discussion...Oieck th.a.t th.e studen tsrealise th.a.t th.e digits m.ove one or-twoa 10
D What happens to the digits of any number divided by
the following numbers?
My answer Calculator answer
600 +- 10 Own work.
60 +- 10
1900 +- 100
190 +- 10
4000 +- 100
400 +- 100
o Try to calculate these in your head . Check your
answers with a calculator.
Mental division strategies

§] · ~ ~ EJ · ~ 0. .. . . .
[2] ·
~
[2] 0 ·
0 [2]· ·
- -
[§J ·
~ ill ~
·
0 ill· - · -
5010 14416 24
5 210 63 9810
100
2 21
Use the numbers in the box to correctly complete each
division grid.
8 · 0 G. .. .
0 · 0 -
0
-
G · 0 '0
In this grid the number sentences can be read from left to
right and from top to bottom.
More division

BO pLecesof woocl
II Eight planks of wood were cut into 50 cm lengths .
How many pieces of wood did this make?
I.B75m
D A plank was cut into eight equal pieces. Five pieces
were sold. What length of wood was left over?
a 6 pieces, each 250 cm long 3 planks neeclecl, 0 pieces sc:ra.p
b 9 pieces, each 150 cm long 3 planks neeclecl, 3 pLecessc:ra.p, 0.5 m lon9
c 5 pieces, each 120 cm long 2 pLanks neeclecl, 2 pieces sc:ra.p, 0.2 m a.ncl 3.B m lon9
D How many planks would be needed to cut each of
the following sets of wood?
How many pieces of wood are left over as scrap
each time? How long are the pieces of scrap wood?
f
ou
o
-.s0.
.:.<
u
.e
Y.1
d 8 pieces? 62.5 em
c tenths? 50 em
b 2 halves? 250 em
a 4 quarters? 125 em
Planks 5 m long are delivered to the saw
mill. The workers cut the planks into
diHerent lengths.
o How long would each piece be in
centimetres if they cut a plank into :
The sawmill

$75 .;.5 - $15
$75 .;.10 - $7.50$75 + 3 - $25
II Suggest 3 other ways to divide $75 into
equal amounts.
$75 .;.6 - $12.50$75 .;.2- $37.50
D Two children are wrapping gifts.
a They cut 250 cm of ribbon into 10 pieces.
Each piece is 25 crn long.
b How many 20 cm long ribbons can
they cut from a length of 250cm? 12with a. 10em
pieceleft over-
II $75 is divided equally between 4 people.
Each person gets $18.75 .
D A light aircraft flies 457 km using
8 barrels of fuel.
It travels 57.125 krn kilometres
for each barrel.
o A carpet layer has a huge roll of stair carpet
250 m long. He cuts it into 9 m lengths.
He gets 27 pieces. with. 7 rn left over-
Solve these problems. Decide whether it is more sensible
to write the remainder as a fraction or leave it as a whole
remainder.
What will you do with the remainder?

/ -,
/ <,
-, /
/ -,
-, /
/
'"
-, /
Use it to make a cube.
Trace and cut out this net.
Shapes and nets

a ducks to geese? _IB_t_o_5 _
b ducks to swans? IB to 6 - 3 to I
D If 12 ducks flew away, what would the new ratio be
of:
____ 6 swans____ 5 geese
ducks to swans 5 to 1
II If there were 30 ducks, how many geese and swans
were there?
ducks to geese 6 to 1
In a survey of water birds, these were the ratios:
d sparrows to each of the other birds 24- to 2 - 6 to I;24- to 6 - 4- to I;24- to 12- 2 to I;
24- to 2- 12to I·24- to I
a starlings to pigeons 12to 4-- 3 to I
b wild geese to starlings 2 to 12- Ito 6
c ducks to starlings 6 to 12- Ito 2
o Write down the ratio of:
2 wild geese
24 sparrows
12 starlings
6 ducks
4 pigeons
1 owl.
In an hour a birdwatcher
saw these birds:
Birdwatching

~ blue5
16green
I~ red
~yellow3 red
4
iblue
t6 yellow
~ blue
1 red4
~ green
~ green1red
4
~ yellow
1red4± yellow
~ blue
~ green1 red2
± blue
~ blue
~ yellow
1red4
~ green
~ blue
~ green
1red4
~ yellow
~ blue~ yellow
Colour each pattern in the given proportions Own wort.
Colour the correct proportions

What is the ratio of:
a conditioner bottles to shampoo bottles? 12
b body lotion bottles to bath foam bottles? 1:3
EJ A supermarket sells both products in special packs:
2 bottles of shampoo with 1 free bottle of conditioner .
3 bottles of bath foam with 1 free bottle of lotion.
Own. work.
o List 14 ratios to compare these children.
For example, boys to girls is 6 to 8 .

o A class wants to bake 10 cakes. How much of each
ingredient will they need?
1000 g margarine (I kg)
1500 g sugar (1.5kg)
10QQ g self-raising flour (Ikg)
120_Qg dark chocolate (1.2kg)
lli eggs
o If a class has 12 eggs and as much of the other
ingredients as they need, how many cakes can they
bake? 6-=--------
D What mass of sugar will a class need to make 8 cakes? 1200 9or- 1.2kg
II One class sells one cake for $8.75. How much money
will they make if they sell:
a 10 cakes $87.50-l-::..:....:=-= _
b 8 cakes $70.00--'-;.....::..;..::._:;__----
e 25 cakes $218.75....!..:=-..:...;--=------
d 100 cakes? $875.00.....:....;:..__:__:_-=-------
o Sanjay's class sold their cakes for $8 each. If they
raised $232.00, how many cakes did they sell?
Ingredients:
1OOg margarine
150g sugar
100 g self-raising flour
120 g dark chocolate
2 eggs
This is the recipe for making one cake.
The students at a school want to make chocolate cakes to
sell at the school fete.
Recipes and proportions

o
0,' 0 00
o 0 0,'000
O 0' 0 0
0(0 '
o 0' 0'o "
000
o
oo
o
0 0
0 0 00
0 0
0
0
o
o
o00
o
o
o
o
o
o 0
o
o
o
o
Other ------
Purple _
Yellow _
oo
o
o
00
o
o
o
o
o
o
00
o
o
o
o
Red Orange
Green Blue
Grey Black
0 0
0
0 0
0 0 0 0
Shade the bubbles different colours. Then write the
percentage of bubbles in each colour. Own. wort.
Bubble percentages

1
b 50% of $5 is $2.50
c 1% of $10 is 10 cents
a 100% of $5 is _....:t$=5~ _
II Work out these amounts.
b A quarter is the same as 25 %.
d Three-fifths is the same as 60 %.%.
o Complete the sentences.
a Half is the same as 50 %.
c One-tenth is the same as 10
o Shade the correct percentage of each shape.
(Hint: Convert the percentage to a fraction and simplify it!)
a 25% b 40% c 75%
o Shade the correct percentage of each lOx 10 square.
a 15% b 20% c 1%
Problems involving percentages

Studen ts own work
Allow #tern to check.each other's placemen t ancl to discuss an~ diso-epandes.
100%o
7
10
99
100
45
100
3
TO
1
TO
1
:2
D Show where each of these fractions would fit on the
0-100% line
Fraction Decimal Percentage
1
0.5 50%:2
1
0.1 20%10
4
0.Lt. 40%10
7 0.7 701010
2 I
0.02 2%100 - 50
17
0.17 17%100
17... 0.27 27%100
88 22
0.88 88"/000 - 25
q
0.9 ClOlo0
l,.5 q
0.45 Lt.5"/000 - 20
6 3
0.6 60%10 - 5
For example, i= 0.5 = 50%.
o Complete the chart.
A number can be written a s a fraction, decimal or
percentage.
Percentages, decimals and fractions

Complete these equivalent fraction wheels . Own. work.
Da c
This is a fraction wheel for t. It shows equivalent
fractions and decimals. There are other fraction s which
could go on this wheel , for example, ~~,1~ or 15000.
0.5
2
4
5 1 3
10 2 6
4
8
0.5
For example, i= 1 + 4 = 0.25
Remember: To convert a fraction to a decimal, you divide
the numerator by the denominator .
Equivalent fraction wheels

Own. work.
a
c: ~~B. 65
. 100
a Write down the highest and lowest value in each set.
Set A 0 and 2
Set B 25"/0and 16
Set C Igo a.n.ci 0.66
b Calculate the difference between the two values. A· 1.. 4-
c Show the differences on this number line.
II
D Write down two numbers from each set above that
have a sum of 1.
Set A: 10.251+ 1C 1= 1 Set B: 175/01 + 125"/01= 1 Set C: 10.lrl + 160/01 = 1
IgO' os. ~,6010, 0.660.41
2
_Q_
1000.66c 60%
~ 25/0, ~, t,75/0, 0.8, 1625%1
20.875%
50% 0, ~ ,0.25,5010,0.7, ~0.7o
01
2
10
3
4"a 0.25
o Arrange each set of fractions in order from smallest to
greatest.
1
"2
Tenths
1 2 3 ~ 5 6 7 8 q 10
10 iO iO iO 10 10 iJ iO 10 iO
Decimals 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I
Percentages 10"/0 20"/0 30% lrOlo 5010 6010 70% 8010 CJOlo 100%
o Complete this table.
Ordering equivalent fractions

I will eat
fruit today
this week
Impossible
Unlikely
Even chance
Likely
Certain
Draw lines to match the events to the correct place
on the scale. Answers will va.ry
Likely and unlikely events

c 925 washers at 9c each. d 8 extension cables at $8.99 each.
$71.g2$83.25
$55g3$1026
o Mr Musa's electric shop orders some electronic
equipment. Work out the total cost of each order .
a 9 TV sets at $114 each. b 7 camcorders at $799 each.
f 199 X 9 = 17g1e 497 X 4 = Ig88d 469 X 6 = 2814-
c 155 X 9 = 13g5b 332 x 7 = 2324-a 4 X 239 = g56
o Here are some multiplications. Try and solve them
without a calculator. Choose your own method.
Choose your method

62m
91 m78m
7Sm
17m
94m
27m
43m3526 m2
19m
82m
Remember Area = length X breadth
Work out the area of each field. Do your working inside the
fields.
Find the area

x 2 3 4 5 67 8 9
1.1 2.2 3.3 4-.4- 5.5 6.6 7.7 8.8 Cl.Cl
1.8 3.6 5.4- 7.2 Cl 10.8 12.6 14-.4- 16.2
1.7 3.4- 5.1 6.8 8.5 10.2 II.Cl 13.6 15.3
2.3 4-.6 6.Cl Cl.2 11.513.8 16.1 18.4- 20.7
2.5 5 7.5 10 12.5 15 17.5 20 22.5
2.9 5.8 8.7 11.6 14-.5 17.4- 20.3 23.2 26.1
3.0 6 Cl 12 1518 21 24- 27
3.1 6.2 Cl.3 12.4- 15.5 18.6 21.7 24-.8 27.Cl
3.3 6.Cl Cl.Cl 13.2 16.5 ICl.8 23.1 26.4- 2Cl.7
3.7 7.4- ILl 14-.8 18.5 22.2 25.Cl 2Cl.6 33.3
4.5 Cl 13.5 18 22.5 27 31.5 36 4-0.5
4.8 Cl.6 14-.4- ICl.2 24- 28.8 33.6 38.4- 4-3.2
5.9 11.8 17.7 23.6 2Cl.5 35.4- 4-1.3 4-7.2 53.1
7.2 14-.4- 21.6 28.8 36 4-3.2 50.4- 57.6 64-.8
9.6 ICl.2 28.8 38.4- 4-8 57.6 67.2 76.8 86.4-
9.9 ICl.8 2Cl.7 3Cl.6 4-Cl.5 5Cl.4- 6Cl.3 7Cl.2 8Cl.1
Complete this multiplication table.
Multiplying decimals

67.5 kg
5 of each item
36.4- kg
2 coils of rope + 3 blocks + 5 planks
7 coils of rope
4-4-.8 kg
coil of rope 6.4 kg
3 bog of nails 3.3 kg
bog of nails 1.1 kg
2 of each item 27 kg
2 blocks + 3 bogs of nails
9 planks 25.2kg5 blocks 16kg
Work out the mass of each pile.
The mass of each item is given.
plank 2.8kgblock 3.2kg
Work out the mass

3 of 32 + 3 of 28 - Lr5t.. t..
o Complete these problems. You will first need to write
the number sentence, then find the answer .
a Jenny organises a cherry-picking expedition and picnic .
The following people confirm they will join her: Mary
and her two sisters,James and his four cousins, Leah
and her brother and mother. Jenny needsto take one
picnic basket for every two people. How many picnic
baskets must she take? (I + I + 2 + I + Lr + I + 2) 72 - 6 baskets
b Three friends go out for a meal. They add up the items
on the bill and then split the total evenly between
them. The items on the bill are as follows: two starters
at $6.45 each, three main dishes which cost $8.99,
$7.35 and $10.50, and one dessert which costs $9.00.
How much must each person pay? (2 x $6.Lr5 + $8.CICI+ $7.35 + $10.50 + $CI.OO)
c ClassA has 32 students and Class B has 28 students. 7 3 - $16.25
3
4 of the students from each class go on the school
outing. How many students go altogether?
Brackets
Of
Division
Multiplication
Addition
Subtraction
Remember BODMAS,
to give you the correct
order of operations:
I 3
2" of 50 + 4" of 100 100
j 4 X 4 + 4 X 4 + 5 X 5 57
k
o Complete these mixed operations.
a ~of (200 - 50) 50
b (100 + 44) -:- 12 12
c (10+4x4)+(17+3x8) 201
d 18 -:-3 + 8 x 2 + 25 -:-5 27
e ~of 18 + 19 + 20 + 21 6C1
I I 3f 2" of 22 - 2" of 16
g (!of 66) + 55 -:- 11 5Lr.5
h 43 + 19 + 15 + 200 -:-2 X 5 577
i lOx (16 - 6) 100 I 7 x 30 + 2 x 40 2C10
m ~of 16 + ~of 16 16
n (10 + 10 + 10 + 10 + 10 + 10) -:-5
12
Mixed calculations

Rabotna tetratka 5 odd

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