Numeracy Core Skills Unit 3: Numerical Skills

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Core Skills
Numeracy
Unit 3: Numerical Skills
Outcome 4
[ACCESS 3]
Notation – whole numbers
Fractions, percentages and decimals
Addition and subtraction
Multiplication and division
Using formula
Solving problems
Preparing for assessment
Sample assessment (Outcome 4)
Sample assessment (Outcomes 1 to 4)
Answers
1
8
26
36
46
49
53
60
64
73
NOTATION – WHOLE NUMBERS
© Learning and Teaching Scotland 2004
This publication may be reproduced in whole or in part for educational purposes by educational
establishments in Scotland provided that no profit accrues at any stage.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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NOTATION – WHOLE NUMBERS
NOTATION – WHOLE NUMBERS
Notation vocabulary
0
zero , nothing,nought, nil
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
one
two
three
four
five
six
seven
eight
nine
ten
eleven
twelve
thirteen
fourteen
fifteen
sixteen
seventeen
eighteen
nineteen
Hundreds
10
20
30
40
50
60
70
80
90
100
200
300
400
500
600
700
800
900
Tens
ten
twenty
thirty
forty
fifty
sixty
seventy
eighty
ninety
one hundred
two hundred
three hundred
four hundred
five hundred
six hundred
seven hundred
eight hundred
nine hundred
Units
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NOTATION – WHOLE NUMBERS
4.1P
Write down the number shown on each abacus in figures.
1
Hundreds
2
Tens
Units
4
Hundreds
Tens
Units
Tens
Units
Hundreds
Hundreds
Hundreds
Tens
Units
Hundreds
Tens
Units
Units
Hundreds
Units
Hundreds
Tens
Units
Hundreds
Tens
Units
Tens
Units
Tens
Units
9
Tens
Units
12
Tens
Units
14
Tens
Tens
6
11
13
Hundreds
Units
8
10
Hundreds
Tens
5
7
Hundreds
Hundreds
3
Hundreds
15
Tens
Units
Hundreds
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NOTATION – WHOLE NUMBERS
4.2P
1
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
2
Write each number in figures.
seventy-five
twenty-nine
one hundred and sixty-four
sixty
five hundred and thirty-eight
two hundred and fifteen
six hundred and ninety-four
thirteen
fifty-five
eight hundred and eighty-two
four hundred and nine
three hundred and seventy-three
thirteen
fifty-five
eight hundred and eighty-two
Write each number in words.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
63
40
386
109
668
701
392
285
94
583
272
501
583
18
o) 612
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NOTATION – WHOLE NUMBERS
4.3P
1
Use the competition results to answer the questions.
RESULTS
Arbroath
Banff
Carnoustie
Dundee
Elie
Forfar
a)
b)
c)
d)
e)
2
Grangemouth
65
24
38
71
58
42
49
Which team scored most points?
Which team came second?
Which teams scored less than fifty points?
Which team scored thirty-eight points?
Write down the teams in order of points scored. Start with the
highest score.
Use the table of sound levels to answer the questions.
Sound
Decibels
traffic
65
talking
34
rocket taking off 180
thunder
98
quiet whisper
10
train
81
jet taking off
116
a)
b)
c)
d)
e)
Which sound is less than twenty decibels?
Which sounds are more than eighty decibels?
Which sound is between ninety and one hundred decibels?
Which sound was quietest?
Sound greater than one hundred and thirty decibels is painful.
Are any of these sounds painful?
f) Write down the sounds in order of decibels. Start with the
loudest sound.
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NOTATION – WHOLE NUMBERS
4.4P
1
Use the distance table to answer the questions.
Distances from Glasgow
Aberdeen
Braemar
Crianlarich
Dundee
Edinburgh
Fort William
John o’ Groats
Largs
a)
b)
c)
d)
e)
f)
2
miles
142
111
51
77
44
103
296
30
Which place in the table is furthest from Glasgow?
Which place is just over a hundred miles from Glasgow?
How far is it from Glasgow to Scotland’s capital city?
Which place is one hundred and eleven miles from Glasgow?
Which places are less than sixty miles from Glasgow?
Which places are more than ninety miles from Glasgow?
A group of students are saving for a trip to France.
The table shows the savings each person has made.
Person
Mark
Terri
Jade
Steph
Misba
Vikki
Usman
Savings(£)
87
132
95
155
109
168
96
a)
b)
c)
d)
Who has saved most money?
How many people have saved more than ninety pounds?
Who has saved one hundred and sixty-eight pounds?
Who has saved between one hundred and one hundred and ten
pounds?
e) Who has saved less than one hundred and fifty pounds?
f) List the students in order of savings? Begin with the lowest
amount.
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NOTATION – WHOLE NUMBERS
4.5P
3
5
Thousands
Hundre ds
6
Tens
7
Units
three thousand five hundred and sixty seven
1
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
2
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
Write each number in figures.
three thousand, five hundred and forty-two
two thousand, six hundred and fourteen
one thousand, two hundred and three
eight thousand, seven hundred and twenty-five
six thousand, eight hundred and eighteen
five thousand, four hundred and thirty
one thousand, three hundred and seventy-six
ten thousand, one hundred and thirteen
nine thousand, five hundred and twenty
seven thousand, two hundred and five
four thousand, nine hundred and eighty
two thousand, three hundred and forty-one
eight thousand and twenty-five
five thousand, three hundred and forty-two
six thousand and twenty-nine
Write each number in words.
5631
9842
2763
1189
7210
6512
5370
9799
1923
5702
6057
4628
7001
3408
9761
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NOTATION – WHOLE NUMBERS
4.6p
1
Use the height table to answer the questions.
Volcano
Krakatoa
Fuego
Etna
Stromboli
Mauna Loa
Cotopaxi
Vesuvius
Ruapehu
Height (metres)
818
3835
3236
931
4170
5897
1289
2796
a)
b)
c)
d)
e)
Which is the highest volcano?
Which volcano is nine hundred and thirty-one metres high?
Which volcanoes are less than one thousand metres high?
Which volcanoes are more than two thousand metres high?
Which volcano is greater than three thousand metres in height but
less than three thousand five hundred metres?
f) Make a list of these volcanoes in order of size. Begin with the
highest volcano.
2
The table shows the height of some of Scotland’s mountains.
Use the table to answer the questions.
Mountain
Ben Nevis
Aonach Mor
Ben Macdhui
Cairn Gorm
Lochnagar
Ben Lair
Schiehallion
Height (feet)
4406
3999
4296
4084
3786
2817
3547
a)
b)
c)
d)
Which mountain is the tallest?
Which mountain is four thousand and eighty-four feet?
Which mountain is just under four thousand feet?
Which mountain is between four thousand and eighty feet and four
thousand and ninety feet?
e) Which mountains are more than three thousand feet high?
f) List the mountains in order of height. Begin with the lowest
mountain.
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FRACTIONS, PERCENTAGES AND DECIMALS
FRACTIONS, PERCENTAGES AND
DECIMALS
Fractions
Dividing one into equal parts gives fractions.
Two equal parts – halves
Three equal parts – thirds
Four equal parts – quarters
Five equal parts – fifths
Six equal parts – sixths
Ten equal parts – tenths
1
4
one quarter
one third
1
2
one half
three quarters
one
1
3
3
4
1
10%
5
oneten
fifthpercent
one sixth
1
6
1
10
one tenth
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FRACTIONS, PERCENTAGES AND DECIMALS
4.7P
Name: ________________________
How many different ways can you find to shade in a half?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.8P
Name: ________________________
How many different ways can you find to shade in a quarter?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.9P
Name: ________________________
Shade in the fraction shown under each shape.
1
3
2
one quarter
one half
4
5
one quarter
7
6
one eighth
8
one tenth
10
five eighths
9
three tenths
11
one fifth
one eighth
seven tenths
12
three fifths
one half
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FRACTIONS, PERCENTAGES AND DECIMALS
4.10P
Name: ________________________
What fraction of each shape is shaded?
1
2
4
7
10
3
5
8
11
6
9
12
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FRACTIONS, PERCENTAGES AND DECIMALS
Percentages
Percentage involves dividing one into one hundred equal parts.
25 per cent
25 ‘out of 100’
25%
twenty-five percent
50%
fifty percent
75%
seventy-five percent
100%
one hundred percent
25
100
= 25%
10%
ten percent
20%
twenty percent
30%
thirty percent
40%
forty percent
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FRACTIONS, PERCENTAGES AND DECIMALS
4.11P
Name: ________________________
Shade in 50%. How many ways can you find to shade 50%?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.12P
Name: ________________________
How many ways can you find to shade 10%?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.13P
Name: ________________________
Shade in the percentage shown under each square.
1
3
2
80%
4
15%
6
5
45%
7
75%
33%
100%
11
90%
35%
9
8
10
60%
85%
12
50%
29%
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FRACTIONS, PERCENTAGES AND DECIMALS
4.14P
What percentage of each square is shaded?
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
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FRACTIONS, PERCENTAGES AND DECIMALS
Decimal fractions
Decimal fractions mean dividing one into ten equal parts.
1
10
0á1
0.1
zero point one
10%
2
10
0á2
0.2
zero point two
20%
0á3
0.3
zero point three
0á4
0.4
zero point four
0á5
0.5
zero point five
3
10
30%
4
10
40%
5
10
50%
0á6
0.6
zero point six
6
10
10%
7
10
0á7
0.7
10%
zero point seven
0á8
0.8
zero point eight
0á9
0.9
zero point nine
8
10
10%
9
10
10%
1.0
1á0
one point zero
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100%
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FRACTIONS, PERCENTAGES AND DECIMALS
4.15P
11
Thispicture
picture represents
This
the number
2.4. the number 2á4
represents
Write
whichnumbers
numbers the
Write down
down which
pictures
below
represent.
the pictures
below
represent
2.4
2á4
a
b
c
d
e
f
2
Write the following in numbers.
a)
c)
e)
g)
fourteen point seven
ten point two
twenty-one point four
nineteen point nine
3
Write the following in words.
a)
c)
e)
g)
15·6
32·9
0·6
50·8
b)
d)
f)
h)
eight point three
fifteen point five
thirty-five point one
twelve point six
b)
d)
f)
h)
9·5
25·7
14·2
2·4
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FRACTIONS, PERCENTAGES AND DECIMALS
4.16P
1
Write the following in numbers.
a)
c)
e)
g)
i)
k)
m)
o)
q)
s)
u)
eight point six
fifty per cent
twenty-six point five
seventy-five per cent
two fifths
thirty-five point four
a quarter
one tenth
forty-five per cent
forty point eight
five point seven
2
Write the following in words.
b)
d)
f)
h)
j)
l)
n)
p)
r)
t)
v)
three quarters
twelve point three
twenty per cent
one third
sixty-five per cent
a half
eight point nine
eighty per cent
nineteen point one
ten per cent
one sixth
a)
11·4
b)
1
2
c)
30%
d)
15·3
e)
1
4
f)
75%
g)
5·7
h)
1·8
i)
25%
j)
29·2
k)
12·6
l)
45%
n)
9·1
p)
22·7
q)
50%
1
5
r)
s)
99%
t)
16·5
1
3
u)
0·8
v)
10%
m)
o)
1
10
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FRACTIONS, PERCENTAGES AND DECIMALS
Fractions and percentages
A fraction can mean the same as a percentage.
A half of £10 means the same as 50% of £10.
1
50% = 50%
2
fifty percent
per cent
onefifty
halfpercent
one quarter
one tenth
one
1
4
= 25%
twenty-five per cent
1
10
= 10%
1
= 100%
ten per cent
one hundred per cent
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FRACTIONS, PERCENTAGES AND DECIMALS
Finding 50% is the same as finding a half.
4.17P
1
of 42 = 21
2
21
Working
2
50% of 42 = 21
1
Find 50% of the following amounts.
a)
e)
i)
£8
£9
£38
2
Find
a)
e)
i)
£40
£31
£113
3
Find 50% of
a)
e)
i)
428 kg
£985
299 cm
4
1
Find 2 of the following amounts.
a)
e)
i)
104 mm
£28.70
£1286
b)
f)
j)
£30
£56
£150
c)
g)
k)
42
60p
£17
£290
d)
h)
l)
£2.20
£5.50
£12.50
1
of the following amounts.
2
b)
f)
j)
b)
f)
j)
b)
f)
j)
£120
£74
£69
c)
g)
k)
50p
£114
£85
d)
h)
l)
£6.80
£13.50
£19.70
650 m
1432 ml
56.20 m
c)
g)
k)
112 cm
272 cm
£33.60
d)
h)
l)
£12.58
£537
167 kg
672 ml
85 km
896 kg
d)
h)
l)
1536 kg
199 cm
538 mm
390 km
£157
774 g
c)
g)
k)
5
Tam found a closing-down sale that was giving a 50% discount on
every item. What will he have to pay for a lawnmower which
normally costs £250? (What is the discount on the lawnmower?)
6
Super Stores are having a sale. Everything is being sold at half
price. The computer normally costs £699.
Calculate the sale price for the computer.
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FRACTIONS, PERCENTAGES AND DECIMALS
Finding 25% is the same as finding a quarter.
4.18P
1
of 48 = 12
4
Working
12
4
25% of 48 = 12
48
1
Find 25% of the following amounts.
a)
e)
i)
£8
£36
£24
2
Find
a)
e)
i)
£32
£8.44
£128
3
Find 25% of
a)
e)
i)
228 kg
£380
1600 cm
4
1
Find 4 of the following amounts.
a)
e)
i)
208 mm
£36.12
£912
5
The garage is giving a 25% discount on every car. What is the
discount on a car costing £840 ?
6
The cost of the holiday is £252 per person.
b)
f)
j)
£40
£100
£120
c)
g)
k)
20p
£28
£200
d)
h)
l)
£4.40
£12
£1000
d)
h)
l)
£4.80
£12.80
£16.40
152 cm
304 cm
£55.60
d)
h)
l)
£17.56
£616
748 kg
336 ml
60 km
572 kg
d)
h)
l)
132 kg
22 cm
116 mm
1
4 of the following amounts.
b)
f)
j)
£16
£160
£600
b)
f)
j)
500 m
1824 ml
56.20 m
b)
f)
j)
492 km
£13.88
228 g
c)
g)
k)
48p
£320
£1200
c)
g)
k)
c)
g)
k)
Children under 4 years of age only cost
1
4
of the price.
How much will it cost for three year-old Tom?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.19P
1
Find 10% of the following amounts.
a)
e)
i)
£30
£150
£12
2
1
Find 10 of the following amounts.
a)
e)
i)
£500
£800
£135
3
Find 10% of
a)
e)
i)
850 kg
£440
1500 cm
4
1
Find 10 of the following amounts.
a)
e)
i)
250 mm
£26.10
£98
b)
f)
j)
£90
£100
£9
b)
f)
j)
£240
£120
£630
b)
f)
j)
b)
f)
j)
c)
g)
k)
c)
g)
k)
300 m
1360 ml
56 m
430 km
£19.80
135 kg
50p
£25
£15
80p
£36
£1800
c)
g)
k)
c)
g)
k)
270 cm
290 cm
£14·70
370 ml
70 km
285 kg
d)
h)
l)
£40
70p
£1000
d)
h)
l)
£40
£17
£9·50
d)
h)
l)
£22·50
£65
320 kg
d)
h)
l)
135 kg
57 cm
183 cm
5
Ray has to pay a 10% deposit for his holiday. The holiday costs
£325. How much will the deposit be?
6
Kia gives one tenth of her wages to the church each week. She
earned £175 this week. How much will she give to the church
this week?
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FRACTIONS, PERCENTAGES AND DECIMALS
4.20P
1
Jerri’s petrol tank holds 36 litres.
1
How much petrol does he have if the tank is a 4 full.
2
Find the cost of the TV which
normally costs £250.
3
Gary has to pay a 25% deposit on his new car. The full price of
the car is £8400. How much will he have to pay as a deposit?
4
Eve gets 10% commission on the amount she sells. This week
she sells £120 worth of clothes. How much commission will she
get?
5
The computer shop is selling off a number of computers at half
price. Calculate the sale price of a computer which normally costs
£695?
6
Judith wants to give 1 of her wages to charity.
10
SALE
50% OFF
EVERYTHING
She earns £780 a month. How much will she give to charity?
7
The package holiday to Corfu costs £320 for each adult.
Children under five years old pay 25% of the adult price.
How much will it cost for Sam, age two, to go to Corfu?
8
Three friends share a lottery prize of £135.
1
Each person is to receive 3 of the prize money.
How much will each person get?
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ADDITION AND SUBTRACTION
ADDITION
EXAMPLE
17 + 234 + 9 =
1
Show working clearly.
2
Copy the question carefully.
3
Make sure the digits are
in the correct column.
4
Begin with the units column.
5
Show carrying figures - this
makes it easier for you to
check your answer.
6
Check by adding from top to
bottom - the answer should be
the same.
tens
hundreds
units
9
234
12 7
260
SUBTRACTION
EXAMPLE
513 -Ğ 78 =
1
Show working clearly.
2
Copy the question carefully.
3
Make sure the digits are
in the correct column.
4
Begin with the units column.
5
Show calculating figures - this
makes it easier to check.
6
Check your answer by adding
- the two lines at the bottom
should add up to the top line.
tens
hundreds
4
units
1
0
1
513
Ğ 78
-
435
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ADDITION AND SUBTRACTION
4.21P
Name: ________________________
How fast can you complete the addition square?
Start
Finish
+
Time taken
3
9
5
8
10
6
7
1
2
16
19
12
14
17
13
20
15
11
18
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4
ADDITION AND SUBTRACTION
4.22P
Name: ________________________
Make up your own addition challenge or set the challenge for a partner
by choosing the numbers to be added.
Start
Finish
Time taken
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ADDITION AND SUBTRACTION
+
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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ADDITION AND SUBTRACTION
Addition
4.23P
In each question below add the numbers together
1
23 + 14
2
37 + 18
3
56 + 16
4
47 + 9
5
29 + 15
6
67 + 19
7.
45 + 17
8
88 + 13
9
43 + 17
10
86 + 16
11
97 + 19
12
38 + 25
13
27 + 78
14
75 + 26
15
93 + 28
16
6
38
29
17
6
47
38
18
6
54
87
19
6
26
76
20
6
19
85
21
6
45
77
22
6
61
79
23
6
34
87
24
6
15
89
25
6
99
44
26
6
67
77
72
27
6
88
5
67
28
6
29
94
38
66
58
29
99
31
116 + 67 + 245
32
421 + 184 + 47
33
8 + 207 + 59
34
223 + 152 + 63
35
43 + 59 + 163
36
125 + 88 + 381
37
59 + 9 + 173
38
25 + 39 + 179
39
232 + 119 + 366
40
182 + 74 + 88
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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6
93
16
8
30
© Learning and Teaching Scotland 2004
ADDITION AND SUBTRACTION
4.24P
Name: ________________________
How fast can you complete the subtraction square?
Start
Finish
Time taken
12
14
20
18
15
13
17
11
16
19
-4
-9
-2
-8
-3
-1
-5
-0
-7
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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ADDITION AND SUBTRACTION
Subtraction
4.25P
1
18 – 9
2
13 – 5
3
16 – 9
4
23 – 6
5
36 – 8
6
17 – 5
7
25 – 8
8
22 – 9
9
24 – 6
10
23 – 7
11
21 – 6
12
42 – 7
13
51 – 6
14
33 – 9
15
64 – 8
16
6
48
–16
17
6
18
6
35
–13
58
–37
19
6
46
–25
20
6
95
–53
21
6
32
–19
22
6
55
–18
23
6
44
–15
24
6
73
–27
25
6
54
–38
26
6
42
–15
27
6
81
–57
28
6
55
–29
29
6
79
–36
30
6
92
–33
31
6
338
–215
32
6
463
–151
33
6
254
– 28
34
6
376
–109
35
6
271
–199
36
135 – 69
37
217 – 57
38
354 – 188
39
243 – 187
40
592 – 37
41
181 – 55
42
532 – 106
43
441 – 177
44
282 – 74
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
ADDITION AND SUBTRACTION
4.26P
Addition and subtraction
1 Find the total of 14 and 37.
2 What is the difference between 31 and 24? (Difference means that
you need to subtract.)
3 What is the sum of 46 and 29?
4 Calculate 24 minus 15.
5 Add 35, 15 and 12.
6 35 take away 28.
7 Subtract 17 from 36.
8 Find the total of 41 and 37.
9 What is the difference between 29 and 18?
10 What is the sum of 35 and 27?
11 25 minus 18.
12 Add 26 and 18.
13 27 take away 18.
14 Subtract 11 from 36.
15 Find the total of 37 and 19.
16 Subtract 15 from 26.
17 Find the total of 48 and 36.
18 What is the difference between 30 and 18?
19 Find the sum of 33 and 46?
20 Calculate 38 minus 21.
21 Add 26, 24 and 11.
22 Calculate 65 take away 12.
23 Subtract 44 from 60.
24 Find the total of 58 and 29.
25 What is the difference between 75 and 63?
26 What is the sum of 85 and 13?
27 Calculate 50 minus 28.
28 Add 26, 16 and 13.
29 Calculate 27 take away 13.
30 Subtract 18 from 29.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
ADDITION AND SUBTRACTION
Addition and subtraction
4.27P
Copy and complete.
1
2
5432
675
1248
6
6
11
16
6
21
26
6
734
125
4397
7
6
576
– 134
3326
1587
984
2949
– 467
1154
2347
3686
2609
888
4083
31
6
12
695
– 224
2876
593
3851
17
6
22
1853
– 569
5479
1276
1264
27
6
8
6
13
18
6
23
28
2984
198
5660
4
5
88
507
2914
6520
–2874
32
6
6544
–3875
3
464
– 139
673
1403
7131
3838
932
35
9
6
652
– 375
14
3121
118
2923
19
8197
– 979
1898
2076
3217
1858
3495
2738
33
10
15
6
812
– 478
6777
428
1768
20
3232
– 538
24
6
3764
5412
2874
29
7530
– 1324
25
6
30
8617
–2975
34
5447
–1765
385
1864
2428
7643
3854
997
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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1008
6592
87
1953
964
35
7543
–3289
34
© Learning and Teaching Scotland 2004
ADDITION AND SUBTRACTION
4.28P
1
Gina made journeys of 45 miles, 37 miles and 28 miles.
Calculate her total mileage.
2
Jan spent £16, £35 and £27. How much did he spend
altogether?
3
After four appearances on the local TV quiz show the village
team had scored 48 points, 55 points, 72 points and 68 points.
Calculate their total score.
4
Ray’s car started the journey with 62 litres of fuel. He used 39
litres during the trip. How much fuel was in the tank when he reached
the end of the journey?
5
In the darts game each player threw three darts. Nick’s first three
darts scored 57, 40 and 28. Calculate his total score.
6
On her expenses form Samia claimed £89 for travel, £38 for food
and £75 for accommodation. Calculate her total claim.
7
The hotel kitchens bought 125 litres of cooking oil in January. By
June the kitchen staff had used 96 litres. How much oil is left in store?
8
The price of the DVD player was £113. For the sale the
shopkeeper reduced the price by £36. What price will the DVD player
be in the sale?
9
Sam’s bonus payments for the last four weeks were £37, £25,
£18 and £58. Calculate his total bonus for these four weeks.
10
The three berry pickers picked 19 kg, 27 kg and 25 kg. Work out
the total weight of berries picked.
11
Mark went shopping with £65. What will he have left after
spending £39 on DVDs?
12
Carrie deposited three cheques in her bank. The cheques were
for £17, £66 and £39. How much did she deposit altogether.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
MULTIPLICA TION
EXAMPLE
483
485 ×6 =6 =
tens
hundreds
1
Show working clearly.
2
Copy the question carefully.
3
Make sure the digits are
in the correct column.
4
Begin with the units column.
5
Show carrying figures - this
makes it easier to check.
units
44 81 3
 6
2898
DIVISION
EXAMPLE
612
÷
Ö
1
Show working clearly.
2
Copy the question carefully.
3
Make sure the digits are
in the correct column.
4 =
153
4
4
Begin with the column on the LEFT.
5
Show carrying figures - this
makes it easier to check.
2 1
612
start dividing here
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.29P
Name: ________________________
Complete the table square neatly and accurately.
It is a useful tool when working with multiplication and division.

1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.30P
Name: ________________________
How fast can you complete the multiplication square?
Start
Finish

Time taken
6
9
2
10
3
7
1
5
8
4
5
2
7
10
6
4
9
3
1
8
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.31P
Name: ________________________
Use the numbers 2 to 11 in any order to create your multiplication
square.
Start
Finish
Time taken

NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
Multiplication
4.32P
1
3×4
2
6×4
3
5×5
4
2×9
5
3×7
6
8×4
7
7×6
8
4×4
9
6×8
10
8×2
11
9×5
12
8×7
13
5×8
14
7 × 10
15
6×6
16
6
21
6
26
6
31
6
76
2
58
6
46
3
126
 4
17
6
22
6
27
6
32
6
18
6
39
3
23
6
42
7
28
6
37
9
33
6
351
 3
44
4
19
6
82
5
283
 5
19
6
24
6
29
6
34
6
27
3
25
8
76
8
192
 7
20
6
25
6
30
6
35
6
48
5
36
7
47
4
425
 9
36
643 × 5
37
197 ×7
38
384 × 2
39
473 × 4
40
565 × 3
41
189 × 5
42
274 × 6
43
871 × 8
44
275 × 9
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.33P
Name: ________________________
1
20 ÷ 4 =
2
36 ÷ 9 =
3
35 ÷ 7 =
4
18 ÷ 2 =
5
9÷3=
6
25 ÷ 5 =
7
48 ÷ 6 =
8
60 ÷ 10 =
9
21 ÷ 7 =
10
24 ÷ 3 =
11
42 ÷ 6 =
12
27 ÷ 9 =
13
12 ÷ 4 =
14
18 ÷ 3 =
15
54 ÷ 6 =
16
64 ÷ 8 =
17
6÷2=
18
32 ÷ 4 =
19
72 ÷ 9 =
20
40 ÷ 8 =
21
49 ÷ 7 =
22
16 ÷ 4 =
23
36 ÷ 6 =
24
63 ÷ 7 =
25
45 ÷ 5 =
26
14 ÷ 2 =
27
12 ÷ 6 =
28
15 ÷ 3 =
29
24 ÷ 6 =
30
28 ÷ 4 =
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.34P
Division
1
20 ÷ 4
2
16 ÷ 4
3
35 ÷ 5
4
36 ÷ 9
5
21 ÷ 7
6
28 ÷ 4
7
42 ÷ 6
8
8÷4
9
16 ÷ 8
10
20 ÷ 2
11
45 ÷ 5
12
24 ÷ 6
13
32 ÷ 4
14
70 ÷ 10
16
6
20
6
24
6
28
6
2
6
9
6
48
174
675
558
17
6
21
6
25
6
29
6
4
3
5
8
96
537
720
224
15
18
6
22
6
26
6
30
6
5
7
2
3
12 ÷ 6
19
6
85
23
6
910
27
6
992
31
6
498
3
81
8
504
7
833
4
756
32
425 ÷ 5
33
882 ÷ 3
34
564 ÷ 6
35
272 ÷ 4
36
609 ÷ 7
37
504 ÷ 8
38
738 ÷ 3
39
810 ÷ 9
40
754 ÷ 2
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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MULTIPLICATION AND DIVISION
4.35P
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
Multiplication and division
Find the product of 5 and 9.
What is one third of 18?
What is 4 times 7?
Calculate 35 divided by 5.
Multiply three and four.
Find one tenth of 80.
Divide fifty-six by seven.
Find the product of four and six.
Find half of 38.
Find three times ten.
Find one fifth of 40.
Multiply six times seven.
Divide forty-nine by seven.
Calculate nine multiplied by four.
Calculate 24 divided by 3.
Find a quarter of sixteen.
What is one tenth of 20?
What is 8 times 4?
Calculate 20 divided by 2.
Multiply nine and six.
Find one sixth of 18.
Divide twenty-four by three.
Find the product of six and six.
Find half of one hundred.
Find ten times ten.
Find one fifth of 25.
Multiply two times thirteen.
Divide twelve by six.
Calculate eight multiplied by nine.
Eleven times three?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
Multiplication and division
4.36P
Copy and complete
1
482
2
 3
 5
6
6
10
2
48
428
 7
3
347
7
6
11
4
743
 6
4
291
 6
8
6
96
12
129
 9
5
674
583
 2
5
9
6
85
13
 4
467
 8
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
3
14
81
358
 7
44
© Learning and Teaching Scotland 2004
MULTIPLICATION AND DIVISION
4.37P
1
Mia travels 8 miles every day. Calculate the distance she travels
in a week.
2
Joe spends a quarter of his wages on food. He earns £136
pounds a week. How much does he spend on food?
3
Dennis decides to save 75p every day. How much will he save in
the month of January, which has 31 days?
4
Five friends share a lottery prize equally. They have won £720.
How much will each person receive?
5
A television costs £450. The shop has a special offer. Customers
can pay the cash price in 10 equal monthly payments. How much will
each payment be?
6
Harry has to put down a deposit of one third of the cash price for
his new car. The car costs £768. How much will he need to pay for the
deposit?
7
A restaurant bill is £156. The six people at the table agree to pay
an equal share of the bill. How much will each person pay?
8
Marnie spends £4 a day for transport to work. She works 5 days
each week. How much will she spend if she works for 48 weeks in the
year?
9
Each egg carton holds 6 eggs. How many cartons will it take to
pack 450 eggs?
10
The market gardener plants 6 cucumbers in every row. How
many rows will he be able to plant if he has 192 cucumber plants
altogether?
11
Ernie wants to buy 8 DVDs. If each one costs £16, how much will
he have to pay?
12
The stamps cost 27p each. How much will it cost for 9 stamps?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
USING A FORMULA
USING A FORMULA
1
Read the question carefully - you
may need to read it more than once.
2
Copythe formula.
3
Substitute numbers for words.
4
Show working clearly.
5
Show answer with units clearly.
6
Ask
IS THIS A SENSIBLE ANSWER?
EXAMPLE
The cost of a garage repair bill can be worked out using the
formula below.
T otal cost = 17  Hours + Cost of parts
How much will it cost for a repair which took 5 hours and
£128 worth of parts.
1
2
3
4
Read carefully
T otal cost = 17  Hours + Cost of parts
= 17   5
Show working
+
128
85
11 2 1 8
13 7
 5
85
21 3
5
Answer with units
6
£213 sounds sensible for the total cost.
£2 1 3
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
USING A FORMULA
4.38P
1 The amount a customer owes can be calculated by using the
following formula.
Amount owed = Total bill – Payment
How much is owed when the total bill is for £267 and the payment
made is £29.
2 The cost of a new kitchen can be calculated by using the following
formula.
Total cost = Cost of units + Cost of fitting
+
VAT
What is the cost of a kitchen when the units are £850, the fitting
costs £345 and the VAT is £209.
3 The distance travelled can be calculated by using the following
formula.
Distance = Speed  Time
What distance has Christopher travelled if his speed was 75 km/h
for 4 hours.
4 The size of the third angle in a triangle can be calculated by using
the following formula.
Angle 3 = 180
–
Angle 1 –
Angle 2
Use the formula and the angle sizes given in the table below to find
the size of the missing angles
a
b
c
ANGLE
1
29°
107°
96°
ANGLE 2
ANGLE 3
56°
35°
18°
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
USING A FORMULA
4.39P
1
The area of a rectangle can be calculated by using the following
formula.
Area = Length × Breadth
Calculate the area of the rectangles in the table below by using the
formula. Remember the area will be in square centimetres (cm2).
Rectangle
A
B
C
2
Length
(cm)
16
28
19
Breadth
(cm)
7
9
5
Area (cm2)
The deposit for a car can be calculated using the formula below.
Deposit = Price
÷
5
Calculate the deposit required for a car costing £9625
3
The perimeter of a rectangle can be calculated by using the
following formula.
Perimeter = 2

(Length +
Breadth)
Calculate the perimeter of a rectangle which is 45 cm long and 28 cm
broad.
4
The perimeter of a regular octagon can be calculated by using
the following formula.
Perimeter = Length of side

8
Calculate the perimeter of a regular octagon with sides 26 m long.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SOLVING PROBLEMS
SOLVING PROBLEMS
1
Read the question carefully - you
may need to read it more than once.
2
Select a strategy Ğ
3
Show working clearly.
4
Show answer with units clearly.
5
Ask
ADD
which one to choose?
SUBTRACT
MULTIPLY
DIVIDE
IS THIS A SENSIBLE ANSWER?
EXAMPLE
Dave spends £3 a day for transport to work.
He works 5 days a week. He works 47 weeks a year.
How much will he spend for transport to work in one year?
1
Read carefully
ADD
SUBTRACT
MULTIPLY
DIVIDE
2
Select a strategy
3
Show working
4
Answer with units
5
£705 sounds sensible for the yearÕs travel.
43 7
 5
235
MULTIPLY
21 31 5
 3
705
£7 0 5
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SOLVING PROBLEMS
4.40P
1
Six people shared a lottery prize equally. Each person received
£348. How much did they win altogether?
2
Copy and complete the bill.
Item
2 loaves
Price
55p each
6 apples
18p each
500g cheese
£5.60 per kg
3 bottles wine
£4.99 each
£
p
TOTAL
3
The computer costs £899 but the VAT is an extra £157.50.
What is the total cost for the computer.
4
Jen is offered an annual salary of £8520.
How much will she be paid each month?
5
Ben Macdhui, the second highest Scottish mountain, is four
thousand, two hundred and ninety-six feet high. The highest Scottish
mountain is Ben Nevis which is four thousand, four hundred and six feet
high. How much higher is Ben Nevis than Ben Macdhui?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SOLVING PROBLEMS
4.41P
1
Petrol costs 78p per litre. Tess puts 5 litres into her motorcycle
tank. How much will the petrol cost?
2
Copy and complete the bill
Items
4 light bulbs
Price
68p each
2 blank videos
£1.25 each
3 DVDs
£15.99 each
5 CDs
£5.78 each
£
p
TOTAL
3
Mr Mackay’s house has oil-fired central heating. His oil tank
holds 500 litres of oil. The tank was filled at the beginning of
September. Calculate how much oil has been used if there are only 143
litres left in the tank.
4
Ralph wants to plant 3 dozen tulips. On the internet he finds he
can buy tulips for 8p per bulb. How much will he have to pay for 3
dozen bulbs? (Dozen = 12)
5
Ali paid £378 for 7 tables for her new coffee shop. How much
did each table cost?
She needs 4 chairs for each table. The chairs cost £10 each. How
much will she need to spend on the chairs?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SOLVING PROBLEMS
4.42P
1
1 of the cars in the college car park are silver.
5
There are 235 cars parked. How many are silver?
2
Colin is packing his hand-made tablet into boxes. Each box holds
4 bars. How many boxes will he need to hold 196 bars of tablet?
3
For his holiday Scott paid a deposit of £65 and then made 10
equal payments of £18.60. Calculate the total cost of the holiday.
The cash price for the holiday was £239. How much would he
have saved by paying cash?
4
Kevin wants to save £486. If he saves £4 a week by walking to
work, how long will it take him to save the money?
5
Jim has to buy all the art supplies for his department. His total
budget is £1255. He spends £489 on paint and £265 on paper.
Calculate how much he still has to spend.
6
Mike has to make an expenses claim at the end of each month.
This month he has spent £282 on petrol, £174 on food and £79 on
accommodation. What is his total expenditure this month?
1
7
Gill is offered a discount of
4 off the price of a new car by
trading in her current car.
What will she have to pay for a new car costing £9560?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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PREPARING FOR ASSESSMENT
PREPARING FOR ASSESSMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
one
two
three
four
five
six
seven
eight
nine
ten
eleven
twelve
thirteen
fourteen
fifteen
sixteen
seventeen
eighteen
nineteen
10
20
30
40
50
60
70
80
90
ten
twenty
thirty
forty
fifty
sixty
seventy
eighty
ninety
one hundred
two hundred
three hundred
four hundred
five hundred
six hundred
seven hundred
eight hundred
nine hundred
Notation
Vocabulary
Thousands Hundreds Tens Units
2146
Two thousand, one hundred and forty-six
1
2
=
one half
1
4
=
one quarter
1
10
one tenth
one
100
200
300
400
500
600
700
800
900
1
=
50%
fifty
per cent
25%
twenty-five
per cent
50%
fifty
per cent
100%
one hundred
per cent
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
53
© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
Preparing for assessment
hu ndred s
te ns
hu ndred s te ns
un its
9
234
12 7
260
4
un its
hu ndred s
0
1
44 81 3
 6
2898
435
SUBTRACTION
1
Show working clearly.
2
Copy the question carefully.
3
Make sure the digits are
in the correct column.
4
Begin with the units column.
5
Show carrying figures - this
makes it easier for you to
check your answer.
un its
1
513
- 78
Ğ
ADDITION
te ns
MULTIPLICATION
DIVISION
153
4
2 1
612
start dividing here
Begin with the column on the LEFT.
1
Read the question carefully - you
may need to read it more than once.
2
Select a strategy Ğ
3
Show working clearly.
4
Show answer with units clearly.
5
Ask
1
Copythe formula.
2
Substitute numbers for words.
3
Solve the problem
ADD
SUBTRACT
MULTIPLY
DIVIDE
which one to choose?
SOLVING
PROBLEMS
IS THIS A SENSIBLE ANSWER?
USING A
FORMULA
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
54
© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
4.43A
1
2
Name: ________________________
Write these number in figures.
a)
seventy-five
b)
five hundred and two
Write each number in words.
a)
63
b)
316
3
A group of friends are saving aluminium cans to raise money for
charity. The table shows the number of cans each person has saved.
Person
Carl
Pierre
Josh
Stacey
Connor
Jack
Rajid
Cans Saved
96
188
55
194
113
43
172
a)
Who has saved most cans?
b)
How many people have more than one hundred cans?
c)
Who has saved exactly one hundred and thirteen cans?
d)
Who has saved less than eighty cans?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
55
© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
4.44A
Name: ________________________
1 What fraction of this
square is shaded?
2
1
Shade in
6
of this
hexagon.
3
4 What
percentage
is shaded?
Shade 50%
5.
Drew has to pay a 10% deposit for his holiday. The holiday
costs £360. How much will he have to pay as a deposit?
6.
Ranulph gives one third of his wages to his mother to pay for his
food and board. He earns £135 a week. How much does he give to his
mother each week?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
56
© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
4.45A
Name: ________________________
1
Find the total of 14 and 37.
2
What is the difference between 31 and 24?
3
37 + 9 =
4
93 – 8 =
5
5 + 76 =
6
72 – 7 =
9
401
58
395
7 48
8
16
27
11
135 + 69 + 502
284
–1 2 3
6
12
10
254
–1 7 6
214 – 47
13
William has to buy food for an expedition. His total budget is
£764. He spends £258 on meat and £193 on fruit and vegetables.
Calculate how much he still has to spend.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
4.46A
Name: ________________________
1
Find one third of 21.
2
What is the product of 8 and 6?
3
7×4
4
20 ÷ 5
5
36 ÷ 4
6
6×8
7
11
374
 2
871 ×
8
659
 4
9
10
4
12
72
6
438
465 ÷ 5
13
Doreen is packing eggs into boxes. Each box holds 6 eggs. How
many boxes will she need in order to pack 276 eggs?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
PREPARING FOR ASSESSMENT
4.47A
Name: ________________________
1
The amount a customer owes on their account can be calculated
by using the following formula.
Amount owed = Total bill – Payment
How much is owed when the total bill is for £205 and the
payment made is £37.
2
Annie paid a deposit of £75 and then made 10 equal monthly
payments of £19. Calculate the total cost of the holiday.
The cash price for the holiday was £230. How much would she
have saved by paying cash?
3
Glen keeps a record of his spending each month. This month his
living expenses are £134 for heating, £185 for food and £176 for rent.
What is the total for his living expenses this month?
He earns £856 per month. How much does he have left to spend?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
59
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOME 4
SAMPLE ASSESSMENT: OUTCOME 4
1
Write the number five hundred and thirty-eight in figures.
___________________________________________________
Write the number 76 in words.
___________________________________________________
2
Use the distance table to answer the questions.
Town
Ayr
Dunfermline
Galashiels
Kirkcaldy
Oban
Distance from
Edinburgh (miles)
72
16
33
25
123
a)
Which town is closest to Edinburgh?
b)
Which town is seventy-two miles
from Edinburgh?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
60
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOME 4
3
Shade in 60% of this square.
4a)
What fraction of
this square is shaded?
b)
Shade in one third of this triangle.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
61
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOME 4
Don’s petrol tank holds 36 litres. How much is in his tank when it is
1 full.
4
litres
6
BARGAIN
COMPUTERS
50% OFF
NORMAL PRICE
Calculate the sale price of the computer
which normally costs £700.
£
7
Pete keeps a check on his commission each month by recording
it in a table. Which month earned him more commission and how much
more did he make?
OCT
WEEK 1
WEEK 2
WEEK 3
WEEK 4
COMMISSION
£ 38
£ 12
£ 25
£ 53
TOTAL
The best month was
NOV
WEEK 1
WEEK 2
WEEK 3
WEEK 4
£128
COMMISSION
£ 14
£ 23
£ 49
£ 55
TOTAL
£141
by £
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOME 4
8
Kelly needs to save £252 for her holiday. She can save £6 each
week. How many weeks will it take for her to save the money?
weeks
9
The potter can produce 4 bowls a day. He works 5 days a week.
How many bowls can he make in 7 weeks?
bowls
10
The taxi fare can be worked out by using the formula.
Cost = £2  miles travelled
+
£1·50
How much will it cost for a 3-mile journey?
£
11
Steve’s car needs a new gear-box. The new gear-box costs £85
and it will cost £177 to fit it. Calculate the total cost of repairing the car.
£
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
63
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
SAMPLE ASSESSMENT
Outcome 1
1
Use a ruler to draw a line 8 centimetres long.
2
Measure the length of this line to the nearest centimetre.
3
Write down the weight of these carrots.
7
0
kg
1
6
2
5
4
4
3
Use shading to show a temperature of 15°C.
25
20
15
10
5
0
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
64
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
Outcome 2
1
Jack keeps a record of the maximum temperature and the number of
hours of sunshine each day of the week. Use the information to answer the
questions.
Day
Temperature
Hours of
sunshine
Mon
8°C
2
Tue
17°C
5
Wed
15°C
4
a)
How many hours of sunshine
were there on Tuesday?
b)
Which was the warmest day?
Thu
13°C
3
Fri
19°C
7
Sat
10°C
2
Sun
12°C
3
2
a)
What colour of car is most popular?
b)
How many cars were red?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
65
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
3
This graph shows the
maximum temperature
recorded in Inverness
for each day of one
winter week.
a)
Which day was warmest?
b)
Which day was recorded at 4°C?
4
The diagram shows a lawn surrounded by a path made from slabs.
Each slab is 1 m square. Find the length and breadth of the lawn from the
diagram.
lawn
Breadth ___________
Length ____________
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
66
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
Outcome 3
Complete the table to show the information given below
CAR
Toyota
Ford
Mazda
Volvo
Honda
RED
4
8
5
1
BLACK
SILVER
10
15
14
4
25
1
BLUE
2
7
18
8
GREEN
0
1
1
8
0
Just 3 black Mazdas rolled off the fore court at Jo’s Garage last month.
However, she did sell 9 black and 6 blue Toyotas though silver Fords did
better with 11 cars sold. The red Volvo’s had 3 sales as did the silver Hondas.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
67
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
Complete the bar graph to show the figures in the table.
Complete the diagram to show that
a)
the distance from Kirkcaldy to St Andrews is 24 miles
b)
the distance from Kirkcaldy to Dundee is 30 miles
DUNDEE
22 miles
PERTH
13 miles
ST ANDREWS
35 miles
STIRLING
22 miles
13 miles
KIRKCALDY
DUNFERMLINE
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
68
© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
Outcome 4
1
Write the number two hundred and forty-nine in figures.
_____________________________________________
Write the number 51 in words.
_________________________________________________________
2
Use the distance table to answer the questions.
Town
Ardrossan
Ayr
Braemar
Callander
Fort William
3
Distance from
GLASGOW (miles)
29
33
111
36
103
a)
Which town is closest to Glasgow?
b)
Which town is thirty-six miles from Glasgow?
a)
What percentage of
this square is shaded?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
4
b)
Shade in 80% of this square.
a)
What fraction of
this hexagon is shaded?
____________________
b)
Shade in one quarter
of this square.
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
5
Gina’s petrol tank holds 30 litres.
How much is in her tank when it is 13 full?
litres
6
BARGAIN
COMPUTERS
10% OFF
NORMAL PRICE
Calculate the sale price of the computer
which normally costs £600.
£
7
Andy keeps a check of his spending on petrol each month by recording
it in a table. In which month did he spend most on petrol? How much more
did he spend?
June
SPENDING
WEEK 1
WEEK 2
£ 26
£ 35
WEEK 3
£ 28
WEEK 4
TOTAL
£ 41
The best month was
July
WEEK 1
WEEK 2
WEEK 3
WEEK 4
SPENDING
£ 32
£ 40
£ 29
£ 36
TOTAL
by £
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAMPLE ASSESSMENT: OUTCOMES 1 TO 4
8
Ali needs to save £175 for his holiday. He can save £5 each week.
How many weeks will it take for him to save the money.
weeks
9
The potter can produce 5 bowls a day. He works 7 days a week. How
many bowls can he make in 4 weeks?
bowls
10
The garage bill can be worked out by using the formula.
Price
= parts
+
labour
+ VAT
How much will it be if parts cost £48, labour costs £79 and VAT is £22?
£
11
A bottle contains 240 ml of cough syrup. How many spoonfuls can you
get from a bottle? One spoonful holds 5ml.
Carrie has to take two 5 ml spoonfuls three times a day. How many days will
the bottle last?
NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION
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© Learning and Teaching Scotland 2004
ANSWERS: UNIT 3, OUTCOME 4
ANSWERS
4.1P
1.
2.
3.
4.
5.
925
563
810
106
439
4.2P
1 a) 75
b) 29
c) 164
d) 60
e) 538
2
6. 707
7. 23
8. 610
9. 952
10. 537
f) 215
g) 694
h) 13
i) 55
j) 882
a) sixty-three
b) forty
c) three hundred and eighty six
d) one hundred and nine
e) six hundred and sixty eight
f) seven hundred and one
g) three hundred and ninety two
h) two hundred and eighty five
11. 388
12. 349
13. 413
14. 781
15. 629
k) 409
l) 373
m) 13
n) 55
o) 882
i) ninety four
j) five hundred and eighty three
k) two hundred and seventy two
l) five hundred and one
m) five hundred and eighty three
n) eighteen
o) six hundred and twelve
4.3P
1. a) Dundee
b) Arbroath
c) Banff, Carnoustie, Forfar
d) Carnoustie
e) Ordered: Dundee, Arbroath, Elie, Forfar, Carnoustie, Banff
2. a) Quiet whisper
b) Rocket,jet,thunder,train
c) Thunder
d) Whisper
e) Rocket
f) Ordered: Rocket, jet, thunder, train, traffic, talking, whisper
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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ANSWERS: UNIT 3, OUTCOME 4
4.4P
1
a) John O’Groats
b) Fort William
c) 44 miles to Edinburgh
d) Braemar
e) Edinburgh, Crianlarich, Largs
f) Aberdeen, Braemar, Fort William, John O’Groats
2
a) Vikki
b) Terri, Steph, Jade, Misba, Vicki, Usman
c) Vikki
d) Misba
e) Mark, Terri, Jade, Misba, Usman
f) Ordered: Mark, Jade, Usman, Misba, Terri, Steph, Vikki
4.5P
1
a) 3 542
b) 2 614
c) 1 213
d) 8 725
e) 6 818
f) 5 430
g) 1 376
h) 10 113
i) 9 520
j) 7 205
2
a) five thousand six hundred and thirty one
b) nine thousand eight hundred and forty two
c) two thousand seven hundred and sixty three
d) one thousand one hundred and eighty nine
e) seven thousand two hundred and ten
f) six thousand five hundred and twelve
g) five thousand three hundred and seventy
h) nine thousand seven hundred and ninety nine
i) one thousand nine hundred and twenty three
j) five thousand seven hundred and two
k) six thousand and fifty seven
l) four thousand six hundred and twenty eight
m) seven thousand and one
n) three thousand four hundred and eight
o) nine thousand seven hundred and sixty one
k) 4 980
l) 341
m) 8 025
n) 5 342
o) 6 029
4.6P
1 a) Cotopaxi
b) Stromboli
c) Stromboli and Krakatoa
d) Fuego, Etna, Mauna Loa, Cotopaxi, Ruapehu
e) Etna
f) Cotopaxi, Mauna Loa, Fuego, Etna, Ruapehu, Vesuvius, Stromboli,
Krakatoa
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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74
ANSWERS: UNIT 3, OUTCOME 4
2
a) Ben Nevis
b) Cairn Gorm
c) Aonach Mor
d) Cairn Gorm
e) All except Ben Lair
f) Ben Lair, Schiehallion, Lochnagar, Aonach Mor, Cairn Gorm,
Ben Macdhui, Ben Nevis
4.7P
Check that one half of each diagram is shaded on worksheet
4.8P
Check that a quarter of each diagram is shaded on worksheet
4.9P
Check that shading matches the amounts on worksheet.
4.10P
1.
2.
3.
4.
¼
½
8/16 = ½
1/5
5.
6.
7.
8.
1/3
1/6
3/6 = ½
¾
9.
10.
11.
12.
2/3
¼
4/10 = 2/5
2/4 = ½
4.11P
Check that 50% of each diagram is shaded on worksheet.
4.12P
Check that 10% of each diagram is shaded on worksheet.
4.13P
Check that shading matches the amounts on worksheet.
4.14P All units are percentages.
1.
2.
3.
4.
5.
6.
7.
8.
80
40
25
40
20
40
70
36
9.
10.
11.
12.
13.
14.
15.
16.
15
37
51
64
6
59
90
99
17.
18.
19.
20.
21.
22.
23.
24.
75
93
14
81
50
20
73
100
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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75
ANSWERS: UNIT 3, OUTCOME 4
4.15P
1.
a) 3.5
b) 2.6
c) 1.7
d) 2.1
e) 3.3
f) 5.8
2.
a) 14.7
b) 8.3
c) 10.2
d) 15.5
e) 21.4
f) 35.1
g) 19.9
h) 12.6
3. a) fifteen point six
b) nine point five
c) thirty two point nine
d) twenty five point seven
4.16P
1.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
e) zero point six
f) fourteen point two
g) fifty point eight
h) two point four
8.6
¾
50%
12.3
26.5
20%
75%
1/3
2/5
65%
35.4
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
½
¼
8.9
1/10
80%
45%
19.1
40.8
10%
5.7
1/6
eleven point four
a half
thirty percent
fifteen point three
a quarter
seventy five percent
five point seven
one point eight
twenty five percent
twenty nine point two
twelve point six
l)
m)
n)
o)
p)
q)
r)
s)
t)
u)
v)
forty five percent
a tenth
nine point one
fifty percent
twenty two point seven
a fifth
sixteen point five
ninety nine percent
a third
zero point eight
ten percent
2.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
© Learning and Teaching Scotland 2004
76
ANSWERS: UNIT 3, OUTCOME 4
4.17P
1.
2.
3.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
£4
£15
30p
£1.10
£4.50
£28
£8.50
£2.75
£19
£75
£145
£6.25
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
£20
£60
25p
£3.40
£15.50
£37
£57
£6.75
£56.5
£34.5
£42.5
£9.85
a.
b.
c.
d.
e.
f.
52mm
195km
336ml
768kg
£14.35
£78.50
g.
h.
i.
j.
k.
l.
42.5km
99.5cm
£643
387g
448kg
269mm
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
214kg
325m
56cm
£6.29
£492.50
716ml
136cm
£268.50
149.5cm
28.1m
£16.80
83.5kg
4.
5.
£125
6.
£349.50
4.18P
1.
a.
b.
c.
d.
e.
f.
£2
£10
5p
£1.10
£9
£25
g.
h.
i.
j.
k.
l.
£7
£3
£6
£30
£50
£250
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
© Learning and Teaching Scotland 2004
77
ANSWERS: UNIT 3, OUTCOME 4
2.
a)
b)
c)
d)
e)
f)
£8
£4
12p
£1.20
£2.11
£40
g)
h)
i)
j)
k)
l)
£80
£3.20
£32
£150
£300
£4.10
a)
b)
c)
d)
e)
f)
57kg
125m
38cm
£4.39
£95
456ml
g)
h)
i)
j)
k)
l)
76cm
£154
400cm
14.05m
£13.90
187kg
a)
b)
c)
d)
e)
f)
52mm
123km
84ml
33kg
£9.03
£3.47
g)
h)
i)
j)
k)
l)
15km
5.5cm
£228
57g
143kg
29mm
g.
h.
i.
j.
k.
l.
£2.50
7p
£1.20
90p
£1.50
£100
3.
4.
5.
6.
4.19P
1.
a.
b.
c.
d.
e.
f.
£210
£63.00
£3
£9
5p
£4
£15
£10
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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78
ANSWERS: UNIT 3, OUTCOME 4
2.
a)
b)
c)
d)
e)
f)
£50
£24
8p
£4
£80
£12
g)
h)
i)
j)
k)
l)
£3.60
£1.70
£13.50
£63
£180
95p
a)
b)
c)
d)
e)
f)
85kg
30m
27cm
£2.25
£44
136ml
g)
h)
i)
j)
k)
l)
29cm
£6.50
150cm
5.6m
£1.47
32kg
a)
b)
c)
d)
e)
f)
25mm
43km
37ml
13.5kg
£2.61
£1.98
g)
h)
i)
j)
k)
l)
7km
5.7cm
£9.80
13.5kg
28.5kg
18.3cm
5.
6.
7.
8.
£347.50
£78
£80
£45
3.
4.
5.
6.
£32.50
£17.50
4.20P
1.
2.
3.
4.
9 litres
£125
£2100
£12
4.21P Grid completed
4.22P Grid completed – pupil’s own numbers
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
© Learning and Teaching Scotland 2004
79
ANSWERS: UNIT 3, OUTCOME 4
4.23P
1.
37
2.
55
3.
72
4.
56
5.
44
6.
86
7.
62
8.
101
9.
60
10. 102
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
116
63
105
101
121
67
85
141
102
104
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
122
140
121
104
143
216
160
198
186
117
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
428
652
274
438
265
594
241
243
717
344
4.24P Grid completed.
4.25P
1. 9
2. 8
3. 7
4. 17
5. 28
6. 12
7. 17
8. 13
9. 18
10. 16
11. 15
12. 35
13. 45
14. 24
15. 56
16. 32
17. 22
18. 21
19. 21
20. 42
21. 13
22. 37
4.26P
1. 51
2. 7
3. 75
4. 9
5. 62
6. 7
7. 19
8. 78
9. 11
10. 62
23. 29
24. 46
25. 16
26. 27
27. 24
28. 26
29. 43
30. 59
31. 123
32. 312
33. 226
11. 7
12. 44
13. 9
14. 25
15. 56
16. 11
17. 84
18. 12
19. 79
20. 17
34. 267
35. 72
36. 66
37. 160
38. 166
39. 56
40. 555
41. 126
42. 426
43. 264
44. 208
21. 61
22. 53
23. 16
24. 87
25. 12
26. 98
27. 22
28. 55
29. 14
30. 11
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ANSWERS: UNIT 3, OUTCOME 4
4.27P
1. 7355
2. 5256
3. 3509
4. 1805
5. 4677
6. 442
7. 471
8. 325
9. 277
10. 334
11. 5897
12. 7320
4.28P
1. 110 miles
2. £78
3. 243 points
4. 23 litres
5. 125
6. £202
13. 9207
14. 6162
15. 8973
16. 2482
17. 1284
18. 7218
19. 2694
20. 6206
21. 7187
22. 8019
23. 7191
24. 12050
25. 11816
26. 7580
27. 3646
28. 8091
29. 5642
30. 3004
31. 2669
32. 8842
33. 3682
34. 12494
35. 4254
7. 29 litres
8. £77
9. £138
10. 71 kg
11. £26
12. £122
4.29P Grid completed.
4.30P Grid completed.
4.31P Grid completed – pupil’s own numbers
4.32P
1. 12
2. 24
3. 25
4. 18
5. 21
6. 32
7. 42
8. 16
9. 48
10. 16
11. 45
12. 56
13. 40
14. 70
15. 36
16. 152
17. 117
18. 176
19. 81
20. 240
21. 348
22. 294
23. 114
24. 200
25. 252
26. 138
27. 333
28. 410
29. 608
30. 188
31. 504
32. 1053
33. 1415
34. 1344
35. 3825
36. 3215
37. 1379
38. 768
39. 1892
40. 1695
41. 945
42. 1644
43. 6968
44. 2475
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ANSWERS: UNIT 3, OUTCOME 4
4.33P
1. 5
2. 4
3. 5
4. 9
5. 3
6. 5
7. 8
8. 6
9. 3
10. 8
11. 7
12. 3
13. 3
14. 6
15. 9
16. 8
17. 3
18. 8
19. 8
20. 5
21. 7
22. 4
23. 6
24. 9
25. 9
26. 7
27. 2
28. 5
29. 4
30. 7
4.34P
1. 5
2. 4
3. 7
4. 4
5. 3
6. 7
7. 7
8. 2
9. 2
10. 10
11. 9
12. 4
13. 8
14. 7
15. 2
16. 24
17. 24
18. 17
19. 27
20. 29
21. 179
22. 130
23. 63
24. 75
25. 144
26. 496
27. 119
28. 93
29. 28
30. 166
31. 189
32. 85
33. 294
34. 94
35. 68
36. 87
37. 63
38. 246
39. 90
40. 377
4.35P
2. 45
3. 6
4. 28
5. 7
6. 12
7. 8
8. 8
9. 24
10. 19
11. 8
12. 42
13. 7
14. 36
15. 8
16. 4
17. 2
18. 32
19. 10
20. 54
21. 3
22. 8
23. 36
24. 50
25. 100
26. 5
27. 26
28. 2
29. 72
30. 33
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ANSWERS: UNIT 3, OUTCOME 4
4.36P
1.
2.
3.
4.
5.
2410
1041
1746
1348
2332
6. 24
7. 24
8. 17
9. 27
10. 2996
11. 4458
12. 1161
13. 3736
14. 2506
5.
6.
7.
8.
9. 75 cartons
10. 32 rows
11. £128
12. £2.43
4.37P
1.
2.
3.
4.
56 miles
£34
£23.25
£144
£45
£256
£26
£960
4.38P
1. £238
2. £1404
3. 300km
4. 95 o, 38 o, 66 o
4.39P
1. 112, 252, 95cm 2
2. £1925
3. 146cm
4. 208m
4.40P
1. £2088
2. £1.10 £1.08 £2.80 £14.97 Total £19.95
3. £1056.50
4. £710
5. 110 feet
4.41P
1. £3.90
2. £2.72 £2.50 £42.97 £28.90 Total £82.09
3. 357 litres
4. £2.88
5. £54, £280
4.42P
1. 47 cars
2. 49 boxes
3. £251 £12
4. by 122 weeks
5. £501
6. £535
7. £7170
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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ANSWERS: UNIT 3, OUTCOME 4
Outcome 1 Reading scales – Preparation for assessment
4.43A
1. a) 75 b) 502
2. a) sixty three b) three hundred and sixteen
3. a) Stacey b) 4 c) Connor d) Josh and Jack
4.44A
1. 1/4
2. Any 1/6 shaded
3. Any 50% shaded
4. 25%
5. £36
6. £45
4.45A
1.
2.
3.
4.
5.
6.
7.
51
7
46
85
81
65
91
8. 161
9. 854
10. 78
11. 706
12. 167
13. £313
4.46A
1.
2.
3.
4.
5.
6.
7.
7
48
28
4
9
48
748
8. 2636
9. 18
10. 73
11. 6968
12. 93
13. 46
4.47A
1. £168
2. £265 £35
3. £495 £361
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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ANSWERS: UNIT 3, OUTCOME 4
Sample assessment Outcome 4
1. a) 538 b) seventy six
2. a) Dunfermline b) Ayr
3. a) 25% b) any 60% shaded
4. a) ¼ b) any third shaded
5. 9 litres
6. £350
7. £128 £141 November, £13 more
8. 42 weeks
9. 140 bowls
10. £7.50
11. £262
NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS
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ANSWERS: UNIT 3, OUTCOME 4
Sample assessment
Outcome 1
1.
2.
3.
4.
Check line is approx 8 cm long
13 cm
3 kg
Check that 15 has been shaded correctly
Outcome 2
1. a) 5 b) Friday
2. a) Silver b) 7
3. a) Friday b) Tuesday
4. 7 m and 3 m
Outcome 3
1. Table completed with
9
6
11
3
4
3
2. Check graph joined to 4, 6, 12, and 8
3. Check 3 bars at 7, 5 and 2
4. 30 miles and 24 miles added to diagram correctly
Outcome 4
1. a) 249 b) fifty one
2. a) Ardrossan b) Callander
3. a) 50% b) any 80% shaded
4. a) 1/6 b) check ¼ shaded
5. 10 litres
6. £540
7. £130, £137, £7 more in July
8. 35 weeks
9. 140 bowls
10. £149
11. 48 spoonfuls 8 days
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