NATIONAL QUALIFICATIONS CURRICULUM SUPPORT
Mathematics
Using Mathematics in Everyday
Situations 1:
Number
[ACCESS 3]
The Scottish Qualifications Authority regularly reviews
the arrangements for National Qualifications. Users of
all NQ support materials, whether published by
Learning and Teaching Scotland or others, are
reminded that it is their responsibility to check that the
support materials correspond to the requirements of the
current arrangements.
Acknowledgement
Learning and Teaching Scotland gratefully acknowledges this contribution to the National
Qualifications support programme for Mathematics.
© Learning and Teaching Scotland 2010
This resource may be reproduced in whole or in part for educational purposes by educational
establishments in Scotland provided that no profit accrues at any stage.
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
Contents
Introduction
4
Questions
5
End-of-topic test
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
20
3
STUDENT WORKBOOK – NUMBER
Student Workbook – Number
Introduction to the resource for teachers
These notes are designed to supplement the PowerPoint presentations
and student workbooks that support the Measure, Number, Money and
Information Handling topics within the unit entitled Using Mathematics
1 at Access 3 level.
Alongside each PowerPoint presentation is a student workbook that
should be completed by students while they are progressing through the
PowerPoint.
The PowerPoint presentations can be delivered as a whole -class activity
with the students completing their work as a group, or they c an be used
by individuals or small groups if ICT access allows. Be aware that a
greater level of literacy is required for some slides, which could
determine the most suitable approach to learning for some students.
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
Questions
1.
2.
Complete the following addition questions.
(a)
47
+32
(b)
96
+51
(c)
22
+49
(d)
35
+68
(e)
18
+27
(f)
52
+21
(g)
78
+36
(h)
29
+89
Rewrite these sums in the same layout as above and complete.
(a)
26+45
(b)
33+51
(c)
66+45
(d)
48+14
(e)
17+52
(f)
82+11
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
3.
4.
6
Complete the following subtraction questions.
(a)
47
– 32
(b)
88
– 17
(c)
63
– 61
(d)
53
– 22
(e)
96
– 74
(f)
73
– 51
(g)
35
– 12
(h)
28
– 13
Rewrite these sums in the same layout as above and complete.
(a)
22–13
(b)
55–42
(c)
67–26
(d)
43–37
(e)
61–39
(f)
72–43
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
5.
(a)
Ashley’s wage last year was £305 per week.
This year she has been given a £15 per week
pay rise.
How much does she now earn per week?
(b)
A band is playing four gigs at the Barrowlands.
Here is a list of the number of tickets that
they have sold for each night.
Thursday
Friday
Saturday
Sunday
503
680
700
650
How many tickets have they sold in total?
(c)
Susan weighs out ingredients to bake a birthday cake.
Flour
Sugar
Butter
Dried fruit
200
125
50
75
g
g
g
g
What is the total weight of all of these ingredients?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
6.
(a)
John goes to the shop to buy some fruit for his
school lunches. He has £2 and he buys a
banana, a kiwi, a peach, an orange and a box
of grapes. Look at the price list below and
calculate how much money John has left over.
Apple
Banana
Orange
Peach
Kiwi
Melon
Grapes
8
14p
20p
15p
35p
17p
99p
88p
(b)
Pamela received £100 of vouchers for John
Lewis. She buys a kettle for £35 and a toaster
for £25. How much money does she have left
over?
(c)
Louise handed the cashier four £5 notes to
pay for a £9 mascara and a £6.50 eye
shadow. Does she have enough money left
over to buy a £5 lipstick?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
7.
(a)
Gavin is travelling from Birmingham
to Glasgow to visit his niece and
nephews, a 470-kilometre journey. He
stops after 236 kilometres to refuel.
How many kilometres does he still
have to travel?
(b)
Aidan would like to purchase a new Xbox
360, which costs £190. For his birthday he
received £60 from his parents, £20 from both
sets of grandparents and £15 from his
brother. How much more money does he
need to save to buy the Xbox?
(c)
Hannah’s father has said he will buy her a
new car if she reaches a score of 320 in her
four final exams. She gets 85 for maths, 80
for French, 80 for chemistry. What will she
need to score in English to reach the target?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
8.
9.
10
Complete the following multiplication questions.
(a)
47
× 2
(e)
65
× 6
(b)
(f)
52
× 8
(c)
21
× 4
(d)
39
× 5
72
(g)
17
(h)
34
× 5
× 8
× 3
Rewrite these sums in the same layout as above and complete.
(a)
13×5
(b)
61×6
(c)
52×9
(d)
36×8
(e)
82×4
(f)
71×2
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
10.
11.
(a)
Jasper goes swimming five times a week. Each
time he goes swimming it costs him £2.30.
How much does it cost Jasper to go
swimming each week?
(b)
Chantal will be travelling to France to visit her
relatives. She has booked eight French lessons to
practice the language before she goes. Each
lesson costs £16. How much will Chantal spend
on French lessons?
(c)
Samantha spends 3 hours cleaning her house every day
except Sundays, when she cleans for 5 hours.
How many hours does she spend cleaning every
week?
(a)
If the fishmonger buys 12 whole salmon from the
fisherman and each whole salmon costs £14, what will
be the total price of the salmon?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
12
(b)
If a 1Gb iPod holds a maximum of 360
songs, how many songs would a 16Gb
iPod hold?
(c)
The school bus travels 18 miles each day.
How many miles will the bus have travelled
after 20 days?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
12.
(a)
6
(b)
90
(e)
3
13.
5
(c)
4
250
(f)
45
7
(d)
68
9 144
(g)
112
2
(h)
42
8 88
Rewrite these sums in the same layout as above and complete.
(a)
36÷3
(b)
60÷4
(c)
96÷8
(d)
105÷7
(e)
99÷9
(f)
80÷5
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
14.
14
(a)
Joe the joiner earned £3040 for 4 weeks’ work.
How much did he earn each week?
(b)
Seven bananas cost £1.40. How much does one
banana cost?
(c)
A large jug can hold 2080 ml of juice. The
juice has to be shared between eight children.
How much juice will each child get?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
15.
(a)
A furniture company has received 540 orders
to be delivered in the 12 weeks running up to
Christmas. How many deliveries will they have
to make each week
(b)
A group of 16 friends are going away for the
weekend to a country house hotel. The
accommodation is going to cost a total of
£1920. How much will each person have to
pay?
(c)
A salesman receives a bonus of £75 for each
product that he sells. At the end of the year he
receives a total bonus of £6300. How many
products did he sell that year?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
16.
(a)
24 school children were on a school trip
and stopped at an Italian restaurant for
some lunch. A quarter of the children
chose spaghetti bolognese for their
lunch. How many children had spaghetti
bolognese?
(b)
In a class of 32 school children, ⅛ of the
children received an A grade in their
Higher music exam. How many children
received a grade A?
(c)
A clothing factory produces 525 suits per
week. Due to a problem with the sewing
machines1/5 of the suits are faulty.
How many suits will have to be remade?
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
17.
(a)
(b)
(c)
A bus can seat 52 people. 154 people have to
travel by bus to a national conference.
(i)
How many full buses are needed to take
people to the conference?
(ii)
How many people travel on the last bus?
The brass band are holding a concert at the
school. The school has 310 chairs. The brass
band requires 32 chairs and the remaining
chairs will be laid out in rows of 15.
(i)
How many full rows of 15 can be lay out?
(ii)
How many chairs will be left over?
A mother buys a box of nappies at the local
supermarket. The box contains 102 nappies.
The baby usually uses seven nappies a day.
(i) How many full days will the nappies last
for?
(ii) How many nappies will be left over after this number of
days?
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
18.
(a)
Write the following numbers in words.
(i)
3928
_____________________________________________
(ii)
8473
_____________________________________________
(iii) 1822
_____________________________________________
(iv) 2933
_____________________________________________
(v)
9994
_____________________________________________
(b)
Write the following in figures
(i)
Two thousand and three
_____________________________
(ii)
Eight thousand two hundred
__________________________
(iii) Six thousand four hundred and twelve
__________________
(iv) One thousand and twenty seven
_______________________
(v)
Five hundred and sixty six
___________________________
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
(c)
From the following sentences, write the numbers in figures.
(i)
Charlie bought a Mercedes for twelve thousand six
hundred and twenty pounds.
_____________________________________________
(ii)
The highest waterfall in the world is Angel Falls. It is
seven hundred and forty five metres high.
_____________________________________________
(iii) Jim won nine thousand and twenty five pounds in the
lottery.
_____________________________________________
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
End-of-topic test
1.
Francis is going to make her mum spaghetti bolognese. She needs
500 g mince
100 g onion
75 g carrot
75 g celery
300 g tomatoes.
What is the total weight of the ingredients?
2.
Dominic won £1200 in a prize draw. He bought
a 56 inch plasma television for £1084. How
much money does he have left?
3.
There are 230 people on a flight to New York.
113 people order the sweet and sour chicken
for dinner, 83 people ordered the salmon
salad and the rest had beef ravioli.
How many people had the ravioli?
4.
A farmer has six fields, each with 47 sheep in
them. How many sheep does he have in total?
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
STUDENT WORKBOOK – NUMBER
5.
A golfer scored a total of 294 shots over a 4-day
game. He had the same number of shots each day.
How many shots did he have each day?
6.
There are 1200 people at a secondary school. A third
of the students have blonde hair. How many
students do not have blonde hair?
7.
Elaine buys a racing bike for £865 and pays by cheque. Write th is
number in words as it would appear on the cheque.
______________________________________________________
USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010
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STUDENT WORKBOOK – NUMBER
8.
Highland Spring sell 7982 bottles of water
everyday. How many bottles will they sell in May?
9.
There are 15 people in a syndicate for the national
lottery and they win £45,000. How much will each
person receive?
10.
A clothing factory packages its T-shirts into boxes
of eight. In one day, the factory produced 702 Tshirts. If they were all packed into boxes, how
many would be left over?
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USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS)
© Learning and Teaching Scotland 2010