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A P P L I C A T I ON S
MA T H E MA T I C S
P
Higher Still
Intermediate 2
Applications
Practice Unit Test 1
Practice Unit Test 2
Practice Unit Test 3
Answers
2
 Pegasys 2003
Practice Test 1 APP (Int2)
Practice Unit Assessment 1
Applications (Int2)
Outcome 1
Q1.
Tony is paid a basic monthly salary of £450 plus commission of 12% of his total
monthly sales.
Employee Number
Basic Pay
Employee Name
Tony Paterson
Overtime
450.00

Income Tax
Pension
0129
Tax Code
342H
Commission
Gross Pay
National Insurance
Total Deductions
243.70
Month
2
91.80
Net Pay
a.
b.
Q2.
Calculate his gross pay in a month where his sales total £9000.
Tony pays 8% of his salary into a pension fund. He also pays £91.80 National
Insurance and £243.70 Income Tax this month.
Calculate his net pay for this month.
Use the following table to calculate how much tax Martin will pay with an annual
salary of £25,400 and tax allowances of £6235.
Taxable Income (£)
Rates of Tax
Q3.
0 to 4300
Lower Rate 20%
4301 – 27100
Basic Rate 23%
over 27100
Higher Rate 40%
The table below shows the monthly repayments, with and without loan protection,
from the Countrywide Building Society.
Country
Wide
amount
of loan
(£)
1000
2000
3000
5000
without loan
protection
with loan
protection
12
24
12
24
months months months months
92.26
181.52
276.77
451.12
50.51
95.02
151.54
242.26
98.79
193.58
296.38
481.98
55.39
107.58
166.18
264.15
How much a loan of £3000 cost Jamie if he wants to make repayments over 24 months
with loan protection?
 Pegasys 2003
Practice Test 1 APP (Int2)
Outcome 2
Q4.
The network diagram shows routes and distances in kilometres between four places in
France.
ROUEN
300
138
PARIS
347
RENNES
206
153
LE MANS
A tourist leaves Le Mans to drive round the area. He doesn't want to go through any
town more than once and does not need to go back to Le Mans.
a.
Copy and complete the tree diagram to show all the possible routes that the
tourist can take from Le Mans.
153
RENNES
LE MANS
206
b.
Q5.
PARIS
Mark the total length of each route on your tree diagram to help you to find the
shortest distance.
The flowchart is used by a bank to calculate how much they will lend for a mortgage.
START
Age over 40 ?
Yes
Amount = 1½  salary
No
Yes
Partner earning?
Amount = (2 ¾  main salary)
+ (1 ½  partner's salary)
No
Amount = 2¾  salary
No
Is house new?
Loan = 85% of amount
Yes
Loan = 95% of amount
STOP
Use the flowchart to calculate how much they will lend to a woman aged 38 earning
£25 000 whose husband earns £22 000 who want to buy a new house.
 Pegasys 2003
Practice Test 1 APP (Int2)
Q6.
See worksheet
The table shows the number of customers in a supermarket each day for two weeks.
week
1
2
Sun
643
559
Mon
285
293
Tues
271
262
Wed
392
412
Thur
546
559
Fri
859
847
Sat
928
964
a.
Enter this data into the spreadsheet grid on the worksheet.
b.
Write down the formula that you would enter to calculate the total number of
customers for week 2.
c.
Write down the formula that you would enter to calculate the average daily
number of customers over the two week period.
Outcome 3
Q7.
To find how many paving slabs, 2ft  2ft square, he needs for his patio , Mr.Morris
does the following calculation:
multiply the length by the breadth and divide by 4
Find how many slabs Mr Morris would need if his patio was 12 ft long by 10 ft broad.
Q8.
mv 2
is used in Physics.
2g
Calculate E when m = 220, v = 8 and g = 10.
The formula E =
End of Unit Assessment
 Pegasys 2003
Practice Test 1 APP (Int2)
Worksheet for Q6
A
B
C
D
E
F
G
H
1
2
3
4
5
6
 Pegasys 2003
Practice Test 1 APP (Int2)
Practice Unit Assessment 2
Applications (Int2)
Outcome 1
Q1.
Angela is paid a basic monthly salary of £520 plus commission of 10% of her total
monthly sales.
Employee Number
Basic Pay
Employee Name
Angela Smith
Overtime
520.00

Income Tax
Pension
0214
Tax Code
351H
Commission
Gross Pay
National Insurance
Total Deductions
206.90
Month
11
82.20
Net Pay
a.
b.
Q2.
Calculate her gross pay in a month where her sales total £8500.
Angela pays 9% of her salary into a pension fund. She also pays £82.20 National
Insurance and £206.90 Income Tax this month.
Calculate her net pay for this month.
Use the following table to calculate how much tax David will pay with an annual
salary of £27,200 and tax allowances of £8135.
Taxable Income (£)
Rates of Tax
Q3.
0 to 4300
Lower Rate 20%
4301 – 27100
Basic Rate 23%
over 27100
Higher Rate 40%
The table below shows the monthly repayments, with and without loan protection,
from the Countrywide Building Society.
Country
Wide
amount
of loan
(£)
1000
2000
3000
5000
without loan
protection
with loan
protection
12
24
12
24
months months months months
92.26
181.52
276.77
451.12
50.51
95.02
151.54
242.26
98.79
193.58
296.38
481.98
55.39
107.58
166.18
264.15
How much a loan of £2000 cost Jamie if he wants to make repayments over 12 months
without loan protection?
 Pegasys 2003
Practice Test 1 APP (Int2)
Outcome 2
Q4.
The network diagram shows routes and distances in kilometres between four places in
France.
RENNES
245
347
PARIS
595
BREST
384
298
NANTES
A tourist leaves Nantes to drive round the area. He doesn't want to go through any town
more than once and does not need to go back to Nantes.
a.
Copy and complete the tree diagram to show all the possible routes that the
tourist can take from Nantes.
298
BREST
NANTES
384
b.
Q5.
PARIS
Mark the total length of each route on your tree diagram to help you to find the
shortest distance.
The flowchart is used by a bank to calculate how much they will lend for a mortgage.
START
Age over 40 ?
Yes
Amount = 1½  salary
No
Yes
Partner earning?
Amount = (2 ¾  main salary)
+ (1 ½  partner's salary)
No
Amount = 2¾  salary
No
Is house new?
Loan = 85% of amount
Yes
Loan = 95% of amount
STOP
Use the flowchart to calculate how much they will lend to a man aged 35 earning
£21 000 whose wife earns £20 000 who want to buy an old house.
 Pegasys 2003
Practice Test 1 APP (Int2)
Q6.
See worksheet
The table shows the number of customers in a supermarket each day for two weeks.
week
1
2
Sun
321
280
Mon
142
146
Tues
136
131
Wed
196
206
Thur
273
279
Fri
430
424
Sat
464
482
a.
Enter this data into the spreadsheet grid on the worksheet.
b.
Write down the formula that you would enter to calculate the total number of
customers for week 2.
c.
Write down the formula that you would enter to calculate the average daily
number of customers over the two week period.
Outcome 3
Q7.
To find how many paving slabs, 2ft  2ft square, he needs for his patio , Mr.Geddes
does the following calculation:
multiply the length by the breadth and divide by 4
Find how many slabs Mr Morris would need if his patio was 8 ft long by 6 ft broad.
Q8.
mv 2
is used in Physics.
2g
Calculate E when m = 110, v = 4 and g = 10.
The formula E =
End of Unit Assessment
 Pegasys 2003
Practice Test 1 APP (Int2)
Worksheet for Q6
A
B
C
D
E
F
G
H
1
2
3
4
5
6
 Pegasys 2003
Practice Test 1 APP (Int2)
Practice Unit Assessment 3
Applications (Int2)
Outcome 1
Q1.
Simon is paid a basic monthly salary of £570 plus commission of 12% of her total
monthly sales.
Employee Number
Basic Pay
Employee Name
Simon Waters
Overtime
570.00

Income Tax
Pension
0198
Tax Code
343H
Commission
Gross Pay
National Insurance
Total Deductions
242.50
Month
5
88.20
Net Pay
a.
b.
Q2.
Calculate his gross pay in a month where his sales total £7500.
Simon pays 7% of his salary into a pension fund. He also pays £88.20 National
Insurance and £242.50 Income Tax this month.
Calculate his net pay for this month.
Use the following table to calculate how much tax David will pay with an annual
salary of £29,100 and tax allowances of £6465.
Taxable Income (£)
Rates of Tax
Q3.
0 to 4300
Lower Rate 20%
4301 – 27100
Basic Rate 23%
over 27100
Higher Rate 40%
The table below shows the monthly repayments, with and without loan protection,
from the Countrywide Building Society.
Country
Wide
amount
of loan
(£)
1000
2000
3000
5000
without loan
protection
with loan
protection
12
24
12
24
months months months months
92.26
181.52
276.77
451.12
50.51
95.02
151.54
242.26
98.79
193.58
296.38
481.98
55.39
107.58
166.18
264.15
How much a loan of £5000 cost Jamie if he wants to make repayments over 24 months
with loan protection?
 Pegasys 2003
Practice Test 1 APP (Int2)
Outcome 2
Q4.
The network diagram shows routes and distances in kilometres between four places in
France.
LE MANS
185
142
ORLEANS
309
NANTES
114
200
TOURS
A tourist leaves Tours to drive round the area. He doesn't want to go through any
town more than once and does not need to go back to Tours.
a.
Copy and complete the tree diagram to show all the possible routes that the
tourist can take from Tours.
200
NANTES
TOURS
114
b.
Q5.
ORLEANS
Mark the total length of each route on your tree diagram to help you to find the
shortest distance.
The flowchart is used by a bank to calculate how much they will lend for a mortgage.
START
Age over 40 ?
Yes
Amount = 1½  salary
No
Yes
Partner earning?
Amount = (2 ¾  main salary)
+ (1 ½  partner's salary)
No
Amount = 2¾  salary
No
Is house new?
Loan = 85% of amount
Yes
Loan = 95% of amount
STOP
Use the flowchart to calculate how much they will lend to a woman aged 32 earning
£18 000 whose husband earns £17 000 who want to buy a new house.
 Pegasys 2003
Practice Test 1 APP (Int2)
Q6.
See worksheet
The table shows the number of customers in a supermarket each day for two weeks.
week
1
2
Sun
481
420
Mon
212
219
Tues
196
197
Wed
286
309
Thur
303
418
Fri
645
636
Sat
696
723
a.
Enter this data into the spreadsheet grid on the worksheet.
b.
Write down the formula that you would enter to calculate the total number of
customers for week 2.
c.
Write down the formula that you would enter to calculate the average daily
number of customers over the two week period.
Outcome 3
Q7.
To find how many paving slabs, 2ft  2ft square, he needs for his patio , Mr.Raeburn
does the following calculation:
multiply the length by the breadth and divide by 4
Find how many slabs Mr Morris would need if his patio was 16 ft long by 12 ft broad.
Q8.
mv 2
is used in Physics.
2g
Calculate E when m = 160, v = 6 and g = 10.
The formula E =
End of Unit Assessment
 Pegasys 2003
Practice Test 1 APP (Int2)
Worksheet for Q6
A
B
C
D
E
F
G
H
1
2
3
4
5
6
 Pegasys 2003
Practice Test 1 APP (Int2)
Answers
APP (Int2)
Practice Unit Assessment 1
Practice Unit Assessment 2
1.
1.
2.
3.
4.
5.
6.
7.
8.
a.
£1530
b.
£1072.10
£4278.95
£988.32
a.
tree diagram
b.
591 km (Le Mans Rennes
– Rouen – Paris)
£96662.50
a.
spreadsheet
b.
SUM (B3 : H3) or
appropriate cells
c.
AVERAGE (B2 : H3) or
appropriate cells
30
704
2.
3.
4.
5.
6.
7.
8.
a.
£1370
b.
£957.60
£4255.95
£178.24
a.
tree diagram
b.
890 km (Nantes Brest
– Rennes – Paris)
£74587.50
a.
spreadsheet
b.
SUM (B3 : H3) or
appropriate cells
c.
AVERAGE (B2 : H3) or
appropriate cells
12
88
Practice Unit Assessment 3
1.
2.
3.
4.
5.
6.
7.
8.
a.
£1470
b.
£1036.40
£5077.05
£1339.60
a.
tree diagram
b.
441 km (Tours Orleans
– Le Mans – Nantes)
£71250
a.
spreadsheet
b.
SUM (B3 : H3) or
appropriate cells
c.
AVERAGE (B2 : H3) or
appropriate cells
48
288
 Pegasys 2003
Practice Test 1 APP (Int2)