www.mathsrevision.com
Int 1 Unit1 Homework 1 – Calculator
1.
2
3
Use the + / − button to work out the following:
a) −37 + 29
c) −364 ÷ 14
b) −49 − 13
d) −3060 ÷ 36
e) −23 × 67
f) −43 × 62
Use the buttons on your calculator to work out the following:
a) 6 × ( 7 + 21 )
b) 85 ÷ (3 + 2 )
c) 45 − (15 × 6 )
d) 193 − ( 7 × 15 )
e)
f)
(17 + 34 ) × (56 − 32)
Use the x 2 buttons to work out the following:
b) 122 + 52
d) 6.42 + 5.82
f) 562 − 432
a) 42 + 32
c) 442 + 1082
e) 132 − 122
4
(32 + 64 ) ÷ ( 45 − 39 )
Use the appropriate buttons to work out the following:
a)
c)
e)
(8 + 6 )
(24 + 10 )
(25 − 15 )
2
2
b)
2
2
d)
2
2
f)
( 9 + 12 )
( 75 − 72 )
(52 − 48 )
2
2
2
2
2
2
www.mathsrevision.com
Int 1 Unit1 Homework 2 – Using Percentages
1.
A car costs £4700 cash price.
A firm offers a deal where the car can be bought by paying a
deposit of 35% of the cash price, followed by 24 monthly payments
of £130.
(a) Calculate the deposit.
(b) Calculate the total cost when paying by this method.
(c) How much extra does it cost to pay this way ?
2.
A bank offers interest of 4% per annum to it’s customers on money
deposited with it.
Calculate the interest on £2000 left with the bank for a year
Calculate the interest on £5000 left with the bank for 3 months.
www.mathsrevision.com
Int 1 Unit1 Homework 3 – Area
SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION
1
Calculate the area of each shape:
a) The rectangle.
b) The triangle.
9 cm
8 cm
10 cm
15 cm
2.
Tom has a garage attached to his house. This view shows Tom’s
garage and part of the house. What is the total area of the side of
the garage?
6m
4m
3m
www.mathsrevision.com
Int 1 Unit1 Homework 4 – Proportion formula
1.
A company can buy 40 boxes of notebooks for £102.40.
How much would they pay for 50 boxes of notebooks?
2.
To change temperature from Celsius to Fahrenheit
you can use the formula
F = 1.8C + 32
Change a temperature of 240 C to Fahrenheit.
(i.e. find F when C = 24)
3.
An insurance company charges a premium of £2.56 per £1000 for
contents insurance.
What would be the premium charged to insure contents worth
£22000?
James pays a premium of £38.40.
What is the value of his contents?
www.mathsrevision.com
Int 1 Unit2 Homework 5 – Charts and Graphs
1.
Shown in the table are the favourite programmes of a primary 7
class.
Programme Sonic Hoobs SMart Rugrats Tarzan
Number
5
8
15
3
4
(a) Show this information on a bar chart.
(b) What was the most popular programme?
(c) How many pupils were surveyed?
2.
Shown on the table below are the heights and ages of a group of
pupils.
Height (cm) 135 150 160 165 167
Age (years
7
8
9
10
11
(a) Show this information on a line graph.
(b) What is the trend of the graph.
www.mathsrevision.com
Int 1 Unit2 Homework 6 – Frequency Table & Scatter
1.
Jane drives a taxi. As part of her job she has to record the
mileage of each taxi journey. These are the mileages she recorded
for one day.
8
5
9
6
10
10
8
5
7
4
6
7
10
9
7
9
10
7
3
6
9
8
10
8
9
5
4
9
8
10
a) Organise the data in a frequency table
b) Make a bar chart of the data
2.
Shown below are the Spanish and English test marks for a group of
pupils.
Spanish (%) 48 67 53 88 80 66 51 73 70
English(%)
55 74 60 85 83 70 50 67 78
a) Show this information on a scatter diagram.
b) Draw a bet fit line
c) Estimate the English mark of a pupil who scores 60% in Spanish
www.mathsrevision.com
Int 1 Unit2 Homework 7 – Time
1
Here is part of a television schedule for an afternoon.
1.35 Brainteaser 3729524
2.05 High School Reunion (R) 7374747
3.10 Five News 3538456
3.25 FILM: Columbo Any Old Port in a Storm Drama 6384531
5.10 Play Away 6436472
5.35 Friends 5258621
2.
a)
How long does the programme Brainteaser last for?
b)
How long does the programme Play Away last for?
c)
Peter has 3 hour video cassette.
What start and finish times must he enter to record:
(i) High School Reunion;
(ii) The Film?
How much time will be left on the tape after recording these
two programmes?
Darren and Kelly went on a bus journey.
They left at 9.00am and arrived at 1.25pm.
The bus travelled at an average speed of 90 kilometres per hour.
Calculate:
(i)
How long the journey lasted;
(ii)
The distance travelled.
www.mathsrevision.com
Int 1 Unit2 Homework 8 – DST
1.
Annette travels 616 kilometres to Brighton to meet her cousin.
If the coach takes her 8 hours and 48 minutes, calculate the
average speed of the coach.
2.
Trudy takes the car to a meeting. She has to travel 144 kilometres.
She travels at an average speed of 60 kilometres per hour.
If She leaves home at 10 am, when will she arrive at her
destination?
3.
Air France flight 107 leaves Orly airport in Paris at 14 50 hours.
It arrives in Madrid at 17 26.
If the distance from Paris to Madrid is 1440 kilometres, calculate
the average speed of the plane.
www.mathsrevision.com
Int 1 Unit2 Homework 9 – Integers
1
Add the following integers:
(a)
2
7−4
(b)
(c)
−5 − 3
(c)
−6 + ( −8)
(c)
−11 − ( −4 )
−4 × 8
(c)
−5 × −3
−12
−2
(c)
42
−6
2 −8
8 + ( −2 )
(b)
5 + ( −2 )
6 − ( −2 )
(b)
−7 − ( −9 )
Multiply the following integers:
(a)
6
−7 + 4
Calculate the value of the following:
(a)
5
(c)
−2 + 6
Calculate the value of the following:
(a)
4
(b)
Subtract the following integers:
(a)
3
5+4
7×6
(b)
Divide the following integers:
(a)
36
−4
(b)
www.mathsrevision.com
Int 1 Unit2 Homework 10 – Frequency Tables
1
Add the following integers:
(a)
2
7 + ( −9 )
(c)
−7 + ( − 2 )
3 − ( −5 )
(b)
−4 − ( −1 )
(c)
−5 − ( −8 )
(b)
−5 × ( −7 )
(c)
−32
−8
Calculate:
(a)
4
(b)
Subtract the following integers:
(a)
3
6 + ( −4 )
−3 × 6
A school organises a ski trip each year.
The table shows the number of pupils who go in each year group.
Copy and complete the table.
Age
Frequency Age × frequency
12
9
13
14
15
16
Total
8
13
6
4
12 × 9 =
(a) Calculate the mean age.
(b) What is the mode?
(c) Peter is 14. How does his age compare with
(i) The mode
(ii) The mean
(d) What is the range of ages?
www.mathsrevision.com
Int 1 Unit2 Homework 11 – Pythagoras
1.
Calculate the size of the sides marked a and b.
Correct to 1 decimal place.
(i)
(ii)
b cm
63 cm
44 cm
a cm
65 cm
32 cm
2
A passenger aircraft takes off from an airport.
When it has flown 1 kilometre it is 750 metres from the airport.
What is the height of the aircraft above the ground?
(Correct to 1 decimal place)
xm
1 km
750 m
www.mathsrevision.com
Int 1 Unit2 Homework 12 – Stem and Leaf
1.
The number of gardening magazines sold by a newsagent was
recorded for 12 weeks.
26
22
17
33
28
12
22
38
19
31
24
20
Copy and complete this stem and leaf diagram using the above
information.
Title:
1
2
3
n=
2
1 9 represents
In the last 10 days the number of kilometres travelled by Jane and
John.
Kilometres travelled
John
2
8 7 5 1
9 6 1
8 5
Jane
1
2
3
4
4
1
2
0
6
3 6
3 4 5 8
2
n = 10
n = 12
3 1 represents 31 km
a) What was the highest number of miles travelled?
b) What was the total number of miles travelled by Jane?
c) Level 1 should be read as 12 for John and 14 and 16 for Jane
Write out level 3 in the same way.
www.mathsrevision.com
Int 1 Unit2 Homework 13 – Stem Leaf & Scatter
1.
A school records the age of some staff.
The results are shown below.
25
36
47
28
34
52
41
44
35
33
27
34
Show this information on a stem and leaf diagram.
2.
Shown below are the Spanish and English test marks for a group of
pupils.
Spanish (%) 48 67 53 88 80 66 51 73 70
English(%)
55 74 60 85 83 70 50 67 78
(a) Show this information on a scatter diagram.
(b) Estimate the English mark of a pupil who scores 60% in Spanish
www.mathsrevision.com
Int 1 Unit1 Homework 14 – Hire Purchase
SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION
1
A Digital Camera can be bought for cash or by paying a deposit and
12 monthly payments.
£382 CASH
or £30 DEPOSIT
+12 MONTHLY
PAYMENTS OF
£35
Paul chooses to buy the camera using the second option.
a)
Calculate the cost of all 12 monthly payments
b)
Calculate the total cost of the camera by this method
c)
How much more is the cost if you choose this method of
payment.
2
RU Electric offer the following terms for buying a computer by
instalments.
DEPOSIT 10% OF CASH PRICE PLUS
24 MONTHLY PAYMENTS OF £48
If the cash price of the computer is £1200
Calculate:
a) The deposit;
b) The total cost of paying by installment.
c) The amount saved by paying cash.
3
£1200
CASH
Hayley chooses to buy the car using the following option:
15% DEPOSIT
60 PAYMENTS OF £420
If the cash price of the car is £29 000
Calculate how much she will pay.
£29 000
www.mathsrevision.com
Int 1 Unit1 Homework 15 – Exchange Rates
2.
Country
United States
Currency
Dollars ($)
Rate (per £)
$1.50
Spain
Euros (€)
€1.6
1.
Thomas travels to the United States for his summer holiday.
a)
He changes £200 into dollars.
How many dollars does he get?
b)
He sees a stereo for sale in the United
States for $60.
The same stereo costs £50 in Scotland.
Is the stereo cheaper in the United States?
Three friends travel to Spain for their holiday.
Ian has £100, John has £120 and Neil has £200.
a)
How many euros does Neil get?
b)
How much more euros does John get than
Ian?
www.mathsrevision.com
Int 1 Unit1 Homework 16 – Wages 1
SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION
1.
2
3
4
Jack works as a secretary and earns £15000 a year.
b)
He is paid the same amount each month.
How much did he earn a month?
c)
His annual salary increases by £1200.
monthly pay?
What is his new
Jenny works as a dog groomer. She gets paid £20 for each dog.
a)
How much does she earn when she grooms 6 dogs?
b)
If she grooms 18 dogs, how much will she earn?
Mary works as trucker and earns £6.20 an hour.
(a)
One week she works for 35 hours.
How much did she earn that week?
(b)
Mary can earn extra pay by working overtime.
The overtime rate is time and a half.
How much extra can she earn if she works 5 hours overtime?
Ashley is a double glazing salesperson.
She is paid 6% commission on all her sales.
In one week Ashley sold windows worth £14 000.
Calculate how much commission she earned that week
www.mathsrevision.com
Int 1 Unit4 Homework 17 – Wages 2
1
Graham works 35 hours a week as a baker.
He is paid at a basic rate of £6.80 per hour
a) Calculate his weekly wage.
b) Graham works 8 hours overtime. He is paid at double time.
Calculate how much he is paid for his overtime work.
c) Calculate his total wages for the week
2
Jennifer works a basic 35 hour week selling glasses
She is paid at a basic rate of £5.40 per hour.
On Saturday she works for 4 hours of overtime at time and a half.
On Sunday she works 3 hours at double time.
a) Calculate her basic weekly wage
b) Calculate how much she earned on Saturday
c) Calculate how much she earned on Sunday
d) Calculate her total wages for the week
www.mathsrevision.com
Int 1 Unit2 Homework 18 – Wages 3
1
Copy and complete this wage slip.
Basic Wages Overtime
Bonus
Expenses
£671.509
£66.00
£45.00
£25.45
Income tax
Nat Ins
Superannuation
Other
£160.21
£36.16
£35.41
£1.67
Gross Pay
Total Deductions
Net Wages
2
Copy and complete this wage slip:
Pay
Totals
32 hours at £5.20 per hour
8 hours overtime at time and a half
Bonus
£15.00
Gross Pay
Deductions
Income Tax
£27.45
National Insurance
£10.68
Total Deductions
Net Pay
www.mathsrevision.com
Int 1 Unit2 Homework 19 – Spreadsheet
1
The Thomson Brothers Removal Company has three employees.
The spreadsheet works out their gross pay.
A
1
B
C
D
E
F
Thomas Brothers Wage Bill
2
Employee
Basic
rate
Hours
Basic
Pay
Overtime
Gross
3
D Ferris
£6.00
7
£42.00
£36.25
£78.25
4
S Morris
£6.00
5
£45.32
5
D Eadie
£6.00
6
£61.00
6
Total
a)
The basic pay is calculated from the basic rate and the number of
hours. What formula should go into D3?
b)
The gross pay is worked out using basic pay and overtime
What formula is in F3?
c)
What formulae are entered in (i) D5
d)
Give a suitable formula for F6.
e)
Calculate the basic pay and gross pay for S Morris and D Eadie.
f)
What was the total grass pay for Thomson Brothers Removal
Company ‘s three employees?
(ii) F5