Homework Sheet 1 (Covering YG1)
1) Evaluate each of the following
a) −3 + 5
b) 4 − 7
c) −4 − 3
d) −5 + 3
e) 2 + (−4)
f) 2 − (−1)
g) −5 + (−5)
h) 9 − 15
j) −12 − 16
k) −3 − (−5)
l) −33 − 66
i)
−4 − (−3)
2) When an aircraft leaves Prestwick Airport the outside temperature is 12˚C.
As the aircraft climbs to 10000m above sea level, the outside temperature
drops to -50˚C. By how much did the temperature fall?
3) A lorry is carrying 245 crates of Irn Bru. If
each crate contains 12 bottles, how many
bottles of Irn Bru is the lorry transporting in
total?
4) Six people share a lottery prize of £2274.
If the money is shared equally between all
six people, how much will each person
receive?
5) Round each of these to the stated number of decimal places (d.p)
a) 3 ∙ 1415(3 𝑑. 𝑝)
b) 14 ∙ 4721 (1 𝑑. 𝑝)
c) 0 ∙ 099 (2 𝑑. 𝑝)
6) Round each of these to the stated number of significant figures (s.f)
a) 48765 (2 𝑠. 𝑓)
b) 16 ∙ 55 (3 𝑠. 𝑓)
c) 0 ∙ 00345 (1 𝑠. 𝑓)
Homework Sheet 2 (Covering YG2)
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1) If 𝑝 = 6 and 𝑞 = 3, evaluate each of the following:
a) 𝑝 + 𝑞
2) Given that
b) 𝑝𝑞
𝑅=
𝑒−𝑑
𝑔
c) 2𝑝𝑞
d) 2𝑞 2
, find R when 𝑒 = 36, 𝑑 = 19 and 𝑔 = 2.
3) Expand each of the following expressions:
a) 2(𝑥 + 3)
b) 5(3𝑦 − 1)
c) 10(2 + 3𝑝)
4) Expand and simplify for each of the following expressions:
a) 2(𝑦 + 4) + 3
b) 3(2𝑥 + 𝑦) − 𝑥
d) 4(𝑥 + 1) + 2(𝑥 + 3)
c) 3 + 2(𝑥 + 1)
e) 5(𝑚 + 𝑛) + 2(2𝑚 − 𝑛)
5) Factorise each of the following expressions:
a) 3𝑥 + 9
b) 4𝑦 − 12
c) 16 − 24𝑐
Homework Sheet 3 (Covering YG3.1 and YG3.2)
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1) Using 𝜋 = 3 ∙ 14, find the circumference of each of these circles:
a)
b)
7cm
5m
2) Using 𝜋 = 3 ∙ 14, find the area of each of these shapes:
a)
b)
c)
3cm
10cm
4m
3) Find the perimeter of each of these shapes:
a)
b)
13cm
16cm
20cm
10cm
4) The perimeter of the following rectangle is 84m. Work out the missing length.
17m
x
x
Homework Sheet 4 (Covering YG3.3 And YG3.4)
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1) Calculate the area of each of the following shapes:
a)
b)
8m
8cm
14cm
c)
d)
10cm
6cm
8cm
14cm
e)
14m
8m
10m
6cm
2) Calculate the volume of each of the following shapes:
a)
b)
3cm
cube
4cm
6cm
5cm
3)
The volume of this cuboid is 3600cmᵌ.
H cm
12cm
15cm
Homework Sheet 5 (Covering YG4.1 to YG4.3)
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1) Evaluate each of the following:
a)
d)
1
1
𝑜𝑓 £64
4
1
𝑜𝑓 365𝑐𝑚
5
b) 3 𝑜𝑓 57𝑘𝑔
1
1
c) 2 𝑜𝑓 £99
1
e) 10 𝑜𝑓 230
f) 10 𝑜𝑓 £125
2) Calculate:
1
a) 50% 𝑜𝑓 £26
b) 33 3 % 𝑜𝑓 72
c) 25% 𝑜𝑓 928
d) 10% 𝑜𝑓 130
e) 20% 𝑜𝑓 £90
f) 10% 𝑜𝑓 265
3) A television priced £420 is on offer in a
1
sale. With a discount of 33 3 %, how
much will the television be?
4) A restaurant bill is £145. If a 10%
service charge is added to the bill, what
will be the total cost of the meal?
5) Fill in the blanks:
Percentage
50%
Fraction
1
2
Decimal
0∙5
25%
1
10
0∙2
Homework Sheet 6 (Covering YG4.4)
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1) On average, Mr Kane sends out 20
homework letters per month. If he
continues to send out letters at this
rate, how many will Mr Kane send in
a year?
2) Mr Gallacher plays 3 rounds of golf per week. If he continues to play at this
rate, how many rounds of golf will Mr Gallacher play in a year?
3) If the exchange rate of Sterling to US
Dollars is £1 = $1 ∙ 51, how many
dollars will Mr Coyle receive if he
exchanges £500?
4) If 4 oranges cost 96p, how much will 5 oranges cost?
5) If 6 Mars bars cost £3 ∙ 90, find the cost of 4 Mars bars?
Homework Sheet 7 (Covering YG6)
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1) A train travels 630 miles in 9
hours.
Calculate the average speed of
the train in miles per hour.
2) Calculate the average speed of a van which travels 12 miles in 15 minutes.
3) Miss Dunsmuir jogs at 5km/hr
for 3 hours. How far did she
travel?
4) What distance would Mr Marsden travel if he ran at 7mph for 2 hours and 30
minutes?
5) A plane leaves Glasgow
Airport at 2.30pm and arrives
in Rome at 6.10pm.
How long did the flight take?
6) BA Flight 288 left Heathrow Airport at 1435 on Saturday and arrived in
Arizona at 0020 (British Time) on Sunday Morning. How long was the flight?
Homework Sheet 8 (Covering YG5)
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1) People were asked to name their favourite holiday destination and the
results were as follows:
America
Spain
America
Spain
Spain
America
Spain
Italy
Spain
Britain
America
Spain
Italy
Britain
Spain
America
Spain
France
France
America
Spain
Spain
Britain
Spain
Britain
America
America
France
France
Britain
a) Copy and complete the following frequency table:
Country
America
Britain
France
Italy
Spain
Tally
Frequency
b) On the grid below, use your frequency table and a ruler to draw a
neat, labelled bar chart.
Calderglen High School – Mathematics Department
Block G
2) The number of passengers travelling by bus from Glasgow to
Edinburgh was recorded for 20 journeys:
29 45 36 27 41 38 14 48 31 39
24 17 23 34 29 38 42 12 32 36
Display this information in an ordered stem and leaf diagram.
3) The results of a “How do you travel to school” survey are shown
below.
12
15
9
15 out of the 36 pupils asked say they walk to
school.
Calculate the size of the angle for this sector.
Calderglen High School – Mathematics Department
Block G
Yellow
Home Learning
Name
Calderglen High School – Mathematics Department
Block G