C
Mathematics
Stonelaw High School
Home Learning
Blue Course
Page 1
Homework 1 – Negative Numbers (1)
1.
Put these numbers in order, smallest first:-
a)
2, 1, – 5, 4, 0, – 3
2.
Write down the temperature which is:-
a)
12oC higher than – 8oC
3.
The following table shows how the temperature changed during a 24 hour
period. Copy the table and fill in the temperatures in the bottom row.
Time
b)
– 3∙7, – 2∙9, – 4∙1, – 4, – 3∙1
4oC lower than – 2oC
8am 10am 12am
2pm
4pm
6pm
8pm
10pm 12pm
3oC
– 2oC
– 4oC
– 5oC
– 3oC
– 2oC
Fell/Rose by
New
Temperature
b)
9oC
4oC
12oC
Homework 2 – Negative Numbers (2)
1.
Copy and complete the following:-
a)
5 + (– 4)
b)
7 – 12
c)
–5+8
d)
– 9 + (– 6)
e)
–6–5
f)
– 3 – (– 8)
2.
Copy and complete the following:-
a)
5 × (– 4)
b)
7 × 12
c)
–5×8
d)
– 9 × (– 6)
e)
–6×5
f)
– 3 × (– 8)
3.
Copy and complete the following:-
a)
35 ÷ (– 7)
b)
– 72 ÷ 4
c)
– 55 ÷ (– 5)
d)
– 32 ÷ (– 8)
e)
– 60 ÷ 10
f)
– 49 ÷ (– 7)
– 1oC
Page 2
Homework 3 - Multiples and Factors
1. From the list below give all the numbers which are:
2, 3, 6, 7, 23, 25, 26, 28, 31, 35, 37, 39, 40, 43, 45, 46, 47, 49, 50.
2.
a) multiples of 3
b) multiples of 4
c) multiples of 5
d) prime numbers
Find the lowest common multiple (L.C.M.) of each of the following
numbers.
a) 3 and 4
3.
4.
b) 6 and 8
c) 3, 4 and 5
Write down all the factors of each of the following numbers.
a) 4
b) 8
c) 10
d)
15
e) 20
f)
g) 33
h)
45
24
Find the highest common factor (h.c.f.) of each of the following pairs of
numbers.
a) 8 and 12
b) 15 and 20
c) 35 and 49
Homework 4 – Prime Numbers
1.
Find all the prime factors of the numbers shown below.
a) 30
b) 54
c) 64
d) 24
2. Express each of the following as a product of prime factors
a) 108
b) 105
c) 162
d) 63
Page 3
Homework 5 – Rounding (1)
1.
Round the following to the nearest 10:a) 387
2.
e) 4235
f)
3674
Round the following to the nearest 1000:g) 5, 643
4.
c) 655
Round the following to the nearest 100:d) 456
3.
b) 91
h) 16, 061
i)
21, 351
Round each of the following numbers correct to the number of decimal places
given in the brackets.
a) 16∙347 (1)
b) 141∙8257 (2)
c) 2∙376 (2)
d) 0∙0491 (2)
e) 8∙7654 (2)
f)
g) 56∙99 (1)
h) 7∙2964 (2)
87∙3946 (1)
Homework 6 – Rounding (2)
1.
2.
Write down the number of significant figures in each of the following numbers.
a) 1∙897
b) 16∙000
c) 3124∙890
d) 3461∙331
e) 1412∙900
f)
g) 0∙0049
h) 0∙000370
1589∙030
Round each of the following correct to 3 significant figures.
a) 358∙215
b) 726∙209
c) 8∙00973
d) 4901∙82
e) 300∙1862
f)
g) 1689∙139
h) 438∙593
1821∙591
Page 4
Homework 7 – Fractions (1)
1.
Calculate:a)
2.
+ 3/5
b)
5/
8
+ 3/5
× 1/3
b) 8/9 × 3/5
÷ 1/4
b)
c)
5/
6
– 4/9
d)
5/
9
– 1/4
Find
a)
3.
2/
3
1/
2
Find
a)
5/
8
11/
12
÷ 2/5
Homework 8 – Fractions, Decimals & Percentages
1. Change the following percentages into fractions.
a) 45%
b) 36%
c) 95%
d) 96%
e) 78%
d)
e)
2. Change the following fraction to percentages.
a)
7/
25
b)
3/
20
c)
7/
10
1/
3
34/
50
3. Copy and complete the table below, putting the fractions in the simplest form.
Fraction
Decimal
Percentage
½
0.45
1/
3
0.05
24%
Page 5
Homework 9 – Mixed Numbers (1)
1.
Convert the following mixed numbers to top heavy fractions and vice versa.
a) 5 2/3
e)
2.
35/
6
b) 10 1/2
f)
77/
9
c) 8 2/7
g)
43/
6
d) 9 1/4
h)
49/
8
Find:a) 3 2/5 + 4 3/4
b) 1 2/3 + 4 1/2
c) 5 3/5 – 2 2/3
d) 4 1/2 - 1 2/3
Homework 10 – Mixed Numbers (2)
1.
Calculate:a)
2 1/2 x 1 1/5
c) 3 3/4 ÷ 1 2/3
2.
b) 3 4/5 x 3 2/7
d) 10 2/5 ÷ 2 3/8
Read the following problems and answer the questions simplifying where
possible.
a)
An electrician had 6 1/2 metres of cable to complete two jobs.
He used 1 5/6 metres on the first job.
How much did he have left to complete the second job?
b)
I set off on Saturday morning on my bike.
I travelled 5 3/4 miles before I had a short break.
I then continued my journey for another 7 2/3 miles before turning back.
How far away from home was I before I turned round to head home?
Page 6
c) A 4 1/2 metre plank of wood weighs 15 2/3 kgs.
i)
What does a one metre length if the plank weigh?
ii) What is the weight of 6 ¼ metres of the same type of wood?
d) Tommy ran round the school track for 12 3/4 minutes.
In that time he ran 5 1/2 laps. What was his average time per lap?
e) John and his five friends had a party but they ordered too much pizza.
In total they ordered five large pizzas that were all cut into different portion
sizes.




One pizza had been cut into eight with three pieces were left.
Two pizzas were cut into six pieces with two pieces from each left
over.
The fourth pizza had only one twelfth left over.
The final pizza was left untouched.
How much pizza was left over at the end of the party?
Homework 11 – Drawing 2D Shapes
1.
Using only a ruler and a set of compasses draw accurately a triangle with sides
of size 3cm, 4cm and 5cm.
2.
Using a ruler and a protractor draw accurately the triangle sketched below
5 cm
38°
7 cm
Page 7
Homework 12 – Drawing 2D Shapes and Calculating Area
1.
Using only a ruler and a set of compasses draw accurately the kite shown
below
5 cm
6 cm
7 cm
2.
Find the area of each shape shown below.
a) Rhombus
4 cm
6 cm
b) Parallelogram
15 mm
10 mm
c) Trapezium
3∙5 m
1∙5 m
2∙5 m