B
Mathematics
Stonelaw High School
Home Learning
Blue
Course
Homework 1 – Length and Area 1
1.
How many millimetres are there in:a) 6 cm
2.
b) 5.2 cm
c) 0.8 cm
Using a ruler measure and write down the length and breadth of each of
the rectangles in millimetres. Then calculate the perimeter of each
rectangle, showing all working.
breadth
A
breadth
B
length
length
3.
Floorboards are 83 mm wide.
83 mm
What is the width of 8 floorboards?
4.
This road sign gives the distance from Alton
to various towns along the B57 road.
How many miles is it from:a)
Alton to Dunby?
b)
Bolton to Credar?
c)
Credar Dunby?
1
B57 (miles)
Bolton
Credar
Dunby
Elgar
Rye
9
22
26½
35
46
Homework 2 – Length and Area 2
1.
Using a ruler, make a neat sketch of each shape shown below (not full
size). Calculate the area of each shape, showing all working.
Start each example by using the formula 𝐴 = 𝑙𝑏 and don’t forget
units.
8m
a)
7 cm
b)
4m
2.
7 cm
Using a ruler, make a neat sketch of the shape shown below (not full
size).
14 cm
x cm
6 cm
A
B
4 cm
20 cm
a) What is the value of x?
b) Calculate the areas of rectangles A and B, showing all working.
c) Calculate the total area for the composite shape, showing all
working.
8m
3.
The composite shape shown is made
up from two rectangles.
Calculate its area, showing all
working.
8m
24 m
12 m
2
Homework 3 – Length and Area 3
1.
The composite shape
shown is made up from
three rectangles.
100 mm
70 mm
Calculate its area, showing
all working.
20 mm
2.
80 mm
20 mm
Using a ruler, make a neat sketch of the right angled triangles shown
1
below. Start each example by using the formula 𝐴 = 2 𝑏ℎ and don’t
forget units.
a)
8m
b)
9m
7 cm
26 cm
3.
The composite shape shown below is made up from one rectangle and
two identical
right angled
triangles cut
from the
6 cm
rectangle.
12 cm
6 cm
25 cm
Calculate the shaded area, showing all working.
3
Homework 4 – Long Multiplication
1. Find:
a) 456 x 52
b) 923 x 71
c) 319 x 48
d) 893 x 23
e) 156 x 85
f) 275 x 74
Homework 5 – Long Division
1. Find:
b) 276 ÷ 23
b) 660 ÷15
c) 391 ÷ 17
d) 3328 ÷ 26
e) 2925 ÷ 13
f) 2208 ÷32
Homework 6 – More multiplying and dividing
1. Find the answers to the following without using a calculator.
a) 0.32 × 10
b)
9 857 × 100
c)
12.832 × 1000
d) 79.809 × 300
e)
584 × 40
f)
0.00769 × 5000
2. Find the answers to the following without using a calculator.
a) 99.2 ÷ 10
b)
1094.3 ÷ 1000
c)
1765.2 ÷ 100
d) 189 800 ÷ 2000
e)
3.663 ÷ 90
f)
121.84 ÷ 400
4
Homework 7 – Circles
1.
For the circles shown below write down the size of the diameter and the
radius.
a)
b)
7.4 cm
2.
c)
For each of the circles shown below calculate the size of the
circumference, showing all working.
a)
b)
c)
20 cm
3.
2.6 cm
68.4 mm
32 mm
A circle has a circumference of 628 mm.
Calculate the diameter of this circle.
5
15 cm
Homework 8 – Volume and Surface Area
1.
Calculate the volumes of the following cuboids. (remember the units!)
3m
15cm
9cm
4.2m
m
10.5m
11cm
2.
How many millilitres are there in :a) 1 litre
3.
b) ½ litre
c) ¼ litre
d) ¾ litre
e) 1/5 litre ?
a) Calculate the volume of
this cuboid in millilitres
20ml
25ml
40ml
b) Now change your answer to litres.
4.
A lady had oil delivered for her central heating tank when the tank was
empty.
a) If the tank were filled to
the top, how much oil
would it hold?
OIL
TANK
b) If oil costs £0.80 per litre,
calculate the cost of filling
the tank.
40cm
50cm
60 cm
6
Homework 9 – Decimals 1
1.
2.
Copy and complete the following, showing all working:a) £2.45 + £1.36
b) £3.65 + 75p
c) 82p + £1.42
d) 1.72m – 1.26m
e) 4.31m – 0.45m
f) 1.34m – 62cm
I bought two copies of “Computer Monthly” at £4.85 each and one copy
of the “Glasgow Herald” at 70p.
How much change did I receive from a £20 note? (Show all working)
3.
Calculate the perimeter of this shape, showing all working.
1.62 m
1.48 m
58 cm
1.76 m
4.
Calculate the following:a) 6.52 x 7
b) 8.13 x 9
c)
2.27 x 4
d) 10.11 ÷3
e) 9.36 ÷ 6
f)
28.35 ÷ 5
7
Homework 10 – Decimals 2
1.
2.
Round each number to one decimal place and then estimate the
following:a) 6.287 + 2.539
b) 8.731 – 2.599
c) 0.897 + 3.642
d) 2.387 + 0.775
e) 11.888 – 7.629
f)
4.84 + 3.296
A local DIY store stocks planks of wood in three different lengths, as
follows:-
0.95m
1.76m
2.84m
a) What is the total length of 20 of the smallest planks?
b) What is the total length of 300 of the largest planks?
Homework 11 – Fractions 1
What fraction of each shape is shaded.
Simplify the fraction where possible.
A
B
C
E
F
G
H
I
J
8
D
Homework 12 – Fractions 2
1.
Write four other fractions which are equivalent to the fractions given
a)
2.
2
b)
3
4
5
Simplify these fractions where possible (there is one that cannot be
simplified).
a)
28
b)
32
35
45
c)
19
d)
46
Homework 13 – Fractions 2
1.
Carry out the following calculations.
a)
2.
1
3
of 1863
b)
1
5
of 2435
Carry out the following calculations.
a)
3
4
of 2092
b)
9
2
7
of 1715
21
49
Homework 14 – Bearings
1.
Write down the bearing of each of these directions
a) West
c) North West
2.
For a) to d) below, estimate the bearing on which each plane is flying.
(There is no need for a protractor to estimate the bearing)
a)
c)
b) South East
d) South
b)
North
d)
North
10
North
North