Download Homework Sheets – year 8

Summary
In each column
colour in a bar chart
as high as the mark
you got in that
homework. You
should always aim to
improve on what you
achieved in your
previous homework
Addition
Multiplication
Subtraction
Division
Fraction
Fract/% of a
#
Time - clocks
Time – units
Algebra –
simplify
Algebra substitute
Percentages
Symmetry
Powers
Angles
Averages &
range
Units
Probability
Shape
Factors
Types of
number
Homework
10
Homework 9
Homework 8
Homework 7
Homework 6
Homework 5
Homework 4
Homework 3
Homework 2
Homework 1
Homework Sheet 1
Date______________________
1
Add together 36 and 57 (show working)
11
What is 24% as a decimal?
2
Multiply 28 by 4 (show working)
12
How many lines of symmetry does a
square have?
3
Subtract 68 from 97 (show working)
13
What is 5 squared?
4
Divide 52 by 4 (show working)
14
How many degrees are there in one full
turn?
5
Shade ½ of this diagram
15
What is the mode of these numbers
1, 3, 4, 1, 3, 1, 5, 2, 1, 1, 3,
6
What is ½ of 18?
16
How many mm are there in 5cm?
7
Write 4:15pm using the 24 hour clock.
17
What is the probability of throwing a 6
on a dice?
8
How many days are there in March?
18
How many sides does a pentagon have?
9
Simplify
19
What are the factors of 9?
20
Give the first 5 multiples of 3
a+a+a+a+a
10
Mark
If y=3 what is y+4
Effort
Comments
Homework Sheet 2
Date______________________
1
Add together 29 and 84 (show working)
11
What is 72% as a decimal?
2
Multiply 37 by 5 (show working)
12
How many lines of symmetry does a
rectangle have?
3
Subtract 23 from 86 (show working)
13
What is 8 squared?
4
Divide 57 by 3 (show working)
14
How many degrees are there in a half
turn?
5
Shade ¼ of this diagram
15
What is the mode of these numbers
4, 9, 8, 9, 9, 7, 8, 8, 8, 8, 4
6
What is ¼ of 32?
16
How many cm are there in 4m?
7
Write 4:15am using the 24 hour clock.
17
What is the probability of throwing a 2
on a dice?
8
How many days are there in April?
18
How many sides does an octagon have?
9
Simplify
19
What are the factors of 6?
20
Give the first 5 multiples of 4
m+m+m+m
10
Mark
If y=10 what is y-6
Effort
Comments
Homework Sheet 3
Date______________________
1
Add together 84 and 37 (show working)
11
What is 92% as a decimal?
2
Multiply 71 by 3 (show working)
12
How many lines of symmetry does a kite
have?
3
Subtract 29 from 82 (show working)
13
What is 9 squared?
4
Divide 91 by 7 (show working)
14
How many degrees are there in a right
angle?
5
Shade
15
What is the mode of these numbers
3
4
of this diagram
50, 10, 50, 10, 10, 20, 50, 10
6
What is
16
How many m are there in 2km?
7
Write 9:35pm using the 24 hour clock.
17
What is the probability of throwing a 5
on a dice?
8
How many days are there in a year?
18
How many sides does a hexagon have?
9
Simplify
19
What are the factors of 12?
20
Give the first 5 multiples of 5
3
4
of 12?
3a + 4a
10
Mark
If y=8 what is y+11
Effort
Comments
Homework Sheet 4
Date______________________
1
Add together 123 and 54 (show working)
11
What is 50% as a decimal?
2
Multiply 56 by 8 (show working)
12
How many lines of symmetry does a
parallelogram have?
3
Subtract 165 from 388 (show working)
13
What is 62?
4
Divide 84 by 4 (show working)
14
If an angle is acute, what size could it
be?
5
Shade
15
What is the range of these numbers
2
5
of this diagram
1, 3, 4, 1, 3, 1, 5, 2, 1, 1, 3,
6
What is
16
How many cm are there in 60mm?
7
Write 7am using the 24 hour clock.
17
What is the probability of throwing an
even number on a dice?
8
How many days are there in February?
18
Draw a trapezium with a ruler?
9
Simplify
19
What are the factors of 15?
20
Give the first 5 multiples of 6
2
5
of 20?
7a + 4a
10
Mark
If y=6 what is y ÷ 2
Effort
Comments
Homework Sheet 5
Date______________________
1
Add together 231 and 497 (show working) 11
What is 7% as a decimal?
2
Multiply 132 by 6 (show working)
12
How many lines of symmetry does a
regular pentagon have?
3
Subtract 205 from 304 (show working)
13
What is 102?
4
Divide 155 by 5 (show working)
14
If an angle is obtuse, what size could it
be?
5
Shade
15
What is the range of these numbers
4
5
of this diagram
15, 25, 10, 80, 35, 45, 50
6
What is
16
How many m are there in 700cm?
7
Write 12pm using the 24 hour clock.
17
What is the probability of throwing a
number less than 3 on a dice?
8
How many days are there in a leap year?
18
Draw an isosceles triangle with a ruler?
9
Simplify
19
What are the factors of 20?
20
Give the first 5 multiples of 7
4
5
of 50?
10a +3a – 4a
10
Mark
If y=9 what is y×6
Effort
Comments
Homework Sheet 6
Date______________________
1
Add together 24, 51 and 43 (show
working)
11
What is 81% as a decimal?
2
Multiply 73.4 by 10 (show working)
12
How many lines of symmetry does an
equilateral triangle have?
3
Subtract 124 from 200 (show working)
13
What is 112?
4
Divide 918 by 3 (show working)
14
If an angle is reflex, what size could it
be?
5
Shade
15
What is the range of these numbers
3
10
of this diagram
4, 9, 8, 9, 9, 7, 8, 8, 8, 8, 4
6
What is
16
How many km are there in 9000m?
7
Write 2250 using the am/pm clock.
17
What is the probability of tossing a coin
and getting a heads?
8
How many hours are there in a day?
18
Draw a rhombus with a ruler?
9
Simplify
19
What are the factors of 20?
20
Give the first 5 multiples of 8
3
10
of 90?
a+a+a+b+b
10
Mark
If m=3 and n=2 what is m+n?
Effort
Comments
Homework Sheet 7
Date______________________
1
Add together 34, 81 and 71 (show
working)
11
What is 0.4 as a percentage?
2
Multiply 40 by 30
12
How many lines of symmetry does this
star have?
3
Subtract 299 from 426 (show working)
13
What is 122?
4
Divide 1000 by 4 (show working)
14
If I start facing North and turn 180
degrees clockwise, which direction will I
now be facing?
5
Shade
15
What is the median of these numbers
7
10
of this diagram
1, 1, 3, 4, 7
6
What is
16
How many kg are there in 5000g?
7
Write 0145 using the am/pm clock.
17
What is the probability of tossing a coin
and getting a tails?
8
How many minutes are there in an hour?
18
Draw a hexagon with a ruler?
9
Simplify
19
What are the factors of 24?
20
Circle the prime number?
7
10
of 60?
2a+3a+4b
10
If m=5 and n=6 what is m×n?
3, 6, 9, 12
Mark
Effort
Comments
Homework Sheet 8
Date______________________
1
Add together 75, 95 and 120 (show
working)
11
What is 0.29 as a percentage?
2
Multiply 400 by 20
12
Draw a triangle with NO lines of
symmetry?
3
Subtract 454 from 511 (show working)
13
What is the square root of 36?
4
Divide 253 by 11 (show working)
14
If I start facing North and turn 90
degrees clockwise, which direction will I
now be facing?
5
Shade
15
What is the median of these numbers
1
2
of this diagram
1, 3, 1, 4, 7
6
What is 50% of 400?
16
How many mm are there in 3.2cm?
7
Write 1400 using the am/pm clock.
17
What is the probability of choosing the
Queen of Spades at random from a pack
of cards?
8
How many seconds are there in a minute?
18
Sketch a circle and label the radius?
9
Simplify
19
What are the factors of 28?
20
Circle the prime number?
6a + 5a + 4b + 9b
10
If m=10 and n=3 what is m-n?
12, 15, 17, 18
Mark
Effort
Comments
Homework Sheet 9
Date______________________
1
Add together 123, 159 and 841 (show
working)
11
What is 0.04 as a percentage?
2
Multiply 500 by 300
12
How many lines of symmetry does a circle
have?
3
Subtract 715 from 1026 (show working)
13
What is the square root of 81?
4
Divide 344 by 8 (show working)
14
If I start facing North and turn 90
degrees anticlockwise, which direction
will I now be facing?
5
Shade
15
What is the median of these numbers
1
5
of this diagram
2, 3, 2, 4, 1, 8, 4
6
What is 25% of 200?
16
How many cm are there in 5.2m?
7
Write 0000 using the am/pm clock.
17
What is the probability of choosing a
Jack at random from a pack of cards?
8
How many days are there in a fortnight?
18
Sketch a circle and label the diameter?
9
Simplify
19
What are the factors of 40?
20
Circle the prime number?
7a + 3a + 5b + 11b
10
If m=11 what is 3m?
21, 22, 23, 24, 25, 26
Mark
Effort
Comments
Homework Sheet 10
Date______________________
1
Add together 411, 1024 and 206 (show
working)
11
What is 0.6 as a percentage?
2
Multiply 3000 by 60
12
Draw a shape with rotational symmetry of
order 2?
3
Subtract 481 from 6000 (show working)
13
What is the square root of 121?
4
Divide 49 by 10 (show working)
14
If I start facing East and turn 270
degrees anticlockwise, which direction
will I now be facing?
5
Shade
15
What is the mean of these numbers
1
4
of this diagram
1, 2, 3, 4
6
What is 75% of 80?
16
How many m are there in 8.92km?
7
Write 1200 using the am/pm clock.
17
What is the probability of choosing a red
card at random from a pack of cards?
8
How many years are there in a decade?
18
Sketch a circle and label the centre?
9
Simplify
19
What are the factors of 100?
20
What is the next triangle number?
6a + 4b + 8a + 2b
10
If m=7 what is 5m?
1, 3, 6, 10, 15, 21 _____
Mark
Effort
Comments
1. x = 8
(a) When x = 8, what is the value of 5x?
Tick () the correct box below.
5
13
40
58
None of these
(b) When x = 8, what is the value of 3x – x ?
Tick () the correct box below.
0
3
16
30
None of these
(c) When x = 8, what is the value of x2?
Tick () the correct box below.
8
10
16
64
None of these
2. Sweets
Fred has a bag of sweets.
Contents
3 yellow sweets
5 green sweets
7 red sweets
4 purple sweets
1 black sweet
He is going to take a sweet from the bag at random.
(a) What is the probability that Fred will get a black sweet?
(b) Write the missing colour in the sentence below.
The probability that Fred will get a ...................... sweet is
3. Simplifying
Simplify these expressions.
5k + 7 + 3k = ...............................................................................................
k + 1 + k + 4 = .............................................................................................
4. Shoe sizes
(a) There are four people in Sita’s family.
Their shoe sizes are 4, 5, 7 and 10
What is the median shoe size in Sita’s family?
(b) There are three people in John’s family.
The range of their shoe sizes is 4
Two people in the family wear shoe size 6
John’s shoe size is not 6 and it is
not 10
What is John’s shoe size?
5. Halfway
(a) The number 6 is halfway between 4.5 and 7.5
Fill in the missing numbers below.
The number 6 is halfway between 2.8 and .....................
The number 6 is halfway between –12 and ......................
(b) Work out the number that is halfway between 27 × 38 and 33 × 38
Show your
working.
6. Crisps
A box contains bags of crisps.
Each bag of crisps weighs 25 grams.
Altogether, the bags of crisps inside the box weigh 1 kilogram.
How many bags of crisps are inside the box?
7. Magic square
One way to make a magic square is to substitute numbers into this algebra grid.
a+b
a–b+c a–c
a–b–c a
a+c
a+b+c
a+b–c a–b
(a) Complete the magic square below using the values
a = 10 b = 3
5
10
15
c = 5
(b) Here is the algebra grid again.
a+b
a–b+c a–c
a–b–c a
a+c
a+b+c
a+b–c a–b
I use different values for a, b and c to complete the magic square.
20
21
7
3
16
29
25
11
12
What values for a, b and c did I use?
a = ...............................
b = ...............................
c = ...............................
8. Areas
The diagram shows a rectangle 18cm long and 14cm wide.
It has been split into four smaller rectangles.
Write the area of each small rectangle on the diagram.
One has been done for you.
What is the area of the whole rectangle?
........................ cm2
What is 18 × 14?
18 × 14 = ............
9. Numbers
Here is a list of numbers:
–7
–5
–3
–1
0
2
4
6
You can choose some of the numbers from the list and add them to find their
total.
(a) Choose two of the numbers from the list which have a total of 3
......
+
......
=
3
(b) Choose two of the numbers from the list which have a total of –1
...... +
......
=
–1
(c) Choose two other numbers from the list which have a total of –1
...... +
–7
–5
–3
–1
......
0
2
4
=
–1
6
(d) What is the total of all eight of the numbers on the list?
(e)
Choose the three numbers from the list which have the lowest possible total.
Write the three numbers and their total.
You must not use the same number more than once.
...... +
......
=
......
10. What is my number?
I am thinking of a number.
My number multiplied by 15 is 315
My number multiplied by 17 is 357
What is my number?
What is the area of the whole rectangle?
11. Rectangles
A rectangle has an area of 24 cm2
How long could the sides of the rectangle be?
Give three different examples.
......................... cm and ......................... cm
......................... cm and ......................... cm
......................... cm and ......................... cm
12. Areas
(a) Tick () any rectangles below that have an area of 12cm2
(b) A square has an area of 100cm2
What is its perimeter?
Show your working.
13. Percentages
(a) Complete the sentences.
............................... out of 10 is the same as 70%
10 out of 20 is the same as ..............................%
(b) Complete the sentence.
..................... out of ..................... is the same as 5%
Now complete the sentence using different numbers.
..................... out of ..................... is the same as 5%
14. 28 times table
(a) Show that 9 × 28 is 252
(b) What is 27 × 28?
You can use part (a) to help you.
15. Percentages
(a) Write the missing numbers.
50% of 80 = .................
5% of 80 = .................
1% of 80 = .................
(b)
Work out 56% of 80
You can use part (a) to help you.
16. Triangles
(a) A triangle has three equal sides.
Write the sizes of the angles in this triangle.
................°,
................°,
................°
................°,
................°
(b) A right-angled triangle has two equal sides.
Write the sizes of the angles in this triangle.
................°,
17. Simplifying
(a) Here is an expression.
2a + 3 + 2a
Which expression below shows it written as simply as possible?
Put a ring round the correct one.
7a 7 + a
2a + 5
4a + 3
4(a + 3)
(b) Here is a different expression.
3b + 4 + 5b – 1
Write this expression as simply as possible.