# Homework Sheet 1 Date

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```SURNAME …………………………………… FIRST NAME ………………………………………
TEACHER: …………………………………… SET: ………………………………………………..
Year 8
Mathematics Homework
Higher
Autumn term - part 1

Write your name in the space above.

All questions should be attempted.

You must show all your working.

Answers given as fractions should be reduced to their lowest terms.

%
Total
(End of term)
Homework 5
Homework 4
Homework 3
Homework 2
Homework 1
Powers and Roots
Arithmetic
Significant figures
Summary
Pie Charts
nth terms
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
Solving Equations
Substitution
Transformations
Negative Number sums
Using negative numbers
Angle properties
Angles in polygons
Probability
Expectation
Percentages
Fractions
Straight line graphs
Ratio
Area
Averages
Total (End of each HW)
%
Targets
Using your homework sheet set yourself 3 targets based on a particular type of question.
Date Set
Teacher
Comment:
Target
Date Achieved &
Signature
Homework Sheet 1 Date
1
Work out
11
Calculate the missing angle
12
53
2
Calculate 14
3
Round 6.7493 to 2 significant figures.
13
A card is chosen at random from a pack of cards. Find
the probability of choosing a diamond.
4
12 out of 30 people chose their favourite colour as
blue. Calculate the angle you would use for blue on a pie
chart.
14
If you roll a normal dice 120 times. How many 4’s
would you expect to get?
Find the nth term for the sequence
5, 9, 13, 17, 21
15
Find 20% of 130.
16
Find
17
5
23 (show working)
6
Solve the equation
7
If
5x  7  32
x  7 and y  3 , work out
3x  2 y
4
5
of 35
y  3x  2
y  3x  4
y  2x  4
8
The point (2,4) is translated 3 right. What are the
coordinates of the transformed point?
18
Convert 8 inches into cm.
9
Work out
19
Find the area of this shape
20
Find the mean of these numbers
4, 8, 8, 9, 11
7  9
10
If
t  4 work out
t2
Homework Sheet 2
1
Date
Work out
11
Calculate the missing angle
12
What do the angles in a pentagon add up to?
49
2
Calculate
3
Round 34,696 to 2 significant figures.
13
A card is chosen at random from a pack of cards. Find
the probability of choosing an ace.
4
41 out of 120 people chose their favourite fruit as
bananas. Calculate the angle you would use for bananas
on a pie chart.
14
If you roll a normal dice 120 times. How many odd
numbers would you expect to get?
5
Find the nth term for the sequence
1, 9, 17, 25
15
Find 70% of 150.
6
Solve the equation
16
Find
7
If
17
5238
(show working)
6x  2x  40
x  8 and y  10 , work out
6
7
of 56
y  5x  3
y  4x  3
5x
y 1
y  5x  4
8
The point (-2,6) is translated 2 right and 4 up. What
are the coordinates of the transformed point?
18
Convert 15cm into inches.
9
Work out
19
Find the area of this shape
20
Find the mean of these numbers
3,6,9,15,21,33
5  2  10
10
If
t  4 work out
4t 2
Mark
Effort
Homework Sheet 3
1
Work out
2
Calculate
3
Date
11
Calculate the missing angle
12
What do the angles in an octagon add up to?
Round 0.002391 to 2 significant figures.
13
A card is chosen at random from a pack of cards. Find
the probability of choosing a picture card.
4
8 out of 20 people said they watched Eastenders last
night Calculate the angle you would use in a pie chart.
14
There are 4 red and 5 blue counters in a box. A
counter is chosen and then replaced. If you did this
180 times, how many times would you expect to get a
blue?
5
Find the nth term for the sequence
8, 14, 20, 26…
15
Find 35% of 80.
6
Solve the equation
16
Find
7
If
17
364 14 (show working)
5x  2x  33
x  12 and y  6 , work out
x y
2
5
12
of 96
y  5x  6
y  6  5x
2
y  6  5x
8
The point (5, 9) is translated 6 left and 3 down. What
are the coordinates of the transformed point?
18
Share £40 in the ratio 5:3
9
Work out
19
Find the area of this shape
20
Find the mean of these numbers
3,6,4,7,7,8, 7
39  2
10
If
t  3 work out
 4t 
Mark
2
Effort
Homework Sheet 4
Date
11
Calculate the missing angles
12
Find the size of each interior angle in a regular
hexagon?
Round 104, 547 to 3 significant figures.
13
An ace is chosen from a pack of cards, another card
is chosen at random. Find the probability of choosing
another ace.
13 out of 60 people surveyed were left handed.
Calculate the angle you would use in a pie chart.
14
There are 3 red and 9 blue counters in a box. A
counter is chosen and then replaced. If you did this
144 times, how many times would you expect to get a
blue?
Find the nth term for the sequence
4, 11, 18, 25…
15
Find 45% of 240.
16
Find
17
Which two lines have the same y intercept? Circle
1
Work out
2
Calculate 1092
3
4
32  23
5
 42
6
Solve the equation
7
If
(show working)
4x  4  2x 10
x  4 and y  5 , work out
5xy  x2
1
2
of 23of 12
y  3x  5
y  3x  5
8
The point (3, 7) is reflected in the y axis. What are the
coordinates of the transformed point?
18
Share £72 in the ratio 2:7
9
Work out
19
Find the area of this shape
20
Find the mean of these numbers
3, 7, 2, 9, 4, 7, 3, 7, 5, 2
10
5
10
5
If t
 2 work
out
(2t)3
Mark
Effort
y  5x  5
Homework Sheet 5
1
Date
Work out
11
Calculate the missing angles
12
Find the size of each interior angle in a regular
octagon?
4
2
Calculate
3
Round 0.00009893 to 1 significant figure.
13
A diamond is chosen from a pack of cards, then
another card is chosen at random. Find the
probability of choosing another diamond.
4
7 out of 10 students got full marks on their test.
Calculate the angle you would use in a pie chart.
14
There are 10 counters in a box. A counter is chosen and
replaced 100 times, the results are 58 blue and 42 red. How
many of each colour do you think there are in the box?
Find the nth term for the sequence
30, 27, 24, 21…
15
Find 95% of160.
16
Find
17
Which two lines have the same y intercept? Circle
5
81 43 (show working)
6
Solve the equation
7
If
8x 12  5x 15
x  10 and y  9 , work out
x(x  2y)
1
9
of 34 of 24
y6
y  x6
8
The point (-4,8) is reflected in the x axis. What are
the coordinates of the transformed point?
18
Share £56 in the ratio 1:3:4
9
Work out
19
Find the area of this shape
20
Find the median of these numbers
3, 7, 2, 9, 4, 7, 3, 7, 5, 2
6  32  10
10
Use the formula F=1.8C+32 to convert -10oC into
Fahrenheit.
Mark
Effort
x 6
SURNAME …………………………………… FIRST NAME ………………………………………
TEACHER: …………………………………… SET: ………………………………………………..
Year 8
Mathematics Homework
Higher
Autumn term - part 2

Write your name in the space above.

All questions should be attempted.

You must show all your working.

Answers given as fractions should be reduced to their lowest terms.

Mark
Effort
%
Total
(End of term)
Homework 10
Homework 9
Homework 8
Homework 7
Homework 6
Powers and Roots
Arithmetic
Significant figures
Summary
Pie Charts
nth terms
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
Solving Equations
Substitution
Transformations
Negative Number sums
Using negative numbers
Angle properties
Angles in polygons
Probability
Expectation
Percentages
Fractions
Straight line graphs
Ratio
Area
Averages
Total (End of each HW)
%
Targets
Using your homework sheet set yourself 3 targets based on a particular type of question.
Date Set
Target
Date Achieved &
Signature
Teacher
Comment:
Mark
Effort
Homework Sheet 6
Date
11
Calculate the missing angles
12
Find the size of each exterior angle on a regular
hexagon?
Round 9.995 to 1 significant figure.
13
Two coins are flipped. Draw a sample space diagram
showing all possible outcomes.
4
45o is used in a pie chart to represent 6 people. How
many people were there altogether?
14
There are 20 counters in a box. A counter is chosen and
replaced 100 times, the results are 32 blue and 68 red. How
many of each colour do you think there are in the box?
5
Find the nth term for the sequence
45, 40, 35, 30,…
15
Find 6% of 150.
6
Solve the equation
1
Work out
2
Calculate 3
3
106
45 6
(show working)
7x 11 19  3x
16
of
2
a number is 12
9
What’s the number?
7
If
x  4 , y  8 and z  11work out
xyz  y
17
Which line is the rule for the y axis?
yx
y0
2
x 0
8
The point (0,5) is reflected in the line y=x. What are
the coordinates of the transformed point?
18
Share £240 in the ratio 8:3:1
9
Work out
19
Find the area of this shape
20
Find the mean from this frequency table.
43 26
10
Use the formula F=1.8C+32 to convert -20oC into
Fahrenheit.
Mark
Effort
x
f
1
2
2
2
3
5
4
1
Homework Sheet 7
1
Use your calculator to work out the following to 1dp
4
Date
11
Calculate the missing angles
12
Find the size of each exterior angle on a regular
decagon?
13
A coin is flipped and a dice rolled. Draw a sample
space diagram showing all possible outcomes.
120
2
Calculate 1898 
3
By rounding each number to 1sf. Estimate the answer
4
30o is used in a pie chart to represent 5 people. How
many people were there altogether?
14
A dice is rolled 258 times. How many times would you
expect to get an odd prime number?
5
Find the nth term for the sequence
-6, -3, 0, 3, 6,…
15
Find 15% of 70.
6
Solve the equation
to
32  532 (show working)
7.238125.5413
10x 12  48  2x
16
of
4
a number is 16
5
What is the number?
7
If
y
x2
x  3 , y  9 and z  5 work out
17
Which line is the rule for the x axis?
yx
x 0
y0
 12z
8
The point (0,9) is rotated 90o clockwise about the point
(0,0). What are the coordinates of the transformed
point?
18
Share £117 in the ratio 5:2:6
9
Work out
19
Find the area of this shape
20
Find the mean from this frequency table.
100
 3 9
25
10
Use the formula F=1.8C+32 to convert -148oF into
Celsius.
Mark
Effort
x
f
1
5
2
2
3
1
4
2
Homework Sheet 8
Date
11
Calculate the missing angle
12
A regular polygon has an exterior angle of 18o. How
many sides does it have?
13
The probability David is early to school is 0.1 and he
is late 4 out of 10 times. What is the probability he is
on time?
72o is used in a pie chart to represent 4 people. How
many people were there altogether?
14
A fair spinner is numbered 1 to 8. It is spun 768
times. How many times would you expect to get a
square number?
5
Find the nth term for the sequence
1, 4, 9, 16, 25, 36,…
15
Find 2.5% of80.
6
Solve the equation
1
Use your calculator to work out the following
2
Calculate
3
By rounding each numbger to 1sf. Estimate the answer
4
5.34
to
312 42 (show working)
236 75
8x  4  58  x
16
5
9
of a number is 25
What is the number?
7
If
x  10 , y  0.5
z  19 work out
and
17
Which point if not on the line
z x
y
(0,1)
y  3x 1 ?
(3,9)
(2,7)
8
The point (4,0) is rotated 90o anticlockwise about the
point (0,0). What are the coordinates of the
transformed point?
18
Share £120 in the ratio 4:1:2:3
9
Work out
19
Find the area of this shape
20
Find the mean from this frequency table.
2  (3)2 10  50
10
Explain briefly why it is not possible to work out
Mark
Effort
x
f
10
8
20
3
30
6
40
3
Homework Sheet 9
1
Date
Use your calculator to work out the following to 2dp
3
11
Calculate the values of a and x
12
A regular polygon has an exterior angle of 24o. How
many sides does it have?
13
The probability Emma is early to school is 0.05 and
she is late 3 out of 20 times. What is the probability
she is on time?
350
2
Calculate
3
By rounding each number to 1sf. Estimate the answer
4
108o is used in a pie chart to represent 12 people. How
many people were there altogether?
14
A fair 20 sided dice is rolled 1000 times. How many
times would you expect to roll a multiple of 6?
5
Find the nth term for the sequence
3, 3.5, 4, 4.5, 5,…
15
Find 17.5% of160.
6
Solve the equation
to
299 48 (show working)
0.004635.293
6x  4 100  2x
16
7
8
of a number is 14
What is the number?
7
If
x  4 , y  9 and z  13 work out
17
Which point is not on the line
(-1,-11)
x  3y 2 z
y  5x  6 ?
(2,4)
(0,-1)
8
The point (2,6) is rotated 180o anticlockwise about the
point (0,0). What are the coordinates of the
transformed point?
18
Share £105 in the ratio 7:2:2:4
9
Work out
19
Find the area of this shape
20
Find the mean from this frequency table.
9  (8)2  2  32
10
What are the 2 square roots of 16?
Mark
Effort
x
f
11
3
12
5
13
1
14
1
Homework Sheet 10
1
Date
Use your calculator to work out the following to 3dp
5
11
Calculate the missing angle
12
A regular polygon has an interior angle of 150. How
many sides does it have?
13
In a sixth form of 100 students, 32 study Biology, 25 study
Maths and 13 study both Biology and Maths. Find the
probability a student chosen at random studies Maths or
Biology or both.
194
2
Calculate
3
By rounding to 1sf. Estimate the answer to
4
128o is used in a pie chart to represent 32 people. How
many people were there altogether?
14
Two fair dice are rolled together 360 times. How
many times would you expect to get a combined score
of 2?
5
Find the nth term for the sequence
a, 2a, 3a, 4a, 5a
15
Find 17.5% of50.
6
Solve the equation
16
3
10
(show working)
71299
3686.20.0421
3(x  2)  5x  2
of a number is 21
What is the number?
7
If
x  6, y  2
and
z  3 work out
17
Which point is not on the line
(1,10)
4xy3 z 2
y  10  2x ?
(5,0)
(10,-10)
8
The point (-3,5) is rotated 180o clockwise about the
point (0,0). What are the coordinates of the
transformed point?
18
Share £104 in the ratio 4:3:4:2
9
Work out
19
Find the area of this shape
20
Find the mean from this frequency table.
(3)3  33  33
10
What are the 2 square roots of 81?
Mark
Effort
x
f
11
2
12
7
13
8
14
3
```