howden school year 7 mathematics homework booklet half...

Howden School

Year 7 Mathematics

Homework Booklet

Half Term 2

Levels 2-4

Please complete your maths homework regularly – each

week you have two tasks to complete. Section A which

checks your understanding of some key ideas and skills

and Section B some questions to answer based on

recently completed work. Hand your work in regularly

and your teacher will let you know how well you are

doing and what progress you are making – good luck and

have fun!

Name Tutor

group

Maths Teacher

Hand this booklet in

2

Dear Parent

As outlined on the front cover, mathematics homework in year

7 is organised in a two section format. Section B is made up of

tasks which are split into different levels and your child should

attempt work in line with their working level and target. Your

child should attempt Section A and the level ____ task of

Section B, each week unless otherwise directed by their

teacher – this may mean them completing questions at one, two

or even three levels.

Your child’s working level at the start of year 7 and their end

of year 7 target level is shown at the bottom of this page.

The tasks in this booklet are designed to meet key areas of

maths at levels two, three and four. Any task that has a bold

heading or is marked with an asterisk (*) indicates that the

task is linked to a key area of maths, which needs to be

understood in order to contribute towards being confident

working at that level.

We hope that your child enjoys attempting their maths

homework and achieves success in the process.

Howden Mathematics Department.

KS2 level End of Year 7

Target

3

HOMEWORK 8

SECTION A

1 Write down the answer to:

17 - 4 =

2 Write down the answer to:

51 - 28 =

3 How many millimetres are there in 17 centimetre?

4 What is half of 35?

5 What is double 12.5? 6 Write down the largest even number you can make from these digits:

9, 8, 3, 1

7 Write down the first 5 multiples of 7.

8 What is the 7 squared?

9 Continue the pattern. 7, 9, 13, 19, 27 … , … , … ,

10 What do you add to these numbers to make 10? 5.4 6.7 3.21

4

SECTION B

Level 2

Sort the following numbers into the Venn Diagram below.

2, 5, 14, 15, 20, 22, 25, 28, 30, 36, 44, 50

Even

Number

In the five

times table

5

Sort the following numbers into the Venn Diagram below:

13, 21, 40, 17, 56, 73, 3, 84, 101, 5, 98, 11

Odd Number

Larger than 20

6

Level 3

Favourite Colours

0

1

2

3

4

5

6

7

Red Green Blue Yellow

Colour

Fre

qu

en

cy

Use the bar chart above to answer the following questions.

a) How many people said that red was their favourite

colour?

……………………………………

b) How many people’s favourite colours are shown on the bar

chart? Circle your answer.

4 7 13 none of these

c) Change the bar chart to show that 4 people said that blue

was their favourite colour.

7

Draw a pictogram to show the following information:

Pet Owned Frequency

Dog 5

Cat 3

Rabbit 6

Other 10

Key

Typ

e o

f P

et

8

Level 4

Produce a tally chart for the data below: Pink Yellow Blue Green Pink

Red Blue Green Red Blue

Pink Red Blue Orange Blue

Green Red Red Blue Green

Yellow Red Blue Green Yellow

Pink Blue Green Pink Purple

Colour Tally

9

Use the following frequency table to complete the bar

chart.

Type of transport Frequency

Bike 10

Bus 10

Car 50

Lorry 15

Van 5

10

How Students Travel to School

0

10

20

30

40

50

Walking School

Bus

Service

Bus

Car Bicycle

Method of Transport

Fre

qu

en

cy

1. Which method of travelling

to school is the mode? ………………………………………

2. How many students travel

to school by car? ……………………………………..

11

HOMEWORK 9 SECTION A

1 What is 10% of 30? 2 What is ¼ of 20?

3 What is ;

4 Work out 14 x 6

5 I buy two items. One costs £3.20, the other costs £1.57. How much is this altogether?

6 Write down the fraction and percentage that are equivalent to 0.47

7 What is the mode for this list of data?

2, 5, 5, 6, 7, 7, 7, 8, 11

8 I am an angle smaller than 90°. What am I called?

9 Name the shape: 10 Show your working out: 264 + 89 =

12

SECTION B

Level 2 to 4

Decide if the following statements, about a standard pack of

playing cards, are true or false.

1. There are 13 suits. True/False

2. There are 12 picture cards. True/False

3. There are 4 of each number card True/False

4. There are 54 cards in a pack. True/False

5. The suits are either black or red. True/False

6. Jokers are part of a standard deck of cards.

True/False

7. All the cards are different. True/False

8. Two of the suits are called ‘Clubs’ and ‘Diamonds’.

True/False

9. There are 8 Aces in a pack. True/False

10. Playing cards are often referred to in probability

questions. True/False

Now answer the questions from the appropriate section on

pages 11 and 12.

13

Level 2 and 3

Complete the sentences by filling in the gaps.

You may wish to use these keywords:

Impossible, Certain, Likely, Unlikely, Very unlikely, Very

Likely

It is ………………………… that I will have chips for tea this week.

It is ………………………… that it will rain this week.

It is ………………………… that pig’s will fly.

It is ………………………… that the bell will ring at the end of lessons.

It is ………………………… that I will have children in the future.

It is ………………………… that I will hand this homework in on time.

14

Level 4

Write a sentence using each of the following keywords:

Impossible

…………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………

Certain

…………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………

Even chance

…………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………

Very likely

…………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………

Unlikely

…………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………

15

HOMEWORK 10

SECTION A

1 What is 10% of 80? 2 What is ¼ of 60?

3 What is ;

4 Work out 23 x 8

5 I buy two items. One costs £7.45, the other costs 95p. How much is this altogether?


7 What is the range for this list of data?

2, 5, 5, 6, 7, 7, 7, 8, 11

8 I am an angle larger than 90°, but smaller than 180°. What am I called?

9 Name the shape: 10 Show your working out: 264 - 89 =

16

SECTION B

Level 2

Which shapes have a half shaded?

Circle your answers.

17

Which shapes have a quarter shaded?

Circle your answers.

True or False:

7 is half of 14. True / False

10 is half of 12 True / False



18

Level 3

Fill in the missing words in the following sentences. Use the

words in the rectangle.

One half is ……………………………………… to two quarters.

The …………………………………………… of 3

1 , is 3.

Three quarters, when written as a ………………………………………………

is 75%

3 is the ……………………………………………… of ⅜.

5 ¾ is known as a ……………………………………………… .

Draw a diagram to show 5

1

Draw a diagram to show one seventh.

Fraction Numerator

Mixed Number Denominator

Equivalent Percentage

Percent Hundredth

19

True or False

One tenth of 40 is 8 True / False

One fifth of 30 is 6 True / False

10 is one fifth of 50 True / False

11 is one tenth of 100 True / False

9 is one fifth of 45 True / False

Level 4

Shade in the given fractions.

21

31

124

32

Which of these fractions are equivalent?

………………………………………………………………………………………………………………

20

Write down the fractions shown in each diagram:

………………………

………………………

………………………

………………………

………………………

………………………

21

HOMEWORK 11

SECTION A

1 What is 10% of 25? 2 What is 1/5 of 35?

3 What is ;

4 Work out 53 x 4

5 I buy two items. One costs £2.95, the other costs £1.65. How much is this altogether?


7 What is the median for this list of data?

2, 5, 5, 6, 7, 7, 7, 8, 11

8 I am an angle larger than 180°. What am I called?


22

SECTION B

Level 2

Circle half of the dots in each rectangle.

23

Circle one quarter of the dots in the following

rectangles.

24

Level 3

a) ½ of 16 = ……… b) 31

of 21 = ………

c) 10

1 of 70 = ……… d) ½ of 18 = ………

e) ⅛ of 24 = ……… f) ¼ of 20 = ………

g) 5

1 of 35 = ……… h) 6

1 of 36 = ………

i) 4

1 of 36 = ……… j) 5

1 of 50 = ………

k) 10

1 of 70 = ……… l) 5

1 of 20 = ………

m) 2

1 of 20 = ……… o) 2

1 of 30 = ………

p) 2

1 of 12 = ……… q) 10

1 of 10 = ………

25

Level 4

a) ½ of 20 = g) 4

1 of 20 =

b) ¼ of 12 = h) 5

1 of 30 =

c) ½ of 32 = i) 3

2 of 100 =

d) ½ of 60 = j) 10

1 of 50 =

e) ¾ of 40 = k) 10

3 of 40 =

f) 31

of 18 = l) 4

3 of 44 =

m) Half of an amount is 12. What is the amount?

……………………………………………………………………………………………………………….

n) One quarter of an amount is 13. What is the original

amount?

……………………………………………………………………………………………………………

HOMEWORK 12

SECTION B

Section B of homework 12 is the second Key Skills homework

and will be set in a separate mini booklet by your teacher.

26

SECTION A


3 What is ;

4 Work out 28 x 3

5 I spend £3.85. How much change do I get from a £5 note?

6 Write down the fraction and decimal that are equivalent to 70%

7 What is the median for this list of data?

2, 5, 5, 6, 7, 7, 7, 8, 11

8 I am a four sided shape. What is the name for any four sided shape?


27

HOMEWORK 13 SECTION A


3 What is ;

4 Work out 67 x 5



7 What is the mean for this list of data? (you may use a calculator)

2, 5, 5, 6, 7, 7, 7, 8, 11

8 I am a five sided shape. What is the name for any four sided shape?


28

SECTION B

Level 2

Draw an angle larger than A.

Draw an angle smaller than B.

Draw an angle larger than B but smaller than A.

Draw a right angle

A

B

29

Level 3

Draw an acute angle.

Draw an obtuse angle.

Draw an angle that is bigger than 90°

Draw an angle smaller than 45°

30

Draw an angle bigger than 180°

31

If the big hand points to 10 and it turns clockwise 90°, what

number will it point to?

If the big hand points to 12 and the little hand points to 2

what is the angle between the hands?

32

Level 4

The diagrams below are all RIGHT ANGLES. Calculate the

missing angles, a, b, c d, e and f.

a

50

°

b

35

°

c

27

°

43

°

d

d 40

°

a = ………………… b = …………………

c = ………………… d = …………………

e e

e = …………………

f

2f

f = …………………

33

Find the missing angles on the straight lines below.

130° g

………………………………

………………………………

g = ………………………

30° h

………………………………

………………………………

h = ………………………

34

HOMEWORK 14

SECTION A


3 What is ;

4 Work out 46 x 9



7 What is the mean for this list of data? (you may use a calculator)

0, 5, 5, 6, 7, 7, 8, 11,12

8 I am a eight sided shape. What is the name for any four sided shape?


35

SECTION B

Level 2 and 3

Write your answers in the space below the questions.

1) Write down three even numbers between 17 and 25.

………………………………………………………………………………………………………………….

2) Add 3 and 4 and 5.

………………………………………………………………………………………………………………….

3) What are the next 3 numbers in the pattern?

4, 6, 8, …………, …………, …………

4) Eight pounds is shared equally between 2 people. How

much does each get?

………………………………………………………………………………………………………………….

5) Pencils cost 10p each how many can you buy for 80p?

………………………………………………………………………………………………………………….

36

6) Round 47 to the nearest 10.

………………………………………………………………………………………………………………….

7) Write down the next 3 numbers in the following pattern.

187, 178, 169, 160, ………, ………, ………

8) I’m thinking of a number. I add 9 and my answer is 16.

What number an I thinking of?

………………………………………………………………………………………………………………….

9) There are 9 passengers on a bus. At the next stop 7

more passengers get on the bus and 4 get off the bus.

How many passengers are there on the bus?

………………………………………………………………………………………………………………….

10) What is one third of 21?

………………………………………………………………………………………………………………….

37

Level 4

1.) Draw a rectangle with a perimeter of 24cm2

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

2.) A square has side length 10cm. What is it’s area?

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

3.) Calculate 27 multiplied by 43.

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

4.) Continue the sequence by writing the next 3 terms.

3, 7, 11, 14, 17……

………………………………………………………………………………………………………………

What is the nth term?

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

38

5.) Write the following numbers in order.

7, -3, 0.74, 0.08, -10

………………………………………………………………………………………………………………

6.) Write 34786 to;

The nearest 10

………………………………………………………………………………………………………………

The nearest 100

………………………………………………………………………………………………………………

The nearest 1000

………………………………………………………………………………………………………………

7.) 27.5 – 34.6=

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

8.) Simplify 4s + 4p + 3p – 2s

………………………………………………………………………………………………………………

9.) If A = bh

Find A when b = 3 and h= 5

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

39

10.) Find the mean, median and mode of the following data,

6, 3, 5, 8, 3, 9, 1

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

………………………………………………………………………………………………………………

howden school year 7 mathematics homework booklet half...

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