IES Breckland

Year 7 Mathematics

Homework Booklet Summer Term

Levels 4-6

Please complete your maths homework regularly – each week you have a ‘learn’ task (an important skill or fact needed to help you with your maths), a ‘do’ task (some questions to answer) and a ‘challenge’ task (a problem for you to try and solve). 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

Hand this booklet in

Maths Teacher

2

Dear Parent

As outlined on the front cover, mathematics homework in year 7 is organised in a ‘learn, do, challenge’ format. The learn and do tasks are split into different levels and your child should attempt work in line with their working level and target. Your child should attempt the level task each week unless otherwise directed by their teacher – this may mean them completing questions at one, two or even three levels. The challenge tasks are short problem solving activities that any pupil can attempt. These questions are taken from ‘UKMT Mathematics Challenge’ papers – some pupils will take part in the annual national UKMT Challenge during year 7.

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.

Any learn or do task that has a bold heading 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. These areas will be assessed in more detail in lessons and formal assessments.

We hope that your child enjoys attempting their maths homework and achieves success in the process.

IESB Mathematics Department.

KS2 level

End of Year 7 Target

Predicted level

3

Homework 1

LEARN

(3,7) Means 3 along the x-axis and 7 up the y-axis.

DO

Level 4

On the axes below draw a quadrilateral. Label the corners (vertices) A, B, C and D. Write down the coordinates of the vertices of your quadrilateral in the spaces provided.

Coordinates of the vertices:

A ( ) C ( )

B ( ) D ( )

4

On the axes below plot the coordinates and join them up in the order they are given. Start a new part of the shape when the coordinates start a new line.

(1,5), (2,7), (5,7), (6,5), (6,1), (1,1), (1,5), (6,5)

(4,11), (4,3), (5,3)(5,1)

(2,2), (3,2), (3,3), (2,3), (2,2)

(2,5), (2,4), (3,4), (3,5)

(4,5), (4,4), (5,4), (5,5)

5

Level 5

Look at the coordinates shown on the axes below:

Starting with the point marked at the top right and going round in a clockwise direction, list the coordinates of the points shown.

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

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

6

Using the axes below; plot and join the coordinates in the order shown. Start a new part of the shape for each new paragraph. (2,10),

(12,2), (8,-10), (-4,-10), (-8,2), (2,10)

(-4,-10), (-2,-3), (-1,2), (2,10), (4,2), (6,-2), (8,-10), (2,-5), (-2, -3), (-8,2), (-1,2), (4,2), (12,2), (6,-2), (2,-5), (-4,-10)

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Level 6

Write down 5 pairs of coordinates that meet the following rules.

a) The y-coordinate is two more than the x-coordinate.

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

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

b) The x-coordinate and the y-coordinate add up to 5.

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

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8

The x coordinate is half of the y-coordinate. Write down 5 pairs of coordinates that satisfy this. Plot them on the axes below. What do you notice?

1.) 2.)

3.) 4.)

5.)

10

Challenge

In the diagram ST is parallel to UV. What is the value of x?

A 46 B 48 C 86 D 92 E 94

Homework 2

LEARN

Obtuse angles are more than 90° but less than 180°.

DO

Ask someone to read the questions to you. They should repeat each question once and leave 10 seconds between each question. Write your answer down. We will run through the answers in class. Make a note of how many you got right.

Level 4-5

1) Tickets cost £2.50 each. How much do 12 tickets cost?

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

2) A train journey takes 38 minutes. The train leaves at twenty five past ten. What time does it arrive?

……………………………………………………………………………………………

3) What is 20% of 300? ……………………………………………………………………………………

10

4) When x=4 what does 2x equal?

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

5) The temperature falls from 4 degrees Celsius to minus 5 degrees Celsius. How much has the temperature fallen by?

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

6) What number is zero point one less than one hundred?

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

7) What is 7 squared?

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

8) A Square has a perimeter of 20cm. What is its area?

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

9) What is three fifths as a percentage?

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

10) What is 112 cm in mm? …………………………………………………………………………………………………………………………

My score was ………………

11

Levels 5-6

1) What is 25% of four hundred and eighty pounds? …………………………………………………………………………………………………………………………

2) Multiply 1.7 by one hundred.

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

3) A rectangle is 30cm by 80cm. What is the area?

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

4) 3, 7, 11, 15. What are the next three numbers in the sequence?

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

5) The value of six x added to eight y is 50. What is the value of three x added to four y?

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

6) What is the volume of a cube of side 3cm?

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

7) One angle of an isosceles triangle is 120°. What is the size of one of the other angles?

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

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8) A dress costs £48. It is reduced by 20%. What is the new price?

……………………………………………………………………………………

……………………………………

9) What are the factors of twelve?

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

10) One side of a rhombus is 30 mm. What is the perimeter in centimetres?

…………………………………………………………………………………

……………………………………… My score was ………………

Challenge

Which of the following has the largest value?

( )

( )

( )

( )

( )

13

Homework 3

LEARN

A parallelogram has no lines of symmetry.

DO There are TWO sections you MUST complete the

appropriate parts of BOTH sections!

Section A: Levels 4-6 The instructions below are mixed up. Use the letters to show the correct order, for example for Set 1 the first instruction is c

Set 1

a) Using a protractor mark the first angle at one end of the line.

b) Mark all the measurements you were given on the triangle you have drawn.

c) Given one side and two angles (ASA)

d) Draw in the angle and extend the line.

e) Draw in the second angle, extending the line to meet the line drawn previously.

f) Draw the side you are given, use a ruler and measure accurately.

g) Use the protractor to measure the second angle at the other end of the first line.

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

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

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

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Set 2

a) Use a ruler to draw the angle, extend your line.

b) Join the end of the original line to this point to make a triangle.

c) Given one angle and two sides (SAS)

d) Mark all the measurements you were given on the triangle you have drawn.

e) Measure the length of the second side given. along the line you have just drawn.

f) Using a ruler draw the longest side you are given accurately.

g) At one end of the line measure and mark the angle you are given.

h) Mark this distance on the line.

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

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

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

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Section B

Level 4 Complete the table with the missing 12 and 24 hour clock times.

12 hour clock 24 hour clock

A 2:45 pm

B 7:25 am

C 1832

D 0654

E 12:00 am

16

Level 5

You need to record two television programmes. How long is each programme? How long will it take to watch both programmes altogether?

11:40 am – 1320 School For Scoundrels 1655 - 5:25pm Hider In The House

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

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

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

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

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Level 6

Andy leaves home at 0825. He calls for Sally and Dan on the way to school.

a) How long does it take to get from Sally’s to Dan’s?

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

b) It takes 18 minutes to walk from Dan’s house to school. What time do they arrive at school?

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

If Andy walks directly to school it takes 24 minutes.

c) What time would he arrive at school if he left home at the same time?

……………………………………………………………………………………

……………………………

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

d) How much longer does it take Andy to get to school if he calls for his friends?

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

Sally’s 8:37am

Home 0825

Dan’s 0843

School

21

Challenge

A station clock shows each digit by illuminating up to 7 bars in a display. For example, the displays for 1, 6, 4 and 9 are shown. When all the digits from 0 to 9 are shown, which bar is used the least?

A B C D E

Homework 4

This is a Key Skills homework and will be issued separately by your teacher.

Homework 5

LEARN

There are four types of triangle isosceles, equilateral, scalene and right- angled. Do

One day on a chessboard, which is an eight by eight grid, a penny is placed on the first square. The next day double the amount is placed on the second square. Double that amount is placed on the third square on the third day.

This continues every day.

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Level 4 How much money is there on the tenth day? Show all your workings out.

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

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

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

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Level 5

How much money in total is there after ten days. Show all your workings out.

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

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

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

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

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

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Level 6

Would you prefer to receive £50 on the first day of the month, or receive the total amount on the board after thirty days?

Why?

……………………………………………………………………………………

…………………………

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

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

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

CHALLENGE

On Monday last week Dilly started to learn the Tlingit language. Every day she learnt five new words, but when she woke every morning she had forgotten two of the words leant the day before. When did Dilly first achieve her target of learning fourteen words?

A Friday B Monday C Saturday D Thursday E Wednesday

Homework 6

LEARN

Nine times table – you will be tested….

24

DO

Level 4

Shade in ONE more square so that the shape has TWO lines of symmetry.

Shade in TWO squares so that the shape has ONE line of symmetry

25

Enlarge the shape by a scale factor of 2.

Level 5 Connect the transformation to its descriptors.

Transformation Descriptors

- Centre

Reflection (flip) - Same way round

- Line Rotation (turn) - Scale factor

- Congruent (same size)

Enlargement - Angle

- Direction of travel (vector)

Translation (slide) - Clockwise/anti- clockwise

- Not Congruent (different size)

- Faces a different way

26

Rotate the shape below 90° anticlockwise, about point P.

P

27

Level 6 Find the coordinates of the centre of enlargement.

……………………………………………………………………

……………………… What is the scale factor of the

enlargement?

……………………………………………………………………………….

image

object

28

Reflect the triangle in the vertical, horizontal and diagonal lines.

CHALLENGE

What is the value of 1000 – 100 + 10 – 1 is:

A 111 B 900 C 909 D 990 E 999

Homework 7

Homework 7 is a Key Skills homework and will be issued separately by your teacher.

Homework 8

Homework 8 is a Problem Solving homework and will be issued separately by your teacher.