The Brunts Academy - Mathematics Summer Bridging Tasks

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Nil Mortalibus Ardui Est “Nothing is impossible for humankind” ______________________________

The Brunts Academy

Mathematics Summer Bridging Tasks


In the Before starting your Maths lessons at the Brunts Academy, you will need firm foundations to build on in terms of your Numeracy skills. Below are the skills you will need to know before joining us next year.

Bronze Silver Gold

Know the 2, 3, 4, 5 & 10 times tables.

Know all the times tables. Know all the times tables.

Know the names of all you 2D shapes.

Know the names of all 2D & 3D shapes.

Know the names of all 2D & 3D shapes

Know the equivalent fraction, decimal and percentages for

100%, 50%, 25% and 75%.

Know all equivalent fractions, decimals and percentages.

Know all equivalent fractions, decimals and percentages.

Know the angle facts about right, acute and obtuse angles.

Know all the angle facts Know all the angle facts

Know how to find the perimeter and area of a rectangle.

Know how to find the perimeter and area of a rectangle, a

parallelogram and a triangle

Know how to find the perimeter and area of all 2D shapes.

Know how to find the volume of a cuboid

Know how to find the volume of all 3D shapes.

Know all the square numbers Know all the square numbers, square roots, cube numbers

and cube roots

The next few pages include activities to practice these skills. Be ambitious and endeavour to achieve gold for each task.

Task 1: Skills you need to know

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Tips and Tricks for your Photography: Mathematics Summer Bridging Tasks

Complete the times table grid below. To achieve Bronze you need to get all the red boxes correct. For Silver you need to get all the yellow boxes correct, and for Gold you need to get all the green boxes correct:

x 1 2 3 4 5 6 7 8 9 10 11 12

1

2

3

4

5

6

7

8

9

10

11

12

Know your times tables

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Naming 2D and 3D shapes

Find the names of 2D and 3D shapes in the Word search below. To achieve Bronze you need to identify 5 shapes, to achieve Silver you need to identify 8 shapes, and to achieve Gold you need to identify 11+ shapes.

P O L E L G N A I R T I K E

X A S N k R E F H C H E T R

V M Q U E I J X C U B L T N

Z O U P L D T E A B O C R Y

R P A R A L L E L O G R A M

E P R I H C U G A I A I P V

D C E S J O L E C D X C E D

N A U M I N M G R S E R Z I

I D F B K E L B A E H B I M

L M W R E U Y T U O H L U A

Y E L G N A T E R S I P M R

C P E N T A G O N V A E S Y

U T E t R A H E D R O N R P

T H I N E L G N A T C E R S

2D 3D 1. ………………………………………………………………………………..

1. ………………………………………………………………………………..

2. ……………………………………………………………………………….. 2. ………………………………………………………………………………..

3. ……………………………………………………………………………….. 3. ………………………………………………………………………………..

4. ……………………………………………………………………………….. 4. ………………………………………………………………………………..

5. ……………………………………………………………………………….. 5.

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Write down whether the following statements are True or False. To achieve Bronze get three correct, to achieve Silver get five correct, and to achieve Gold get all of them correct.

True or False

½ = 0.4

0.25 = 25%

¾ = 0.75

1/5 = 0.5

10% = 1/10

0.05 = 50%

1/25 = 4%


Recognising equivalent fractions, decimals and percentages

Identifying angle properties Match up the statements to the correct answer. To achieve Bronze get four correct, to achieve Silver get 6 correct, and to achieve Gold get all the statements correct.

Acute angles are ….. The same

Obtuse angles are …. 180o

Reflex angles are … Less than 90o

A right angle is 360o

Angles on a straight line add up to …..

Between 90o and 180o

Angles round a point add up to… 360o

Angles in a triangle add up to … 90o

Opposite angles are ….. Between 180o and 360o

Angles in a quadrilateral add up to…

180o

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Match the shapes with the correct areas and perimeters. To achieve Bronze match 4 correctly, to achieve Silver match 6 correctly, and to achieve Gold match 10 correctly.


Area and Perimeter

Calculating Volume

Multiple Choice - For each question circle A, B, C or D. To achieve Bronze you need to get 1 correct, to achieve Silver get 2 correct, and to achieve Gold get all 3 correct.

A: 15cm3

B: 60cm3

C: 42cm3

D: 30cm3

A: 54cm3

B: 108cm3

C: 216cm3

D: 60cm3

A: 120cm3

B: 100cm3

C: 240cm3

D: 180cm3

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Snakes & Ladders – a game for two players (get a family member involved) - You have the chance to move forward 2 more spaces if you answer your partners questions correctly. - If you get it wrong you have to stay where you are until your next turn. - Your partner will keep a note of your answers. - The questions and answers are on the next page. Cut the page in half and take a side each (or alternatively write down the questions and answers on to a sheet of paper - To achieve Bronze you need to answer 5 correctly, to achieve Silver answer 10 correctly, and to achieve Gold answer 15 correctly.


Identifying squares, cubes, and roots – Snakes and Ladders

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Snakes and Ladders – questions sheet

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In the Maths Faculty we have 15 Maths Teachers. Below is some information about all of the teachers. On the next page you will use the information to help you draw the ‘Average maths teacher at the Brunts Academy’

Teacher Hair Colour Eye Colour Wears Glasses

Shoe Size

Height Month born in Favourite

Colour Hobbies Interesting facts

Mr Ogelsby Brown Green No 10 5ft 10in January Green and

red Running and

Kayaking

Kayaked over a 25 foot waterfall and worked in a prison

Mr Hughes Grey Blue yes 10 6ft 4in December Green Puzzles Can complete a

Rubiks cube behind my back

Mrs Maddison Brown Green Some times

3.5 5ft 1in July Pink Gym,

Running, Paper craft.

Used to work on a submarine.

Mrs Harmieson

Brown Greyish green

No 6 5ft 5in April Pink Shopping Loves horror movies

Miss Taylor Blonde Blue Some times

4 5ft June Green Running Climbed Mt Meru

in Tanzania

Mr Smith Brown Brown yes 12 6ft 4in February Blue Watching

Sport, Running

Born in South Africa

A Christian

Mr Hough Brown Green No 9 5ft 9in December Red Football,

Running, Gym Support Mansfield

Town FC

Mr Hardy Brown Blue/ Green

Contacts 11 6ft 1in July Blue Gaming Hard core Star Wars

fan

Mrs Emery Dark brown Dark

brown No 6 5ft 6in July Purple Going to gym

Worked at Brunts for 17 Years

Mrs Aveyard Blonde Blue Some times

6 5ft 6in September Blue

Tennis, Afternoon

Tea, Gardening

Helped build classrooms in Mozambique

Mr Housley Grey Brown Yes 8 5ft 9in May Blue Lawn Bowls Eyes Lasered

Miss Clapham Blonde Blue Yes 7 5ft 8in May Purple Baking I danced for 15

years

Miss Waddingham

Brown Blue No 4 5ft 1in September Purple Playing Pool I was vice captain of the pool team

at university

Mrs Hudson Dark Brown Blue No 7 5ft 8in August Blue Going on Holiday

Just raised £300 for Dementia UK

by running 50 miles in a month

Mr Hayes Dark Brown Blue Yes 10 6ft February Blue

Swimming, Rugby League

Referee, Rock/Metal

Music

Refereed at Twickenham

stadium


Meet the Faculty

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(a) Use the data to draw a picture to show what an average maths teacher at the Brunts Academy looks like.

(b) State which averages you have used

(c) Do you think this represents maths teachers all over the world?


The average maths teacher at Brunts

This is what an average maths teacher looks like at Brunts Academy:

Hair Colour: .............................

(mean/mode/median)

Gender: .............................

Eye Colour: .............................

Shoe Size: .............................

Favourite Colour: .........................

Height: .............................

Will/will not be wearing glasses: .....................

(mean/mode/median)

(mean/mode/median)

(mean/mode/median)

(mean/mode/median) (mean/mode/median)

(mean/mode/median)

How to calculate the… Mode: Count the most common piece of data Median: The middle value. Put the data in order and find the middle one. Mean: Add up the values and divide by how many values there are.

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Challenges, Puzzles and Problem Solving – Code Breaker

Alan Turing

Alan Turing was a British mathematician. He made major contributions to the fields of mathematics, computer science, and artificial intelligence. He worked for the British government during World War II, when he succeeded in breaking the secret code Germany used to communicate.

In September 1939 Great Britain went to war against Germany. During the war, Turing worked at the Government Code and Cypher School at Bletchley Park. Turing and others designed a code-breaking machine known as the Bombe. They used the Bombe to learn German military secrets. By early 1942 the code breakers at Bletchley Park were decoding about 39,000 messages a month. At the end of the war, Turing was made an Officer of the Most Excellent Order of the British Empire.

Can you crack the code to reveal the 3 of the 5 Evolve trust core values. You will have to rearrange the letters from the codes to get the values:

Can you make up some calculations to spell out your name using the same code breaker grid?

Can you make up your own message for a friend to decode?

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The aim of the game is to be the first person to make the number 24. For each game you have 4 numbers, you have to use ALL four numbers, you can add, subtract, multiply or divide these to make 24. Example:

To make 24, I can do (8 - 2) x (6 – 2) 8 -2 = 6 6 -2 = 4 6 x 4 = 24 Now it’s your turn, the 24 cards are below they get harder as you go through. ONE DOT – EASIEST TWO DOTS – MEDIUM THREE DOTS – HARD


Challenges, Puzzles and Problem Solving – The 24 game

Try this with your family – who is the

quickest?

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Each of the blocks of letters below represents a maze. A way has to be found through the maze moving (up and down or across but not diagonally) from letter to letter. No letter may be used twice. In some cases arrows show where the maze is to be entered and left. The letters visited must spell words as you go, and these words can be written on the dashed lines to the right of each maze. The number of dashes show how many letters are in each word. The first one has been started.

Mathematics Summer Bridging tasks

Challenges, Puzzles and Problem Solving – Word searches

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Use the questions below to complete the cross number.


Challenges, Puzzles and Problem solving – Cross Number

2 1

Across Down

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Can you solve all the Maths challenges?


Challenges, Puzzles and Problem solving – Maths Challenges

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Heather can make two connected hexagons by drawing 11 lines. What is the minimum number of lines Heather needs to draw 12 hexagons? Extension: What numbers of hexagons are the most efficient to draw and why? This problem is taken from puzzleoftheweek.com. If you enjoy doing puzzles then have a go at the weekly problems on this website


Challenges, Puzzles and Problem solving – Hexagon problem

The Brunts Academy - Mathematics Summer Bridging Tasks

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