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Matchborough First School Academy

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Mathematics

Summer 2

Please click on the weeks below for the activities. 

Hundred Square - you may find this useful to print off and record what lights light up for each number. Can you see any patterns?

Co-ordinate Challenge

Here is a grid:

Can you position these ten letters in their correct places according to the eight clues below?

Clues:
 

The letters at (1,1), (1,2) and (1,3) are all symmetrical about a vertical line.

 

The letter at (4,2) is not symmetrical in any way.

 

The letters at (1,1), (2,1) and (3,1) are symmetrical about a horizontal line.

 

The letters at (0,2), (2,0) have rotational symmetry.

 

The letter at (3,1) consists of just straight lines.

 

The letters at (3,3) and (2,0) consist of just curved lines.

 

The letters at (3,3), (3,2) and (3,1) are consecutive in the alphabet.

 

The letters at (0,2) and (1,2) are at the two ends of the alphabet.

 

SEND US YOUR ANSWERS AND WE WILL REWARD YOU WITH DOJOS...BUT ONLY IF YOU ARE CORRECT!

 

Andy's Marbles

Andy and his friend Sam were walking along the road together. Andy had a big bag of marbles.

Unfortunately the bottom of the bag split and all the marbles spilled out. Poor Andy!

One third (13) of the marbles rolled down the slope too quickly for Andy to pick them up. One sixth (16) of all the marbles disappeared into the rain-water drain.

Andy and Sam picked up all they could but half (12) of the marbles that remained nearby were picked up by other children who ran off with them.

Andy counted all the marbles he and Sam had rescued.
He gave one third (1/3) of these to Sam for helping him pick them up. Andy put his remaining marbles into his pocket. There were 14 of them.


How many marbles were there in Andy's bag before the bottom split?

What fraction of the total number that had been in the bag had he lost or given away?

 

SEND IN YOUR CORRECT ANSWERS AND RECEIVE 20 DOJOS!

 

Finding Fifteen

Tim had nine cards, each with a different number from 1 to 9 on it.
He put the cards into three piles so that the total in each pile was 15.
How could he have done this?

Can you find all the different ways Tim could have done this?

https://nrich.maths.org/content/id/2645/Finding%20Fifteen.pdf

 

You might want to print off the 1-9 digit cards from the link above or you could make your own.

 

10 DOJOS IF YOU CAN SOLVE THIS!

Those Tea Cups

Aunt Jane had been to a jumble sale and bought a whole lot of cups and saucers - she's having many visitors these days and felt that she needed some more. You are staying with her and when she arrives home you help her to unpack the cups and saucers.

There are four sets: a set of white, a set of red, a set of blue and a set of green. In each set there are four cups and four saucers. So there are 16 cups and 16 saucers altogether.

Just for the fun of it, you decide to mix them around a bit so that there are 16 different-looking cup/saucer combinations laid out on the table in a very long line.

So, for example:

a) there is a red cup on a green saucer but not another the same although there is a green cup on a red saucer;
b) there is a red cup on a red saucer but that's the only one like it.

There are these 16 different cup/saucer combinations on the table and you think about arranging them in a big square. Because there are 16 you realise that there are going to be 4 rows with 4 in each row (or if you like, 4 rows and 4 columns).

So here is the challenge to start off this investigation. Place these 16 different combinations of cup/saucer in this 4 by 4 arrangement with the following rules:-

1) In any row there must only be one cup of each colour;
2) In any row there must only be one saucer of each colour;
3) In any column there must only be one cup of each colour;
4) In any column there must be only one saucer of each colour.

Remember that these 16 cup/saucers are all different so, for example, you CANNOT have a red cup on a green saucer somewhere and another red cup on a green saucer somewhere else.

There are a lot of different ways of approaching this challenge.

When you think you have completed it check it through very carefully, it's even a good idea to get a friend who has seen the rules to check it also.

 

25 DOJOS IF YOU CAN SOLVE THIS. GOOD LUCK!

 

 

 

Shape Times Shape

The coloured shapes stand for eleven of the numbers from 0 to 12. Each shape is a different number.

Can you work out what they are from the multiplications below?

10 DOJOS IF YOU MANAGE TO WORK THE VALUE OF EACH SHAPE...GOOD LUCK smiley

The Deca Tree

In the forest there is Deca Tree.

 

A Deca Tree has 10 trunks, 

and on each trunk are 10 branches, 

and on each there are 10 twigs,

and on each twig there are 10 leaves. 

One day a woodcutter came along and cut down one trunk from the tree.
Then he cut off one branch from another trunk of the tree.
Then he cut off one twig from another branch.
Finally he pulled one leaf from another twig.

How many leaves were left on the tree then?

 

 

FOUR DIGIT TARGETS

Four Digit Targets

You have two sets of digits from 0 to 9.

0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9

 

The idea is to arrange these digits to make four digit numbers as close to the target number as possible. You may only use each digit once!

 

So can you find out for me:

  • the largest odd number = 
  • the largest even number =
  • largest multiple of three = 
  • largest multiple of 5 = 
  • number closest to 5,000 = 

 

You might find the interactive tool helpful on the link below:

https://nrich.maths.org/6342/index

 

Good luck and remember to send us an email with your responses or even maybe a photographsmiley

ZIOS AND ZEPTS

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs.

 

The great planetary explorer Nico, who first discovered the planet, saw a crowd of Zios and Zepts. He managed to see that there was more than one of each kind of creature before they saw him. Suddenly they all rolled over onto their backs and put their legs in the air.

He counted 52 legs. How many Zios and how many Zepts were there?
Do you think there are any different answers?

 

Good luck and remember to send us an email with your responses or even maybe a photograph

Gattegno Chart

 

Using the  Gattegno chart can you answer the following questions?

1. 3 ÷ 10 =

2. 5 ÷ 10 =

3. 77 ÷ 10 =

4. 42 ÷ 10 =

5. 19 ÷ 10 =

6. 6 ÷ 100 =

7. 30 ÷ 100 =

8. 65 ÷ 100 =

9. 26 ÷ 100 =

10. 75 ÷ 100 =

Your own Gattegno Chart to print

Maths frame

Why not try a few online games today? Look for the FREE sign. 

Have a look at the multiplication and division games on this website. 

The Multiplication Tables check is a good way of seeing how many tables you can recall.

White Rose Hub

 

Use the link below to keep up with our Maths curriculum. White Rose Hub is offering free at home activities (and answers) to complete online.

 

Copy or use the link below. This week it is continuing decimals!

https://whiterosemaths.com/homelearning/

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