Wednesday 16 December 2015

January Challenge - Years 1 & 2

Biscuit Decorations

Andrew decorated 20 biscuits to take to a party.

He lined them up and put icing on every second biscuit.
Then he put a cherry on every third biscuit.
Then he put a chocolate button on every fourth biscuit.
So there was nothing on the first biscuit.

1. How many biscuits had no decoration? 

2. Did any biscuits get all three decorations?

Solutions are to be completed by Friday January 29th.  Please post them into the Maths Challenge Box in the picture book library.  





January Challenge - Years 3 & 4

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it.

children holding numbers
Each child in blue is holding a number which is four more than the child in the same row wearing red.

The children in yellow shirts each have a number which is double the number of the child in the same row wearing red.

1. Some of the numbers that the children in red, blue or yellow shirts are holding have got rubbed off. What should the numbers be?

2. Can you work out how the numbers that the children in green are holding have been worked out? What are the two missing numbers?
(Hint:  Think about adding two numbers together.)

3. If there was another row of four children standing behind the fourth row, what numbers would they be holding?

Solutions are to be completed by Friday January 29th.  Please post them into the Maths Challenge Box in the picture book library.  

January Challenge - Years 5 & 6

The pages of Jack’s book are numbered from 1.
The page numbers have a total of 555 digits.
How many pages has the book?
loved reading. I would read between homework assignments, favourite ...How many of the digits are a 5?

Solutions are to be completed by Friday January 29th.  Please post them into the Maths Challenge Box in the picture book library.  

December Solutions - Year 1 & 2

Dasher costs £14.
Dancer costs £14.
Prancer costs £16.
Vixen costs £12.
Comet costs £12.
Cupid costs £12.
Donner costs £14.
Blitzen costs £16.
Rudolph costs £16.

Extra challenge:
a)      The name tags for Prancer, Blitzen and Rudolph are the most expensive.
b)      The name tags for Comet, Cupid and Vixen are the least expensive.

c)      All nine nametags cost a total of £126.

December Solutions - Years 3 & 4

The elf would weigh 69 kg after twelve days.

December Solutions - Year 5 & 6

After testing the different options, I found if you cut 2 squares deep it will become a 6 x 6 base with a 2 square high side.  This makes the largest amount of space: 72 cubes. I worked this out using :


Length x Width x Height
6 x 6 x 2 = 72 cubes

Friday 27 November 2015

December Challenge - Years 1 & 2

Santa decides to buy name tags for his reindeer.  Their names are:



For each name tag, vowels cost £3 and consonants cost £2.

How much does it cost for each of the name tags?

For an extra challenge:
a) Which 3 reindeer are tied for the most expensive name tags?
b) Which 3 reindeer are tied for the least expensive name tags?
c) How much does Santa pay for the name tags of all the reindeer?

Solutions are to be completed by Wednesday December 16th.  Please post them into the Maths Challenge Box in the picture book library.  


December Challenge - Years 3 & 4





One of Santa's elves eats too much breakfast during the holiday season.  He weighs 27 kg, but each morning he gains 4 kg.  He works so hard making toys in Santa's factory each day that he loses 500 g by the evening.  If this pattern continues for 12 days, how much does the elf weigh at the end of the 12 days?




Solutions are to be completed by Wednesday December 16th.  Please post them into the Maths Challenge Box in the picture book library.  

Thursday 26 November 2015

December Challenge - Years 5 & 6

As you are thinking about wrapping up presents this holiday season, this problem might help you choose the right size box.
Start with a 10 by 10 grid.
If you cut out a 1 by 1 square from each corner, it could be folded into an open-top box that had an 8 by 8 base and was 1 square deep. That means that the box would be able to hold 64 cubes.
What size square should you cut out of each corner to make the box that would hold the greatest number of unit cubes?

Another way to ask this question is 'Which box has the greatest volume of space available?'.


Solutions are to be completed by Wednesday December 16th.  Please post them into the Maths Challenge Box in the picture book library.  

Thursday 22 October 2015

November Challenge - Years 1 & 2

Find the squares that Froggie skips onto to get to the pumpkin patch.

She starts on 3 and finishes on 30, but she may only jump to a square that is 3 more than the square she comes from.  Draw the path that Froggie should take.



For an extra challenge, you can try to find more than one path.

Solutions are to be completed by Friday November 27th.  Please post them into the Maths Challenge Box in the picture book library.  


November Challenge - Years 3 & 4

Card Tricks

Chico’s cards are all different.
There is a number from 1 to 8 on each card.
Chico has chosen four cards that add up to 20.
What are they?
There are seven different possibilities to find.

Extension:
Explore the different totals that can be made with four cards.
(It is possible to make any total from 10 to 26.)

Solutions are to be completed by Friday 27th November.  Please post them into the Maths Challenge Box in the picture book library.

November Challenge - Years 5 & 6

«+ J = 8
«- J = 4
R+ t = 12
R- t = t
t + t = R

What is the value of each of the symbols?

« =
J =
R =
t =

Solutions are to be completed by Friday 27th November.  Please post them into the Maths Challenge Box in the picture book library.

October Solutions - Years 1 & 2

Five different ways to pay 6p:
5p + 1p
2p + 2p + 2p
2p + 2p + 1p + 1p
2p + 1p + 1p + 1p + 1p
1p + 1p + 1p + 1p + 1p + 1p

October Solutions - Years 3 & 4

13 = 1 + 2 + 2 + 1 + 7

38 = 4 + 9 + 9 + 8 + 8

October Solutions - Years 5 & 6

Sam put 1p, 2p, 4p and 8p in the four bags.
Any sum from 1p to 15p can be made with these amounts.

Wednesday 30 September 2015

October Challenge - Years 1 & 2

Jade bought a lolly.
It cost 6p.
She used coins to pay for it exactly.

Which coins did she use?

There are 5 different ways to do it.
Can you find all 5 ways?


Tip: Use real coins to help find the solution.

Write your answer on a piece of paper. Don't forget to include your name and class.  Post in the Maths Challenge Solutions post box by October 22nd. 

October Challenge - Year 3 & 4

Number Mazes 

Start in the yellow square and move to the orange square by adding up the numbers along the way.  You need the correct total before reaching the end.  The orange square shows you what total you need to make.  You are only allowed to visit each square once and you can only move vertically and horizontally.



1


2


5




2


7


7




2


1


7


13




4


9


6




1


9


8




7


4


8


38



Solutions are to be completed by Thursday October 22nd.  Please post them into the Maths Challenge Box in the picture book library.

October Challenge - Years 5 & 6

Sam divided 15 pennies among four small bags.
He could then pay any sum of money from 1p to 15p, without opening any bag.
How many pennies did Sam put in each bag?


Forgot to mention that Sam is Canadian!

Solutions are to be completed by Thursday October 22nd.  Please post them into the Maths Challenge Box in the picture book library.

September Solutions - Years 3 & 4


¤
5
8
6
9
7
9
9
8
7
«
2
3
2
7
3
2
3
7
6
¤ + «
7
11
8
16
10
11
12
15
13
¤ - «
3
5
4
2
4
7
6
1
1
¤ x «
10
24
12
63
21
18
27
56
42


¤
9
10
12
12
20
24
36
28
18
«
3
2
3
6
5
6
9
4
2
3 x «
9
6
9
18
15
18
27
12
6
¤ + «
12
12
15
18
25
30
45
32
20
¤ ÷ «
3
5
4
2
4
4
4
7
9


September Solutions - Years 5 & 6

Gurmit paid £2 for A, £4 for B, £6 for C, £1 for D and £8 for E.

Thursday 10 September 2015

September Challenge - Years 1 & 2

Draw the dominoes which come next in the pattern.



Make up one more domino pattern of your own.






















Tip: Use real dominoes to help you.

Write your answer on a piece of paper and post in the Maths Challenge Solutions post box in the KS1 picture book library by September 30th. Don't forget to include your name and class.



September Challenge - Years 3 & 4

Follow the rules shown in the left-hand columns to complete these tables.  In every case, ¤ is larger than «.  Choose your own values for the last column.

¤
5
8
6




8


«
2


7


3



¤ + «
7
11


10
11




¤ - «
3

4
2
4



1

¤ x «
10




18
27
56
42



¤
9
10

12

24




«
3

3

5



2

3 x «

6




27
12


¤ + «


15



45
32
20

¤ ÷ «



2
4
4






Fill in the missing values and post your answers in the Maths Challenge Solutions box in the KS1 picture book library by September 30th.  Don’t forget to write your name and class on your paper.