Transcript T2-M-1228-Challenge-A-Day-Month-Powerpoint-Y6

A Challenge a Day!
Pick a Challenge
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Reflect It
Write your name in capital letters. Reflect
it underneath.
Try this as a shadow at an angle.
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Try other words.
Hundred Words
if a=1, b=2, c=3, d=4 etc., what is the value
of your name?
a
1
i
9
q
17
y
25
b
2
j
10
r
18
z
26
c
3
k
11
s
19
d
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l
12
t
20
e
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m
13
u
21
f
6
n
14
v
22
g
7
o
15
w
23
h
8
p
16
x
24
E.g. Helen = 8 + 5 + 12 + 5 + 14 =44
Can you find some words that total 100?
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Catch it in a Net
This shape is called a
tetrahedron. It is made of 8
triangles. Can you draw the net
that will make this shape?
What about this icosahedron,
which is made of 24
equilateral triangles?
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Decimal
Equivalences
Can you write all the decimal equivalences for
halves, quarter and eighths?
0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875
What about the decimal equivalences for fifths and
tenths?
0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9
Finally, try the decimal equivalences for thirds,
sixths and ninths?
0.33, 0.66
0.166, 0.33, 0.5, 0.66, 0.833
0.11, 0.22, 0.33, 0.44, 0.55, 0.66, 0.77,
0.88, 0.99
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answers
Keep it in
Complete
these equations
Balance
Write
350
45 x 5 =
_____ 125
13
144 + 25 = ____ 2
710
_____
- 350
= this
72 equation
several
solutions
to make
correct.
x 5
120 ÷ ____ = 120 - _____
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Square Enough
Write all the square numbers as far as
go….
e.g.you
0, can
1, 4,
9,…
Write the difference between each
consecutive pair of square numbers for
1example:
– 0 = 1
4 – 1 = 3
9 – 4 =
Can you use this to continue the
square numbers?
Draw the square numbers
Shade the extra small squares that
are added to the previous square.
Can you use this to explain the
pattern you found at the
beginning?
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What time is
it?
At 12 o’clock both hands of the clock are in
the same position.
As accurately as you can, what
is the next time when both hands
are in the same position?
Hint:
Think about roughly where the
hands will be. Calculate how far
each hand travels in the same
unit of time, e.g. how far both
hands travel in 5 minutes or 1
minute.
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Coordinated
Shapes
12
What shapes are
made by these sets
of coordinates?
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10
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a. (3,5) (6,7)
(4,10)squa
(1,8)
re
parallelogr
b. (2,1)
(6,1)
am (1,3)
(5,3)
kite
c. (9,5) (11,9)
(9,10)
(7,9)
rectangle/obl
ong
d. (8,0) (10,1)
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(8,5)Reveal
(6,4)
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Roman Years
Turn these years into Roman Numerals.
Roman Conquest
43
XLIII
Battle of Winwaed
655
DCLV
Battle of Hastings
1066
MLXVI
Magna Carta
1215
MCCXV
Black Death
1349
MCCCXLIX
Henry VIII head of Church
of England
1531
MDXXXI
Christmas banned by Oliver
Cromwell
1649
MDCXLIX
MDCCXCVII
Queen Victoria’s Diamond
Jubilee
1897
Queen Elizabeth’s Diamond
Jubilee
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2012
MMXII
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Multiplication
Matches
7x3=21
7x3
5x5=25
5x5
8x6
8x6=48
9x4
9x4=36
10x7
10x7=70
8x8=64
8x8
9x6=54
9x6
2x7=14
2x7
4x8=32
4x8
8x3=24
8x3
9x9=81
9x9
6x6=36
6x6
8x1=8
8x1
7x6=42
7x6
12x6=72
12x6
7x7=49
7x7
3x11=33
3x11
4x6
4x6=24
3x3=9
3x3
5x8=40
5x8
10x4=40
10x4
10x9=90
10x9
2x10
2x10=20
7x8
7x8=56
9x3=27
9x3
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What’s Next?
Write the next few numbers in each sequence and
explain each pattern.
77, 89, 101, 113,…
-45, -36, -27, -18,
…
50, 37, 24, ….
0, 2, 6, 12, 20…
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Round the Edge
What is the perimeter of this
rectilinear shape?
6m
14m
Can you explain how you got the
answer?
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What’s Missing?
Calculate the size of each angle that
has a letter.
c
d
a
115o
b
50
e
o
f
Estimate and write what the angles in this
triangle could measure.
g
i
h
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What Time is the Next
Train?
Station/Train
Hanoi
SE1
SE3
SE5
SE7
TN1
1900
2300
1545
0615
1005
1650
0719
1117
1728
0756
1157
1803
0830
1234
1919
0940
1409
Phu Ly (Hanam)
Nam Dinh
2036
Ninh Binh
Thanh Hoa
2215
Vinh (Nghe An)
0044
0407
2210
1156
1642
Dong Hoi (Phong
Nha)
0431
0749
0234
1543
2136
Dong Ha (DMZ)
0643
Hue
0757
1907
0131
0451
1045
Lang Co
0607
0731
Danang
1031
Quang Ngai
1328
Dieu Tri
1616
Tuy Hoa (Quy
1833
Nha Trang
2028
Thap Cham
2204
1312
1802
2203
0856
2141
0438
1157
0035
0809
1457
0323
1211
1711
0532
1940
0737
1646
2117
0911
1848
1141
2157
1505
0303
Muong Man
Ho Chi Minh City
0410
0500
0306
0440
What is the fastest
train from Hanoi to
Ho Chi Minh City?
Write some of your
own questions with
the answers.
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What Number am I?
Using these clues work out what
number I am.
I am a prime number.
I only have 2 digits.
I am larger than 30.
My digital root is 8.
I do not have 5 tens.
Reveal a Clue
I am
?
71
Reveal the
Answer
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True, False or
Sometimes
Answer true, false or sometimes for each statement.
1.A straight sided 2D shape has the same number TRUE
of
sides as angles.
FALSE
2.When adding an odd number of odd numbers the answer
is always even.
FALSE
3.A dodecahedron has ten faces.
TRUE
4.Eight squared is equal to four cubed.
SOMETIMES
5.If you multiply 2 numbers the answer is always larger
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than the 2 numbers.
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Round and Round
Write 3 numbers that can be rounded
to 500 when rounded to the nearest
100.
What are the largest and smallest
numbers that can be rounded to 340
when rounded to the nearest 10.
70 442 people attended the Champions
League final between Barcelona and
Juventus in June 2015. When would
this be rounded to seventy thousand.
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Its Miles to
Using 5 miles = 8 km complete the following
Kilometres!
table in km to
miles, rounding the answer to the
nearest mile:
Berlin
Berlin
London
Moscow
Rome
930 km
1608 km
1182 km
2489 km
1431 km
London
miles
581
Moscow
miles
1005
miles
1556
Rome
miles
739
miles
894
2374 km
miles
1484
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Addition Towers
Take the numbers 1, 2, 3, 4, and 5.
Write them in any order and then add each
consecutive pair and write the total above. Keep
going until you have one number at the top.
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? ?
? ? ?
3 5 7 9
1 2 3 4 5
Does the order of the numbers 1, 2, 3, 4 and 5
make a difference to the number you reach at the
top?
What are the highest and lowest totals possible
to reach?
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Can you explain how the order impacts on the
total?
Forgotten
Numbers
I used a calculator to divide one whole number
by another whole number. The answer was 4.625.
However, I have forgotten the numbers. I
remember they are less than 50. What are the
numbers?
37 ÷
8
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Answer
Fibonacci
The Fibonacci series is where 2 numbers are added
to make the next number:
Continue the series: 1, 1, 2, 3, 5, 8, 13,……
Divide each number by the previous number:
1 ÷ 1 = 1
2 ÷ 1 = 2
3 ÷ 2 = 1.5
Mark these numbers on a number line from 1 to 2
1. 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
0
See what else you can find out about
the Fibonacci series.
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Make Thirteen
Use the numbers 1, 2, 3, 4, 5, 6, 7, 8 to
make each line add up to 13. Use each
number only once.
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3
6
2
Reveal the
Answer
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Hollow Cubes
Imagine a 3 x 3 x 3 hollow cube. How many cubes will
be used to make it?
What about a 4 x 4 x 4 hollow cube?
Can you continue the pattern?
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Will It Hit
100? Will 100 be
Look at these sequences.
in each sequence? Yes or No? If not,
what is the closest the sequence will
get to 100?
6, 13, 20, 27…
4, 7, 10, 13…
4, 12, 20, 28…
8, 17, 26, 35…
10, 21, 32, 43…
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Reverse It
Take any 3 digit number. Reverse the number and add it
to the original number.
Take your answer, reverse it and add the 2 numbers
together.
Repeat this process several times.
What happens?
Can you spot why?
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Coin Count
If any amount of money up to £1
is made with the least number of
coins possible, which amounts are
made with the most coins?
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Root of Three
What number, when squared, makes
3?
Without using a calculator, work
out the answer as accurately as
you can.
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Add One to One
Hundred
Can you add up all the numbers from 1 to
100?
Hint: To add all the numbers from 1 to 10,
pair them up
1
10
2
9
3
8
4
7
5
6
Look at the total for each pair. Use it to
find the answer.
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Perfect Number
A perfect number is a number that is the sum of
all it’s proper factors (all the factors
except the number itself.)
The first perfect number is 6, which is the sum
of 1, 2 and 3. (The factors of 6 are 1, 2, 3
and 6, so the proper factors are 1, 2 and 3)
Can you find the next perfect number?
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