h oliday fun booklet - rhodes university
TRANSCRIPT
H OLIDAY FUN BOOKLET
WHAT DOES THE SHAPE STAND FOR?
In this grid each shape stands for a number. The numbers shown are the totals of a row or column. Work out what each shape stands for and find the other totals.
GROW YOUR MATHS BRAIN DURING THE HOLIDAYS!
Welcome to your very own Holiday Fun Booklet. There are 12 pages of fun
puzzles and activities to do with maths to keep your maths brain growing during the
summer holidays. Do a little every day and you will be ready
to go back to school in 2014. Take your book back to school at the
beginning of the term and your teacher will give you solutions for the things you
were unsure of. 11
14 10 15
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
PUZZLES, PUZZLES and MORE PUZZLES
SYMMETRY Complete the design below so that the dotted line is a line of symmetry.
WHEEL SUMS Add, subtract or
multiply the number in the middle of the
wheel to each number around it to
get the answer.
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
SPOT THE DIFFERENCE This grid has 16 squares. One square is different from all the others. Find it and put a circle around it. Then explain why you think it is different to the others.
Activity courtesy of: BRAIN SIZZLERS SECOND EDITION: Puzzles for Critical Thinkers (Celia Baron 2001)
FIND THE PATTERN
Here are 3 puzzles to try. Draw the shapes to complete a pattern for each puzzle.
Activities courtesy of: BRAIN SIZZLERS SECOND EDITION: Puzzles for Critical Thinkers (Celia Baron 2001)
‐ 1090
2410
31
75
29
11
19
0
10 – 10 = 0
X 2(Double)
4
50 10
3
12
256
15
6 x 2 = 12Double 6 is 12
12
15
8 10
7
12
4 5
2
134 + 10 = 1414 - 1 = 13
(add 10 then take away 1)
MULTIPLICATION SQUARES Multiply the numbers across the top with the numbers down the side. One example has been done e.g. 3 x 20 = 60. In the last one, you are given some answers and you need to work out the numbers for the row and column.
There are some missing numbers in these grids. The numbers at the end of a row or column are the total of that row or column. Work out the missing numbers for the shaded squares. NOTE: some are totals!
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
x 4 5 2
25
15
x 3 5
60
10 20
MORE WHEEL SUMS The number in the middle of this puzzle is the answer to sums. Find the missing numbers to go in the boxes.
x 2 5 3
20 60
10
10
11
0813
4
19
18
18 + 0 = 18 OR18 – 0 = 18
ADDITION PRACTICE 5 1 5 4 2 17
1 9 5 2 8 25
6 2 2 8 10 28
4 6 4 6 2 22
1 1 9 10 9 30
17 19 25 30 31 122
7 3 4 10 8 32
9 7 6 8 10 40
1 0 7 0 1 9
0 8 10 7 6 96
8 0 2 0 7 17
25 18 29 25 32 129
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
SNAKES AND LADDERS On this Snakes and Ladders board, your counter is on 9. You roll a normal 1 to 6 dice. After 2 moves you land on
16. Find all the different ways you could have moved to 16.
Now think of some other questions you could ask about
this game.
HOW MANY? Look at these 2 pictures. How many squares can you see in the first one? How many triangles can you see in the 2nd one?
HINT: It might be useful to use different colour pens / crayons to
mark the shapes you find.
HELP THE SPIDERS! Work out what the number pattern is in each web. Then write the pattern in the web for as far as you can go.
Activity from: http://creativeclassroom123.blogspot.com/2012/10/friday-freebie-spider-web-counting.html
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
10
10
11
11
84
Did
you
get
this
as y
our
answ
er?
77
12
24
76
HIN
T: w
hat
adde
d to
12
give
s 24
?
15
15
10
10
16
PYRAMID SUMS
Add
2 n
umbe
rs to
get
the
1 a
bove
. Sta
rt a
t the
bot
tom
and
wor
k up
. See
exa
mpl
e.
Ther
e ar
e so
me
blan
k on
es la
ter i
n th
e bo
okle
t so
you
can
mak
e up
som
e of
you
r ow
n.
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
ADD & MULTIPLY PUZZLES
The 2 numbers in the middle Add together to make the answer in the bottom box. In this example 3 + 4 = 7 Are multiplied to give the answer in the top box. In this example 3 x 4= 12 TRY THESE. The 1st 2 examples are to get you started. The next few will make you think a little more.
Now, make up some of your own.
Top answer: 3 x 4 = 12
12
3 4
7Bottom answer: 3 + 4 = 7
24
11
144
24
81
9
2
42
3
18
45
14
48
12
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
RAINBOW FACTS
HOW MAY WAYS CAN YOU MAKE 10?
Using the rainbow I can make 10 in these ways: 1 + 9 = 10 9 + 1 = 10 [NOTE: I can also use ten to make subtraction sums] 10 - 1 = 9 10 - 9 = 1 Now you carry on and do the rest.
HOW MAY WAYS CAN YOU MAKE 13?
Some examples: 2 + 11 = 13 11 + 2 = 13 [NOTE: I can also use 13 to make subtraction sums] 13 - 2 = 11 13 - 11 = 2 Now you carry on and do the rest.
HOW MAY WAYS CAN YOU MAKE 14?
Do the same as you have done above. Here are a few to get you started. Don’t forget you can also use the 14 to make subtraction sums. 6 + 8 = 14 14 - 8 = 6
HOW MAY WAYS CAN YOU MAKE 15?
Now, see if you can make up a rainbow of your own to add to 15
BLANK PYRAMID & FUNNEL SUMS
Make up a few pyramid or funnel sums of your
won to share with family and friends. When they have done them, check them to make sure you
agree with their work.
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
20
16
4
12
÷ each number by 2(Halving)
14
8
101 102 104 105 106 108 109 110
112 114 117
121 123 126
132 135
141 144 146 149
155 158 160
167 168 169 170
Fill in the numbers for the BLANK squares only
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
JOINING NUMBERS
Work on your own or with a friend. If you work with a friend, take turns. Join any four numbers. Find their total. Joins can go up, down, across and diagonally. The score for the example is 9 + 4 + 9 + 14 = 36. Find the highest possible score with 4 numbers Find the lowest possible score with 4 numbers GRID 1 GRID 2
Now try joining five numbers up, down, across and diagonally. The score for the example: 15 +10 + 3 + 5 + 14 = 47
20
100
50
30
÷ each number by 10
80
70
1 3 5 6 9
11 12 14 15 17 20
21 23 24 26 29 30
33 34 35 38 39 40
41 44 47 48 50
51 52 55 56
61 62 63 64 67
71 73 75 77 78 79 80
81 82 84 85 86 88 89
Fill in the numbers for the BLANK squares only
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
ACROSS AND DOWN
In these puzzles, each column and row must equal the SAME number which is shown at the top of each puzzle.
Look at the example. This one must equal 26.
TRY THESE
These one use bigger numbers ...
Can you make up some of your own?
26
12
8 10 8 =>26
10 6 10 =>26
6 26
26 EXAMPLE
Total is 26Across and down
=>
=>
22
8
11 6 =>
11 =>
14
Total is 22Across and down
=>
=>
48
9
14 14 =>
17 =>
Total is 48Across and down
=>
=>
70
40 20 =>
50 15 =>
10
Total is 70Across and down
=>
=>
Look carefully at the numbers in these 2 puzzles and look for numbers pairs that add to friendly numbers like 10, 20, 100 etc.
220
55 55 =>
65 125 =>
80 =>
Total is 220Across and down
=>=>
250
150 75 =>
30 =>
70 50 =>
Total is 250Across and down
=>=>
Look carefully at these numbers and see if you can find a way to
add these up quickly!
650
299 201 =>
300 =>
151 299 =>
Total is 650Across and down
=> =>
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
36
93
15 51
Did
you
get
this
as y
our
answ
er?
Star
t he
re
612
12
18 72
515
10
25
40
25
210
HIN
T: w
hat
adde
d to
5
give
s 40
?
412
4
20 68
HIN
T: w
hat
adde
d to
12
give
s 20
?
50
75
75
150 275
575
HIN
T: ca
n yo
u w
ork
from
the
botto
m u
p?
FUNNEL SUMS
Add
2 n
umbe
rs to
get
the
1 b
elow
. Sta
rt a
t the
top
and
wor
k do
wn.
See
exa
mpl
e.
Th
ere
are
som
e bl
ank
ones
late
r in
the
book
let
so y
ou c
an m
ake
up s
ome
of y
our o
wn.
Brought to you by the SA Numeracy Chair Project which is hosted by Rhodes University & is jointly funded by the FirstRand Foundation with the RMB fund, the Anglo American Chairman’s Fund & the DST and administered by the NRF.
S O U T H A F R I C A N N U M E R A C Y C H A I R P R O J E C T 2 0 1 3 — H O L I D A Y F U N B O O K L E T
ADD & SUBTRACT 10s and 100s
START
Find 3 numbers which add to make the number in the box. There may be more than one way to do it! See examples.
5010 25 30 20 10 5
TARGET NUMBER 5010 25 30 20 10 5
TARGET NUMBER
85100 55 30 20 10 60
8010 20 30 40 50 60
15010 30 50 70 90 20