OLIDAY FUN BOOKLET PUZZLES, PUZZLES and MORE PUZZLES
GROW YOUR MATHS BRAIN DURING THE HOLIDAYS!
WHAT DOES THE SHAPE STAND FOR? Welcome to your very own Holiday Fun In this grid each shape stands for a number. Booklet. There are 12 pages of fun puzzles and activities to do with maths to The numbers shown are the totals of a row or keep your maths brain growing during the column. Work out what each shape stands for summer holidays. and find the other totals. 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 SYMMETRY Complete the design below so that the dotted line is a line of symmetry.
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
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)
10 – 10 = 0
WHEEL SUMS Add, subtract or multiply the number in the middle of the wheel to each number around it to get the answer.
0
10 24 19 11
90
‐ 10
75
29 31
8 15 12
7 (add 10 then take away 1)
4 4 + 10 = 14 14 - 1 = 13
13
50
10
5
2
4 15
10
X 2
3
(Double)
12
6
25
12 6 x 2 = 12 Double 6 is 12 SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
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.
10 11
9 18 + 0 = 18 OR 18 – 0 = 18
1 0 18
8
13 4
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
ADDITION PRACTICE
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!
122
7
3
4
10
8
9
7
6
8
10 40
1
0
7
0
1
9
0
8
10
7
6
96
8
0
2
0
7
17
32
25 18 29 25 32 129
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.
x 20 10
2
5
3
x
60
25 15
4
5
2
x
3
5
60 10
20
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
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.
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.
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 SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
10
11
11
7
7
76
24 12
15
HINT: what added to 12 gives 24?
There are some blank ones later in the booklet so you can make up some of your own.
10
84
Did you get this as your answer?
Add 2 numbers to get the 1 above. Start at the bottom and work up. See example.
PYRAMID SUMS
15
10
10
16
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.
24
144
Top answer: 3 x 4 = 12
12 3
4 7
Bottom answer: 3 + 4 = 7
45
81 9
11
14
24 48 12
2 42
3 18
Now, make up some of your own.
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
RAINBOW FACTS HOW MAY WAYS CAN YOU MAKE 10?
HOW MAY WAYS CAN YOU MAKE 13?
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.
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?
HOW MAY WAYS CAN YOU MAKE 15? Now, see if you can make up a rainbow of your own to add to 15
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
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
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.
÷ each number by 2 (Halving)
20
Fill in the numbers for the BLANK squares only
101 102
104 105 106
112 121
114
117
123
4
126
132 141
108 109 110
16
12
135 144
146 155
149 158
14
160
167 168 169 170
8
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
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 Now try joining five numbers the example is up, down, across and 9 + 4 + 9 + 14 = 36. diagonally. Find the highest possible score with 4 numbers Find the lowest possible score with 4 numbers
GRID 1
The score for the example: 15 +10 + 3 + 5 + 14 = 47
GRID 2
Fill in the numbers for the BLANK squares only
1 11
3 12
21
14 23
24
33
34
41
6
15
52
61
62
35
38
71
30
39
40
48
85
50 30
77 86
100
50
67 75
84
29
56
64
73 82
47
20
20
26
55 63
9 17
44
51
81
5
÷ each number by 10
80
78
79
88
89
80 70
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
Total is 26 Across and down
ACROSS AND DOWN In these puzzles, each column and row must equal the SAME number which is shown at the top of each puzzle.
12
Look at the example. This one must equal 26.
8
10
8
10
6
26
22
Total is 48 Across and down
=>
6
11
14 =>
14 =>
70
20 =>
40
17 =>
15 =>
50 10
=>
=>
=>
14
EXAMPLE
9
8 11
48
Total is 70 Across and down
10 =>26
26
=>
TRY THESE
=>26
=>
6
Total is 22 Across and down
26
=>
=>
=> These one use bigger numbers ... Total is 220 Across and down
55
220 =>
55
65 125 =>
150
250
Total is 650 Across and down
75 =>
30
=>
50 =>
=>
=>
=>
=>
Look carefully at the numbers in these 2 puzzles and look for numbers pairs that add to friendly numbers like 10, 20, 100 etc.
650 =>
201
300
=> 151
299
=>
70
299
=>
80 =>
Total is 250 Across and down
=>
Look carefully at these numbers and see if you can find a way to add these up quickly!
Can you make up some of your own?
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
HINT: what added to 12 gives 20?
6
4
4
HINT: what added to 5 gives 40?
3
40
5
6
Did you get this as your answer?
3
210
25
15 10 25
51
15
9
75
75
575
275
150
50
There are some blank ones later in the booklet so you can make up some of your own.
72
18
12 12
68
20
12
Start here
Add 2 numbers to get the 1 below. Start at the top and work down. See example.
FUNNEL SUMS
HINT: can you work from the bottom up?
ADD & SUBTRACT 10s and 100s Find 3 numbers which add to make the number in the box. There may be more than one way to do it! See examples. TARGET NUMBER 50 10
25
85 100 55
START
30
30
20
20
10
TARGET NUMBER 50 10
5
10
25
30
20
10
5
40
50
60
60
150 10 30 50 70 90 20
80 10
20
30
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. SOUTH AFRICAN NUMERACY CHAIR PROJECT 2013—HOLIDAY FUN BOOKLET
