Hundred squares and some activities
1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

91

92

93

94

95

96

97

98

99

100

81

82

83

84

85

86

87

88

89

90

71

72

73

74

75

76

77

78

79

80

61

62

63

64

65

66

67

68

69

70

51

52

53

54

55

56

57

58

59

60

41

42

43

44

45

46

47

48

49

50

31

32

33

34

35

36

37

38

39

40

21

22

23

24

25

26

27

28

29

30

11

12

3

4

15

16

17

18

19

20

1

2

3

4

5

6

7

8

9

10

1

11

21

31

41

51

61

71

81

91

2

12

22

32

42

52

62

72

82

92

3

13

23

33

43

53

63

73

83

93

4

14

24

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

46

56

66

76

86

96

7

17

27

37

47

57

67

77

87

97

8

18

28

38

48

58

68

78

88

98

9

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

100

99

98

97

96

95

94

93

92

91

90

89

88

87

86

85

84

83

82

81

80

79

78

77

76

75

74

73

72

71

70

69

68

67

66

65

64

63

62

61

60

59

58

57

56

55

54

53

52

51

50

49

48

47

46

45

44

43

42

41

40

39

38

37

36

35

34

33

32

31

30

29

28

27

26

25

24

23

22

21

20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

Ideas for using the ‘100 square’
These activities are not presented in any particular order. Many of them can be adapted for children of different abilities and ages. Some of the activities can be carried out using different sized grids (e.g. 8 by 8) or grids with different numbers (eg. 100199, 0.110 etc.)
Jigsaw: Cut up into pieces to make a jigsaw for the children to reassemble. Increase the number of pieces to make it harder. Cut along the lines, not through the numbers.
Coverup: Child 1 covers up one or more squares using counters. Child 2 has to guess which numbers are hidden under the counters.
Race to 100: Give the children a copy of a blank 100 square. Time how long it takes them to fill in the numbers. Repeat on a regular basis to see if they can improve on their time.
Missing numbers: Provide children with pieces of the 100 square with only some of the numbers filled in. They have to think about the patterns to fill in the empty spaces.
Number swap: Using a hundred square with pockets, swap over two of the numbers. Children have to spot the numbers in the wrong places. Make the activity more difficult by asking children to calculate the total of or the difference between the two swapped numbers.
4 in a row: (a game for 2 or 3 players) Throw three 0 – 9 dice. Use the numbers and any operation to make one of the numbers on the hundred square. If all the players agree that the calculation is correct, cover the number with one of your counters. The aim is to get four of your counters in a row.
Squares:
Draw a 2 by 2 square on the hundred square.
Add the numbers in opposite corners.
What do you notice? Is it the same for different 2 by 2 squares?
Now multiply the numbers in opposite corners. What do you notice this time? Is it always true?
Differences: Choose two 0 – 9 cards and write down the two 2digit numbers you can make (with 3 and 7, you can make 37 and 73). Find the difference between your two numbers and colour your answers on a hundred square. Explain any patterns you can see.
Predictions: Cover the multiples of 3 up to 30. Use the pattern to predict whether the number 52 will be in the sequence. Try predicting other numbers. How do you know? How could you check your answer? Repeat the activity using different multiples.
Total 100: Find pairs of numbers on the hundred square that total 100. How many different pairs can you find? How could you organise your answers so that you know you have found all of the possible ways? Which are the two ‘unhappy’ numbers because they do not have a partner.
Digit sums: Use red counters to cover numbers on the hundred square whose digits add up to 10. Explain the patterns that you notice? Use a different colour counter to cover numbers whose digits add up to 9, 8, 7 etc. Can you explain what is happening each time?
Consecutive numbers: Circle three numbers next to each other in a row. Find their total. Repeat for other groups of three consecutive numbers. What do all of the answers have in common? Try to explain why this happens.
Make a track: Cut a hundred square into rows, and then stick it together as a number track. Can you decide where to cut it to turn it back into a hundred square? Explain why you know.
Hidden numbers: Cover the numbers 1 to 99 on a hundred square with counters. Spin two 0 – 9 dice and make a 2digit number. Work out which counter the number is hidden under. If you are right, keep the counter. If you are wrong, put the counter back down. How many counters can you collect in 5 minutes? Play again and try to beat your record.
Spirals: Fill in the numbers on a blank hundred square in a spiral pattern. Cover up some of the numbers. Can a partner tell you which numbers are covered? Can you make a different spiral pattern next time?
L–shapes:
Draw an Lshape on the hundred square (3 down, 2
across). Find the difference between the two shaded numbers.
Repeat with other Lshapes on the hundred square. What do you
notice about the differences?
Can you explain why?
Palindromic Numbers: Colour the palindromic numbers on a hundred square (numbers the same backwards as forwards e.g. 55). Describe the pattern made. Can you explain why the pattern is diagonal? Is it diagonal on different 100 squares?
Pathways: Use a hundred square with 1 to 10 on the bottom row. Choose a start and finish number. Write a list of instructions to move from the start number to the finish number e.g. Start on 17. Add 30, subtract 4, add 10, add 6. Read your instructions to a partner. Do they finish on the correct number? Can they tell you how to get back to the start number in just two moves?
Square numbers: Predict how many square numbers you think there are on a hundred square. Circle them to find out how close your estimate is. Describe any patterns you see. Which two square numbers have a difference of 20, 40, 60? Do you think there is a pair of square numbers with a difference of 80?
Coordinates: Each child needs a hundred square. Label the columns of the grid A–H and the rows 1–10. Child 1 puts crosses on their grid to make a letter or shape e.g. H, and they then read out the coordinates. Child 2 marks the squares with a cross. Check to see if the same pattern is made on both squares.
Common multiples: Circle the multiples of 3 and cross the multiples of 4. What do you notice about the numbers that are circled and crossed? What do these numbers have in common? Do you know what the next few numbers in the pattern would be?
Crosses:
Draw a 3 by 3 cross on the hundred square.
Add the four numbers around the edge. Can you see a relationship to the middle number? Repeat for other crosses. Explain what you have noticed to a friend.
Number puzzles: Devise a set of calculations. The answers (when covered on the grid) should make a shape or letter. Children complete the calculations and cover the answers. Teachers can quickly see whether the answers are correct. Can you make up a similar puzzle for your friend to complete?
Favourite numbers: Choose your favourite number from the hundred square. Make up 5 statements about it e.g. it is a multiple of 5, it is a square number etc. Can someone else guess your number correctly? If not, let them ask a question to help them.
