Key Stage 3 National Strategy
SPRINGBOARD 7
PART 3 UNIT 1 SECTION 1
UNIT
1
Square numbers
1
Learn ers
numb
square 5, 7 x 7.
like 5 x
The first ten square numbers
Complete:
The first ten square numbers are
1, 4, . . . . . . . ,
2
.......
,
.......
,
.......
,
.......
,
.......
,
.......
,
.......
,
More square numbers
Complete:
The second square number
=
4
The fourth square number
=
16
The sixth square number
=
.......
The tenth square number
=
.......
The thirteenth square number
=
.......
The 45th square number
=
.......
Work out:
3
Squaring numbers
Key Stage 3 National Strategy
© CROWN COPYRIGHT 2001
This is a table of numbers and their squares.
Fill in the gaps:
Numbers
2
3
7
Squares
4
9
49
9
12
25
0
4
1
64
6
11
4 100
PAGE
47
Key Stage 3 National Strategy
SPRINGBOARD 7
PART 3 UNIT 1 SECTION 1
UNIT
1
Square numbers
AR CH
ST
LEN
!
GE
AL
1
Calculator squares search
9–10 correct 1 star
Complete the square numbers:
1
.....
3 ..... 5
16
5
.....
3 .....
5 225
9
2
.....
3 ..... 5
64
6
.....
3 .....
5 484
10
3
.....
3 . . . . . 5 144
7
.....
squared 5 25
4
.....
3 . . . . . 5 169
8
.....
squared 5 841
AR CH
ST
squared 5 900
n squared 5 7921
– what is the
value of n? . . . . .
LEN
!
GE
AL
.....
2
Sums of two squares
19–20 correct 2 stars
15–18 correct 1 star
Squares are:
25
1
36
4
49
9
64
100
121
144
......
16
81
PAGE
48
2 5
1 1 1
17 5
......
1
......
20 5
......
1
......
5 5
1 1 4
50 5
......
1
......
25 5
......
1
......
13 5
4 1 9
80 5
......
1
......
125 5
......
1
......
18 5
9 1 9
65 5
......
1
......
85 5
......
1
......
8 5
......
1
......
74 5
......
1
......
61 5
......
1
......
10 5
......
1
......
104 5
......
1
......
169 5
......
1
......
106 5
......
1
......
145 5
......
1
......
26 5
......
1
......
52 5
......
1
......
202 5
......
1
......
313 5
......
1
......
Key Stage 3 National Strategy
© CROWN COPYRIGHT 2001
Write each number below as the sum of two squares.