Excerpt from Beast Academy Practice 4C. (C) 2014 www.BeastAcademy.com
INTEGERS
Addit ion R e v ie w
EXAMPLE
9JCVKU!
Consider the computation on the number line.
9GUVCTVCVCPFOQXGWPKVUVQVJGTKIJV
This brings us 25 units closer to zero. We end
WRŦWPKVUVQVJGNGHVQH\GTQCV-13.
25
PRACTICE
0
Compute each sum below.
82.
AAAAAAAA
83.
(
AAAAAAAA
84.
AAAAAAAA
85.
AAAAAAAA
86.
AAAAAAAA
87.
AAAAAAAA
88.
AAAAAAAA
89.
AAAAAAAA
90.
(AAAAAAAA
91.
AAAAAAAA
92. 9JKEJPWODGTKUOQTGVJCP!
92. _______
93. 9JCVFQ[QWIGVYJGP[QWCFFVQVJGUWOQHCPF!
93. _______
94.
Without computing the sums below, circle those that are negative.
;QWECPſPFOQTGRTCEVKEGRTQDNGOUCV$GCUV#ECFGO[EQO
84
Beast Academy Practice 4C
Find the next three terms in the pattern below.
__, __, __
Each term in the pattern is 2 more than the one before it.
+2 +2 +2
__, __, __
So, we continue the pattern by adding 2’s.
+2 +2 +2 +2 +2 +2
__,
-1 __,
1 __
3
PRACTICE
Addit ion P a t t e rns
EXAMPLE
INTEGERS
Excerpt from Beast Academy Practice 4C. (C) 2014 www.BeastAcademy.com
(KNNKPVJGDNCPMUKPGCEJUMKREQWPVKPIRCVVGTPDGNQY
95. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
96. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
97. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
98.
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
99. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
100. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
101. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Beast Academy Practice 4C
85
Excerpt from Beast Academy Practice 4C. (C) 2014 www.BeastAcademy.com
INTEGERS
Sum Squa re s
In a Sum Square puzzle, the digits 1 through 9 are used to
ſNNVJGPKPGUSWCTGUKPVJGITKFQPGFKIKVRGTUSWCTG
Some of the numbers in the grid are positive, and some are
negative.
The numbers above and to the left of the grid give the sum
of the integers in each column and row. On the right is an
example of a completed Sum Square.
EXAMPLE
4
1
10
11 6
8
9
1
5
0
Complete the Sum Square puzzle below.
5
6
12
0
1
6
First, we look at the left column. We have 1+ 6JKUUKORNKſGUVQ 5KPEG -2 YGſNNVJG
OKFFNGUSWCTGQHVJGNGHVEQNWOPYKVJCUUJQYP
-2
6JGTGOCKPKPIFKIKVUCTGCPF
The two missing entries in the middle row must sum
VQDGECWUG6JGQPN[YC[VQIGVCUWO
QHHTQOVYQQHVJGTGOCKPKPIFKIKVUKU
6
6
We learned above that the 8 is in the middle row.
So, we place the 8 as shown in the center square,
with the 9 above it.
1
6
5
12
0
1
-2
Similarly, the two missing entries in the middle column
OWUVUWOVQDGECWUG6JGQPN[YC[VQIGV
CUWOQHHTQOVYQQHVJGTGOCKPKPIFKIKVUKU
12
6
5
12
1
9
-2
8
6
5
12
0
1
9
-4
-2
8
7
6
0
6JGTGOCKPKPIFKIKVUCTGCPF
In the top row, we have 1+9+ -4 CPFKPVJGOKFFNG
TQYYGJCXG 7 All the digits have now been placed, and we check the
sum of the integers in each row and column.
86
6
6
Beast Academy Practice 4C
Excerpt from Beast Academy Practice 4C. (C) 2014 www.BeastAcademy.com
INTEGER
S
Sum Sq u a res
PRACTICE
16
102.
12
1
6
Complete each Sum Square puzzle below.
9
9
2
9
0
6
5
0
0
1
0
0
Beast Academy Practice 4C
9
1
2
20
107.
12
0
8
15
4
8
105.
0
2
0
0
0
106.
103.
9
20
104.
20
0
9
87