Required Foundational Knowledge - Cerritos College
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1
2Required Foundational Knowledge
In order to succeed in mathematics you need to have a mastery of some basic facts. The following represent
some basic math facts that you are going to be expected to know by heart (or have memorized) as we progress
through this course.
You will need to be familiar with some common two-digit sums.
Sum of 10
Sum of 11
Sum of 12
Sum of 13
Sum of 14
Sum of 15
1 + 9
= 10
1 + 10
= 11
1 + 11
= 12
1 + 12
= 13
1 + 13
= 14
1 + 14
= 15
2 + 8
= 10
2 + 9
= 11
2 + 10
= 12
2 + 11
= 13
2 + 12
= 14
2 + 13
= 15
3 + 7
= 10
3 + 8
= 11
3 + 9
= 12
3 + 10
= 13
3 + 11
= 14
3 + 12
= 15
4 + 6
= 10
4 + 7
= 11
4 + 8
= 12
4 + 9
= 13
4 + 10
= 14
4 + 11
= 15
5 + 5
= 10
5 + 6
= 11
5 + 7
= 12
5 + 8
= 13
5 + 9
= 14
5 + 10
= 15
6 + 6
= 12
6 + 7
= 13
6 + 8
= 14
6 + 9
= 15
7 + 7
= 14
7 + 8
= 15
Sum of 16
Sum of 17
Sum of 18
Sum of 19
Sum of 20
Sum of 21
1 + 15
= 16
1 + 16
= 17
1 + 17
= 18
1 + 18
= 19
1 + 19
= 20
1 + 20
= 21
2 + 14
= 16
2 + 15
= 17
2 + 16
= 18
2 + 17
= 19
2 + 18
= 20
2 + 19
= 21
3 + 13
= 16
3 + 14
= 17
3 + 15
= 18
3 + 16
= 19
3 + 17
= 20
3 + 18
= 21
4 + 12
= 16
4 + 13
= 17
4 + 14
= 18
4 + 15
= 19
4 + 16
= 20
4 + 17
= 21
5 + 11
= 16
5 + 12
= 17
5 + 13
= 18
5 + 14
= 19
5 + 15
= 20
5 + 16
= 21
6 + 10
= 16
6 + 11
= 17
6 + 12
= 18
6 + 13
= 19
6 + 14
= 20
6 + 15
= 21
7 + 9
= 16
7 + 10
= 17
7 + 11
= 18
7 + 12
= 19
7 + 13
= 20
7 + 14
= 21
8 + 8
= 16
8 + 9
= 17
8 + 10
= 18
8 + 11
= 19
8 + 12
= 20
8 + 13
= 21
9 + 9
= 18
9 + 10
= 19
9 + 11
= 20
9 + 12
= 21
10 + 10
= 20
10 + 11 = 21
Also, you are expected to know your Multiplication Table facts 1 – 10 and know some of the more common
perfect squares and perfect cubes.
Perfect Squares
Perfect Cubes
Multiplication Table 1 – 10
2
3
1
=
1
1
=
1
2
3
×
0
1
2
3
4
5
6
7
8
9
10
2
=
4
2
=
8
2
3
3
=
9
3
=
27
0
0
0
0
0
0
0
0
0
0
0
0
2
3
4
=
16
4
=
64
2
3
5
=
25
5
=
125
1
0
1
2
3
4
5
6
7
8
9
10
2
3
6
=
36
6
=
216
2
3
2
0
2
4
6
8 10 12 14 16 18 20
7
=
49
7
=
343
2
3
8
=
64
8
=
512
3
0
3
6
9 12 15 18 21 24 27 30
2
3
9
=
81
9
=
729
2
3
10
=
100
10
=
1000
4
0
4
8 12 16 20 24 28 32 36 40
2
11
=
121
2
5
0
5 10 15 20 25 30 35 40 45 50
12
=
144
2
13
=
169
6
0
6 12 18 24 30 36 42 48 54 60
2
14
=
196
2
15
=
225
7
0
7 14 21 28 35 42 49 56 63 70
Perfect Squares & Cubes:
2
16
=
256
You are expected to
2
17
=
289
8
0
8 16 24 32 40 48 56 64 72 80
have the highlighted
2
18
=
324
facts memorized.
9
0
9 18 27 36 45 54 63 72 81 90
2
19
=
361
2
20
=
400
10 0 10 20 30 40 50 60 70 80 90 100
2
25
=
625
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