MATH

PRACTICE

Tables (1–20) · Squares (1–30) · Cubes (1–15) · Fractions

Select Topic Tables 1–10

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TABLE

7 × 8

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REFERENCE BOOK

Tables (1–20), Squares (1–30), Cubes (1–15), Fractions

Halves, Quarters & Eighths

1/250%

1/425%

3/475%

1/812.5%

3/837.5%

5/862.5%

7/887.5%

1/166.25%

Thirds, Sixths & Ninths

1/333.33%

2/366.67%

1/616.67%

5/683.33%

1/911.11%

2/922.22%

4/944.44%

5/955.55%

7/977.77%

Fifths, Tenths & Decimal Multiples

1/520%

2/540%

3/560%

4/580%

1/1010%

1/205%

1/254%

1/502%

Sevenths, Elevenths & Others

1/714.28%

2/728.57%

3/742.85%

1/119.09%

2/1118.18%

1/128.33%

1/147.14%

1/156.67%

1. The 9's Table Rule

For 9 × n: Tens digit is (n - 1). Units digit adds up to 9 with the tens digit. Example: 9 × 7 = 63 (6 + 3 = 9).

2. Squaring Numbers Ending in 5

For any number ending in 5 (e.g. n5): multiply n × (n + 1), then write 25 at the end.
Example: 25² = (2 × 3) & 25 = 625. 35² = (3 × 4) & 25 = 1225.

3. Cubes Last Digit Invariant

Cubes of 0, 1, 4, 5, 6, 9 retain the exact same last digit! 2 and 8 swap (2³=8, 8³=...2). 3 and 7 swap (3³=27, 7³=...3).

4. Tables 11 to 20 Mental Splitting

Split into 10s and units:
19 × 7 = (20 × 7) - 7 = 140 - 7 = 133.
14 × 8 = (10 × 8) + (4 × 8) = 80 + 32 = 112.