5th grade math worksheets

These drills include the 11 and 12 times tables, which are still expected in many schools (for example in England by the end of Year 4)..

Two-digit by two-digit multiplication introduces partial products: multiply by the ones digit, then by the tens digit (with a zero placeholder), then add.

Long multiplication of a three-digit number by a two-digit number is a fifth-grade standard (Common Core 5.NBT.B.5).

These sheets extend division facts to the 11 and 12 times tables.

Four-digit dividends add more cycles of the long division algorithm and frequently produce zeros in the quotient, a common source of errors..

Dividing by a two-digit number requires estimating each quotient digit, for example by rounding 47 to 50.

Each fraction can be reduced, and the answer key gives it in lowest terms.

Students compare two fractions with different denominators, either by finding a common denominator or by cross-multiplying.

Students must first rewrite both fractions with a common denominator, ideally the least common multiple.

The larger fraction always comes first, so answers are positive.

Multiply the numerators together and the denominators together, then simplify.

Multiply the whole number by the denominator, add the numerator, and keep the same denominator: 3 1/3 = (3 × 3 + 1)/3 = 10/3..

Divide the numerator by the denominator: the quotient is the whole number and the remainder is the new numerator.

All numbers have two decimal places so the decimal points line up in columns.

Subtraction of decimals with two places, aligned on the decimal point.

Multiply as if there were no decimal points, then count the decimal places in both factors to place the point in the answer.

A gentle introduction to decimal multiplication: one factor is a whole number from 2 to 9, the other has one decimal place..

Multiplying by 10, 100 or 1,000 moves every digit one, two or three places to the left.

Dividing by 10, 100 or 1,000 moves every digit one, two or three places to the right, which often gives a decimal answer: 7,972 ÷ 100 = 79.72..

Each problem divides a number with one decimal place by a whole number from 2 to 9, and every division comes out exactly.

The greatest common factor is the largest number that divides both numbers exactly.

The least common multiple is the smallest number that both numbers divide into exactly.

Each expression has three numbers and two operations.

Expressions mix problems with and without parentheses so students learn when brackets change the answer, for example (3 + 4) × 2 versus 3 + 4 × 2..

An exponent tells how many times the base is multiplied by itself: 4³ = 4 × 4 × 4 = 64.

Every metric conversion multiplies or divides by 10, 100 or 1,000: 1 km = 1,000 m, 1 m = 100 cm, 1 cm = 10 mm, 1 kg = 1,000 g and 1 L = 1,000 mL.

US customary units use different factors: 1 ft = 12 in, 1 yd = 3 ft = 36 in, 1 lb = 16 oz, 1 gal = 4 qt, 1 qt = 2 pt and 1 pt = 2 cups.