Multiplication worksheets
Practice products of two whole numbers from the range you choose. The answer key lists each product.
GCF and LCM worksheets
Twenty pairs of numbers a page: find the greatest common factor, the least common multiple, or both; or six pairs to break into prime factors with a factor tree, then find both. Every sheet has a number that divides the other, two numbers with no common factor but 1, and pairs whose LCM is less than the two multiplied. The answer key lists the factors, multiples or primes each answer comes from. New pairs each time.
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Which sheet to choose
In the Common Core, the greatest common factor of two numbers up to 100 and the least common multiple of two numbers up to 12 are grade 6 work, and the GCF and the LCM sheets keep to those limits. Start with the GCF or the LCM alone, then both for each pair, with numbers from 4 to 30. The sheet with prime factors uses numbers from 12 to 100 and suits a student who has met factor trees.
Finding the GCF and the LCM
The greatest common factor is the largest number that divides both: list the factors of each, 18 (1, 2, 3, 6, 9, 18) and 24 (1, 2, 3, 4, 6, 8, 12, 24), and take the largest in both lists, 6. The least common multiple is the smallest number both divide into: count up in 6s and in 8s, 6, 12, 18, 24 and 8, 16, 24, and the first number in both is 24. Multiplying the two numbers gives a common multiple, 48, but not always the least.
With prime factors
Break each number into primes with a factor tree: 36 = 2 × 2 × 3 × 3 and 48 = 2 × 2 × 2 × 2 × 3. The GCF multiplies the primes the two share, 2 × 2 × 3 = 12. The LCM takes every prime of one number and adds those the other has left over: 2 × 2 × 2 × 2 × 3 × 3 = 144. The GCF times the LCM always equals the two numbers multiplied: 12 × 144 = 36 × 48 = 1,728.
“Least common factor”
Searches often ask for the least common factor, but the smallest factor any two whole numbers share is always 1. What a sheet or a teacher means is nearly always the least common multiple or the greatest common factor, the two this page practises.
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Addition worksheets
Add pairs of whole numbers from your chosen range. Write each sum in the blank and check it against the answer key.
Subtraction worksheets
Subtract the smaller whole number from the larger one. Answers are zero or positive, with a separate key for checking.
Division worksheets
Divide a whole-number product by one of its factors. Every question has a whole-number answer; these sheets do not use remainders.
Fractions worksheets
Add two fractions with the same denominator. The answer key reduces each result by its greatest common divisor.
Telling time worksheets
Read an analogue clock and write its time. Questions use five-minute intervals, with the hour and minute in the answer key.
Counting money worksheets
Count the coins and write the total in cents: pennies, nickels, dimes and quarters drawn at their real size, six groups a page, totals under a dollar, with the answers on the key. Leave out the quarters for an easier sheet. New coins each time.
Number bonds worksheets
Number bonds to 10: the whole in the top circle, its two parts below, and one of the three left empty to fill in. Choose the largest whole, up to 100, and how many bonds; the answer key is on the last page.
Place value worksheets
Place value practice with numbers of 2 to 5 digits: half the questions ask what one digit is worth, as the 4 in 3,482 is worth 400, and half ask for the number in expanded form, as 3,000 + 400 + 80 + 2. The answer key is on the last page.
Measuring length worksheets
Six lines drawn at their true length, to measure with a ruler from the left end and write down to the nearest half inch, then two lines to draw at a given length, with a ruler to cut out at the foot of the page and the answers on page 2. Choose whole, half, quarter or eighth inches, or whole or half centimetres.
Measuring angles worksheets
Six angles a page, drawn at their true size from 10 to 170 degrees in steps of 5, to measure with a protractor and circle as acute, right or obtuse, with the answers on the key. One arm lies flat to start, pointing left or right; on the harder sheet both arms turn. New angles each time.
2D shapes worksheets
Eight flat shapes a page to name, and to count the sides and corners of: triangle, square, rectangle, rhombus, trapezoid, pentagon, hexagon, octagon, circle and oval, with the answers on the key. On the harder sheet each shape is turned and the triangles and rectangles change shape, so the name rests on the sides. New shapes each time.
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