Multiplication worksheets
Practice products of two whole numbers from the range you choose. The answer key lists each product.
Slope worksheets
Twenty pairs of points to find the slope between, or six graphs a page: find the slope of each line, graph each line from y = mx + b, or write the equation of each line. Every sheet mixes slopes up and down, whole numbers and fractions. Answer key. New questions each time.
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Which sheet to choose
In the Common Core, slope and the equation y = mx + b are grade 8 work. Start with two points, where the slope is worked out from the numbers. Then read it from a graph, graph lines from their equations, and write the equation of a line from its graph.
How to find a slope
The slope is the change in y over the change in x. For (2, 3) and (6, 11), it is (11 − 3) ÷ (6 − 2) = 8/4 = 2. Take both differences in the same order, second point minus first; the other order gives the same slope. On a graph, count the rise, up positive and down negative, then the run to the right. A horizontal line has a slope of 0. A vertical line’s slope is not defined, because its run is 0 and no number can be divided by 0.
Slope-intercept form
In y = mx + b, m is the slope and b is the y-intercept, where the line crosses the y-axis. To graph y = 2/3x − 1, plot (0, −1), go 3 right and 2 up to (3, 1), and draw the line through both points.
Related printables 12
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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