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Solving equations such as x + 7 = 15 and 4x = 28 is grade 6 work in the Common Core, where none of the numbers is negative. Start with adding and subtracting, then multiplying and dividing; on the mixed sheet the student has to choose the step, and the letter changes from one equation to the next. The harder sheet adds negative numbers, for a student who can already add, subtract, multiply and divide them.

Solving a one-step equation

Do the opposite of what is done to the letter, to both sides. In x + 7 = 15, 7 is added to x, so subtract 7 from both sides: x = 8. In 4x = 28, x is multiplied by 4, so divide both sides by 4: x = 7. In x/5 = 3, x is divided by 5, so multiply both sides by 5: x = 15. Then check: put the answer back into the equation, and the two sides come out equal.

Related printables 12

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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