Shapes and Data Displays: math practice, Grade 3 – download the PDF

1 Name that quadrilateral ★★★

Name each shape.

1. It has 4 equal sides and 4 right angles.
2. It has 4 right angles and its sides are not all equal.
3. It has 4 equal sides and no right angle.

2 Find the quadrilaterals ★★★

Here are some shapes: triangle, rectangle, pentagon, rhombus, hexagon, square, trapezoid. Which ones are quadrilaterals? How many are there?

3 Sandwich fourths ★★★

Nadia cuts a square sandwich into 4 equal pieces. She eats 1 piece and her brother eats 3 pieces.

1. What is the name of each piece?
2. What fraction of the sandwich does her brother eat?

4 Favorite sports picture graph ★★★

Students voted for their favorite sport.

1. How many votes did soccer get?
2. Which sport got the fewest votes?
3. How many more votes did soccer get than tennis?

5 Measure the crayon ★★★

A crayon lies against a ruler.

How long is the crayon to the nearest quarter inch?

6 Bean line plot ★★★

Mr. Diaz measured dry beans to the nearest quarter inch.

1. How many beans did he measure?
2. How many beans are 1 inch or longer?
3. What is the longest length?

7 True or false? ★★★

Say whether each sentence is true or false. Explain.

1. Every square is a rectangle.
2. Every rectangle is a square.
3. Every square is a rhombus.
4. Every rhombus is a square.

8 A rhombus with 5 cm sides ★★★

A quadrilateral has 4 sides that each measure 5 cm. It has no right angles.

1. What is it called?
2. What is its perimeter?
3. Could it be a square? Why or why not?

9 Garden rectangle ★★★

A rectangular garden is 9 feet long and 4 feet wide.

1. Which sides have the same length?
2. What is the distance around the garden?

10 Sorting by attributes ★★★

Sort these shapes by their attributes.

• Shape P: a square.
• Shape Q: a rectangle 3 inches by 5 inches.
• Shape R: a slanted rhombus.
• Shape S: a trapezoid with different side lengths.

Which shapes have 4 right angles? Which have 4 equal sides? Which have neither?

11 Pizza sixths ★★★

A rectangular pizza is cut into 6 equal pieces. Dani eats the 2 shaded pieces.

1. What fraction of the pizza does each piece show?
2. What fraction did Dani eat?
3. What fraction is left?

12 Are these thirds? ★★★

Tomas says that parts A, B and C are thirds because there are 3 parts.

Is he right? What must be true for the parts to be thirds?

13 Boxes recycled ★★★

A school recycled boxes for five days. The lines on the graph count by 10.

1. On which day were the most boxes recycled?
2. How many boxes in all?
3. Which day had exactly twice as many boxes as Wednesday?

14 Fruit stand picture graph ★★★

A fruit stand sold 14 apples, 6 pears and 10 plums. In a picture graph, one circle stands for 4 fruits. How many circles should you draw in each row? Use half circles when needed.

15 Two ribbons ★★★

The red ribbon is shown on the ruler. The blue ribbon is \(1\dfrac{3}{4}\) inches long.

How much longer is the red ribbon than the blue ribbon?

16 Pencil line plot ★★★

Eight pencils measure (in inches): \(\dfrac{1}{2}\), 1, \(1\dfrac{1}{2}\), 1, \(\dfrac{3}{4}\), 1, \(1\dfrac{1}{2}\), \(\dfrac{1}{2}\).

1. Make a tally table that shows how many pencils have each length.
2. How many X marks go above 1 on a line plot?
3. How many pencils are shorter than 1 inch?

17 Reading a scaled bar graph ★★★

On a bar graph the lines count by 5. The bar for the Tigers ends on the 7th line above 0. The bar for the Hawks is 3 lines shorter.

1. What is the value for the Tigers?
2. What is the value for the Hawks?
3. A bar ends on the line labeled 55. How many lines is that above 0?

18 Rhombus or square? ★★★

Nico says: “A shape with 4 equal sides must be a square.”

Use the shape to show that Nico is wrong. Then say what extra attribute a square needs.

19 Mystery shapes ★★★

Name each shape from its clues.

1. I am a quadrilateral. My opposite sides are equal. I do not have 4 equal sides. All my angles are right angles.
2. I am a quadrilateral with no right angles. Each of my sides is 6 inches. What is my perimeter?

20 Two ways to cut a square ★★★

Two identical squares of cheese have sides of 8 inches. Square 1 is cut into 4 small squares. Square 2 is cut into 4 triangles by two diagonal lines.

1. Is the shaded part \(\dfrac{1}{4}\) of the whole in both squares?
2. What is the area of each shaded part?

21 Hiking trails ★★★

The graph shows how many hikers walked each trail.

1. How many hikers walked in all?
2. How many more hikers walked Trail D than Trail C?
3. Trail C gets 10 more hikers next week. Draw its row: how many circles and half circles?

22 Leaf collection ★★★

Mia measured leaves to the nearest quarter inch.

1. How many leaves did she measure?
2. How many leaves are longer than \(1\dfrac{1}{2}\) inches?
3. What is the difference between the longest and shortest leaf?