
21 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!
1 Name the polygon ★★★
Write the name of each polygon.
- It has 3 sides.
- It has 5 sides.
- It has 4 sides.
- It has 6 sides.
2 Count sides and vertices ★★★
Look at the shape.
How many sides does it have? How many vertices? What is its name?
3 Facts about a cube ★★★
Fill in the blanks about a cube: it has ___ faces, ___ edges and ___ vertices. The shape of each face is a ___.
4 Rows and columns ★★★
Here are the stickers on a page.
How many rows are there? How many columns? Write a repeated addition sentence by rows.
5 Cut a sandwich ★★★
Mia cuts a sandwich into 2 equal parts. What do we call each part? How many of these parts make the whole sandwich?
6 Name the shaded part ★★★
A circle is cut into equal parts.
How many equal parts are there? What fraction word names the shaded part?
7 True or false? ★★★
Say true or false. Explain each answer.
- A square is a quadrilateral.
- A triangle has 4 vertices.
- A circle is a polygon.
8 Cookies on a tray ★★★
A baker puts cookies on a tray in 3 rows of 5. Write a repeated addition sentence by rows and by columns. How many cookies are on the tray?
9 A growing garden ★★★
A garden has 3 rows with 4 plants in each row. Then Omar adds one more row of 4 plants. How many plants are there now?
10 Squares in a rectangle ★★★
A rectangle is partitioned into equal squares.
How many rows and columns are there? Write an addition sentence to find the number of squares.
11 Two friends share cornbread ★★★
Two friends share a rectangular pan of cornbread. Nina cuts along the middle line. Her friend cuts from corner to corner. Both cuts make 2 equal pieces. Are the pieces the same shape? Is each friend getting a half?
12 Name the shaded fraction ★★★
Look at the circle.
Into how many equal parts is it cut? Name one shaded part. How many parts like it make the whole circle?
13 Shape riddles ★★★
Name the shape.
- I have 4 sides and 4 square corners. My sides are all the same length.
- I have 6 sides.
- I have 3 vertices.
14 Equal or not? ★★★
Maya says both rectangles are cut into halves.
Is Maya right about each rectangle? Explain.
15 Two cubes ★★★
Leo has 2 toy cubes. How many square faces do they have in all? How many edges in all? How many vertices in all?
16 Riddle with numbers ★★★
Solve the riddles.
- I have 2 more sides than a quadrilateral. What am I?
- I have 1 fewer side than a hexagon. What am I?
- How many sides do the two shapes have in all?
17 The baker and her trays ★★★
A baker makes 5 rows of 5 muffins. Then 7 muffins are sold. How many muffins are left? Can she put the muffins left into 3 equal rows? How many in each row?
18 Shading half and a fourth ★★★
A rectangle is partitioned into 4 rows of 5 equal squares.
- How many squares are there?
- How many squares do you shade to show one half?
- How many squares make one fourth?
19 Halves of different wholes ★★★
Ana has half of a small pizza. Ben has half of a big pizza. Ben says, “My half is the same as your half.” Is he right? Explain.
20 Which is smaller? ★★★
Two circles are the same size.
Which shaded part is smaller? Explain why, using the number of equal parts.
21 Build an array ★★★
A rug has 3 rows of 5 squares. Write the sentence by rows and by columns. Then add 2 more rows of 5. How many squares are there in the end?
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