Combining Simple Shapes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Combining Simple Shapes

Mathematics · Geometry · ages 5-6
Name ______________________   Date ____________

  1. The two triangle pieces from a rectangle cut corner to corner can make the rectangle again. Is that right?

    Circle one:   True   False

  2. Take the two triangle pieces from a rectangle cut corner to corner. Join them along the cut edges. Which shape can you make?

    • oval
    • star
    • rectangle
    • circle

  3. A rectangle is cut from corner to corner. Which two parts fit back together to make the rectangle?

    • Matching triangles
    • Two circles
    • Two hearts

  4. You can combine different shapes, like a triangle and a square, to make a picture.

    Circle one:   True   False

  5. A picture uses 4 triangles and 2 squares. How many shapes is that?

    Answer: ______________

  6. Lily wants her boat picture to have a pointy sail on top and a long hull below. Which shapes could she use?

    • A triangle and a rectangle
    • Only one circle
    • Shapes cannot make pictures

  7. Ben puts one matching triangle piece at each corner of his hexagon puzzle. Which bag holds exactly enough pieces, with none left over?

    • 5 pieces
    • 4 pieces
    • 7 pieces
    • 6 pieces

  8. Join two same-size squares with a full side together. What do you get?

    • a hexagon
    • a rectangle
    • a triangle
    • a circle

  9. Sam tries to combine a triangle and a circle to make a rectangle. Did it work?

    • Yes, it made a perfect rectangle
    • No, the circle leaves gaps
    • Yes, only if the circle is very big

  10. A design has 5 rectangles and 7 triangles. How many shapes in total?

    Answer: ______________

LightMySky · lightmysky.comW1-mt_XjwUlmxdCT-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Combining Simple Shapes W1-mt_XjwUlmxdCT-s1

  1. True · Right. The cut pieces fit back together.
  2. rectangle · The two cut pieces fit back into their rectangle.
  3. Matching triangles · The two matching triangles are the cut parts, so they fit back together into the rectangle.
  4. True · Different shapes can join together to build one picture.
  5. 6 · 4 plus 2 is 6 shapes.
  6. A triangle and a rectangle · A triangle sail and a long hull make the boat picture.
  7. 6 pieces · Six corners need six pieces. A bag of 6 leaves none left over.
  8. a rectangle · The doubled square is a rectangle.
  9. No, the circle leaves gaps · The circle has no straight side to press flat, so the parts cannot form a rectangle.
  10. 12 · 5 plus 7 is 12 shapes.
Worksheet · LightMySky