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Q1. This diagram shows a square with dots at the vertices and at the middle of each side.
The square is divided into four triangles, A, B, C and D.
Write the letters of all the triangles that have a right angle.
_________________________
Write the letters of all the triangles that have two equal sides.
_________________________
Q2. A shape has 4 right angles. It has 4 sides which are not all the same length.
Write the name of this shape.
Q3.
(a)
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A shape has 4 right angles.
It has 4 straight sides.
All 4 sides are the same length.
Draw what the shape could be.
(b)
A different shape has 4 right angles.
It has 4 straight sides.
It has 2 pairs of parallel lines.
Draw what the shape could be.
(c)
A shape has no right angles.
It has 4 straight sides.
It has 2 pairs of parallel lines.
Draw what the shape could be.
(d) Look at this shape.
Page 2 of 13
Fill in the gaps in the sentences below.
The shape has _______________ right angles.
It has _______________ straight sides.
It has _______________ pairs of parallel lines.
_______________ sides are the same length.
Q4. On the grid join dots to make a triangle which does not have a right angle. Use a ruler.
Q5. Complete the table.
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Q6. (a) Look at these shapes.
Explain why the shapes are hexagons.
(b) Draw a regular hexagon on the grid below.
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Q7. Here are five shapes made from equilateral triangles.
Write the letter of the shape that is a rhombus.
Write the letter of the shape that has only one pair of parallel sides.
Q8. Here are four shapes. They each have a different number of right angles.
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Write the letter for each shape in the correct order.
One has been done for you.
Q9. Here are five shaded triangles on a square grid.
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Write the letter of each triangle that has a right angle.
Write the letter of each triangle that has two equal sides.
Q10. Here are four shapes on a square grid.
Complete the table.
property of shape
is anoctagon
has at least1 right angle
shape A ✘ ✔
shape B ✔ ✘
shape C
shape D ✔
Q11.Put ticks (✔) and crosses (✘) on the chart to complete it correctly. One has been done for you.
Page 7 of 13
Q12. Here is a regular octagon with two vertices joined to make the line AB.
Join two other vertices to draw one line that is parallel to the line AB.
Here is the octagon again.
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Join two vertices to draw one line that is perpendicular to the line AB.
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Answers for learning
Q1.(a) A AND B AND D
(b) A AND C
Q2. rectangle or oblong
Q3. (a) Draws a square
(b) Draws a rectangle, or draws a square that is a different sizefrom the one in part (a)
(c) Draws a parallelogram with no right angles, eg
(d) All four entries correct, ie4424
Q4. Triangles without a right angle drawn in any orientation on the grid, eg
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OR
OR
Q5.
Q6. (a) Gives a correct explanation, eg
• Each shape has six sides
• They all have six corners
• 6 sides
(b) Draws a regular hexagon of any size with vertices on the dots of the grid
•
Q7. (a) E (b) D
Q8.
fewestright angles
mostright angles
C A B D
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Q9. (a) C AND D
(b) A AND D
Q10. Table completed as shown:
property of shape
is anoctagon
has at least1 right angle
shape A
shape B
shape C
shape D
Q11.
Q12.(a) Two vertices joined as shown:
OR
(b)
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OR
OR
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