Download Shape and Angles (level 5) - International School of Madrid

International School of Madrid
SHAPE & ANGLES – LEVEL 5
Q1.The following quadrilaterals all have a perimeter of 36cm.
Here is a table to show the length of each side.
Complete the table.
One quadrilateral is done for you.
Side lengths
square
9cm
rectangle
3cm
rhombus
9cm
kite
10cm
9cm
9cm
9cm
2 marks
Q2.
Liam has two rectangular tiles like this.
He makes this L shape.
What is the perimeter of Liam’s L shape?
cm
1 mark
Page 1
International School of Madrid
Q3.
Here is a square grid.
Two sides of a kite are drawn on the grid.
Complete the kite by drawing the two missing sides.
Use a ruler.
1 mark
Q4.
This is a centimetre grid.
Draw 3 more lines to make a parallelogram with an area of 10cm2
Use a ruler.
1 mark
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Q5.
On the grid below, use a ruler to draw a pentagon that has three right angles.
1 mark
Q6.
Here is a grid of dots.
Point A and point B are joined by a straight line.
Draw a line to join point A to another dot on the grid so that the two lines make a right
angle.
Use a ruler.
1 mark
Page 3
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Q7.
Here is a shape on a square grid.
For each sentence, put a tick ( ) if it is true.
Put a cross ( ) if it is not true.
Angle C is an obtuse angle.
Angle D is an acute angle.
Line AD is parallel to line BC.
Line AB is perpendicular to line AD.
2 marks
Page 4
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Q8.
Jamie draws a triangle.
He says,
‘Two of the three angles in my triangle are obtuse’.
Explain why Jamie cannot be correct.
1 mark
Q9.
Here are four statements.
For each statement put a tick ( ) if it is possible.
Put a cross ( ) if it is impossible.
A triangle can have 2 acute angles.
A triangle can have 2 obtuse angles.
A triangle can have 2 parallel sides.
A triangle can have 2 perpendicular sides.
2 marks
Page 5
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Q10.
An isosceles triangle has a perimeter of 12cm.
One of its sides is 5cm.
What could the length of each of the other two sides be?
Two different answers are possible.
Give both answers.
cm
and
cm
cm
and
cm
2 marks
Q11.
Triangle ABC is isosceles and has a perimeter of 20 centimetres.
Sides AB and AC are each twice as long as BC.
Calculate the length of the side BC.
Do not use a ruler.
2 marks
Page 6
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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.
1 mark
Here is the octagon again.
Join two vertices to draw one line that is perpendicular to the line AB.
1 mark
Page 7
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Q13.
The diagram shows four lines drawn on a square grid.
The lines are AB, BC, CD and DA.
Which two of the lines are parallel?
Circle them in the list below.
AB
BC
CD
DA
1 mark
Which two of the lines are perpendicular?
Circle them in the list below.
AB
BC
CD
DA
1 mark
Page 8
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Q14.
Here is an equilateral triangle inside a rectangle.
Calculate the value of angle x.
Do not use a protractor (angle measurer).
2 marks
Page 9
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Q15.
Look at this diagram.
Calculate the size of angle x and angle y.
Do not use a protractor (angle measurer).
x
1 mark
y
1 mark
Q16.
Not to scale
Calculate the size of angle y in this diagram.
Do not use a protractor (angle measurer).
y =°
°
1 mark
Page 10
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Q17.The diagram shows an isosceles triangle and a square on a straight line.
Calculate angle α.
2 marks
Q18.
PQ is a straight line.
Not drawn accurately
Calculate the size of angle x.
Do not use a protractor (angle measurer).
°
1 mark
Page 11
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Q19.
Seb has some cubes with a cross on each face andsome cubes with a circle on each
face.
He sticks five cubes together to make this shape.
How many crosses and how many circles are there on the outside of the shape?
Number of crosses
1 mark
Number of circles
1 mark
Page 12
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Q20.
This cube has shapes drawn on three of its faces.
The cube is turned to look like this.
Draw and shade the missing shapes.
2 marks
Page 13
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Q21.
Cubes have been stuck together to make this block.
The block has a pattern on two faces.
The block is turned to the position below.
Draw the missing parts of the pattern on it.
2 marks
Page 14
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Q22.
A cube has shaded shapes on three of its faces.
Here is a net of the cube.
Draw in the two missing shaded shapes.
1 mark
Page 15
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Q22.
A cube has shaded triangles on three of its faces.
Here is the net of the cube.
Draw in the two missing shaded triangles.
1 mark
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