12 marks
The diagram shows a solid prism.
On the centimetre square grid, draw the side elevation of the solid prism from the direction shown by the arrow.
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Symmetry & Shapes (OCR GCSE Maths: Higher): Exam Questions
Exam code: J560
1 hour27 questions
2a2 marks
The diagram shows a solid prism.
On the grid below, draw the front elevation of the prism from the direction of the arrow.
2b2 marks
On the grid below, draw the plan of the prism.
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3a2 marks
The diagram shows a solid prism made from centimetre cubes.
On the centimetre square grid, draw the front elevation of the solid prism from the direction shown by the arrow.
3b2 marks
On the centimetre square grid below, draw the plan of the solid prism.
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42 marks
The diagram represents a solid made from seven centimetre cubes.
On the centimetre grid below, draw a plan of the solid.
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51 mark
The diagram shows a kite, ABCD. AFE and CEF are equilateral triangles.
Write down a mathematical name for quadrilateral AFCE.
[1]
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62 marks
The diagram shows a circle, centre O.
Write down the mathematical name of
i) line A,
[1]
ii) shaded region B.
[1]
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71 mark
Circle the solid that has 7 vertices.
hexagonal prism | hexagon-based pyramid | pentagonal prism | pentagon-based pyramid |
[1]
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81 mark
Here is a circle.
Circle the word that describes the shaded part.
segment | chord | sector | arc |
[1]
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9a1 mark
A solid shape is drawn on isometric paper.
On the centimetre grid, draw the elevation of the shape from A.
[1]
9b1 mark
On the centimetre grid, draw a plan of the shape.
[1]
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10a1 mark
Complete each statement.
A quadrilateral with only one pair of parallel sides is called a ............................................... .
[1]
10b1 mark
An angle greater than 90° but less than 180° is called ............................................... .
[1]
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11a1 mark
The diagram shows a regular pentagon and a kite. Complete the following statements.
The regular pentagon has ................................... lines of symmetry.
[1]
11b1 mark
The kite has rotational symmetry of order ................................... .
[1]
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12a1 mark
Here is a shape.
On the diagram, draw the shape's line of symmetry.
12b1 mark
Here is another shape.
Write down the order of rotation symmetry of the shape.
12c1 mark
Sketch a quadrilateral that has exactly two lines of symmetry.
12d1 mark
Write down the mathematical name of your quadrilateral.
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13a1 mark
Write down the mathematical name of this polygon.
13b1 mark
How many faces does a square-based pyramid have?
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1a2 marks
Here are the plan and front elevation of a solid shape.
On the grid below, draw the side elevation of the solid shape.
1b2 marks
In the space below, draw a sketch of the solid shape.
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24 marks
The diagram shows a prism with a cross section in the shape of a trapezium.
On the centimetre grid below, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.
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3a2 marks
Here is a solid square-based pyramid, .
The base of the pyramid is a square of side 6 cm.
The height of the pyramid is 4 cm.
is the midpoint of and = 5 cm.
Draw an accurate front elevation of the pyramid from the direction of the arrow.
3b4 marks
Work out the total surface area of the pyramid.
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43 marks
Here is a sketch of a quadrilateral.
All lengths are in centimetres.
Tick one box for each statement.
| True | May be true | Not true |
The quadrilateral is a rectangle |
|
|
|
The quadrilateral is a parallelogram |
|
|
|
The quadrilateral is a rhombus |
|
|
|
The quadrilateral is a kite |
|
|
|
[3]
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51 mark
Tick all the statements that are true for any rhombus.
The diagonals are lines of symmetry
The diagonals bisect each other
The diagonals are perpendicular
The diagonals are equal in length
[1]
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6a1 mark
This shape is made from two triangles and four congruent parallelograms.
For each statement, tick the correct box.
The triangles are equilateral.
Must be true | |
Could be true | |
Must be false |
[1]
6b1 mark
The triangles are congruent.
Must be true | |
Could be true | |
Must be false |
[1]
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71 mark
Write down the order of rotational symmetry of the diagram.
[1]
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81 mark
The diagram shows a pyramid with a square base.
The triangular faces are congruent isosceles triangles.
Write down the number of planes of symmetry of this pyramid.
[1]
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91 mark
The diagram shows a cuboid. = 8 cm, = 4 cm and = 5 cm.
Write down the number of planes of symmetry of this cuboid.
[1]
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12 marks
Here are the front elevation and the plan of a prism.
On the grid below, draw the side elevation of the prism.
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22 marks
The plan, front elevation and side elevation of a solid prism are drawn on a centimetre grid.
In the space below, draw a sketch of the solid prism.
Write the dimensions of the prism on your sketch.
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32 marks
The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.
In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.
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41 mark
Here is a cube with edge length cm
One diagonal is shown.
The total length, in centimetres, of the edges of the cube is a multiple of 18
Circle the correct statement.
is a whole number | is not a whole number | might be a whole number |
[1]
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51 mark
The cross section of a prism has sides.
Circle the expression for the number of edges of the prism.
[1]
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