q1. radius q2. q3. · 2020-07-03 · page 1 of 15 q1.a bicycle wheel has a diameter of 64 cm.what...

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Q1.A bicycle wheel has a diameter of 64 cm.What is the radius of the bicycle wheel?

Q2.Look at the letters below.Circle the letter below that has both parallel and perpendicular lines.

Q3.The diagonals of this quadrilateral cross at right angles.

Tick all the quadrilaterals that have diagonals which cross at right angles.

Q4.Anna has four different triangles.Complete the table to show the size of the angles in each triangle.

Type of triangle Angle 1 Angle 2 Angle 3

Isosceles 90°

Right-angled 80°

Isosceles 70°

Isosceles 70°

Q5.Here is a shape on a grid.

For each statement, put a tick (✔) if it is true.Put a cross (✘) if it is not true.

The shape is a quadrilateral.

The shape has 2 lines of symmetry.

The shape is a parallelogram.

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The shape has one right angle.

Q6.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.

Q7.Here are six shapes on a square grid.

Write the letters of all the shapes that are squares.

Q8.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.

Q9.Here is one side of a square drawn on a coordinate grid.

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The square has a vertex at (6, 1).Draw the other three sides of the square on the grid.Use a ruler.

Q10.Here are six quadrilaterals with their mathematical names.

Lara chooses one of the quadrilaterals.She says,‘It has two acute angles.All four sides are the same length’.Which quadrilateral did Lara choose? Stefan chooses one of the quadrilaterals. He says,‘It has more than one obtuse angle.It has no parallel sides’.Which quadrilateral did Stefan choose?

Q11.Here are four shapes in a Carroll diagram.

Regular Not regular

Quadrilateral

Not a quadrilateral

Use this information to write the letters A, B and D in the Venn diagram below.

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.

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Here is the octagon again.Join two vertices to draw one line that is perpendicular to the line AB.

Q13.Here are some shapes on a grid.

Write the letter of each shape that has one pair of parallel sides.

Q14.A, B, C and D are the vertices of a rectangle.A and B are shown on the grid.

D is the point (3, 4)Write the coordinates of point C.

Q15.The diagram shows two identical squares.

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A is the point (10, 10) What are the coordinates of B and

c?

Q16.Here is a kite.

Write the coordinates of point D.

Q17.An isosceles triangle has a perimeter of 12 cm.One of its sides is 5 cm.What could the length of each of the other

two sides be?Two different answers are possible.Give both answers.

Q18.Here are four shapes.They each have a different number of right angles.

Write the letter for each shape in the correct order.

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One has been done for you.

Q19.The shaded shape is a parallelogram.

Write in the coordinates of point A.

Q20.This is a centimetre grid.On the grid draw a triangle which has an area of 7.5 cm2 and which has an obtuse angle.

Use a ruler.

Q21.

Jack says,

“My rhombus is a regular quadrilateral.”Explain why Jack is not correct.

Q22.Use these measurements to complete the sentences below.

The radius of a circle is _________ cm;its diameter is __________ cm and its circumference is approximately _____________ cm.

Q23.Here are six triangles. One of them is an equilateral triangle.Put a tick (✔) in the equilateral triangle.

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Write one property which makes equilateral triangles different from all other triangles.

Q24.Here are some shapes.

Write the letters B and C in the sorting diagram below to show where shapes B and C should go. Shape A is done for you.

Q25.A shape has 4 right angles.It has 4 sides which are not all the same length.Write the name of this shape.

Q26.Complete the table.

Q27.Here are 4 shapes.

Each shape has two parallel sides. Write TWO other things which are the same about ALL the 4 shapes.

1. _________________________________________________________________

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2. _________________________________________________________________

Q28.Here are two shapes made with centimetre squares.

Each shape has 5 squares.Write ONE other thing which is the same about the two shapes.

___________________________________________________________________ ___________________________________________________________________ Here are more shapes made with centimetre squares.

Which shape has a perimeter of 10 cm?

Q29.Join the dots to make 4 different triangles.One has been done for you.

Q30.A circle has a diameter of 22 cm.What is the length of its radius?

Q31.Joining points

There are twelve points marked around this circle.The points are equally spaced. You can join 4 points to

make a rectangle. (a) Join 4 points to make a square.

(b) Join 3 points to make an equilateral triangle.

(c) Join a different set of 3 points to make an isosceles triangle.

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Mark schemes Q1.

32 [1]

Q2. The correct letter circled as shown:

Accept alternative unambiguous positive indications, e.g. letter ticked.

[1]

Q3. Award TWO marks for both kite AND square ticked as shown.

If the answer is incorrect, award ONE mark for: • kite AND square and not more than one incorrect shape ticked. OR

• one correct shape only ticked. Accept alternative unambiguous positive indications, e.g. shapes circled.

Up to 2m

[2]

Q4. Completes all four rows of the table correctly, eg:

90° 45° 45°

80° 90° 10°

70° 70° 40°

70° 55° 55°

Accept angles within a row in either order Accept the bottom two rows may be given in either order ! Condone omission of degree signs ! For 2 marks, do not accept correct angles in 3rd

row repeated in 4th row, in either order 2

or Completes three rows correctly

1

[2]

Q5. Award TWO marks for all four boxes ticked or crossed correctly as shown:

If the answer is incorrect, award ONE mark for three boxes ticked or

crossed correctly.

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Accept alternative unambiguous indications eg Y or N. For TWO marks accept:

Up to 2m

[2]

Q6. (a) A AND B AND D

Letters may be given in any order. 1

(b) A AND C Letters may be given in any order.

1

[2]

Q7. A AND D AND E

Letters may be given in any order. [1]

Q8. Diagram completed correctly as shown:

Accept slight inaccuracies in drawing.

[1]

Q9. Diagram completed as shown:

Accept slight inaccuracies in drawing

[1]

Q10. (a) rhombus

Accept unambiguous abbreviations or recognisable misspellings. 1

(b) kite Accept unambiguous abbreviations or recognisable misspellings.

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1

[2]

Q11. Award TWO marks for the three letters written in the correct regions as shown:

If the answer is incorrect, award ONE mark for two letters written in the

correct regions. Do not accept letters written in more than one region. Accept alternative unambiguous indications, eg lines drawn from the shapes to the appropriate regions of the diagram. Accept unambiguous shapes drawn in the appropriate regions of the diagram.

Up to 2 (U1)

[2]

Q12. (a) Two vertices joined as shown:

OR

Accept slight inaccuracies in drawing provided the intention is clear. Accept two lines if both are correct.

1

(b)

OR

OR

Accept slight inaccuracies in drawing, provided the intention is clear. Accept more than one line if all are correct. Accept a line perpendicular to AB, drawn from one vertex , which meets or crosses AB, eg

1

[2]

Q13. A AND C

Answers may be given in either order.

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[1]

Q14. (5, 2)

Coordinates must be written in the correct order. Accept unambiguous answers written on the diagram.

[1]

Q15. (a) (0, 10)


1

(b) (10, 20) If the answer for part (a) is (10, 0) AND the answer to (b) is (20, 10), award ONE mark only, in the part (b) box.

1

[2]

Q16. (5, 2)

Coordinates must be in the correct order. Accept unambiguous answers written on the diagram.

[1]

Q17. Award TWO marks for two different answers as shown:

AND

If the answer is incorrect, award ONE mark for any one of the above answers.

The two answers may be given in either order. Do not accept ‘5 and 2’ AND ‘2 and 5’ for two marks.

Up to 2

[2]

Q18. Letters written in order as shown:

fewest right angles

most right angles

C A B D

Letters must be in the correct order. Accept the correct number of right angles written instead of letters, eg

fewest right angles

most right angles

C 2 3 4 [1]

Q19. (40, 27)


[1]

Q20. Award TWO marks for any obtuse-angled triangle with an area of 7.5 cm2, eg

If the answer is incorrect, award ONE mark for any triangle with an area of 7.5 cm2

(irrespective of angles) Accept any obtuse-angled triangle with appropriate base and height each correct to within 2 mm The triangle need not have vertices on the grid intersections. Accept a triangle not drawn with a ruler, provided the vertices are correctly placed.

Up to 2

[2]

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Q21. Explanation that recognises that a regular shape must have equal length sides/edges and equal angles. (Equal length sides can be assumed within an explanation.) e.g. • A regular shape has equal sides and equal angles; Jack’s shape has equal sides but not equal angles. • Jack is not correct because all the angles are not the same. • Jack’s rhombus is not a square and only a square is a regular quadrilateral.

[1]

Q22. Award ONE mark for three measurements placed as shown: The radius of a circle is 4 cm; its diameter is 8 cm and its circumference is approximately 25 cm.

[1]

Q23. (a) Triangle marked as shown.

Accept other unambiguous indications

1

(b) A mathematical property, such as • all angles equal; • all sides equal; • all angles 60°; • 3 lines of symmetry; • all the angles/sides are the same size; • rotational symmetry of order 3

Do not accept vague descriptions, eg • ‘They are equal’; • ‘They’re symmetrical’; • ‘Equal points’. Award the mark for a correct statement, even if the wrong shape is ticked.

1

[2]

Q24. Award TWO marks for table completed as shown.

If table is incorrectly completed, award ONE mark for: • only one letter correctly placed with no additions to the table; OR

• Both letters correctly placed and no more than one addition to the table. up to 2

[2]

Q25. rectangle or oblong

Accept any reasonable spelling. [1]

Q26.

For each row, all three boxes must be correct. Do not accept blank boxes. Accept other unambiguous indications, eg:

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• Y (for tick) N (for cross). [2]

Q27. (a)(b) Award ONE mark for each appropriate mathematical characteristic to a

maximum of TWO marks, eg.

• “They all have a right angle.” • “Each has straight edges (or sides).” • “They are all irregular.” • “They are all polygons.” • “They all have corners.” • “They all have 4 or more sides.”

If 2 correct reasons are given as one statement, marks for both (a) and (b) should be awarded, eg. • They all have at least 4 sides and a right angle.

Up to 2

[2]

Q28. (a) A mathematical criterion such as:

• “They are symmetrical.” • “Each has three squares across.” • “Both have the same perimeter.” • “They have 4 joined-on lines.” • “They have the same area.”

Do not accept criteria which are implicit in the fact that the shapes are made from cm squares, eg: • “They have straight edges.”

1

(b) E 1

[2]

Q29. Any three triangles different from one given, e.g.

q1. radius q2. q3. · 2020-07-03 · page 1 of 15 q1.a bicycle wheel has a diameter of 64 cm.what...

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