(d) Shape and Space

Important Information At various times in this section, you will need to identify several points or shapes in the answer to a question. Each point or shape will have a letter associated with it. Where the answer consists of more than one letter, simply include all the letters, separated by spaces, like this: . If there are no matching answers, leave the box completely blank.

Question 1
Write down the coordinates of the points marked on the grid below:

	(A)	( , )
	(B)	( , )
	(C)	( , )
	(D)	( , )

(b) Which of the marked points lie on the line y = x + ?

Question 2
Look at the shapes below:

(a)	Which shape, other than , is congruent to shape ?
(b)	Which shape or shapes, other than , are similar to shape ?

Question 3
Below are the names of various types of quadrilateral.

SQUARE	RECTANGLE	TRAPEZIUM	PARALLELOGRAM	RHOMBUS	KITE
(A)	(B)	(C)	(D)	(E)	(F)

Write down the corresponding letters for the quadrilaterals which always fit the description:

(a)
(b)
(c)

Question 4
Look at the three shapes below. Shape has been enlarged to give shapes .

Write down the scale factor of enlargement (as a decimal if necessary) for:

(a)	shape
(b)	shape

Question 5
Look at the three triangles on the graph below.

What translation must be applied to shape to give:
(a)	shape	( , )
(b)	shape	( , )

Question 6
Look at the five triangles on the graph below.
You need to work out how the transformations listed alongside the graph were carried out.
Each one is either a reflection, a rotation or a translation.

	(a)	is obtained from by
		reflection rotation translation
	(b)	is obtained from by
		reflection rotation translation
	(c)	is obtained from by
		reflection rotation translation

Question 7
Look at the five nets below.

Which of the nets make a cube? Write the corresponding letters in the box below.

Question 8
Indicate whether each of the statements below is True or False.

(a)		True	False
(b)		True	False
(c)		True	False
(d)		True	False

Question 9
Find the unknown length in each of these right-angled triangles.

a = cm
b = cm

Question 10
Determine the number of lines of symmetry and the order of rotational symmetry for each of these shapes.

(a)		Number of lines of symmetry =
		Order of rotational symmetry =
(b)		Number of lines of symmetry =
		Order of rotational symmetry =
(c)		Number of lines of symmetry =
		Order of rotational symmetry =

Question 11
Calculate the area of each of these 2-D shapes. The diagrams are not to scale.

(a)		Area = cm²
(b)		Area = cm²
(c)		Area = cm²

Question 12
A circle has radius cm.

(a)	Calculate its area in cm², giving your answer to 1 decimal place.	cm²
(b)	Calculate its circumference in cm, giving your answer to 1 decimal place.	cm

Question 13
The circle shown has radius cm.

The arc AB subtends an angle of 60° at the centre O. What is the length of the arc AB, to 2 decimal places? Arc length = cm

Question 14
Look at the 3-D prisms below.
Give the most specific name for each one and calculate their volume and surface area.
Give your answers to 1 decimal place.

(a)		Name =
		Volume = cm³
		Surface Area = cm²
(b)		Name =
		Volume = cm³
		Surface Area = cm²