PLC Papers
Created For:
3D shapes 2
Objective:
Grade 4
Identify the properties of 3-D shapes
Question 1.
The diagram shows four 3-D solid shapes.
(a) What is the name of shape B
….…………………. (1)
(b) Write down the number of vertices of shape C
….…………………. (1)
(c) Write down the number of edges of shape A
….…………………. (1)
(d) Write down the number of faces of shape D
….…………………. (1)
(e) Write down the name of the solid shape below
….…………………. (1)
(Total 5 marks)
PiXL PLC 2017 Certification
Question 2.
Write in the correct word or number to complete these sentences
a) A triangular based prism has 3 faces that are ……………………………..………….and
……………. faces that are triangles
(2)
b) A …………………………………………. pyramid has 7 faces, 12 edges and 7 vertices
6 faces are ………………………… and 1 face is a ………………………..
(3)
(Total 5 marks)
Total /10
PiXL PLC 2017 Certification
Congruency 2
Objective:
Grade 3
Consider transformations when describing congruent and similar shapes,
including on a coordinate axis
Question 1
Here are 8 polygons.
(a)
Write down the mathematical name for shape A.
.....................................
(1)
(b)
Write down the letter of the shape that is an octagon.
.....................................
(1)
(c)
Write down the letters of the pair of congruent shapes.
..................................... and .....................................
(1)
(Total 3 marks)
PiXL PLC 2017 Certification
Question 2
On the grid below, draw a shape that is congruent to shape A.
(Total 2 marks)
Question 3
Circle the figure that is congruent to C
(Total1 mark)
Question 4
Write down what the term congruency means?
…………………………………………………………………………(Total1 mark)
PiXL PLC 2017 Certification
Question 5
Circle from the list of transformations from below which DO NOT allow congruent shapes?
Reflection
Translation
Enlargement
Rotation
(Total 1 mark)
Question 6
Circle the transformations from below which gives congruent shapes?
Rotation
Reflection
Total Marks / 10
PiXL PLC 2017 Certification
Enlargement
(Total 2 marks)
Geometrical terminology and diagrams 2
Objective:
Grade 3
Label sides and angles and draw diagrams from written descriptions
Question 1
Use the letters on the diagram below to name these sides and angles
D
C
E
B
F
A
G
a) Which sides are perpendicular?
…………… and ……………
(1)
b) Name a pair of parallel sides.
…………… and ……………
(1)
c) Name an obtuse angle
……………………
(1)
d) Name one of the right angles
……………………
(1)
e) Draw an arc on your diagram to show the angle GDA
(1)
f) Draw the line AK so that it is parallel to CE
(1)
(Total 6 marks)
PiXL PLC 2017 Certification
Question 2
a) Draw a rectangle that is 3cm long and 2cm wide and use the letters WXYZ to label the vertices
(3)
b) Name one of the diagonals of your rectangle
………………….
(1)
(Total 4 marks)
Total Marks / 10
PiXL PLC 2017 Certification
Measuring lines and angles 2
Grade 3
Objective: Measure lines and angles in geometric figures, including maps and scale drawings.
Question 1:
Give the metric measurement that would be sensible to use for the following:
(a) Height of an adult female: …………………………..
(b) Capacity of a drinks can:………………………….
(c) Distance from Cardiff to Carlisle:…………………………
(Total 3 marks)
Question 2.
(a) Measure the length of the line.
…………………………..cm
(b) Measure the angle:
.........................................o
(Total 2 marks)
Question 3.
Estimate the:
(a) Height of a 5 year old child.
(b) Length of a dining room table
(c) Distance from one side of an average classroom to another.
(Total 3 marks)
Question 4.
There are 14 pounds in a stone. Write 8 stone and 6 pounds as a number of pounds.
(Total 2 marks)
Total /10
PiXL PLC 2017 Certification
Properties of triangles 2
Objective:
Grade 3
Derive and apply the properties of triangles and know their names
Question 1
a) What type of triangle has two sides that are the same length?
……………………………………………………………..
(1)
b) What type of triangle has 3 angles that are the same size?
……………………………………………………………..
(1)
c) What type of triangle has no lines of symmetry?
……………………………………………………………..
(1)
(Total 3 marks)
Question 2
Find the size of the missing lengths and angles in these triangles.
F
A
5cm
600
b
11.8cm
5cm
g
600
a
B
5cm
D
C
250
6.5cm
130
0
7cm
E
a = ………..
b = ………..
g = ………..
AB = …………
EF = …………
h = …………
BC = ………….
h
(2)
(2)
(3)
(Total 7 marks)
Total Marks / 10
PiXL PLC 2017 Certification
Quadrilaterals 2
Objective:
Grade 3
Derive and apply the geometric properties of the different quadrilaterals
Question 1
a) Name two shapes that have four sides that are the same length.
……………………..………………… and ………………………..…..…………………
(2)
b) Name two shapes that have four sides and two lines of symmetry
…………..………………… and ………………………..…..…………………
(2)
c) Name a shape that has four sides and no line of symmetry.
…………..………………………..………………………..…..…………………
(1)
d) Draw a Kite on the grid below.
(1)
PiXL PLC 2017 Certification
Question 2
a) Complete this sentence.
The angles in a quadrilateral add up to …………….
(1)
b) Explain why the interior angles in a square are all 900
(1)
c) Opposite angles in a parallelogram are equal.
Explain why adjacent angles in a parallelogram add up to 1800
(2)
(Total 3 marks)
Total
PiXL PLC 2017 Certification
/ 10
Using Standard Units 2
Grade 3
Objective:
Use standard units of measure and related concepts (mass, length, area, volume, time
money and other measures).
Question 1.
(a)
A clock shows 13:07. It is 23 minutes fast. What is the correct time?
.........................................
(1)
(b)
A train leaves the station at 09:23. It is due to arrive at its destination at 13:07. It arrives 43
minutes late. How long does the journey take?
......................................
(2)
(Total 3 marks)
Question 2
(a) Teddy runs around the edge of a field. Each side is 430 metres. How many kilometres does he run?
(Total 2 marks)
PiXL PLC 2017 Certification
Question 3.
Write these times in order of size starting with the smallest.
You must show your working.
(i)
6360 seconds
(ii)
600 minutes
(iii) 6 hours
……………….. , …………….. , ……………………..
(Total 3 marks)
Question 4.
James is 1.2metres tall. His sister is 48cm taller than him. How tall in metres his sister?
...............................................
(Total 2 marks)
Total marks / 10
PiXL PLC 2017 Certification
PLC Papers
Created For:
3D shapes 2
Objective:
Grade 4
Solutions
Identify the properties of 3-D shapes
Question 1.
The diagram shows four 3-D solid shapes.
(a) What is the name of shape B
Cylinder
1M
(1)
(b) Write down the number of vertices of shape C
5 vertices
1M
(1)
(c) Write down the number of edges of shape A
12 edges
1M
(1)
(d) Write down the number of faces of shape D
5 faces
1M
(1)
(e) Write down the name of the solid shape below
Tetrahedron
1M
(or triangular based pyramid)
(1)
(Total 5 marks)
PiXL PLC 2017 Certification
Question 2.
Write in the correct word or number to complete these sentences
a) A triangular based prism has 3 faces that are rectangles and 2 faces that are triangles
1M for each word/number
(2)
b) A hexagonal based pyramid has 7 faces, 12 edges and 7 vertices
6 faces are triangles and 1 face is a hexagon
(3)
1M for each word/number
(Total 5 marks)
Total /10
PiXL PLC 2017 Certification
Congruency 2
Objective:
Grade D
SOLUTIONS
Consider transformations when describing congruent and similar shapes,
including on a coordinate axis
Question 1
Here are 8 polygons.
(a)
Write down the mathematical name for shape A.
Hexagon
A1
.....................................
(1)
(b)
Write down the letter of the shape that is an octagon.
C
A1
.....................................
(1)
(c)
Write down the letters of the pair of congruent shapes.
D
G
A1 if both correct
.....................................
and .....................................
(1)
(Total 3 marks)
PiXL PLC 2017 Certification
Question 2
On the grid below, draw a shape that is congruent to shape A.
M1 A1 if a congruent shape is seen
Accept any rotated or reflected shape
(Total 2 marks)
Question 3
Circle the figure that is congruent to C
A1 for B circled correctly
( 1mark)
Question 4
Write down what the term congruency means?
Congruency means the shape is in the same size but either rotated or
……………………………………………………………………………..
( 1mark)
reflected. A1 for similar explanation
Question 5
Circle from the list of transformations from below which DO NOT allow congruent shapes?
Reflection
Translation
Enlargement
A1 for 1 circled correctly
PiXL PLC 2017 Certification
Rotation
( 1 mark)
Question 6
Circle the transformations from below which gives congruent shapes?
( 2 marks)
Rotation
Enlargement
Reflection
A1 A1 for all 2 circled correctly ; A1 for 1 circled correctly
Total Marks / 10
PiXL PLC 2017 Certification
Geometrical terminology and diagrams 2
Objective:
Grade 3
Solutions
Label sides and angles and draw diagrams from written descriptions
Question 1
Use the letters on the diagram below to name these sides and angles
D
C
E
B
F
A
a) Which sides are perpendicular?
K
G
DG and CE or DG and BF
(May use a line segment of DG)
(1)
b) Name a pair of parallel sides.
CE and BF
(1)
c) Name an obtuse angle
angle ECB or angle FBA
(may use other end points)
(1)
d) Name one of the right angles
angle DEC, angle DEG,
Angle BFG, angle BFE
(may use other end points)
(1)
e) Draw an arc on your diagram to show the angle GDA
(1)
f) Draw the line AK so that it is parallel to CE
(1)
(Total 6 marks)
PiXL PLC 2017 Certification
Question 2
a) Draw a rectangle that is 3cm long and 2cm wide and use the letters WXYZ to label the vertices
W
X
Z
•
•
•
Rectangle
Correct size
Labels on the vertices (not edges)
Y
(3)
b) Name one of the diagonals of your rectangle
e.g.WY
(Use their labels)
(1)
(Total 4 marks)
Total Marks / 10
PiXL PLC 2017 Certification
Measuring lines and angles 2
Grade 3
SOLUTIONS
Objective: Measure lines and angles in geometric figures, including maps and scale drawings.
Question 1:
Give the metric measurement that would be sensible to use for the following:
(a) Height of an adult female: …………metres or cm………………..
(b) Capacity of a drinks can:……………m1…………….
(c) Distance from Cardiff to Carlisle:…………km………………
(Total 3 marks)
Question 2.
(a) Measure the length of the line.
…………………………..cm
(b) Measure the angle:
.........................................o
(Total 2 marks)
Question 3.
Estimate the:
(a) Height of a 5 year old child. 1-1.3 metres inclusive
(b) Length of a dining room table
1-3m inclusive
(c) Distance from one side of an average classroom to another. 3-7 metres inclusive
(Total 3 marks)
Question 4.
There are 14 pounds in a stone. Write 8 stone and 6 pounds as a number of pounds.
14 x 8 +6 = 118 pounds
M1 A1
(Total 2 marks)
Total /10
PiXL PLC 2017 Certification
Properties of triangles 2
Objective:
Grade 3
Solutions
Derive and apply the properties of triangles and know their names
Question 1
a) What type of triangle has two sides that are the same length?
Isosceles triangle
(1)
b) What type of triangle has 3 angles that are the same size?
Equilateral triangle
(1)
c) What type of triangle has no lines of symmetry?
Scalene triangle
(1)
(Total 3 marks)
Question 2
Find the size of the missing lengths and angles in these triangles.
F
A
5cm
600
b
11.8cm
5cm
5cm
g
600
a
B
250
D
6.5cm
C
130
0
7cm
h
E
a = 600
1M
b = 250
1M
g = 450
1M
AB = 5cm
1M
EF = 6.5cm
1M
h = 450
1M
BC = 5cm
1M
(2)
(2)
(3)
(Total 7 marks)
Total Marks / 10
PiXL PLC 2017 Certification
Quadrilaterals 2
Objective:
Grade 3 Solutions
Derive and apply the geometric properties of the different quadrilaterals
Question 1
a) Name two shapes that have four sides that are the same length.
Square and Rhombus
1 mark each (no extra shapes)
(2)
b) Name two shapes that have four sides and two lines of symmetry
Rectangle and Rhombus
1 mark each (no extra shapes)
(2)
c) Name a shape that has four sides and no line of symmetry.
Parallelogram
(1)
d) Draw a Kite on the grid below.
Any correctly drawn kite
(1)
PiXL PLC 2017 Certification
Question 2
a) Complete this sentence.
The angles in a quadrilateral add up to 3600
(1)
b) Explain why the interior angles in a square are all 900
The 4 angles are all the same and 360 ÷ 4 = 90
(1)
c) Opposite angles in a parallelogram are equal.
Explain why adjacent angles in a parallelogram add up to 1800
•
•
Showing there are only 2 different angles (diagram or words)
Explaining why you find half of 3600
There are only two different angles so if all the angles add up to 3600, half the angles add up to 1800
and they are next to each other (adjacent)
May use a diagram and algebra
b
a
b
a
2a + 2b = 360
a + b = 180
(2)
(Total 4 marks)
Total
PiXL PLC 2017 Certification
/ 10
Using Standard Units 2
Grade 3
Solutions
Objective:
Use standard units of measure and related concepts (mass, length, area, volume, time
money and other measures).
Question 1.
(a)
A clock shows 13:07. It is 23 minutes fast. What is the correct time?
.............12:44.......................(B1)..........
(1)
(b)
A train leaves the station at 09:23. It is due to arrive at its destination at 13:07. It arrives 43
minutes late. How long does the journey take?
13:07+43= 13:50 (M1)
..........4hrs 27...............................(A1).....
(2)
(Total 3 marks)
Question 2
(a) Teddy runs around the edge of a field. Each side is 430 metres. How many kilometres does he run?
430 x 4 = 1720m
1720 m = 1.72km
(B2)
(Total 2 marks)
PiXL PLC 2017 Certification
Question 3.
Write these times in order of size starting with the smallest.
You must show your working.
(i)
6360 seconds 106 mins(ii)
600 minutes (iii) 6 hours 360 mins
Evidence of correct conversions (M2)
………6360 seconds……….., ……6 hours, ……600 mins……… (B1)…..
(Total 3 marks)
Question 4.
James is 1.2metres tall. His sister is 48cm taller than him. How tall in metres his sister?
1.2+0.48 = 1.68m
... 1.68m ........(B2).......................
(Total 2 marks)
Total marks / 10
PiXL PLC 2017 Certification