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Daily Maths Practice
1
Daily Maths Practice
Workbook 2
Grade 6
Geometry - Angles, Triangles,
Quadrilaterals
Grade 6
Daily Maths Practice
2
Grade 6
Day 1
Understanding Angles and Triangles
TIP:
1.
Angles are measured in _______________________.
2.
Angles are drawn and measured with a ________________________.
3.
The arms of angles, which are called the _____________meet at
the ____________.
If you need extra
help with angles
or polygons,
download the
Grade 6
Understanding
Angles worksheet
or
Understanding
Polygons
4.
If you are asked to measure angle ABC, you will measure the size of angle ________.
5.
The size of all the angles of a triangle adds up to ____________.
Description
Name
An angle that is greater than 180º.
A triangle with one angle measuring 90º and no
equal sides.
An obtuse angle
An angle that measures 90º.
An equilateral triangle
An acute, scalene triangle
A triangle with two equal sides and two equal
angles, all angles measuring less than 90º.
A straight angle
A triangle with one angle measuring more than 90º
and no equal sides.
Daily Maths Practice
3
Grade 6
Day 2
Measuring and Calculating Angles
1.
Classify the angle, then measure the size of the angle:
a)
b)
Classify: ______________________
Classify: ____________________
 PQR = ______________________
 PQR = ____________________
2.
Classify the triangle and measure the size of the angle/s as indicated:
a)
b)
A
A
C
C
B
B
Classify: ________________________
Classify: _________________________
 CAB
= ______________________
 CAB
= _______________________
 BCA
= ______________________
 BCA
= _______________________
 CBA
= ______________________
 CBA
= _______________________
3.
Calculate the size of the angle/s as indicated: (DO NOT measure)
a)
R
b)
S
R
16
23
T
 RST
= _____________________
 STR
= _____________________
T
S
 RST = ________________________
Daily Maths Practice
4
Grade 6
Day 3
Drawing Angles & Triangles
Draw an angle = 209º
Draw an Isosceles triangle with the top
angle = 68º
Draw an equilateral triangle using your
compass
Draw an angle = 195º
Draw an acute, scalene triangle
Draw an obtuse isosceles triangle with
one angle = 24º
Daily Maths Practice
5
Grade 6
Day 4
Understanding Polygons
Polygon
Sum of
inner angles
Hexagon
720º
Number of
Vertices
Number of
sides
Draw and add diagonals
Trapezium
Octagon
1 080º
Rhombus
Pentagon
Parallelogram
Decagon
1 440º
Did you know that for every side added to a polygon, 180º is added to determine
the sum of the inner angles? Example:
Triangle (3 sides) - inner angles = 180º
Quadrilaterals (4 sides) - inner angles = 180º + 180º = 360º
Daily Maths Practice
6
Grade 6
Day 5
Drawing Polygons
Using the gridline paper below, draw the following polygons as instructed:
1.
Draw line AB=4 cm and line AC=5cm with  CAB = 62º. Measure line BC. BC = _____
2.
Draw a trapezium where line PQ is 5cm and line QR is 2 cm with  PQR = 48º and
 SPQ = 56º.
3.
Draw a parallelogram where line DE is 40 mm and forms an angle of 38º with line GD,
that measures 25mm.
Daily Maths Practice
7
Grade 6
Day 1: Memo
1.
Angles are measured in degrees.
2.
Angles are drawn and measured with a protractor (ruler is used to draw lines).
3.
The arms of angles, which are called the rays meet at the vertex.
4.
If you are asked to measure angle ABC, you will measure the size of angle B.
5.
The size of all the angles of a triangle adds up to 180º.
6.
Complete the following table:
Description
Name
An angle that is greater than 180º
Reflex angle
A triangle with one angle measuring 90º and no
equal sides.
Right-angled triangle
An angle greater than 90º and less than 180º
An obtuse angle
An angle that measures 90º
Right angle
A triangle where all angles and all sides are equal.
An equilateral triangle
All angles of the triangle measure less than 90º and
none of the sides are equal.
An acute, scalene triangle
A triangle with two equal sides and two equal angles, all angles measuring less than 90º.
An acute, isosceles triangle
An angle measuring 180º
A straight angle
A triangle with one angle measuring more than 90º
and no equal sides.
An obtuse, scalene triangle
Day 2: Memo
1.
Classify the angle, then measure the size of the angle:
a)
Reflex angle; 210º
2.
Classify the triangle and measure the size of the angle/s as indicated:
a)
Classify: An acute, scalene triangle
b) Obtuse angle; 150º
b)
Classify: An obtuse, isosceles triangle
ABC
= 56º
ABC
= 29º
BCA
= 35º
BCA
= 29º
CBA
= 89º
CBA
= 122º
3.
Calculate the size of the angle/s as indicated:
a)
RST = 45º
STR = 45º
b)
RST = 180º - (23º+16º)
= 141º
Daily Maths Practice
8
Grade 6
Day 3: Memo
All angles and lines must be marked and labelled!!
Draw an angle = 209º
Draw an Isosceles triangle with the top
angle = 68º
A
209
68
C
Draw an equilateral triangle using your
compass
56
56
B
Draw an angle = 195º
C
A
B
Draw an acute, scalene triangle
Draw an obtuse isosceles triangle with
one angle = 24º
Any triangle where all angles are less than
90º, but not equal and sides are not equal.
A
76
132
24
C
59
45
24
B
Daily Maths Practice
9
Grade 6
Day 4: Memo
Identifying Polygons
Polygon
Sum of Inner
Angles
Number of
Vertices
Number of
sides
Hexagon
720º
6
6
Trapezium
360º
4
4
Octagon
1 080º
8
8
Rhombus
360º
4
4
Pentagon
540º
5
5
Parallelogram
360º
4
4
Decagon
1 440º
10
10
Draw and add diagonals
Daily Maths Practice
10
Grade 6
Day 5
Drawing Polygons
Using the gridline paper below, draw the following polygons as instructed:
1.
Draw line AB 4 cm and line AC 5cm with  CAB = 62º. Measure line BC. BC = ______
Draw a triangle - label all sections carefully—Line BC = 45/46 mm or 4,5/4,6 cm
2.
Draw a trapezium where line PQ is 5cm and line QR is 2 cm with  PQR = 48º and
 SPQ = 56º.
Label all sides and measure using a protractor—below is an example, but
not accurately measured
»
R
S
2 cm
56º
P
3.
48º
»
5 cm
Q
Draw a parallelogram where line DE is 40 mm and forms an angle of 38º with line GD,
which measures 25mm.
Label all sides and measure using a protractor—below is an example, but
not accurately measured
G
F
»
142º
38º
25 mm
38º
D
»
142º
E
40 mm
This question requires knowledge of parallelograms to complete:
Opposite sides are equal in length and parallel.
Diagonally opposite angles are equal.
All inner angles add up to 360º.