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Geometry 1a
Extra questions for after the assessment
Try these questions.
(You’ll find the answers on the last two pages)
Key Skill 1: Describe various types of angles
Acute
Obtuse
Reflex
Right
Straight
Use the above terms to describe each of the following angles:
(a)
(b)
(c)
(d)
Key Skill 2: Naming angles
Name the following angles:
K
R
A
N
O
S
Key Skill 3: Accurately draw triangles and basic quadrilaterals
Key Skill 4: Use several methods to accurately draw triangles
Accurately draw the following:
62°
43°
74°
5 cm
47°
6 cm
5.7 cm
3.7 cm
5 cm
4.7 cm
7.5 cm
5 cm
Key Skill 5: Calculate the unknown angles within any triangle
(a)
Calculate the missing angle of a triangle with angles 54° and 68°
(b)
Calculate the missing angle of a triangle with angles 117° and 36°
(c)
Calculate the missing angles in the triangles below:
(i)
(ii)
43°
62°
67°
43°
Key Skill 6: Calculate the unknown angles within any quadrilateral
(a)
Calculate the missing angle of a quadrilateral with angles 134°, 84° and 71°
(b)
Calculate the missing angle of a quadrilateral with angles 134°, 82° and 17°
(c)
Calculate the missing angles in the quadrilaterals below:
(i)
(ii)
67°
143°
Key Skill 7: Find the perimeter of triangles and quadrilaterals in mm and cm
(a)
Find the perimeter of a triangle with sides 19 cm, 25 cm and 38 cm
(b)
Find the perimeter of a quadrilateral with sides 17 mm, 27 mm, 19 mm and 32 mm
(c)
Calculate the perimeter of the shape below
54 mm
19 cm
156 mm
Answers
Key Skill 1
a)
Straight
b)
Acute
c)
Reflex
d)
Obtuse
Key Skill 2
a)
RAN,
NAR
b)
KOS,
SOK
Key Skill 3 and 4
62°
43°
74°
5 cm
47°
6 cm
5.7 cm
3.7 cm
5 cm
4.7 cm
7.5 cm
5 cm
Key Skill 5
(a)
54° + 68° = 122°
;
180° - 122° = 58°
(b)
117° + 36° = 153°
;
180° - 153° = 27°
(c)
(i)
43° + 62° = 105°
;
180° - 105° = 75°
(ii)
67° + 43 = 110°
;
180° - 110° = 70°
Key Skill 6
(a)
134° + 84°+ 71° = 289°
;
360° - 289° = 71°
(b)
134° + 82° + 17° = 233°
;
360° - 233° = 127°
(c)
(i)
(ii)
67°
143°
67°
143°
67° + 67° = 134°
143° + 143° = 286°
360° - 134° = 226°
360° - 286° = 74°
226°  2 = 113°
74°  2 = 37°
113°
64°
147°
37°
37°
147°
64°
113°
Key Skill 7
(a)
19 + 25 + 38 = 82 cm
(c)
190 mm + 54 mm + 156 mm = 400 mm
(b)
17 + 27 + 19 + 32 = 95 mm