Final Exam Review - Ch 1 & 7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Determine the value of
a. 0.4 b. 0.07 c. 0.2
.
d. 0.04
2. Determine the value of
.
a. 0.3 b. 0.045 c. 0.0225 d. 0.03
3. Calculate the number whose square root is 0.9.
a. 0.81 b. 0.0081 c. 0.081 d. 0.09
8. A square has an area of 27.8 cm2.
Determine the side length of the square, to the
nearest millimetre.
a. 5 cm b. 5.2 cm c. 5.27 cm d. 5.3 cm
9. Determine the scale factor for this scale diagram.
4. Which fraction is a perfect square?
i)
ii)
iii)
Original
diagram
iv)
a. ii
b. iii
c. iv
d. i
a. 32
5. Determine the value of
a.
b.
c.
Scale
diagram
b. 8
c. 4
.
d.
6. Which decimal has a square root between 14 and 15?
i) 240.3
ii) 169
iii) 14.5
iv) 204.5
a. ii b. iii c. i d. iv
d.
1
4
10. A rectangle has length 6 cm and width 4 cm.
The rectangle is to be enlarged by a scale factor of 8.
Calculate the length of the enlargement.
a. 80 cm b. 48 cm c. 32 cm d. 14 cm
7. Which fraction has a square root between 3 and 4?
52
i)
3
61
ii)
3
37
iii)
4
79
iv)
4
a. iv b. ii c. iii d. i
11. Which of parallelograms A, B, C, and D are scale diagrams of parallelogram O?
O
A
B
C
D
a. Parallelogram D
b. Parallelogram C
c. Parallelogram B
d. Parallelogram A
12. One frame of a film in a projector is 5 cm high.
The film is projected onto a giant screen. The image of the film frame is 12 m high.
What is the scale factor of this enlargement?
1
a. 240 b.
c. 2.4 d. 24
240
13. Which of triangles P, Q, R, and S are reductions of triangle X?
X
P
Q
R
S
a. Triangles P, Q, and S b. Triangles Q and S c. Triangles P and Q d. Triangles P, Q, and R
14. Which two polygons have pairs of corresponding
lengths that are proportional?
16. Calculate the value of x in this proportion:
a. 3.375
Q
c. 1
d. 0.75
17. Identify similar rectangles.
P
R
a. R and S
b. 0.6
b. P and S
S
c. Q and R
d. P and Q
15. A soccer pitch is about 110 m long. A model of the
soccer pitch is made using a scale of 1:70.
Determine the length of the model to the nearest
centimetre, if necessary.
a. 1571 cm b. 2 cm c. 16 cm d. 157 cm
a. Y and W
c. W and Z
d. X and Z
18. These two pentagons are similar. Determine the
value of x.
4 cm
Y
b. Y and Z
3 cm
x
10 cm
Z
2 cm
X
6.4 cm
4 cm
9.6 cm
3 cm
W
12 cm
6 cm
a. 8 cm
5 cm
b. 1.9 cm
19. Which triangle is similar to ABC?
A
o
56
o
46
C
B
M
46
o
H
L
o
46
I
o
23
S
K
39
P
o
78
39
o
N
J
o
o
78
U
o
46
O
T
a. HIJ
b. STU
c. PON
d. KLM
20. These triangles are similar. Determine the length of QR to the nearest tenth.
R
L
14
8
K
a. 10.7
b. 12
10
c. 26.3
Q
M
15
P
d. 18.8
21. Determine the length of AE in this pair of similar triangles.
c. 5.12 cm
d. 18 cm
A
B
3
E
10
a. 3.3
b. 10.5
D
c. 7.5
C
4
d. 4.3
22. Which shapes have at least 2 lines of symmetry?
P
Q
a. Shapes P, Q, S
R
b. Shapes P, S
S
c. Shapes Q, R, S
d. Shapes P, Q, R, S
23. Which shapes have exactly one line of symmetry?
P
Q
R
S
a. Shapes P, Q, R, S b. Shapes P, S c. Shapes Q, R
24. Identify the triangles that are related to the black
triangle by a line of reflection.
7
d. Shapes P, Q, R
y
6
5
P
4
Q
3
2
R
1
1
2
S
3
4
5
6
7
8
9
x
a. 6
a. Triangles P, Q, R, S b. Triangles Q, R
c. Triangles R, S d. Triangles Q, R, S
25. How many lines of symmetry does this tessellation
have?
b. 2
c. 4
d. 1
26. What is the angle of rotation symmetry for a shape
that has rotational symmetry of order 5?
a. 144° b. 36° c. 72° d. 75°
27. The angle of rotation symmetry for a shape is 60°.
What is the order of rotational symmetry?
a. 6 b. 4 c. 3 d. 8
29. What is the order of rotational symmetry and angle
of rotation symmetry for this design?
28. What is the order of rotational symmetry and angle
of rotation symmetry for this regular pentagon?
a. 4; 90°
a. 5; 75°
b. 6; 120°
c. 5; 72°
b. 6; 120°
c. 8; 60°
d. 8; 45°
d. 5; 54°
30. Which figure shows a 90° clockwise rotation about point A?
A
A
Figure i
Figure ii
A
Figure iii
A
Figure iv
a. Figure iii b. Figure ii c. Figure iv d. Figure i
31. Quadrilateral P is rotated 90° clockwise about vertex
A, then 270° counterclockwise about vertex A.
Which quadrilateral shows the final position of
quadrilateral P?
a. H, O, X
Q
R
A
P
a. P
b. S
S
c. Q
d. R
32. Which of the following letters have both rotational
symmetry and line symmetry?
b. K, H, X
c. N, H, X
d. S, H, O, X
33. Which of squares P, Q, and R are related to the
shaded square by rotational symmetry about the
origin?
y
a. Squares P and R
c. Squares Q and R
4
3
P
b. Squares P, Q, and R
d. Squares P and Q
2
1
–4 –3 –2 –1
–1
–2
Q
1
2
3
4 x
R
–3
–4
Short Answer
34. Determine the value of
.
35. Between which two whole numbers does
lie?
36. A square garden has an area of 240.25 m2.
a) Determine the length of one side of the garden.
b) Determine the perimeter of the garden.
37. Name 2 decimals that have square roots between 2.6
and 2.7.
Original
diagram
Scale diagram
38. Determine the length of side s.
8.8 cm
40. A circle has diameter 48 cm. The diameter of the
reduction is 42 cm.
Determine the scale factor of the reduction as a
fraction and as a decimal.
s
5.2 cm
41. Rectangle ABCD is similar to rectangle PQRS.
If AB = 7.2 cm, BC = 5.7 cm, and PQ = 4.8 cm,
determine the length of QR.
39. Determine the scale factor for this scale drawing.
42. These parallelograms are similar. Determine the values of x° and y.
B
C
8
A
64°
12
F
E
x°
6
G
y
H
D
43. This polygon is one-half of a shape. Use the dotted
line as a line of symmetry to complete the shape by
drawing its other half.
y
y
6
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6
7
x
1
2
3
4
5
6 x
44. This polygon is one-half of a shape. Use the dotted
line as a line of symmetry to complete the shape by
drawing its other half.
45. Identify the pentagons that are related to the black pentagon by a line of reflection.
Describe the position of each line of symmetry.
y
11
10
9
R
8
7
6
5
4
P
S
3
2
Q
1
1
2
3
4
5
6
7
8
9 10 11 12 13 x
46. Draw the rotation image after rotating the shape 90°
clockwise about P.
P
Problem
47. List all the whole numbers between 63 and 101 that
are perfect squares.
48. Calculate the value of
, to the nearest tenth.
49. a) Reflect shape A in the oblique line through (0, 7) and (7, 0). Label the image shape B.
b) Reflect shape B in the vertical line through 6 on the x-axis. Label the image shape C.
c) Reflect shape C in the oblique line through (5, 0) and (12, 7). Label the image shape D.
y
7
6
5
4
3
A
2
1
1
2
3
4
5
6
7
8
9 10 11 12 13 x
Final Exam Review - Ch 1 & 7
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
A
A
A
A
B
D
C
D
C
B
B
A
B
A
D
A
C
A
C
A
B
C
C
D
B
C
A
C
A
C
D
A
D
SHORT ANSWER
34. 18
35. Between 4 and 5
36. a) The length of one side of the garden is
m, or 15.5 m.
b) The perimeter of the garden is
m, or 62 m.
37. Any decimal between 6.76 and 7.29
For example: 7.03 and 7.08
38. The length of side s is about 7.1 cm.
39. The scale factor is 3.5.
40.
41. 3.8 cm
42. y = 4
x° = 64°
43.
y
6
5
4
3
2
1
44.
1
2
3
4
5
6
7
1
2
3
4
5
6 x
x
y
6
5
4
3
2
1
45. Pentagon P is the reflection image of the black pentagon in the vertical line through 3 on the x-axis.
Pentagon Q is the reflection image of the black pentagon in the horizontal line through 3 on the y-axis.
Pentagon R is the reflection image of the black pentagon in the oblique line through
(4, 10) and (12, 2).
Pentagon S is the reflection image of the black pentagon in the vertical line through 7.5 on the x-axis.
46.
P
47. 64, 81, 100
PROBLEM
48.
The value of
is about 3.8.
y
7
6
5
4
B
3
C
A
D
2
1
1
49.
2
3
4
5
6
7
8
9 10 11 12 13 x