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S1 Pre-Final_Exam_02

Total questions: 85

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
Which of the following expressions gives the smallest value?
a)
(-3) ÷ 5 ÷ (-5)
b)
3 ÷ 5 ÷ (-5)
c)
(-3) × (-5) ÷ (-5)
d)
3 × (-5) ÷ (-5)
2.
Evaluate the expression.
a)
3
b)
4
c)
-3
d)
-6
3.
What feature will stay the same when a figure is enlarged or reduced?
a)
area
b)
angles
c)
perimeter
d)
size
4.

Which of the following number statements is true?

a)

−0.9 > 0.1

b)

−1.2 > 2.1

c)

4.2 > −6.8

d)

−2.5 < −6.55

5.
Identify the terms, coefficients, and constants of the expression. 3r2+4r+8
a)
Terms: 3r2, 4r, 8    Coefficient: 3, 4   Constant 8, 3
b)
Terms: 3r2, 4r, 8    Coefficient: r2     Constant: 8 
c)
Terms: 3r2     Coefficient: 3, 4, r2     Constant: 8
d)
Terms: 3r2, 4r, 8   Coefficient: 3, 4    Constant: 8
6.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
d)
12x(50 + 200)
7.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
8.

What is this formula for:

A = Base x Height

a)

Area of a Parallelogram

b)

Area of a Triangle

c)

Circumference of a Circle

d)

Area of a Circle

9.
at least 45
a)
< 45
b)
> 45
c)
≤ 45
d)
≥ 45
10.
≥
a)
equal
b)
greater than
c)
greater than or equal to
d)
at most
11.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
12.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
13.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
14.
What is the value of the function f(x) = -5x + 3 when x = -4?
a)
-17
b)
23
c)
20
d)
-4
15.
Right, acute, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
16.
Right, acute, or obtuse?
a)
Right
b)
Acute
c)
Obtuse
17.
Find the value of x. 
a)
17
b)
28
c)
68
d)
39.5
18.
How many vertices in this shape?
a)
3
b)
4
c)
5
d)
6
19.
The arrow is pointing to a ________.
a)
Edge
b)
Vertice
c)
Face
20.
 A polyhedron has 6 vertices and 9 edges. How many faces does it have?
a)
3
b)
5
c)
7
d)
9
21.
What is 10% of $250
a)
$2.50
b)
$25
c)
$250
d)
$2500
22.
What is 25% of 2 hours?
a)
45 minutes
b)
30 minutes
c)
0.3 hours
d)
0.5 minutes
23.
If a price was £450 and it increase by 30%, what is the new price?
a)
585
b)
135
c)
500
d)
520
24.

Which pictures could represent 40%?

a)
b)
c)
d)
e)
25.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
26.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
27.
Find the PERCENT of Change.
The original cost was $50 and the new cost is $60. 
a)
Increase 20%
b)
Increase 16.67%
c)
Increase $10
d)
Decrease $10
28.

The local fruit shop bought 500 kg of apples for $900 and sold them for $2.80 per kilogram. What is the profit per kilogram?

a)

37 cents

b)

$1 profit per kg.

c)

$0.10 per kg.

d)

$0.37 per kg.

29.
A $50 shirt is discounted by 10%, its new price is ...
a)
$55
b)
$45
c)
$40
d)
$5
30.
A pair of jeans that cost $80 is marked up by 20%. The new price is ....
a)
$16
b)
$96
c)
$100
d)
$116
31.
The formula to calculate percentage profit is:
a)
profit / cost price x 100
b)
profit / 100 x cost price
c)
cost price / profit x 100
d)
cost price / 100 x profit
32.

Round down 6.039 to the nearest 0.1.

a)

6

b)

6.0

c)

6.1

d)

7

33.

Suppose the sum of

145, 139, 141, 142 and 137

is approximated to be 700.

Which of the following can be the approximation method?

a)

Front-end method

b)

Rounding down

c)

Rounding up

d)

Choosing a clustered value

34.

Which of the following is the most appropriate measuring tool to measure the weight of a cat?

a)

Stopwatch

b)

Measuring tape

c)

Syringe

d)

Bathroom scale

35.

Find the area.

a)

52 (cm2)

b)

36 (cm2)

c)

57 (cm2)

d)

40 (cm2)

36.
What is the total surface area of the cuboid?
a)
27
b)
212
c)
424
d)
480
37.

A rectangular brick has

a dimsnsion of 20 cm x 9 cm x 5 cm.

Find the total surface area.

a)

650 cm2

b)

600 cm2

c)

525 cm2

d)

450 cm2

38.

In the figure, find the volume.

Round off to the nearest cm3.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

39.
.
a)
A
b)
B
c)
C
d)
D
40.

How many quadrants or sections are in a coordinate plane?

a)

1

b)

2

c)

3

d)

4

41.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
42.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
43.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
44.
Which quadrant is (9, 2) located?
a)
I
b)
II
c)
III
d)
IV
45.
What is at (1,2)?
a)
the moon
b)
the sun
c)
a blue planet
d)
a robot
46.
Are these shapes congruent or not congruent?
a)
congruent
b)
not congruent
47.
What are the coordinates of B?
a)
(-0.75, 0.5)
b)
(-3, 2)
c)
(-1.0, 0.5)
d)
(0.5, -0.75)
48.

Find the area.

a)

35 square units

b)

24 square units

c)

48 square units

d)

22 square units

49.
What is the distance between (9, -3) and (9, 1)?
a)
-2 units
b)
-4 units
c)
4 units
d)
2 units
50.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
51.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
8
52.

Relfect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?

a)

Quadrant I and II

b)

Quadrant II and III

c)

Quadrant III and IV

d)

Quadrant I and IV

53.

If a point A(4, 15) is rotated by 180ᴼ about the origin, then its image is ...

a)

(-15, 4).

b)

(-4, 15).

c)

(15, -4).

d)

(-4, -15).

54.
Find x
a)
110
b)
99
c)
10
d)
9
55.
Find the value of x.
a)
20
b)
135
c)
31
d)
145
56.
Solve for x.
a)
9
b)
-10
c)
7
d)
5
57.
Find x
a)
90
b)
45
c)
18
d)
72
58.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
59.
What is the measure of angle  3
a)
115
b)
32
c)
65
d)
148
60.
Solve for x.
a)
7
b)
9
c)
-11
d)
-6
61.
Convex or Concave?
a)
convex
b)
concave
62.
Identify the transformation from B to A.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
63.
Reflect the figure across the y-axis. What are the coordinates of A'?
a)
(-2, -4)
b)
(2, 4)
c)
(-2, 4)
d)
(2, -4)
64.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
65.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
66.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
67.
What is the name of the GREEN line?
a)
RT
b)
RX
c)
TX
68.
Simplify
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
69.
Simplify
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
2x3 -2x2 + 6x -16
b)
x3 -16
c)
6x3 -4x2 + 6x +16
d)
8x11 -16
70.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
71.

Which one is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

72.

If ΔDEF ≅ ΔRST, ∠RTS = ____.

a)

∠DFE

b)

∠DEF

c)

∠FDE

d)

EF

73.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

d)

BCA

74.

Which symbol means "congruent"?

a)

≅

b)

≠

c)

∠

d)

Δ

e)

~

75.

Which of the following must be true?

a)

All plane figures of equal perimeters are congruent.

b)

All triangles of equal areas are congruent.

c)

Congruent figures have the same shape.

d)

The sides of two congruent quadrilaterals are all equal.

76.

Which of the following statement about two similar triangles must be correct?

a)

Their corresponding angles are equal.

b)

Their corresponding sides are equal.

c)

Their areas are equal.

77.

Which of the following must be true?

a)

All plane figures of equal areas are similar.

b)

Two similar figures are congruent.

c)

All squares of different sizes are similar.

d)

All rectangles of equal perimeters are similar.

78.

Suppose △ABC ~ △PQR.

If ∠A = 55°, ∠R = 110°,

AB = 16, AC = 4 and PR = 3,

find ∠P and PQ.

a)

∠P = 55°, PQ = 0.75

b)

∠P = 55°, PQ = 12

c)

∠P = 110°, PQ = 0.75

d)

∠P = 110°, PQ = 12

79.

Which of the following is NOT the condition for triangles to be similar?

a)

Three pairs of sides are equal.

b)

Three pairs of angles are equal.

c)

Two pairs of sides are proportional.

d)

Three pairs of sides are proportional.

80.

Consider △ABC and △PQR,

where AB = 10 and QR = 5.

Which information is required

to say △ABC ~ △QRP?

a)

∠A = ∠P, AC = 10 and PR = 5.

b)

∠B = ∠R and BC = 2PR.

c)

PR = 3, BC = 6 and AC = 12.

d)

∠C = ∠Q and PQ = 2AC.

81.

Suppose △RST ≅ △XYZ.

If ∠R = 51° and ∠S = 46°,

which one is correct?

a)

∠X = 46°

b)

∠Y = 51°

c)

∠Z = 83°

82.

Suppose △ABC ≅ △PQR.

If AB = 4, QR = 7, PR = 8 and ∠ACB = 30°,

which of the following is incorrect?

a)

∠QRP = 30°

b)

PQ = 4

c)

AC = 7

83.

Which of the following cannot give sufficient information for △ABC ≅ △DEF ?

a)

AB = DE, BC = EF, ∠B = ∠E

b)

AC = DF, CB = FE, ∠A = ∠D

c)

AB = DE, ∠A = ∠D, ∠B = ∠E

d)

AC = DF, ∠B = ∠E, ∠C = ∠F

84.

Suppose △ABC ~ △PQR.

If AB = 7, BC = 8 and PQ = 14,

then QR = _____________.

a)

4

b)

12.25

c)

14

d)

16

85.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532