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Worksheets

RNG Post Easter Test Gr 10 & 11

Total questions: 88

Worksheet time: 3hrs 57mins

Name
Class
Date
1.

Express 0.00045 in scientific notation.

a)

4.5 x 10^4

b)

45 x 10^-5

c)

0.45 x 10^-3

d)

4.5 x 10^-4

2.

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

a)

25 cm²

b)

30 cm²

c)

15 cm²

d)

40 cm²

3.

If the ratio of boys to girls in a class is 3:2, how many girls are there if there are 15 boys?

a)

12

b)

8

c)

10

d)

5

4.

How do you represent the transformation of a shape when it is reflected over the y-axis?

a)

The transformation of a shape reflected over the y-axis is represented by changing each point (x, y) to (x, -y).

b)

The transformation of a shape reflected over the y-axis is represented by changing each point (x, y) to (-y, x).

c)

The transformation of a shape reflected over the y-axis is represented by changing each point (x, y) to (-x, y).

d)

The transformation of a shape reflected over the y-axis is represented by changing each point (x, y) to (y, x).

5.

Convert the number 2500 into standard form.

a)

2.5 x 10^2

b)

2.5 x 10^3

c)

250 x 10^1

d)

25 x 10^2

6.

What is the sum of the angles in a triangle?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

120 degrees

7.

If a sequence of natural numbers starts at 1 and increases by 2 each time, what is the 5th term?

a)

11

b)

7

c)

5

d)

9

8.

How do you calculate the percentage increase from 50 to 75?

a)

50%

b)

25%

c)

100%

d)

30%

9.

If a transformation involves rotating a shape 90 degrees clockwise, what is the new position of the point (2, 3)?

a)

(2, 3)

b)

(0, 5)

c)

(3, -2)

d)

(5, 2)

10.

If a vector C = (4, -3) is reflected over the x-axis, what are the coordinates of the new vector?

a)

(4, -3)

b)

(-4, 3)

c)

(4, 3)

d)

(-4, -3)

11.

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

a)

50 cm³

b)

45 cm³

c)

60 cm³

d)

72 cm³

12.

What is the result of the transformation of the point (1, 2) after a translation of (3, -1)?

a)

(4, 1)

b)

(3, 2)

c)

(4, 2)

d)

(1, 1)

13.

Solve and Simplify (no exponent)

202^0  

a)

00  

b)

11  

c)

22  

d)

12\frac{1}{2}  

14.

Solve and Simplify (no exponent)

(12)4\left(\frac{1}{2}\right)^4  

a)

14\frac{1}{4}  

b)

1616  

c)

124\frac{1}{2^4}  

d)

116\frac{1}{16}  

15.

Solve and Simplify (no exponent)

333^{-3}  

a)

2727  

b)

133\frac{1}{3^3}  

c)

333^3  

d)

127\frac{1}{27}  

16.

Solve and Simplify (no exponent)

(22)3\left(2^2\right)^3

a)

262^6

b)

6464

c)

252^5

d)

3232

17.

Solve and Simplify (no exponent)

33343^3\cdot3^4

a)

373^7

b)

21872187

c)

33

d)

44

18.

Following the pattern in the sequence

3, 10, 17, 24, 31, ... , what would be the next term?

a)

36

b)

37

c)

38

d)

39

19.

Give the next term in the sequence

1, 4, 9, 16, 25, ...

a)

36

b)

49

c)

64

d)

81

20.

What would be the next term in the sequence 11, 7, 3, -1, -5, ...?

a)

-8

b)

-9

c)

-10

d)

-11

21.

The terms in the number sequence

1, 2, 3, 5, ...are generated by:

a)

the sequence does not fit a pattern

b)

adding the previous two terms

c)

adding 1 and 2

d)

adding 1

22.

Complete this sequence 0, 1, 1, 2, 3, 5

a)

6, 8, 10

b)

8, 11, 19

c)

8 , 13, 21

23.
What is a variable in Algebra?
a)
Something that changes
b)
An unknown value
c)
An equation
d)
A numeric expression
24.
What is an algebraic expression made of?
a)
Numbers and operations
b)
Numbers and multiplication
c)
Addition and multiplication
d)
Numbers and variables
25.
Write the phrase as an expression.
12 fewer than 22
a)
22/12
b)
12 - 22
c)
22 - 12
26.
What is the operation of the following expression?   x/5
a)
multiplication 
b)
addition 
c)
subtraction 
d)
division 
27.
What is the algebraic expression for                  "the sum of n and 9"?
a)
n - 9
b)
n + 9
c)
n/9
d)
9n
28.
the product of 34 and z 
a)
34/z
b)
z/34
c)
z X 34
d)
34 - z 
29.
 Students mailed invitations to a play to 414 parents. Each student mailed 18 invitations. If s equals the number of
students who mailed invitations, which equation best shows the
number of invitations that were mailed?
a)
 s + 18 = 414 
b)
s ÷ 18 = 414 
c)
18 ÷ s = 414
d)
 18s = 414
30.
What is the value of x?
3x + 4 when x = -2
a)
10
b)
2
c)
-2
d)
4
31.

2(x+7)=-2\left(x+7\right)=  

a)

2x14-2x-14  

b)

2x+14-2x+14  

c)

2x142x-14  

d)

2x+142x+14  

32.

5(23y)=-5\left(2-3y\right)=  

a)

10+15y-10+15y  

b)

1015y-10-15y  

c)

1015y10-15y  

d)

10+15y10+15y  

33.

3(2q)5(q+4)=3\left(2-q\right)-5\left(q+4\right)=  

a)

8q14-8q-14  

b)

8q+26-8q+26  

c)

2q14-2q-14  

d)

2q+26-2q+26  

34.
Expand and simplify 4(x + 2) + 3(x + 5)
a)
7x + 23
b)
7x + 7
c)

7x + 15

d)
7x
35.
5(x-4)=30
a)
29
b)
10
c)
2
d)
21
36.
3(4r - 1) + 5 = 26
a)
-1
b)
2
c)
-2
d)
4
37.
3(2e + 5) + 8(1 - e) = 1
a)
11
b)
- 11
c)
13
d)
- 13
38.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
39.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
40.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
41.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
42.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
43.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
44.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
45.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
46.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
47.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
48.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
49.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
50.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

51.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

52.
What Transformation is visible?
a)
Dilation
b)
Refection
c)
Translation
d)
Rotation
53.

Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

54.
A vector is a mathematical structure that has both _______ and _______.
a)
direction, magnitude
b)
scope, sequence
c)
meat, potatoes
d)
scalar, vector
55.

How should you add two vectors? Select all that apply

a)

Add them head to tail

b)

Add them tail to tail

c)

don't why bother

d)

Use the parallelogram method

e)

Add them head to head

56.

When adding vectors graphically, the magnitude of the resultant vector is represented

a)

the length of the vector drawn

b)

the arrow head of the vector drawn

c)

both of the above

d)

none of the above

57.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

58.
Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.
a)
〈-10,3〉
b)
〈-6,3〉
c)
〈10,11〉
d)
〈-6,-3〉
59.

Given u = <3, 7>, find 2u

a)

<21, 2>

b)

<6, 26>

c)

<6, 14>

d)

23

60.

Which statement describes a vector?

a)

It has magnitude but no direction

b)

It has direction but no magnitude

c)

It has both direction and magnitude

d)

is it me, or are these all the same?

61.

Find the magnitude of the vector <10, -8>

a)

2

b)

12.81

c)

6

d)

18

62.

What is the sum of a vector addition problem called?

a)

components

b)

scalar

c)

resultant

d)

magnitude

63.
If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?
a)
20m
b)
40m
c)
0m
d)
-20m
64.
If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?
a)
12 km
b)
19 km, East
c)
31 km
d)
43 km, East
65.
In practice A of the figure, What is  the magnitude of the  resultant displacement?
a)
5 km 
b)
8 km
c)
11 km
d)
15 km
66.
A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?
a)
2 km
b)
8.6 km
c)
12 km
d)
12.6 km
67.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

68.

What is the formula used to solve for the hypotenuse?

a)

a2+b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c-a=c

69.
Identify the hypotenuse.
a)
x
b)
z
c)
w
70.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
71.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
72.
Find x.
a)
35
b)
20
c)
8
d)
12
73.

Danny and Bri are siblings. They go to different schools. Danny walks 6 blocks east from home. Bri walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)
14
b)
10
c)
5.3
d)
2
74.
The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? 
a)
10 ft
b)
14 ft
c)
17 ft
d)
100 ft
75.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
76.
Is this triangle a right triangle?
a)
yes
b)
no
77.

The plane containing the x-axis and the y-axis is the...

a)

grid system

b)

coordinate system

c)

ordered pair

d)

coordinate plane

78.

The first number in an ordered pair is...

a)

the larger number.

b)

the origin.

c)

the x-coordinate.

d)

the y-coordinate.

79.

The point where the two axes intersect in known as...

a)

the center.

b)

the relation.

c)

the intersection.

d)

the origin.

80.

What is the domain of this graph?

a)

D = { 2,3,-5,-3,-3,-5}

b)

D = {-5, -3, 2 }

c)

D = {-5, -3, 3}

d)

D = {-5, -3}

81.

What is the range of this graph?

a)

R = { 2,3,-5,-3,-3,-5}

b)

R = {-5, -3, 2 }

c)

R = {-5, -3, 3}

d)

R = {-5, -3}

82.

The left grouping in a mapping is the...

a)

domain.

b)

range.

c)

y-axis.

d)

relation.

83.

The right grouping in a mapping is the...

a)

domain.

b)

range.

c)

x-axis.

d)

coordinate system.

84.

The faster you drive your car, the longer it will take to stop.

What is the dependent variable?

a)

the car

b)

the speed of the car

c)

the length of the car.

d)

stopping distance of the car

85.
What is the range of the following graph?
a)
-5, -1,  0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1)  ( 6, 0)
d)
(6, 0)
86.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
87.

Write an equation for this relation.

a)

y = -5x

b)

y = -5x + 1

c)

y = 5x

d)

y = 5x - 1

88.

The relation that is represented by the equation y = 20 - 2x has the domain

{3 , 4, 5, 6}. Which of the following sets is the range of the relation?

a)

{3, 4, 5, 6}

b)

{8, 10, 12, 14}

c)

{12, 13, 14, 15}

d)

{14, 16, 18, 20}