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Worksheets

L1M2

Total questions: 70

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

A factor is:

a)

A number which multiplies by itself

b)

A number which is divisible by another number with no remainders

c)

A number that doubles each time

d)

A number which divides by itself

2.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
3.

Which number is a factor of every number?

a)

zero

b)

one

4.

What is the fourth multiple of 10

a)

1000

b)

100

c)

40

d)

14

5.

Which of these number(s) are multiples of 5?

a)

1145

b)

12000

c)

3221

d)

5484

e)

14780

6.

Which ones are the factors of 12

a)

1,2,3,4,5,6,7,8,9,10,11,12

b)

1,2,3,4,6,12

c)

1,12

d)

2,3,4,6

7.
A prime number...
a)
has one factor.
b)
has more than 2 factors.
c)
has 100 factors.
d)
has exactly 2 factors: 1 and the itself.
8.

Find the prime factorization of 72

a)

23 x 32

b)

2 x 32 x 4

c)

24 x 33

d)

22 x 62

9.

What factors do these numbers (16 and 24) have in common?

a)

2

b)

3

c)

2 and 2

d)

2, 2, and 2

10.

Which of the following correctly represents Euclid's Division Lemma?

a)

a = bq + r, b>a, 0 ≤ r

b)

a = bq + r, a>b, 0 ≤ r

c)

a = bq + r, a>b, 0 ≤ r < b

d)

a = bq + r, a>b, 0 ≥ r > b

11.

What part of the venn diagram do you look at to find the LCM?

a)

middle

b)

all

c)

left side only

d)

right side only

12.

What part of the venn diagram do you look at to find the GCF?

a)

middle

b)

all

c)

left side only

d)

right side only

13.

Use the diagram to find the LCM of 84 and 96

a)

42

b)

224

c)

336

d)

672

14.

Use the diagram to find the HCF of 18 and 24

a)

5

b)

6

c)

3

d)

12

15.

What is the value of 30 - (5 × 23 - 15)?

a)

-25

b)

5

c)

15

d)

-15

16.

39 - 6 x (7 - 2) + 32

a)

18

b)

30

c)

139

d)

384

17.

Write the following expression in factored form:

100 - 20

a)

15 (6 - 1)

b)

20 (5 - 1)

c)

20 (5 - 20)

d)

20 (100 - 1)

18.

Using the Commutative Property how else can we build this array?

a)
b)
c)
d)
19.
What is the answer to this equation?
3 x 1/3 ( Inverse of Mult.) 
a)
1
b)
22
c)
3
d)
400
20.
3 x 8 - (9 - 7)3
a)
16
b)
18
c)
0
21.

How can we identify the commutative property?

a)

The groups that are being added/multiplied change.

b)

The order of items that are being added/multiplied changes.

c)

The answer is always zero.

d)

The commutative property is a hoax.

22.

The round off value of 38.23 to the nearest whole number is

a)

35

b)

40

c)

39

d)

38

23.
Estimate to the thousands place.
38,674 + 83,102 =
a)
122
b)
122,000
c)
120,000
d)
121,776
24.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

25.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

26.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2:5
b)
5:3
c)
3:5
d)
5:2
27.
Which ratios are proportional?
a)
10/20  20/40
b)
10/17  20/40
c)
13/18   16/25
d)
1/4        1/3
28.

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

29.

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

a)

-8

b)

-9

c)

-10

d)

-11

30.

How many square would there be in the next figure?

a)

12

b)

13

c)

14

d)

15

31.

These are the elements in a sequence.

a)

items

b)

terms

c)

numbers

d)

figures

32.
What is 57 mod 7?
a)
0 mod 7
b)
1 mod 7
c)
7 mod 7
d)
-1 mod 7
33.
What is 6 mod 9 + 11 mod 9 congruent to?
a)
8 mod 9
b)
6 mod 9
c)
7 mod 9
d)
0 mod 9
34.

Evaluate (74-25) mod 8

a)

(74-25) mod 8=1

b)

(74-25) mod 8=6

c)

(74-25) mod 8=3

d)

(74-25) mod 8=8

35.
For Modular Arithmetic what value is the most important?
a)
The Modulo
b)
The Given Number
c)
The Remainder
d)
The Divisor
36.
What is 9 mod 2 - 10 mod 2 congruent to?
a)
0 mod 2
b)
1 mod 2
c)
-1 mod 2
d)
-2 mod 2
37.
A rule that is accepted without proof
a)
postulate
b)
theorem
c)
proof
d)
conditional statement
38.
A statement proved true using axioms, postulates, or other theorems known to be true
a)
theorem
b)
angle
c)
transversal
d)
Euclidean Geometry
39.

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Compliments Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

40.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

41.

True or False.

Partition Axiom shows that a whole is equal to the sum of its parts.

(a)  

42.

True or False

If x =y and n = m, then x + n = y + m . This is an example of a transitive axiom.

(a)  

43.
If a = b, then a may be replaced by b in any expression.
a)
Transitive Property         
b)
Reflexive Property             
c)
Symmetric Property 
d)
Substitution Property
44.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)

Transitive Axiom

b)

Symmetric Axiom

c)

Closure Axiom

d)

Commutative Axiom

45.

"5(-3) is a real number" is a representation of which axioim?

a)

The closure axiom

b)

The commutative axiom

c)

The reflexive axiom

d)

The transitive axiom

46.
What is the value of x and y?
a)
x=75°; y=93°
b)
x=65°;y=104°
c)
x=75°; y=94°
d)
x=65°; y=93
47.
find the measure of angle a
a)
30
b)
21
c)
60
d)
120
48.

If the circumference of a circle is 22π , what is the diameter?

a)

22 ft

b)

11 ft

c)

π ft

d)

0 ft

49.

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

a)

x=32 , y= 58

b)

x=29, y=58

c)

x=32 , y=32

50.

Which geometric constraint is used to ensure that two lines remain parallel to each other?

a)

angle constraint

b)

perpendicular constraint

c)

curved constraint

d)

parallel constraint

51.

Find the solution to  50\frac{5}{0}  .

a)

undefined

b)

zero

c)

5

d)

1

52.

How do you graph a circle given its equation in standard form?

a)

Connect the points on the graph to form a circle

b)

Plot the center and use the radius to plot points around it to form the circle.

c)

Use the equation to find the slope and intercept

d)

Graph the equation as a straight line

53.

These are figures that formed by intersecting two inverted cones and a plane.

a)

Cross Sections

b)

Conic Sections

c)

Circles

d)

Parabolas

54.

If the plane cuts the cone in the similar fashion but at a certain angle, then the conic section is an (a)   .

55.

What type of conic section is 2x2+2y24x16y9=02x^2+2y^2-4x-16y-9=0  ?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

56.

What type of conic section is shown?

a)

Ellipse

b)

Parabola

c)

Hyperbola

d)

Circle

57.

When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a _______________.

a)

Parabola

b)

Circle

c)

Hyperbola

d)

Ellipse

58.

Classify the conic section.

a)

Circle

b)

Ellipse

c)

Hyperbola

d)

Parabola

59.
Convert the rectangular coordinates to polar form
a)
(√2 , 7π/4)
b)
(2 , 3π/4)
c)
(4 , π/4)
d)
(4 , 5π/4)
60.

Which letter represents the point

(5,π)(5,π)  ?

a)

F

b)

E

c)

B

d)

A

61.

1. What is the main object of study in algebraic geometry?

a)

a. Curves and surfaces defined by polynomials

b)

b. Linear equations

c)

c. Numbers and sequence

d)

d. Graphs and networks

62.

  1. How is algebraic geometry applied in cryptography?

a)

a. By using polynomial equations to encode messages

b)

b. By applying elliptic curves for secure encryption

c)

c. By studying the geometry of elliptic curves in public-key systems

d)

d. By finding solutions to Diophantine equations

63.
In order for ABCD to be a parallelogram, what must the value of x be?
a)
132
b)
66
c)
114
d)
48
64.

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

a)

Length of AC = Length of BD, therefore Side AC is congruent to Side BD

b)

Length of AC = Length of BD, therefore Side AC is parallel to Side BD

c)

Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

d)

The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

65.

If a point is defined as having zero dimensions, what does it mean in terms of its properties?

a)

It has length but no width or height

b)

It has width but no length or height

c)

It has height but no length or width

d)

It has no length, width, or height

66.

Which is the dimension where everything is flat?

a)

2D

b)

3D

c)

Uriel

67.

Jake is constructing a triangle. He has one side that is 8 inches long and another side that is 13 inches long. Which of the following could be the length of the third side?

a)

5

b)

13

c)

21

d)

33

68.

What is the area of a circle with a circumference of 56.52 inches? (Hint: You need to divide by 3.14 to find the diameter, and then the radius, and THEN the area!)

a)

177.47 square inches

b)

254.34 square inches

c)

508.68 square inches

d)

1017.36 square inches

69.

A rectangle has a perimeter of 48 meters. The length of the rectangle is 8 meters. What is the area of the rectangle? (Hint: Find the width first!)

a)

128 square meters

b)

192 square meters

c)

576 square meters

d)

2304 square meters

70.

A cube has a side length of 9 centimeters. What is the surface area of the cube?

a)

486 centimeters squared

b)

216 centimeters squared

c)

354 centimeters squared

d)

262 centimeters squared