Math 20-2 Final Review provides comprehensive coverage of key mathematical concepts for Grade 11 students. It includes multiple-choice questions, problem-solving exercises, and essential topics such as algebra, geometry, and trigonometry. This review is ideal for students preparing for exams or seeking to reinforce their understanding of the curriculum. The document is structured to facilitate effective study and revision, making it a valuable resource for learners aiming to excel in their math assessments.

Key Points

  • Includes multiple-choice questions covering algebra, geometry, and trigonometry.
  • Designed for Grade 11 students preparing for math exams.
  • Offers problem-solving exercises to reinforce key mathematical concepts.
  • Structured for effective study and revision to enhance understanding.
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27 pages
Language:English
Type:Answer Key
Math
slug_disco
27 pages
Language:English
Type:Answer Key
Math
slug_disco
27 pages
Language:English
Type:Answer Key
Math
73

Math 20-2 Final Review pdf

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Name: ______________________ Class: _________________ Date: _________ ID: A
1
Math 20-2 Final Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1.
Guilia created the following table to show a pattern.
Multiples of 9
18
27
36
45
54
Sum of the Digits
9
9
9
9
9
Which conjecture could Guilia make, based solely on this evidence?
Choose the best answer.
a.
The sum of the digits of a multiple of 9 is equal to 9.
b.
The sum of the digits of a multiple of 9 is an odd integer.
c.
The sum of the digits of a multiple of 9 is divisible by 9.
d.
Guilia could make any of the above conjectures, based on this evidence..
____
2.
Siddartha made the following conjecture.
When you divide two whole numbers, the quotient will be greater than the divisor and less
than the dividend.
Which choice, if either, is a counterexample to this conjecture?
1.
4
8
= 0.5
2.
12
4
= 3
a.
Choice 1 only
b.
Neither Choice 1 nor Choice 2
c.
Choice 1 and Choice 2
d.
Choice 2 only
____
3.
Which of the following choices, if any, uses deductive reasoning to show that the sum of
three even integers is even?
a.
x + y + z = 2(x + y + z)
b.
2 + 4 + 6 = 12 and 4 + 6 + 8 = 18
c.
2x + 2y + 2z = 2(x + y + z)
d.
None of the above choices
Bodnar Trevor Tuesday, January 15, 2013 10:43:38 AM MT
Name: ______________________ ID: A
2
____
4.
Which type of reasoning does the following statement demonstrate?
All birds have feathers.
Robins are birds.
Therefore, robins have feathers.
a.
inductive reasoning
b.
deductive reasoning
c.
neither inductive nor deductive reasoning
____
5.
Determine the unknown term in this pattern.
3, 6, 12, 24, ____, 96, 192
a.
48
b.
102
c.
96
d.
36
____
6.
Which number should appear in the centre of Figure 4?
Figure 1
Figure 3
Figure 4
a.
36
b.
24
c.
41
d.
11
____
7.
In which diagram(s) is AB parallel to CD?
1.
2.
a.
Choice 1 only
b.
Choice 2 only
c.
Choice 1 and Choice 2
d.
Neither Choice 1 nor Choice 2
Bodnar Trevor Tuesday, January 15, 2013 10:43:38 AM MT
Name: ______________________ ID: A
3
____
8.
Which angle property proves ∠DAB = 120°?
a.
alternate exterior angles
b.
corresponding angles
c.
vertically opposite angles
d.
alternate interior angles
____
9.
Which are the correct measures of the interior angles of ΔCDE?
a.
∠DCE = 56°, ∠CDE = 101°, and ∠CED = 23°
b.
∠DCE = 46°, ∠CDE = 101°, and ∠CED = 33°
c.
∠DCE = 32°, ∠CDE = 83°, and ∠CED = 65°
d.
∠DCE = 76°, ∠CDE = 91°, and ∠CED = 13°
____
10.
Which are the correct measures for ∠WXZ, ∠UZY, and ∠VYX?
a.
∠WXZ = 162°, ∠UZY = 106°, and ∠VYX = 88°
b.
∠WXZ = 166°, ∠UZY = 109°, and ∠VYX = 89°
c.
∠WXZ = 152°, ∠UZY = 116°, and ∠VYX = 88°
d.
∠WXZ = 162°, ∠UZY = 106°, and ∠VYX = 92°
Bodnar Trevor Tuesday, January 15, 2013 10:43:38 AM MT
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End of Document
73

Figures

7. In which diagram(s) is
parallel to
6. Which number should appear in the centre of Figure 4?
Math 20-2 Final Review — Figure 4
Choice 1 only
Math 20-2 Final Review — Figure 1
alternate exterior angles
DCE
WXZ
(sin
Math 20-2 Final Review — Name: ______________________
Math 20-2 Final Review — Name: ______________________
Math 20-2 Final Review — Name: ______________________
Bodnar Trevor Tuesday, January 15, 2013 10:43:38 AM MT
50. Determine the roots of the equation 4
Math 20-2 Final Review — Name: ______________________
58. Given
59. Rationalize each expression to compare the radical expressions. Show each step.
PTS: 1

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FAQs

What conjecture does Guilia make about multiples of 9?
Guilia creates a table showing the multiples of 9 and their corresponding sums of digits. She observes that the sum of the digits for each multiple of 9 listed—18, 27, 36, 45, and 54—is consistently 9. Based on this evidence, her conjecture is that the sum of the digits of a multiple of 9 is equal to 9.
How do you determine the sum of angles in a polygon?
To determine the sum of the measures of the angles in a polygon, the formula used is (n - 2) × 180°, where n is the number of sides in the polygon. For example, in a 12-sided convex polygon, the sum of the angles would be (12 - 2) × 180°, which equals 1800°. Similarly, for a 9-sided polygon, the sum would be (9 - 2) × 180°, resulting in 1260°.
What are the measures of the interior angles of triangle CDE?
The measures of the interior angles of triangle CDE are given as ∠DCE = 56°, ∠CDE = 101°, and ∠CED = 23°. These angles add up to 180°, confirming the angle sum property of triangles. This demonstrates the relationship between the angles in a triangle and their total measure.
What is the counterexample to Siddartha's conjecture about division?
Siddartha conjectures that when dividing two whole numbers, the quotient will be greater than the divisor and less than the dividend. The counterexamples provided are 4 ÷ 8 = 0.5 and 12 ÷ 4 = 3. In the first case, the quotient (0.5) is less than the divisor (4), disproving the conjecture.
Which reasoning type is used in the statement about robins and feathers?
The statement 'All birds have feathers. Robins are birds. Therefore, robins have feathers.' demonstrates deductive reasoning. This type of reasoning involves starting with general premises and arriving at a specific conclusion, confirming the logical relationship between the premises.
How can you express the ratios of side-angle pairs in triangle QRS?
In triangle QRS, the ratios of the side-angle pairs can be expressed using the sine law. The correct expression is q(sin R) = r(sin S) = s(sin Q), which illustrates the relationship between the lengths of the sides and the sine of their opposite angles.
What is the simplest form of the expression 7√8 – 2√72 – 50?
The simplest form of the expression 7√8 – 2√72 – 50 is –9√2. This involves simplifying each radical term and combining like terms to arrive at the final result.

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