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Math 7 Final (Geo/Prob) 2022

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Last updated almost 4 years ago
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Question 1
1.

Match the following math vocabulary term to it's definition or example.

Draggable itemarrow_right_altCorresponding Item
Theoretical Probability
arrow_right_alt
The sum of the area of the all lateral faces of a solid.
Volume
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Shows the two-dimensional pattern for a prism.
Box and Whisker Plots
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Measures the space occupied by a solid.
Experimental Probability
arrow_right_alt
The measure of a chance of a specific event occurring. Can be expressed as a ratio comparing favorable outcomes to all possible outcomes.
Probability
arrow_right_alt
The set of all possible outcomes.
Compound Events
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What should happen in an experiment, an investigation or procedure with varying results.
Median
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What actually happens after an experiment of many trials.
Sample Space
arrow_right_alt
The probability of two or more simple events.
Net
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A way to display data on a number line by organizing it into 4 sections.
Lateral Area
arrow_right_alt
The middle value of a set of data when listed in order from least to greatest.
Question 2
2.

What is the measure of <ABC?
(Put the number only, you do not need to put the degree symbol)

Question 3
3.

What is the measure of <ABC?
(Put the number only, you do not need to put the degree symbol)

Question 4
4.

If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, and m∠D = (15x – 8)°, find m∠D.

Question 5
5.

Find the value of x.

Question 6
6.

Use appropriate tools strategically. <R and <S are supplementary. m<R =25° and m<S = (4x + 3)°. Find the value of x.

Question 7
7.

The figure shows two angles. What is the value of x?

Question 8
8.

Question 9
9.

Angle A and angle C are vertical angles.  If m∠A=(3x+7)° and  m∠C=(x+53)°, what is the value of x?

Question 10
10.

The sum of the three angles of a triangle is _________.

Question 11
11.

Question 12
12.

The diameter of a circle is 10 inches. What is the radius? Write the answer only.

Question 13
13.

A circle has radius, r , diameter, d , and circumference, C. What ratio defines π?

Question 14
14.

Find the circumference of a circle with a diameter of 25 feet. Express your answer as a decimal.

Question 15
15.

What is the approximate circumference of a circle with a radius of 12 ft? Use 3.14 for π.

Question 16
16.

What is the area of a circle with a diameter of 10 cm? Use 3.14 for π.

Question 17
17.

What is the area of a circle with a radius of 8 feet?

Question 18
18.

The measures of the sides of a right triangle are 3 yards, 4 yards, and 5 yards. What is the area of the triangle?

Question 19
19.

What is the area of this shape?

Question 20
20.

Question 21
21.

A rectangular prism has a length of 36 in., a width of 24 in., and a height of 12 in. What is the volume of the prism?

Question 22
22.


What is the Volume of the cube?

Question 23
23.

A triangular prism has a base area of 12 cm and a height of 4 cm. What is the volume?

Question 24
24.

Question 25
25.

If the spinner is spun once, what is the probability it lands on an unshaded area?

Question 26
26.

A standard die is rolled and a penny is tossed. Draw a tree diagram to show all possible outcomes.

Question 27
27.


This spinner above is spun 40 times. The table shows the results. Use this to answer Questions 25-27.

What is the theoretical probabiltiy of landing on green or yellow?

Question 28
28.

Using the spinner and table pictured in #25, what is the experimental probability it would land on green or yellow?

Question 29
29.

Based on the experimental probability, if the spinner were spun 500 times, how many times would you expect to land on green or yellow?

Question 30
30.

The box plot above shows the battery life, in hours, of a group of 16 laptops. What is the median number of battery life for the laptops?

Question 31
31.

What percent of the laptops have a battery life of at least 6
hours?


Question 32
32.

How many laptops have a battery
life less than 4.5 hours?