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Questions and Answers

Which answer choice represents the number 1,385,652 when rounded to the nearest one hundred?

  • 1,386,000
  • 1,385,700 (correct)
  • 1,385,600
  • 1,400,000

Which number below is less than 5.185?

  • 5.205
  • 5.188
  • 5.163 (correct)
  • 5.193

The numbers listed are to be placed in order from least to greatest. Which number must be listed third? 8.75, 4.68, 5.232, 7.41, 6.98

  • 6.98 (correct)
  • 5.232
  • 7.41
  • 4.68

What is the mean of the set of data? 30, 34, 61, 28, 54, 45

<p>42 (C)</p> Signup and view all the answers

The box and whisker plot shown at the right represents SAT scores from Mrs. Thompson's students. What is the range of this data?

<p>470 (A)</p> Signup and view all the answers

The line plot shows the distances which teachers at Polk Elementary School live away from the school. What is the median of the data?

<p>24 (B)</p> Signup and view all the answers

What is the greatest common factor for 105 and 245?

<p>35 (C)</p> Signup and view all the answers

Which answer choice below must replace the "?" so that the list of numbers will have a sum of 400? 55, 68, 41, 66, 37, ?, 49

<p>84 (A)</p> Signup and view all the answers

Lizzie has been walking her dog every day this week. The table below shows the distances Lizzie walked. How much further would Lizzie have had to walk in order to cover a total distance of 9 miles? (Mon: 1.2, Tue: 1.3, Wed: 1.7, Thu: 1.5, Fri: 1.8)

<p>1.5 miles (C)</p> Signup and view all the answers

What is the difference between $5 \frac{3}{4} - 2 \frac{1}{4}$?

<p>$3 \frac{1}{2}$ (C)</p> Signup and view all the answers

Mary is making a triangular sign for her room and wants to outline it with ribbon. Each side of the sign measures $4 \frac{1}{5}$ inches. How much ribbon does Mary need?

<p>$12 \frac{3}{5}$ (A)</p> Signup and view all the answers

Mr. Martin's class is having a party and Susie is setting out four bowls for punch. If Susie has $\frac{1}{2}$ gallon of punch, how much should she pour into each bowl?

<p>$\frac{1}{8}$ gallon (A)</p> Signup and view all the answers

Calaveras County Elementary School has 168 female students in the fifth grade. If the ratio of boys to girls in the fifth grade is 6 to 7, how many fifth graders are male?

<p>144 (D)</p> Signup and view all the answers

Jayden's allowance is currently $5.00 but her parents have promised to raise her allowance by 10% if she earns an A in every subject on her next report card. What will be Jayden's new allowance?

<p>$5.50 (A)</p> Signup and view all the answers

By state law, the number of children attending a day care center is proportional to the number of workers. If there must be 2 adult workers for every 8 children, how many workers are needed for 144 children?

<p>36 (B)</p> Signup and view all the answers

Which measurement in the answer choices given below represents the greatest length?

<p>110 inches (C)</p> Signup and view all the answers

Jumanji is an African elephant who weighed 235 pounds when he was born. As an adult, Jumanji now weighs 6 tons. How many pounds has Jumanji gained so far?

<p>11,765 pounds (C)</p> Signup and view all the answers

Nelson is wrapping a birthday gift for his mom. He begins with 2 meters of ribbon and cuts off 44 centimeters to use on the gift. How many centimeters of the ribbon is left?

<p>156 centimeters (C)</p> Signup and view all the answers

Which list of ordered pairs given in the answer choices matches the ordered pairs graphed?

<p>(-3, 0), (0, 6) (B)</p> Signup and view all the answers

In the graph shown above, which number will represent the y-value when the x-value is 3?

<p>y = 12 (B)</p> Signup and view all the answers

Jake started taking swim lessons three weeks before Caleb did. In the table given, 'a' represents the number of weeks Jake has been attending swim class and 'b' represents the number of weeks Caleb has been in class. Which answer choice fits in place of the question mark? (Table shows: b=[2, ?, 7, 11], a=[5, 8, 10, 14])

<p>5 (B)</p> Signup and view all the answers

Which name best describes a triangle with two equal sides and two equal angles?

<p>isosceles (C)</p> Signup and view all the answers

In the figure shown with two lines intersecting and forming angles numbered 1 through 4, which pair of angles must be supplementary?

<p>$\angle 2$ and $\angle 3$ (D)</p> Signup and view all the answers

Annie's rectangular sand box has a length of 6 feet and a width of 9 feet. What is its perimeter?

<p>30 feet (D)</p> Signup and view all the answers

What is the area of the parallelogram?

<p>13.65 square inches (A)</p> Signup and view all the answers

How many lines of symmetry does a regular hexagon have?

<p>6 (B)</p> Signup and view all the answers

A fair coin is tossed twice. What is the probability of getting heads both times?

<p>$\frac{1}{4}$ (A)</p> Signup and view all the answers

A fair six-sided number cube is rolled. What is the probability of rolling a 3?

<p>$\frac{1}{6}$ (B)</p> Signup and view all the answers

What is the value of the expression given when z = 4? $44 \div z$

<p>11 (D)</p> Signup and view all the answers

Four fewer than twice a number equals 6. Which equation represents this sentence?

<p>$2n - 4 = 6$ (C)</p> Signup and view all the answers

Two angles of a triangle measure $72^\circ$ and $46^\circ$. What is the measure of the remaining angle?

<p>$62^\circ$ (D)</p> Signup and view all the answers

The volume of a cube is 216 cubic centimeters. What is the length of one side of the cube?

<p>6 centimeters (A)</p> Signup and view all the answers

Which transformation has been performed on the figure shown?

<p>reflection (A)</p> Signup and view all the answers

What is the value of this expression? $5 \times 6 + 3 - 8 + 16 \div 4$

<p>29 (A)</p> Signup and view all the answers

Your math teacher draws numbers from a box to assign problems to students. The box contains cards numbered 1 to 32. What is the probability that your teacher will draw out a card containing a number that is evenly divisible by 6?

<p>$\frac{5}{32}$ (C)</p> Signup and view all the answers

What is the value of the variable in the equation? $4x - 5 = 19$

<p>6 (D)</p> Signup and view all the answers

Flashcards

Rounding to Nearest Hundred

The number 1,385,652 rounded to the nearest one hundred is 1,385,700.

Ordering Numbers

Ordering numbers from least to greatest involves arranging them from smallest to largest.

Mean

The mean of a set of data is the sum of all the values divided by the number of values.

Range of Data

The range of a data set is the difference between the largest and smallest values.

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Median of Data

The median of a data set is the middle value when the data is ordered from least to greatest.

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Greatest Common Factor (GCF)

The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

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Line of Symmetry

A line of symmetry divides a shape into two identical halves.

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Area of Parallelogram

To find the area of a parallelogram, multiply the base by the height. A= bh

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Probability

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

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Supplementary Angles

Supplementary angles are two angles whose measures add up to 180 degrees.

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Perimeter of Rectangle

The perimeter of a rectangle is the sum of all its sides.

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Study Notes

Rounding Numbers

  • 1,385,652 rounded to the nearest one hundred is 1,385,700.

Comparing Decimals

    1. 163 is less than 5.185.

Ordering Numbers

  • Given the numbers 8.75, 4.68, 5.232, 7.41 and 6.98 the third number when ordered from least to greatest is 6.98.

Calculating the Mean

  • The mean of the data set 30, 34, 61, 28, 54, 45 is 42.

Data Range

  • The range of the SAT Math Scores is 470

Finding the Median

  • The median distance for the teachers at Polk Elementary School is 24m.

Greatest Common Factor

  • The greatest common factor (GCF) for 105 and 245 is 35.

Finding the Missing Number

  • The number that must replace the "?" in the list 55, 68, 41, 66, 37, ?, 49 to have a sum of 400 is 84.

Calculating Distance

  • Lizzie needs to walk 1.5 miles further to cover a total distance of 9 miles.

Calculating the Difference of Fractions

  • The difference between 5 3⁄4 and 2 1⁄4 is 3 1⁄2.

Calculate with Fractions

  • Mary requires 12 3⁄5 inches of ribbon to outline the triangular sign.

Dividing Fractions

  • Susie should pour 1⁄8 of a gallon of punch into each bowl.

Ratios

  • If there are 168 girls then there are 144 male fifth graders at Calaveras County Elementary School.

Percentage Increase

  • Jayden's new allowance will be $5.50

Proportions

  • 36 adult workers are needed for 144 children.

Units of Measurement

  • 110 inches is the greatest length provided.

Unit Conversions

  • Jumanji gained 11,765 pounds so far.

Subtracting Units

  • Nelson has 156 centimeters of ribbon left.

Ordered Pairs

  • The list of ordered pairs that matches the graph is (-3, 0), (0, 6).

Finding the Y-Value

  • In the graph shown, the y-value will be 12 when the x-value is 3.

Finding the Missing Value

  • The missing value is 5.

Types of Triangles

  • A triangle with two equal sides and two equal angles is best described as isosceles.

Types of Angles

  • ∠2 and ∠3 are supplementary.

Perimeter

  • The perimeter of Annie’s rectangular sand box is 30 feet.

Area of a Parallelogram

  • The area of the parallelogram is 13.65 square inches.

Identifying Lines of Symmetry

  • A regular hexagon has 6 lines of symmetry.

Probability

  • The probability of getting heads when a fair coin is tossed twice is 1⁄4.

Probability

  • The probability of rolling a 3 on a fair six-sided number cube is 1⁄6.

Evaluating Expressions

  • The value of the expression 44 ÷ 𝑧 with 𝑧 = 4 is 11.

Writing Algebraic Equations

  • The correct equation is 2𝑛 − 4 = 6.

Tie Breakers

Angles in a Triangle

  • The remaining angle is 62°.

Volume of a Cube

  • The length of one side of the cube is 6 centimeters.

Geometry Transformations

  • A reflection has been performed on the figure shown.

Order of Operations

  • The value of the expression 5 x 6 + 3 – 8 + 16 ÷ 4 is 29.

Probability

  • The probability that a card drawn from a box of 32 cards will be evenly divisible by 6 is 5⁄32.

Solving Equations

  • The value of the variable in the equation 4𝑥 − 5 = 19 is 6.

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