Numbers and Operations

Measure-ment

Geometry Patterns, Functions,

Algebra

Data Analysis

Probability

$100 $100 $100 $100 $100

$200 $200 $200 $200 $200

$300 $300 $300 $300 $300

$400 $400 $400 $400 $400

$500 $500 $500 $500 $500

Which digit is the 4 added to?

0.4 + 3.59

Which digit is the 4 subtracted from?

8.361 – 5.74

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In the problem 0.4 + 3.59, the 4 is added to the digit 5 because both digits are in the tenths place.

In the problem 8.361- 5.74, the 4 is subtracted from the 6 because both digits are in the hundredths place.

Remember to line up the decimal.

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Identify the name of the measurement described below.

A. Space inside a flat surface

B. Covering the faces of a solid

C. Filling the inside of a solid

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A. The space inside a flat surface is AREA.

B. The covering of the faces is SURFACE AREA.

C. The space inside a solid is VOLUME.

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Describe the difference between parallel and perpendicular lines.

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Parallel lines travel in the same direction and never meet (like the l’s in the word parallel.

Perpendicular lines intersect (meet) to form a right angle (like the two segments that meet to form the capital letter L).

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Solve for b.

b = 5a – 6

a= 9

b= ____

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b = 5a – 6

a= 9

b= 5 x 9 – 6 = 45 – 6 = 39

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I am not sure on which day of the week I want to have baseball practice, so I write the days on slips of paper and put them into a hat. When I pick a day out of the hat, what is the probability that I will pick a day that begins with the letter “T”?

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There are 2 days in the week that begin with the letter “T” (Tuesday and Thursday), and 7 total days in a week.

Probability can be shown as a ratio comparing an event to the total number of outcomes.

Therefore, the probability of picking a day that begins with “T” is 2/7.

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$200

Find the equivalent decimal and percent for 2/5.

2/5 = 0.4 = 40%

To change the fraction to a decimal, change it to tenths or hundredths.

To change the fraction to a percent, change it to hundredths.

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Match each measurement with its possible unit.

1. Area A. feet (ft)

2. Perimeter B. square feet (ft²)

3. Volume C. cubic feet (ft³)

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1. B. Area is measured in square units.

2. A. Perimeter is measured in linear (length) units.

3. C. Volume is measured in cubic units.

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Describe the differences between a line, segment, and ray.

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A line travels forever in two directions.

A segment has two endpoints, and is just part of a line.

A ray has one endpoint, and travels forever in one direction.

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Find the missing number in the table and write the equation.

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x y

1 6

2 12

3 18

5

The missing number is 30 and the equation is y = 6x.

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x y

1 6

2 12

3 18

5 30

Find the range, mean, median, and mode from the following data.

7, 2, 6, 3, 2

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$200

7, 2, 6, 3, 2

Range = 7 – 2 = 5

Mean = (7+2+6+3+2) 5 = 4

Median = 3

Mode = 2

Round each decimal to the place value indicated.

3.47 to the nearest tenth

9.782 to the nearest hundredth

6.67 to the nearest one

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Remember that the place after the place you’re rounding to determines whether you round up or down.

3.47 to the nearest tenth is 3.5

9.782 to the nearest hundredth is 9.78

6.67 to the nearest one is 7

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Convert the following.

4 quarts = ____ pints

5 kilometers = ____ meters

10 pounds = ____ ounces

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4 quarts = 8 pints

1 qt = 2 pints, so multiply 2 by 4

5 kilometers = 5000 meters

1 km = 1000 m, so multiply 1000 by 5

10 pounds = 160 ounces

1 lb. = 16 oz., so multiply 16 by 10

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If two of the angles in a triangle are 70 and 50, then the third angle must be what?

If three of the angles in a quadrilateral are 100, 50, and 150, then the fourth angle must be what?

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A. 60 Remember that the sum of the interior (inside)

angles in a triangle is always 180.

B. 60.

Remember that the sum of the interior angles

in a quadrilateral is always 360.

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In the following equation, what happens to the value of y as x increases by 100?

y = x + 25

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As x increases by 100, y also increases by 100. Making a table that shows x increasing by 100 may help in solving this problem.

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x 0 100 200 300

y 25 125 225 325

Match each situation with the graph that is most appropriate (bar, circle, or line).

1. Percent of students voting for a favorite color

2. Change in temperature each day for a month

3. Number of students who take each bus to school

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1. Percent of students voting for a favorite color would be best on a circle graph. Circle graphs are good for percents or comparing parts to the whole.

2. Change in temperature each day for a month would be best on a line graph. Line graphs are good for showing something changing over time.

3. Number of students who take each bus to school would be best on a bar graph. Bar graphs are good for comparing different

categories. $300

Round each of the following fractions to the nearest ½, then estimate the sum.

7/8 + 4/9 + 3/5 =

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7/8 1

4/9 ½

3/5 ½

1 + ½ + ½ = 2

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The length of each side of the rectangle is 6 in. and the height is 5 in. Find the perimeter and area.

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The perimeter is the distance around the sides of a shape so it is 6 + 6 + 6 + 6 or

6 x 4 = 24 in.

The area of a parallelogram is

base x height so it is

6 x 5 = 30 in.²

Explain what it means for two shapes to be congruent.

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Shapes that are congruent are the same size and same shape.

This also means that their corresponding angles and sides are equal.

For example, the triangles below have equal angles and side lengths, so they are congruent.

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Match each example with the property it represents (associative, commutative, distributive, or identity).

A. 3 x 1 = 3

B. 2 x (5 x 7) = (2 x 5) x 7

C. 8 + 6 + 12 = 12 + 8 + 6

D. 3(5+4) = (3 x 5) + (3 x 4)

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A. 3 x 1 = 3 identity

B. 2 x (5 x 7) = (2 x 5) x 7 associative

C. 8 + 6 + 12 = 12 + 8 + 6 commutative

D. 3(5+4) = (3 x 5)+(3 x 4) distributive

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At a restaurant, you can either order a ham, turkey, peanut butter, or grilled cheese sandwich. You can order either soda, milk, tea, or water to drink. How many different combinations of sandwich and drink are there?

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Make an organized list.

HS, HM, HT, HW

TS, TM, TT, TW

PS, PM, PT, PW

GS, GM, GT, GW

There are 16 different combinations you can choose from.

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When finding an equivalent fraction, you must multiply or divide the fraction by some form of one. Explain what this means.

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You must multiply by some form of one means that you must multiply or divide both the numerator and denominator by the same number in order for the new fraction to be equal to the original one.

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Describe how to find the perimeter of a triangle.

What is the formula for the area of a triangle?

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To find the perimeter of a triangle you add the lengths of its sides.

To find the area of a triangle you multiply the base by the height then divide by two, as shown in the formula below.

A= ½ (b x h) = (b x h) 2

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A circle has a radius of 2 meters.

What is the diameter?

What is an estimate of the circumference?

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The radius is half way across the circle.

The diameter is all the way across, so it is twice as long as the radius. Diameter = 4 m

The circumference is the distance around the circle and can be found by multiplying the diameter by (which can be rounded to 3). Circumference 12 m

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I paid $4 to rent a movie but had to pay $2 for every day it was late being returned. It cost me a total of $10 for the movie. What equation can I use to find the number of days late (n) the movie was? How many days late was it?

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$4 + $2n = $10

n = 3 days

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In Class A, there are 16 boys and 9 girls. In Class B, there are 13 boys and 7 girls. If the teachers call on students at random, in which class will there be a greater probability of a girl being called on?

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A girl being called on in Class A has a probability of 9/25.

A girl being called on in Class B has a probability of 7/20.

9/25 = 36/100 = 36%

7/20 = 35/100 = 35%

Therefore 9/25 > 7/20 and a girl in Class A is more likely to be called on.

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