Math Content Review – Elementary Ed.

Name_______________________________ Date_____________________

No calculators.

- Shannon deposited $502 into a savings account that earns 6.95% interest per year. If she takes no money out of the account during the first year, Shannon calculated that she would have $508.95 in the account at the end of the year. Which of the following are ways to accurately estimate if Shannon’s calculation is reasonable?
- Add $502 and $6.95.
- Multiply $500 by 107%
- Multiply $500 by 6% and then add $502
- Multiply 5 by $7 and then add 502

- Match the item in the column to the approximate weight of the item taken from the following list: 2 mg, 2kg, 100g, 1200 kg, 9 kg, and 5 g.
- Match the item in the column to the approximate length of the item taken from the following list: 1 m, 2 cm, 30 m, 155 mm, and 12,755 km
- Change 254 cm to mm. Change 450 mm to km
- Write 20.034 × 10^4 in standard form. Write 3765 in scientific notation.
- What are the missing numbers in the pattern, 16, 32, __, 64, __, 96
- Which of the following are true about the following set of numbers: 6, 9, 12, 15, 18, 21?
- Arrange the following set of numbers in order from smallest to largest.
- What is the value of x, if the two figures are similar?
- Are the figures below scale drawings of each other? Why?
- Erica has some dimes and quarters in her pocket. The total value is $3.05. Write an equation that could be used to determine how many of the coins are dimes and how many are quarters.
- Write and equation to fit the data. Let n be the number in the group and c the cost of the trip.

a) Nickel

b) Compact automobile

c) Two liter bottle of soda

d) Recommended daily allowance of vitamin B-6

e) Size D Battery

f) Large Watermelon

a) Length of a Blue Whale

b) Diameter of the Earth

c) Height of a chair

d) Diameter of a nickel

e) Length of a dollar bill

a) Each number is a multiple of 6.

b) Each number has a factor of 3.

c) The numbers form arithmetic sequence.

d) All of the numbers are composite numbers

25%, .255, .0244, 5/16, 3/8

- To find 4 × 27, Marco calculated 4 × 20 + 4 × 7. What property is illustrated?
- Which of the following is the relationship between x and y in the graph below.
- Find the area of the triangle on the geoboard below.
- What operation (addition, subtraction, multiplication, or division) does the pattern below suggest?
- Martha surveyed 300 of the 21,000 families living in her town to determine how many families owned dogs. The data below represents the results of her survey. If the 300 families are representative of all families living in her town, about how many families in the town own two dogs? Write an equation to solve this problem.

a) Commutative

b) Associative

c) Distributive

d) Identity

a) As x increases y decreases

b) As x increases y increases

c) Both x and y have the same values

d) For all values of x, y = 2.

6 = 6

6 + 6 = 12

6 + 6 + 6 = 18

6 + 6 + 6 + 6 = 24

6 + 6 + 6 + 6 + 6 = 30

- What number does the base-ten model represent if the flat is 1?
- The table below shows the number of hours of sleep a group of college students got the night before a math test and each student’s score on the test. What type of graph would best be used to represent the data? Draw the graph. What does the data suggest?
- Adrian and Alice go to a snack bar at the beach. The snack bar sells 3 kinds of sandwiches (hamburgers, cheeseburgers, and hot dogs), 3 flavors of drinks (orange, cherry, and grape soda), and 2 different side orders (French fries and chips). If a meal form the snack bar consists of 1 sandwich, 1 drink, and 1 side order, how many different meals are possible?
- Martha is making Chocolate-Oat-Chip Cookies. What is the ratio of the amount of flour to the amount of brown sugar?
- If Martha has only ½ cup of Semi-Sweet Chocolate Morsels, about how many cookies can she make?
- Five friends went out to dinner. Beth got sick on something she ate. She had chicken, mashed potatoes, fruit salad, green beans, and chocolate ice cream. Mitzi and Jose did not get sick. They both had steak, French fries, green beans, and chocolate ice cream. Kitty and Anne also go sick on something they ate. Kitty had the chicken, French fries, green beans, and chocolate cake. Anne had the steak, mash potatoes, fruit salad, and chocolate ice cream. What strategies could be used to determine what caused three of the friends to get sick?
- All maple trees lose their leaves during the year. The tree in Henry’s front yard lost its leaves. Therefore, the tree in Henry’s yard is a maple tree. Is this argument valid or invalid? Why?
- Old McDonald wants to fence in a 254 feet by 174 feet rectangular pasture for his horses. 26 feet of the enclosure is to be left open for a gate. Which of the following problem solving strategies could be used to determine how much fencing would be needed to enclose the pasture? Explain.
- In Mr. Johnson’s 4
^{th}grade class, all of the children play one or more of the sports golf, tennis, or baseball during the summer. 20 children play golf, 18 children play tennis, 22 children play baseball, 13 children play tennis and golf, 10 children play tennis and baseball, 9 children play golf and baseball, and 6 children play all three sports. - Which of the following is a good story problem to illustrate what 4 ¼ ¸ ½ means?

** **

Chocolate-Oat-Chip Cookies

Makes about 3 dozen

1 ¾ cups all-purpose flour

1 teaspoon baking soda

½ teaspoon salt (optional)

1 ¼ cups packed brown sugar

1 cup (2 sticks) butter

½ granulated sugar

2 large eggs

2 tablespoons milk

2 teaspoons vanilla extract

2 ½ cups quick or old-fashioned oats

2 cups (12-oz. pkg.) Semi-Sweet Chocolate Morsels

1 cup coarsely chopped nuts

a) Draw a picture

b) Guess and check

c) Write an equation

d) Look for a pattern

a) How many children are in Mr. Johnson’s class?

b) How many children play only tennis?** **

c) How many children play basketball and tennis but not baseball?

#1: A recipe class for 4 ¼ cups of milk. How much milk is needed for half a batch.

#2: Mary has 4 ¼ yards of material. If each apron takes ½ yard of material, how many aprons can she make?

#3: Jim needs 4 ¼ yards pounds of lentils. How many half-pound bags should he buy?

- #1 and #2
- #1 only
- #2 and #3
- #1, #2, and #3

Math Content Review – Elementary Ed.

Name_____**KEY**__________________________ Date_____________________

No calculators.

- Shannon deposited $502 into a savings account that earns 6.95% interest per year. If she takes no money out of the account during the first year, Shannon calculated that she would have $508.95 in the account at the end of the year. Which of the following are ways to accurately estimate if Shannon’s calculation is reasonable?
- Add $502 and $6.95.
- Multiply $500 by 107%
- Multiply $500 by 6% and then add $502
- Multiply 5 by $7 and then add 502

- Match the item in the column to the approximate weight of the item taken from the following list: 2 mg, 2kg, 100g, 1200 kg, 9 kg, and 5 g.
- Match the item in the column to the approximate length of the item taken from the following list: 1 m, 2 cm, 30 m, 155 mm, and 12,755 km
- Change 254 cm to mm. Change 450 mm to km
- Write 20.034 × 10^4 in standard form. Write 3765 in scientific notation.
- What are the missing numbers in the pattern, 16, 32, _
**48**_, 64, _**80**_, 96 - Which of the following are true about the following set of numbers: 6, 9, 12, 15, 18, 21?
- Arrange the following set of numbers in order from smallest to largest.
- What is the value of x, if the two figures are similar?
- Are the figures below scale drawings of each other? Why?
- Erica has some dimes and quarters in her pocket. The total value is $3.05. Write an equation that could be used to determine how many of the coins are dimes and how many are quarters.
- Write and equation to fit the data. Let n be the number in the group and c the cost of the trip.

a) Nickel **5 g**

b) Compact automobile **1200 kg**

c) Two liter bottle of soda **2 kg**

d) Recommended daily allowance of vitamin B-6 **2 mg**

e) Size D Battery **100 g**

f) Large Watermelon **9 kg**

a) Length of a Blue Whale **30 m**

b) Diameter of the Earth **12,755 km**

c) Height of a chair **1m**

d) Diameter of a nickel **2 cm**

e) Length of a dollar bill **155 mm**

2540 mm .00045 km

200340 3.765 x 10^{3}

a) Each number is a multiple of 6.

b) **Each number has a factor of 3.**

c) The numbers form arithmetic sequence.

d) All of the numbers are composite numbers

25%, .255, .0244, 5/16, 3/8

**.0244; .250; .255; 5/16; 3/8**

X = 9

No

10X + 25Y = 305

C = 2n + 5

- To find 4 × 27, Marco calculated 4 × 20 + 4 × 7. What property is illustrated?
- Which of the following is the relationship between x and y in the graph below.
- Find the area of the triangle on the geoboard below.
- What operation (addition, subtraction,
, or division) does the pattern below suggest?__multiplication__ - Martha surveyed 300 of the 21,000 families living in her town to determine how many families owned dogs. The data below represents the results of her survey. If the 300 families are representative of all families living in her town, about how many families in the town own two dogs? Write an equation to solve this problem.
**80/300 = X/21,000**

a) Commutative

b) Associative

c) **Distributive**

d) Identity

a) **As x increases y decreases**

b) As x increases y increases

c) Both x and y have the same values

d) For all values of x, y = 2.

__3 x 4__ =6

2

6 = 6

6 + 6 = 12

6 + 6 + 6 = 18

6 + 6 + 6 + 6 = 24

6 + 6 + 6 + 6 + 6 = 30

- What number does the base-ten model represent if the flat is 1?
- The table below shows the number of hours of sleep a group of college students got the night before a math test and each student’s score on the test. What type of graph would best be used to represent the data? Draw the graph. What does the data suggest?
**Scatter plot 8 & 9 hrs. of sleep help best scores** - Adrian and Alice go to a snack bar at the beach. The snack bar sells 3 kinds of sandwiches (hamburgers, cheeseburgers, and hot dogs), 3 flavors of drinks (orange, cherry, and grape soda), and 2 different side orders (French fries and chips). If a meal form the snack bar consists of 1 sandwich, 1 drink, and 1 side order, how many different meals are possible?
**18** - Martha is making Chocolate-Oat-Chip Cookies. What is the ratio of the amount of flour to the amount of brown sugar?
**3:45** - If Martha has only ½ cup of Semi-Sweet Chocolate Morsels, about how many cookies can she make?
**¼ of 36 = 9 cookies** - Five friends went out to dinner. Beth got sick on something she ate. She had chicken, mashed potatoes, fruit salad, green beans, and chocolate ice cream. Mitzi and Jose did not get sick. They both had steak, French fries, green beans, and chocolate ice cream. Kitty and Anne also go sick on something they ate. Kitty had the chicken, French fries, green beans, and chocolate cake. Anne had the steak, mash potatoes, fruit salad, and chocolate ice cream. What strategies could be used to determine what caused three of the friends to get sick?
**Fruit Salad. Matrix, diagram, drawing** - All maple trees lose their leaves during the year. The tree in Henry’s front yard lost its leaves. Therefore, the tree in Henry’s yard is a maple tree. Is this argument valid or invalid? Why?
**Invalid. More than maple trees lose their leaves. A valid statement would be that Henry’s tree could be a maple.** - All pasta is delicious. If a food is delicious, then it is expensive. If a food is expensive, then it is found only in fine restaurants. Therefore, pasta is found only in fine restaurants. Is this argument valid or invalid? Why?
**Valid – given the premise of the argument.** - Old McDonald wants to fence in a 254 feet by 174 feet rectangular pasture for his horses. 26 feet of the enclosure is to be left open for a gate. Which of the following problem solving strategies could be used to determine how much fencing would be needed to enclose the pasture? Explain.
- In Mr. Johnson’s 4
^{th}grade class, all of the children play one or more of the sports golf, tennis, or baseball during the summer. 20 children play golf, 18 children play tennis, 22 children play baseball, 13 children play tennis and golf, 10 children play tennis and baseball, 9 children play golf and baseball, and 6 children play all three sports.**Draw a venn diagram to solve this** - Which of the following is a good story problem to illustrate what 4 ¼ ¸ ½ means?

2.34

Chocolate-Oat-Chip Cookies

Makes about 3 dozen

1 ¾ cups all-purpose flour

1 teaspoon baking soda

½ teaspoon salt (optional)

1 ¼ cups packed brown sugar

1 cup (2 sticks) butter

½ granulated sugar

2 large eggs

2 tablespoons milk

2 teaspoons vanilla extract

2 ½ cups quick or old-fashioned oats

2 cups (12-oz. pkg.) Semi-Sweet Chocolate Morsels

1 cup coarsely chopped nuts

a) **Draw a picture**

b) Guess and check

c) Write an equation

d) Look for a pattern

a) How many children are in Mr. Johnson’s class? **34**

b) How many children play only tennis?** 1**

c) How many children play basketball and tennis but not baseball? **7**

#1: A recipe class for 4 ¼ cups of milk. How much milk is needed for half a batch.

#2: Mary has 4 ¼ yards of material. If each apron takes ½ yard of material, how many aprons can she make?

#3: Jim needs 4 ¼ yards pounds of lentils. How many half-pound bags should he buy?

- #1 and #2
- #1 only
- #2 and #3
- #1, #2, and #3

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