7th Grade Math Diagnostic Quiz

7th Grade Math Test

7th Grade Math Test

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Category: 7-The Number System

A pile of newspapers in Ms. McGrath’s art class was 17 3⁄4 inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increased by 8 7⁄12 inches. What was the height, in inches, of the pile after 3 weeks?

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Category: 7-Expressions & Equations

Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If Salid paid with a $100.00 bill, how much change should he have received?

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Category: 7-Statistics & Probability

Sara is playing a board game. The probability that Sara will score a point on her next turn is 1⁄3 . Which statement describes the probability that Sara will score a point on her next turn?

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Category: 7-Ratios & Proportional Relationships

A rhombus with side length s is shown below.
The perimeter, p, of a rhombus is proportional to the length of each side, s. Which equation represents this relationship?

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Category: 7-Expressions & Equations

Which expression is equivalent to 8c + 6 - 3c - 2?

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Category: 7-Statistics & Probability

Malika and Adrian prepared containers of potato salad at a deli. Each container was supposed to have a mass of one pound. The manager selected a random sample of containers prepared by each employee to check the mass of each container. The results are shown in the table below.
Which inference is best supported by these data?

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Category: 7-Expressions & Equations

Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday. What is the least number of deliveries he must make to reach his goal?

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Category: 7-The Number System

 

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Category: 7-Expressions & Equations

Which expression represents a factorization of 32m + 56m?

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Category: 7-Ratios & Proportional Relationships

A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction price. The salesperson received a commission of 25% of the difference between the auction price and the dealership price. What was the salesperson’s commission?

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Category: 7-Geometry

The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth’s Moon is 1,737.5 kilometers. What is the approximate difference in the mean circumferences, in kilometers, of Earth and Earth’s Moon? Round your answer to the nearest tenth of a kilometer.

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Category: 7-The Number System

Travis, Jessica, and Robin are collecting donations for the school band. Travis wants to collect 20% more than Jessica, and Robin wants to collect 35% more than Travis. If the students meet their goals and Travis collects $43, how much money did they collect in all?

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Category: 7-Ratios & Proportional Relationships

Each sales associate at an electronics store has a choice of the two salary options shown below.
  • $115 per week plus 9.5% commission on the associate’s total sales
  • $450 per week with no commission
The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year)

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Category: 7-Geometry

What is the radius, in centimeters, of a circle that has a circumference of 16π centimeters?

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Category: 7-Statistics & Probability

The school bus Evie rides is scheduled to arrive at her stop at 8:20 a.m. each day. The table below shows the actual arrival times of the bus for several days that were randomly selected over the past few months.
Based on these data, what is the probability that the bus will arrive at Evie’s stop before 8:20 a.m. tomorrow?

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Category: 7-The Number System

What is the value of

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Category: 7-Ratios & Proportional Relationships

Gary buys a 3 1/2-pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day. Which expression can Gary use to determine the number of pounds of cat food his cat eats each year? (1 year = 52 weeks)

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Category: 7-The Number System

What is the decimal equivalent of 7⁄8 ?

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Category: 7-The Number System

What is the product of

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Category: 7-Ratios & Proportional Relationships

During a sale, a store offered a 40% discount on a particular camera that was originally priced at $450. After the sale, the discounted price of the camera was increased by 40%. What was the price of the camera after this increase?

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Category: 7-Ratios & Proportional Relationships

A recipe requires 1⁄3 cup of milk for each 1⁄4 cup of water. How many cups of water are needed for each cup of milk?

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Category: 7-The Number System

Evaluate.

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Category: 7-Ratios & Proportional Relationships

The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus.
What point on the graph represents the unit rate?

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Category: 7-Expressions & Equations

The three steps shown below were used to find an expression equivalent to 2⁄5 (15x - 30y ) + 10y
Step 1: ?
Step 2: 16x - 12y
Step 3: 4(4x - 3y)
Which expression could be used as Step 1?

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Category: 7-Statistics & Probability

A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below

Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring?

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Category: 7-The Number System

Altitude above sea level is given in positive values and below sea level is given in negative values. Which situation describes a hiker in Death Valley stopping at an altitude of 0 feet?

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Category: 7-The Number System

Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight?

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Category: 7-Expressions & Equations

Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of games Craig could have played?

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Category: 7-The Number System

The temperature at 6 p.m. was 16°F, which was 9°F lower than the temperature at noon. What was the temperature at noon?

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Category: 7-The Number System

Dan’s Sporting Goods received a shipment of 120 sweatshirts.
• Half of the sweatshirts were size large.
• One-fourth of the large sweatshirts were red.
What was the total number of sweatshirts in the shipment that were both size large and red?

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