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Laabri

2022: NY Grade 6 - Math

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Last updated 4 months ago
30 Nsɛmmisa
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1.

Which value of x makes the inequality true?

3x - 4 < 11

NY-6.EE.5
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NY-6.RP.3.a
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3.

The net of a rectangular prism is shown below. What is the surface area, in square centimeters, of the rectangular prism?

NY-6.G.4
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4.

Jake takes guitar lessons that cost $120.00 per month. Which equation can be used to determine the total number of dollars, d, that Jake pays for lessons for any number of months, m?

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6.

What is the value of the expression shown below when 𝑥 = 7 ?

3x^{2}-2x+3

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8.

A group of 10 Science Club students is on a field trip. That number of students represents 20% of the total number of students in the Science Club. What is the total number of students in the Science Club?

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11.

Ralph has 3/4 gallon of paint. He wants to store all of the paint equally among 5 containers. How much paint, in gallons, will Ralph store in each container?

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13.

A number line with points Q, R, S, and T is shown. What point represents -1/2?

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16.

There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?

NY-6.RP.3.a
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18.

Jasmine goes to the store to buy some fruit to make a fruit salad. The list below shows the amount and price of each type of fruit she buys.

  • 3 pounds of apples for $4.05

  • 2 pounds of grapes for $4.80

  • 5 pounds of oranges for $7.50

  • 3 pounds of peaches for $4.65

Which type of fruit costs $1.55 per pound?

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20.

A diagram of Joe’s living room wall with a geometric design is shown. Joe painted the shaded triangle on the living room wall.

What is the area, in square feet, of the shaded triangle that Joe painted?

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22.

Josh has c coins. Nick has 4 fewer than 3 times as many coins as Josh. Which expression can be used to show how many coins Nick has?

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23.

Two students, Student A and Student B, claim to know the correct representation of the expression \frac{9}{y}(3t).

  • Student A represents the expression as the product of 9 and y times the product of 3 and t.

  • Student B represents the expression as the quotient of 9 and y times the sum of 3 and t.

Both students' claims are incorrect. What makes each representation incorrect?

Explain your answer.

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24.
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27.

Two students evaluate the expression 17(4+15).

  • Student A evaluates the expression by adding the product of 17 and 4 to the product of 17 and 15.

  • Student B evaluates the expression by determining the product of 17 and 19.

Is each student’s evaluation correct or incorrect?

Explain your answer.

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28.
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30.
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2.

A farmer places beehives containing bees in her orchard to pollinate the plants. The table shows the ratio of the number of beehives to the number of acres in the orchard.

If the bees pollinate the plants at a constant rate, how many acres will be pollinated by the bees in 18 beehives?

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5.

Claire has 6 large envelopes and 11 small envelopes. What is the ratio of large envelopes to the total number of envelopes?

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7.

A partially shaded rectangle is shown.

What is the area, in square centimeters, of the shaded part of the rectangle?

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9.

Which value of x makes the equation true? 4x − 8 = 4

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10.

Employees at a construction company are building a fence around the perimeter of a work site. The perimeter of the work site is 1/4 mile. The cost of the fence is $20.00 per yard. What is the total cost of the fence needed for the perimeter of the work site?

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12.

A parallelogram is shown. What is the area, in square centimeters, of the parallelogram?

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14.

Ms. Wilson is buying packages of pencils. Each package costs $11.52 and contains 96 pencils. What is the unit price of a pencil?

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15.

Three vertices of a rectangle are located at (2, 4), (-2, -5), and (-2, 4) on a coordinate plane. What are the coordinates of the fourth vertex of the rectangle?

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17.

What is the surface area, in square inches, of the rectangular prism formed by folding the net below?

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19.

The outside temperature in a town is -20 degrees Fahrenheit. What change in temperature, in degrees Fahrenheit, would bring the outside temperature to 0 degrees Fahrenheit?

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21.

There was a total of 640 students at a school on Friday. Every student either walked or rode in a bus to the school. If 45% of the total number of students walked to the school on Friday, how many of the students rode in a bus to the school?