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- A chemical decays in such a way that the amount left at the end of each week is 20% less than the amount at…
- A circle has a radius of 5 inches. What is the area of the circle in terms of π? Use π to express your…
- A pizza shop offers a choice of 3 sizes (small, medium, and large) and 7 different toppings. Different pizzas can be created by changing…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
- Amiya subscribes to an online streaming service. She pays a onetime setup fee of $50, plus $20 per month for service. Write an equation…
- Type Linear equations
- NYS standards 7.EE.4, 6.EE.9
- Difficulty 2 of 5
- Format Equation editor
- What is the prime factorization of 756?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- A person buys a used car with a down payment of $1,200 and makes monthly payments of $275 for 3 years. What is the…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
- In the parallelogram above, what is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
- In the figure above, n p. Straight line m intersects both line n and line p. What is the value of r?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 4 of 5
- Level Above grade 7
- A spinner has 5 congruent sections labeled as shown. One side of a fair coin is heads, and the other side is tails. The…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.6
- Difficulty 3 of 5
- Format Number line
- A grocery store sells 1-gallon containers of milk for $3.99. The store also sells orange juice in a 6-pack of 5.5-fluid-ounce bottles for $1.79.…
- Type Proportions and scale, Unit conversion
- NYS standards 7.RP.3, 6.RP.3d
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- What is the distance between the midpoints of MN and RS?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- In a fruit basket, the ratio of apples to oranges is the same as the ratio of cherries to walnuts. If there are 6…
- In a showing of an artist’s works, the ratio of the number of paintings, drawings, and photographs shown is 3:5:4, respectively. If the number…
- The box plot shows the average monthly high temperatures in New York City for 12 months. What is the difference between the range and…
- Type Mean, median, mode and range, Tables, charts and graphs
- NYS standards 7.SP.1, 6.SP.5c
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- A bag contains 40 tiles that are either red, green, or blue. A tile is selected at random, the color is recorded, and the…
- Type Probability
- NYS standards 6.SP.7, 6.RP.3
- Difficulty 2 of 5
- If 4(a + 2b) = 28b + 2a, what is the value of a in terms of b? Enter your answer in the space…
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- Format Equation editor
- What is the prime factorization of 3,575?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- In a school raffle, 1 out of every 25 students wins a prize. Each prize includes a randomly selected trading card from a set…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8a
- Difficulty 2 of 5
- Format Equation editor
- A middle school library has a shelf with 40 books, each labeled with a different number from 201 to 240. One book is selected…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
- 1/11 + 1/22 + 1/33 What is the value of the expression shown above?
- Type Fractions and decimals
- NYS standards 7.NS.1d, 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
- A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A…
- Which situation involves quantities that combine to equal zero?
- Type Arithmetic and order of operations
- NYS standards 7.NS.1a, 6.NS.5
- Difficulty 1 of 5
- Level Below grade 7
- A birdseed mixture is 2/5 sunflower seeds. The cost of the sunflower seeds is $0.10 per ounce. At this rate, what is the cost…
- Type Unit conversion, Ratios
- NYS standards 7.RP.3, 6.RP.3d
- Difficulty 3 of 5
- Karl has one red spinner and one blue spinner. Each spinner is divided into 4 equal sections, numbered 1 through 4. He spins each…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
- A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on this car, what is…
- XYZ Corporation hired 6 people as summer workers. Of these 6 people, 3 will be hired as permanent employees in the fall. If 2…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
- Leah has set a goal to read a total of 500 pages of a textbook. The table shows the book page numbers for the…
- Type Percents, Number properties
- NYS standards 7.RP.3, 6.RP.3c
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- What 3-digit number between 630 and 650 is divisible by both 5 and 8? Enter your answer in the space.
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 1 of 5
- Level Below grade 7
- Format Grid-in
- A bakery charges $1.25 for each cupcake and $2.50 for a serving tray. The equation describes p, the price of c cupcakes and a…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 2 of 5
- Marcus and Isla are saving money to buy concert tickets. They decide to save the same amount each week. They already have $8 saved.…
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- A company charges $3.00 to ship a 4-pound package. The cost includes a base fee of $1.50 plus $0.50 for each pound over the…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.9
- Difficulty 3 of 5
- Format Fill the blanks
- Anise has a piece of cloth measuring 45 inches by 75 inches. She wants to cut it into squares of equal size, without any…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
- Mr. Chan’s lawn grows 2 1/8 inches every 2 weeks. He mows his lawn every 2 weeks and cuts off the top 1 3/4…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
- Format Grid-in
- Mr. Jones has 550 goats, which is 10% more than Mr. King has. How many more goats does Mr. Jones have than Mr. King?
- If 2y/x – y/2x = /2x and x ≠ 0, what expression is represented by?
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 2 of 5
- In the figure above, PQRS is a square. Point S is the center of the circle, and points P and R are on the…
- Jar 1 and Jar 2 each contain 1/2 cup of water. If 1/4 of the water in Jar 1 is poured into Jar 2,…
- Type Fractions and decimals
- NYS standards 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- Each number in a sequence is formed by doubling the previous number and then adding 1. If the 9th number in the sequence is…
- Type Patterns and sequences
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 4 of 5
- Level Above grade 7
- What is the area, in square units, of the shaded region shown in the figure above?
- Type Area and perimeter, Coordinate plane
- NYS standards 6.G.1, 6.G.3
- Difficulty 2 of 5
- In the figure above, N is the midpoint of MQ. Which segment has length (2x – y) centimeters?
- Type Number line and absolute value, Algebraic expressions
- NYS standards 7.EE.2, 6.EE.6
- Difficulty 3 of 5
- Level Above grade 7
- In a certain state, the sales tax rate increased from 7.0% to 7.5%. What was the increase in the sales tax on a $200…
- On the number line above, the distance between X and Y is 1 unit, and the distance between Y and Z is 2 units.…
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- Level Below grade 7
- A tank with a 500-gallon capacity currently contains 75 gallons of water. Additional water is poured into this tank at a rate of 5…
- Misha wants to use ribbon to make 2 straps for a backpack. The ribbon costs $5.00 a yard. If each strap requires 1 1/4…
- Type Fractions and decimals
- NYS standards 6.RP.3b, 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
- Carlos has $350 in a savings account that earns 5% simple interest each year. How much will he have in the account after 1…
- The table below shows the number of cups of red paint and blue paint used to make a purple paint mixture. PURPLE PAINT Cups…
- Type Proportions and scale
- NYS standards 7.RP.2b, 6.RP.3a
- Difficulty 1 of 5
- Level Below grade 7
- On the number line above, what is the distance, in units, between the midpoint of PQ and the midpoint of QR?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- 3/5(2x+5)-2x After the expression above is simplified, what is the coefficient of x, expressed as a decimal?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2b
- Difficulty 2 of 5
- Format Grid-in
- The figure above shows a scale drawing of a garden, where 1 centimeter represents 2.5 meters. What is the perimeter of the actual garden…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 6.NS.3
- Difficulty 3 of 5
- Format Grid-in
- At one location, the temperature increased from −7° F to 4° F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was…
- Type Arithmetic and order of operations
- NYS standards 7.NS.3, 7.NS.1c
- Difficulty 3 of 5
- Format Grid-in
- The figure below is a triangular prism. The lateral sides are rectangles. What is the volume of the figure, in cubic inches?
- Type Volume and surface area
- NYS standards 7.G.6
- Difficulty 2 of 5
- Format Grid-in
- Karen reads at the rate of 60 pages per day. Martina reads 25% more pages per day than Karen. If the two students begin…
- Type Rates and speed, Percents
- NYS standards 7.RP.3, 6.RP.3b
- Difficulty 4 of 5
- Level Above grade 7
- What is the value of (1 5/7-1 6/7)(3 4/7-3 6/7)?
- Type Fractions and decimals
- NYS standards 7.NS.2b, 7.NS.1c
- Difficulty 3 of 5
- If 1 sind = 0.75 plunk, how many sinds are equivalent to 8 plunks, rounded to the nearest hundredth?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 3 of 5
- If y=4x, what is the value of 3y+2(3y+5)-x in terms of x?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2c
- Difficulty 2 of 5
- If x=-4, what is the sum of x and 10% of |x|?
- Type Percents, Number line and absolute value
- NYS standards 7.NS.1b, 6.NS.7c, 6.RP.3c
- Difficulty 2 of 5
- The integers (n-1), n, and (n+1) are factors of 168. What is the greatest possible value of n?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- What is the total surface area, in square centimeters, of the closed box shown above?
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4
- Difficulty 2 of 5
- A community garden had 50 members in 2001. In each of the next three years, the number of members increased by 40% over the…
- The least positive integer evenly divisible by the first 6 positive integers is 60. What is the least positive integer evenly divisible by the…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
- Triangle MNP is similar to triangle XYZ, and MN=NP. What is the perimeter of triangle MNP?
- Type Triangles and the Pythagorean theorem
- NYS standards 8.G.4, 7.G.1
- Difficulty 3 of 5
- Level Above grade 7
- Chris has 1 red shirt, 2 white shirts, and 3 black shirts. Chris picks a shirt at random. Without putting the first shirt back,…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
- Level Above grade 7
- Five numbered balls are placed in two boxes as shown in the figure above. Davina picks one ball at random from Box B and…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 5 of 5
- Level Above grade 7
- In the figure above, PQRS is a parallelogram. What is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if…
- For what value of w is 4w=2w-8?
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 1 of 5
- Format Grid-in
- The set of possible values of m is { 5,7,9 }. What is the set of possible values of k if 2k=m+3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.5
- Difficulty 2 of 5
- Which number line below shows the solution to the inequality -4< x/2< 2?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- A box of colored pencils contains exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 2 of 5
- In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are…
- Type Counting and arrangements, Percents
- NYS standards 7.SP.8b, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
- Mrs. Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items,…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 2 of 5
- 1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harps A nation has five…
- Type Unit conversion
- NYS standards 6.RP.1, 6.RP.3d
- Difficulty 3 of 5
- The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is…
- A car is traveling 55 miles per hour, and 1 mile = 5,280 feet. Which of the following calculations would give the car’s speed…
- Type Unit conversion
- NYS standards 6.RP.3d, 6.RP.3b
- Difficulty 2 of 5
- Johan leased a car for three years. He paid a one-time fee of $1,000, and an additional $300 per month for the full three…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
- The graph above shows the number of schools per city for five small cities. Cities M and N each have 500 students per school.…
- Type Tables, charts and graphs
- NYS standards 6.RP.3b, 6.SP.5
- Difficulty 2 of 5
- Level Below grade 7
- w/x=y/z In the equation above, w,x,y, and z are positive numbers. Which of these is equal to z?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.7
- Difficulty 2 of 5
- Level Above grade 7
- On the number line above, points W, X, Y, and Z are integers, and WX:XY:YZ = 4:2:3. What is the value of WY?
- Type Ratios, Number line and absolute value
- NYS standards 7.RP.3, 7.NS.1c
- Difficulty 4 of 5
- Level Above grade 7
- A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is…
- Each week, Leon has fixed expenses of $1,250 at his furniture shop. It costs him $150 to make a chair in his shop, and…
- Type Arithmetic and order of operations
- NYS standards 7.EE.3, 6.EE.2c
- Difficulty 3 of 5
- On the number line above, JK=3 1/2, JM=9 3/4, and LM=1 1/8. What is the position of point L?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 7.NS.1b
- Difficulty 5 of 5
- Level Above grade 7
- A paste used to cover a billboard is made by mixing the following ingredients by weight: 4 parts powder, 3 parts water, 2 parts…
- Four straight lines intersect at point P as shown above. What is the value of y?
- Type Angles and lines
- NYS standards 7.G.5
- Difficulty 3 of 5
- Format Grid-in
- M=3N=P/4=Q+5=R/7> 0 Based on the statement above, which variable has the greatest value?
- Type Linear equations
- NYS standards 7.EE.2, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
- A bag contains 75 marbles that are red, blue, or green. The ratio of red to blue marbles is 15:7, and the ratio of…
- What is the least common multiple of 24, 6, and 18?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
- PRICES FOR NEWSPAPER ADVERTISING Page Space Price 1/4 page $200 1/2 page $350 full page $600 The table above shows prices for newspaper advertising.…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
- How many positive odd numbers satisfy the inequality 3x+8≤ 92?
- Type Inequalities, Number properties
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 3 of 5
- If 36/y=4x, what is the value of x when y=3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.2c
- Difficulty 1 of 5
- Level Below grade 7
- Points X, Y, and Z are on a straight line, and Y is between X and Z. Length YZ=3/5XY, and length XY=20 centimeters. What…
- Type Number line and absolute value
- NYS standards 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- Nicole’s age now is three times Carmen’s age. If Carmen will be 17 in two years, how old was Nicole 5 years ago?
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 2 of 5
- A chemical decays in such a way that the amount left at the end of each week is 20% less than the amount at…
- Three students stand at the starting line of a running track and begin running laps at the same time. Ann completes 1 lap every…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
- Simplify this expression: 4(7-3x)-(5-x)
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 2 of 5
- The Chens spend $5 of every $8 they earn on planned expenses. If the family earns $29,600 in one year, how much will they…
- A pizza shop offers a choice of 3 sizes (small, medium, and large) and 7 different toppings. Different pizzas can be created by changing…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
- A wooden box has a square base. The height of this box is 3 times the length of one side of the base. If…
- Type Volume and surface area
- NYS standards 6.G.2
- Difficulty 1 of 5
- Level Below grade 7
- There are 1,000 cubic centimeters in 1 liter, and 1,000 cubic millimeters in 1 milliliter. How many cubic millimeters are there in 1,000 cubic…
- Type Unit conversion
- NYS standards 6.RP.3d
- Difficulty 4 of 5
- Level Above grade 7
- The hash marks on the number line above are evenly spaced. What is the coordinate of point R?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 6.NS.6c, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
- The decimal 0.06 can be written as the fraction x/50. What is the value of x?
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
- What is the area of the shaded triangle shown above?
- Type Area and perimeter
- NYS standards 6.G.1, 6.EE.2a
- Difficulty 3 of 5
- Which number line below shows the solution set for 2x-2≤ y≤ 4x+10 when y=1?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 4 of 5
- Level Above grade 7
- 14/21=p/7 In the equation above, what is the value of p?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below grade 7
- At North High School, a survey asked two questions, Question A and Question B. For each question, students could answer either “yes” or “no.”…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 7.EE.4
- Difficulty 5 of 5
- Level Above grade 7
- There are now x cans stacked on a shelf that holds 36 cans when full. If 4 of these cans were removed, the shelf…
- Type Linear equations
- NYS standards 6.EE.7
- Difficulty 1 of 5
- Level Below grade 7
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