Grade 6 FAST Mathematics Practice Test

These questions are part of the practice quiz. Start practicing

• Find the area of a trapezoid with bases 6 cm and 8 cm and height 5 cm.
• Two perpendicular lines intersect. What is the measure of each angle formed?
• If two points on a vertical line have coordinates (7, 2) and (7, 9), what is the distance between them?
• What is the area of a triangle with base 7 and height 5?
• Which equation matches the statement: ‘A number increased by 6 equals 15’?
• A fair die is rolled. What is the probability of rolling a 6?
• Convert 7/20 to a decimal.
• What support is typically needed for students scoring at Level 2 or Level 1?
• Compute 12.6 + 3.75.
• How do you find the distance between two points on a coordinate plane with the same y-coordinate?
• Compute 6.4 + 2.06.
• Which statement is NOT a property of prime factorization?
• Convert 0.125 to a fraction.
• What is the mean of 12, 18, 24?
• What is the purpose of a two- or three-column table in ratio problems?
• Which activity helps practice substitution and order of operations in Algebraic Reasoning?
• The area of a circle with radius 3 cm is approximately what square centimeters? Use pi ≈ 3.14.
• Evaluate 2 × (3 + 4) − 5.
• The area of a rectangle with length 9 cm and width 4 cm is?
• What is the standard notation for a ratio?
• How is the surface area of a prism or pyramid found using a net?
• A composite figure consists of a rectangle 3 by 7 and a right triangle with base 3 and height 7 attached to one side. The total area is
• Area is measured in square units because
• What defines a statistical question?
• What is the definition of a rate in Grade 6 math?
• What tool is suggested for practicing one-step equations in Algebraic Reasoning?
• If a triangle has sides 6 cm, 8 cm, and 10 cm, what is the perimeter?
• If a student is identified at Level 1 or Level 2, what is the typical instructional implication?
• Two shapes can have the same area but different perimeters.
• What is a characteristic of Level 3 achievement level?
• What is the range of the numbers 4, 8, 15, 16, 23?
• A price increases from $40 to $52. What is the percent increase?
• What does the percentile rank represent on the student report?
• What is the volume of a rectangular prism with length 3 cm, width 2 cm, height 5 cm?
• Which value is larger: 3/5 or 4/7?
• Evaluate the expression 2(x - 3) + 4 when x = 5.
• The result of multiplying or dividing integers is determined by
• Which option lists the three standard forms used to express a positive rational number?
• What do the lines to the left and right of the black dot on the performance graph represent?
• Divide 7/8 by 1/2.
• What is 0.75 divided by 0.5?
• Round 7.6842 to the nearest hundredth.
• Which data display is best for showing the spread and central tendency of a small data set with potential outliers?
• What is the slope of the line through the points (0, 0) and (3, -3)?
• What is the absolute value of -9 on a number line?
• If the ratio of apples to oranges is 3:4 and you have 3 apples, how many total fruits are in the ratio?
• Point P is at (5, -3). If you move 2 units left and 4 units up, what are the new coordinates?
• One marble drawn from a bag with 3 red, 2 blue, and 5 green marbles. What is the probability the marble is red?
• Convert 0.6 to a fraction.
• Find the area of a triangle with base 6 cm and height 5 cm.
• In a quadrilateral, three angles measure 100°, 90°, and 110°. What is the measure of the fourth angle?
• What is the zero value's role in directed quantities on a number line?
• Find the median of the numbers 5, 7, 9, 11, 13.
• How are composite numbers typically expressed using prime factors?
• What decimal is 7/8?
• To find the area of a composite figure, you should:
• Which fraction equals the decimal 0.75?
• If 60 out of 150 students passed, what percent passed?
• Convert 2 liters to milliliters.
• What are the five components of a box plot?
• Find the area of a rectangle 8 units by 5 units.
• Solve the proportion: 5/12 = x/36. Find x.
• What do the four quadrants of a coordinate plane represent?
• Multiply 4.2 by 0.3.
• Is 15 prime?
• What is the slope of the line through the points (2, 3) and (5, 9)?
• Which statement accurately defines when two algebraic expressions are equivalent?
• What is the sign of the quotient when dividing a positive number by a negative number?
• Which four measures are commonly used to describe a data set's central tendency and spread?
• Convert 5 meters to centimeters.
• How are integers added and subtracted?
• Which unit rate problem yields a result of $3.00 per item?
• What is a statistical question?
• If a student scores 239, which achievement level have they reached?
• How is absolute value interpreted on a number line?
• If a train departs at 9:05 AM and arrives at 11:50 AM, how long is the trip?
• Find the greatest common factor of 18 and 24.
• Divide 7.2 by 0.3. What is the result?
• If a composite shape can be split into a rectangle and a triangle, the area is the sum of the areas of those shapes.
• Which is an example skill within the Algebraic Reasoning category?
• What is the purpose of the FAST Mathematics PM1 and PM2 assessments?
• How are algebraic expressions evaluated?
• Which statement best describes how the comparison averages are calculated?
• A bag contains 3 red, 2 blue, and 5 green balls. If you draw one ball, what is the probability it is blue?
• What is the method for solving one-step equations with addition and subtraction?
• Convert 0.375 to a fraction.
• In a box plot, which statistic represents the middle value of the data?
• A right triangle has legs of lengths 6 cm and 8 cm. What is its area?
• What is the median of the numbers 3, 7, 9, 2, 5?
• In a bag there are 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of drawing a red marble on one draw?
• What is the volume of a cube with side length 4?
• On a coordinate plane, point A is (3, -2). If you move 4 units to the right and 1 unit up, what are the new coordinates?
• What is the greatest common factor of 21 and 28?
• Which features describe the distribution of data in a histogram?
• If 2/3 cup of flour is used for 8 cookies, how much flour for 12 cookies?
• What identifies an axis as a line of reflection?
• The primary goal of using properties of operations in algebra is to
• Which statement best describes how to find the area of a composite shape?
• What is the product of -6 and -4?
• Which statement is true about Level 5 in the Grade 6 FAST Mathematics achievement levels?
• What is the probability of rolling a 6 on a fair die?
• What is an example skill within the Number Sense and Operations category?
• Area of triangle with base 8 cm and height 4 cm is?
• What is the slope of the line through (2, -3) and (2, 5)?
• What is the range of the numbers 10, 22, 16, 14?
• A class has 24 students, 9 of whom are girls. What percent are girls?
• A triangle has side lengths 3 cm, 4 cm, and 5 cm. Is it a right triangle?
• If 40% of a number is 20, what is the number?
• What is a practical way to practice fractions and decimals at home?
• Which statement best describes a Level 5 achievement level?
• What does a Level 3 achievement level indicate?
• What is the minimum score required to reach Level 3 (On Grade Level)?
• Find the perimeter of a triangle with sides 5 cm, 7 cm, and 9 cm.
• Solve for x: 3x = 18.
• Simplify the ratio 45:60.
• What is the product of any number and zero?
• How does adding more data to a data set impact statistical measures?
• A quadrilateral has three interior angles measuring 100, 110, and 90 degrees. What is the measure of the fourth angle?
• Perimeter of rectangle 5 by 7 cm is?
• What is 1/3 plus 3/5?
• If a bag contains 4 red, 6 blue, and 5 green marbles, what is the probability of drawing a green marble on one draw?
• Which statement is true about translating verbal descriptions into algebra?
• What is the primary function of the FAST Portal?
• Solve for x: 3x + 7 = 22.
• What is the perimeter of a rectangle with length 9 and width 4?
• What is 2/5 plus 1/3?
• What is the minimum score required to reach Level 5 (Exemplary)?
• Which of the following describes the least common multiple (LCM)?
• If a triangle is isosceles, what can be said about its base angles?
• What is the horizontal distance between the points (-4, 6) and (3, 6)?
• What is the mode of the data set 2, 5, 5, 7, 9, 5?
• Multiply 0.75 by 0.4. What is the product?
• What is the sum of the prime numbers less than 12?
• What is a real-world application for practicing Algebraic Reasoning?
• A train travels 150 miles in 3 hours. What is the speed in mph?
• Is a triangle with side lengths 2, 3, and 4 a right triangle?
• What is the volume of a rectangular prism with length 4, width 3, and height 5?
• Does a score below grade level on PM1 or PM2 mean a student will not succeed by the end of the year?
• Evaluate the expression 6 × (4 − 1) + 2.
• In a triangle, if two angles are 40 degrees and 70 degrees, what is the measure of the third angle?
• Simplify 24/36.
• Compute 3/5 + 2/5.
• A car travels 60 miles in 2 hours. What is the speed in mph?
• What is the prime factorization of 60?
• Is 29 a prime number?
• Find the mean of the numbers 4, 8, 12, 16.
• What is the distance between the points (1, 2) and (4, 6) on a coordinate plane?
• A recipe uses 3/4 cup sugar for 12 cookies. How much sugar for 18 cookies?
• What is the product of 4/9 and 3/5?
• The area of a parallelogram with base 7 cm and height 4 cm is?
• Simplify the expression 5y - 2y + 12.
• What is the formula for the volume of a right rectangular prism?
• What is the primary operation for computing products and quotients of positive fractions?
• What fraction is equivalent to the decimal 0.6?
• In the set of scores 92, 85, 92, 78, 85, which statement correctly describes the mean and the mode?
• What is the greatest common factor (GCF) of 8 and 12?
• Evaluate the expression 4 + 3 × (2 + 5).
• A composite figure combines a rectangle 6 by 2 with a right triangle base 6 and height 2. The total area is
• What is the perimeter of a rectangle with length 12 and width 7?
• Perimeter of a rectangle with length 8 cm and width 3 cm is?
• In a recipe that uses 4 parts flour and 5 parts sugar, if the total parts are 45, how many parts are flour?
• Subtract 4 1/6 minus 2 2/3. What is the difference?
• What is the area of a trapezoid with bases 6 and 4 and height 5?
• Within Geometric Reasoning, Data Analysis, and Probability, which is an example skill?
• A square has area 64 square centimeters. What is the side length?
• Solve for x: 5x = 25.
• Solve for x: 2x − 4 = 3x + 5.
• Find the area of a rectangle with length 9 units and width 4 units.
• A quadrilateral has interior angles measuring 120 degrees, 70 degrees, and 100 degrees. What is the measure of the fourth angle?
• Solve for x: 2x + 5 = 15.
• If a student scores 254, which level have they reached?
• What is the mean of the numbers 4, 8, 6, and 10?
• What does a Level 5 achievement level indicate?
• If a triangle has two angles measuring 50° and 60°, what is the measure of the third angle?
• Which fraction is equivalent to 9/12?
• On a number line, which statement best captures the idea of opposite numbers?
• Subtract 2 1/3 minus 5/6. What is the result in mixed-number form?
• Multiply 0.6 × 0.25.
• Which statement best describes percentile rank on the student report?
• From a bag with 4 red, 1 blue, and 5 green marbles, what is the probability of drawing a blue marble?
• What are the three reporting categories for the Grade 6 FAST Mathematics test?
• What is a net in geometry?
• Sum the prime numbers less than 10.
• In a triangle, if two angles are 50 degrees and 60 degrees, what is the third angle?
• Simplify the fraction 18/24.
• Which statement about rates is true?
• What is 0.75 as a fraction?
• What is 5/7 minus 2/7?
• What is the area of a triangle with base 10 and height 6?
• What is the distance between the points (0, 0) and (5, 12)?
• Which measure describes the spread of a data set?
• How do you find the distance between two points on a coordinate plane with the same x-coordinate?
• Convert 7/10 to a percent.
• What is the minimum score required to reach Level 4 (Proficient)?
• What are two examples of data displays mentioned for describing data?
• Solve for x: x + 7 = 15.
• When combining like terms, you should
• What is the distance between the points (1, 2) and (4, 6)?
• Multiply 2/3 by 3/4. What is the product?
• A car travels 60 miles in 1 hour. What is its speed in mph?
• What is the volume of a rectangular prism with length 6, width 2, and height 3?
• Convert 2/5 to both decimal and percent. Which pair is correct?
• If a triangle has two angles of 50 degrees and 60 degrees, what is the third angle?
• Compute the sum: 4 2/7 plus 3 5/7.
• What is the greatest common factor of 48 and 180?
• Solve 5x + 9 = 2x + 33.
• What is the least common multiple of 8 and 15?
• Add 1/3 and 2/5. What is the sum?
• Evaluate 2x + 5 when x = -3.
• Volume of a rectangular prism with length 4 cm, width 3 cm, height 2 cm is?
• A fair six-sided die is rolled. What is the probability of rolling an even number?
• What is the median of the numbers 1, 4, 2, 5, 3?
• What is the achievement level for a student who scores 216 on the Grade 6 FAST Mathematics test?
• What is the least common multiple of 9 and 12?
• What is a recommended practice for students needing help with Geometric Reasoning?
• What is the mode of the data set 1, 2, 2, 3, 3, 3, 4?
• Convert 0.625 to a fraction in simplest terms.
• If a data set gains new values, which statistics can change?
• Simplify the expression 3x + 5 - 2x + 4.
• What is 3/4 minus 1/6?
• Compute 2/8 + 1/4.
• What is 25% of 200?
• A movie starts at 6:15 PM and ends at 8:40 PM. How long is the movie?
• What are two common measures used to analyze sets of whole numbers?
• Solve for x: 2x + 4 = 12.
• At a constant speed of 60 mph, how many miles are traveled in 2 hours?
• In a recipe with 4 parts flour and 5 parts sugar, if you have 45 parts total, how many parts are sugar?
• How are the comparison averages in the report determined?
• Round 12.346 to the nearest tenth.
• What is the distance between the points (0, 0) and (0, 5) on a coordinate plane?
• How is the area of a right triangle derived?
• What is the slope of the line through (0, 0) and (3, 6)?
• If the ratio of boys to girls is 2:5 and there are 25 girls, how many boys are there?
• Which option is NOT a valid method for finding the area of a composite shape?
• Add 3/4 and 5/6. What is the sum in mixed-number form?
• Which practice is recommended for students needing help with Number Sense and Operations?
• How are written descriptions translated into algebra?
• Simplify 40/100.
• Add 2 1/3 and 1 2/5.
• Which statement about unit rates is true?