Mathematics Practice Exercises for Grade 6 Students

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Explore different mathematical practice exercises for Grade 6 students focusing on ratios, equivalencies, and number line representations. Enhance your skills in writing ratios, identifying equivalent ratios, and working with decimals and fractions.

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Using Student Performance Analysis Using Grade 6 Mathematics Standards of Learning

Practice for SOL 6.1 a) Write the ratio of 6 shirts to 5 pants using two different notations. b) Represent the ratio of shirts to pants using numbers other than 6 and 5.

Practice for SOL 6.1 A box contains red marbles and blue marbles. The ratio of red marbles to blue marbles in the box is 8 to 3. Select each statement that could represent the number of red marbles and blue marbles in this box. There are exactly 3 red marbles and 8 blue marbles in the box. There are exactly 64 red marbles and 24 blue marbles in the box. There are exactly 18 red marbles and 13 blue marbles in the box. There are exactly 48 red marbles and 18 blue marbles in the box.

Practice for SOL 6.1 A board contains stars and triangles. The ratio of triangles to stars is 3 to 1. Select each picture that could represent the number of stars and triangles on this board.

Practice for SOL 6.1 Identify each picture that has a ratio of 2:3 for the number of triangles to the number of circles.

Practice for SOL 6.2 a) Which ratio is equivalent to 4.2 4.2? a) b) c) d) b) What ratio is equivalent to 0.3% 0.3% ?

Practice for SOL 6.2 Which number could represent point K? K 1 0 a) b) c) d)

Practice for SOL 6.2 Select all of the given numbers that lie between 0.01 and 0.10 on the number line. 0.01 0.10 0.015 0.31 0.023 0.002 0.004 0.50 0.049 0.205

Practice for SOL 6.2a Which number is equivalent to the ratio ? A C B D

Practice for SOL 6.2c Which statement is true? A C B D

Practice for SOL 6.2b This model is shaded to represent one whole. Write a fraction, decimal, and percent to represent the shaded part of each model.

Practice for SOL 6.2c Identify each statement that is true.

Practice for SOL 6.3 Identify each number that is an integer.

Practice for SOL 6.4 Which product is represented by the shading of the model? a) c) ? ? ? b) d) ?

Practice for SOL 6.4 This figure represents one whole divided into five equal parts. ? ? Exactly how many are in 7 ?

Practice for SOL 6.6a What is the product of and in simplest form?

Practice for SOL 6.6b The length of a rope is feet. James cut feet from this length of rope to use on a project. Exactly what length of rope remained unused?

Practice for SOL 6.6b Each cup of milk has 4 grams of protein. Exactly how many grams of protein are in cups of milk? A 7 grams B 8 grams C 14 grams D 28 grams

Practice for SOL 6.6b Jill had 3 full pans of brownies. Each pan was the same size. She gave of the original amount of brownies to her friends. She gave of the original amount of brownies to her teacher. Exactly how many pans of brownies does Jill have left over?

Practice for SOL 6.6b Kendra recorded the amount of water she used in one week for four activities. Doing Laundry 1. What is the total amount of water, in gallons, recorded for these activities? Activity Amount of Water (in gallons) Bathing 2. How much more water was used doing laundry than cooking? Washing Car Cooking

Practice for SOL 6.7 Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?

Practice for SOL 6.10 a) Clinton purchased a circular rug to cover part of a floor. The diameter of the rug is 8 feet. Rounded to the nearest whole number, what area of the floor will the rug cover? b) A circular pool has a radius of 12 feet. What is the approximate distance around the pool, rounded to the nearest foot? c) Dana has a rectangular garden that she wishes to fence in. If the dimensions of the garden are 15 feet by 13 feet, what is the minimum amount of fencing that she needs to enclose her garden?

Practice for SOL 6.10b Leo is designing a circular table top with a diameter of 10 feet. 1. Which is closest to the circumference of this table top? top? 2. Which is closest to the area of this table a) 314.2 feet b) 78.5 square feet c) 31.4 feet d) 15.7 square feet a) 314.2 feet b) 78.5 square feet c) 31.4 feet d) 15.7 square feet

Practice for SOL 6.10b A circular plate has a diameter of 11 the area of this plate? 11 inches. Which is closest to A 17.3 17.3 square inches B 34.6 34.6 square inches C 95.0 95.0 square inches D 380.1 380.1 square inches

Practice for SOL 6.10c This triangle represents a section of a garden. (Figure is not drawn to scale.) 13.3 m 5 m 3 m 4 m 13 m What are the area and perimeter of the garden?

Practice for SOL 6.11 1) Identify the location of the point (10,0). a) In Quadrant I b) In Quadrant III c) On the x-axis d) On the y-axis 2) Select the two points that are located on the y-axis. (0,0) (0,1) (1,1) (-1,-1) (1,0)

Practice for SOL 6.13 a) Name each figure using the given attributes with its most precise name. b) What term most accurately classifies all of these figures? c) What term most accurately classifies figures 1, 3, 4, and 6? d) What term most accurately classifies figures 1 and 3? 4 5 6 1 2 3 Each angle is 90 Each angle is 90

Practice for SOL 6.13 Create a list of angle measures that could represent the four angle measures of a quadrilateral. , , ,

Practice for SOL 6.14b A car salesman sold 40 cars last month. The circle graph shows the results of his sales by car color. represents exactly 10 cars. 1. Identify the car color that most likely Car Sales combined total of 25 cars. Green 2. Identify two car colors that most likely represent a Purple Blue Red Green Blue Purple Red

Practice for SOL 6.14b Mr. Walker surveyed 24 students. He asked each student to rate a television show. The results are shown in this circle graph. Rating of Television Show Which fraction of the students best represents those who rated the show as Above Average? A B C D

Practice for SOL 6.14c Bob asked a group of people to identify their favorite vegetable. The circle graph shows the results. Which graph on the next slide could represent the same data? Favorite Vegetable Asparagus Broccoli Corn Corn Beans Carrots Carrots Broccoli Beans Asparagus

Practice for SOL 6.14c Favorite Vegetable Asparagus Broccoli Corn Corn Beans Carrots Carrots Broccoli Beans Asparagus Which bar graph could represent the same data?

Practice for SOL 6.14c Twelve students answered a question that had answer choices labeled as A, B, C, and D. This circle graph represents the answer choices selected by the 12 students. Answer Choices Selected C A B D *The accompanying question is shown on the next screen.

Practice for SOL 6.14c Which of these represents the data shown in the circle graph? A C Answer Choices Selected Answer Choices Selected B D Answer Choices Selected Answer Choices Selected

Practice for SOL 6.15 This line plot shows the number of books that a group of students have read. Use this data to determine where on the line plot the mean will appear. x

Practice for SOL 6.15a Jill recorded the number of pull-ups each of ten students did on this line plot. What is the balance point for this data? X Pull-Ups X X X X X X X X X 1 2 3 4 5 6 7 8 9 Number of Pull-Ups Each X represents 1 student.

Practice for SOL 6.15 This data shows the ages of members of a youth book club and the age of the facilitator. 11 12 13 14 15 16 17 57 What is the most appropriate measure of center for this data?

Practice for SOL 6.15b Andy surveyed his friends to determine the number of books each of them read in February. These are the results of the survey. 3, 2, 3, 19, 2, 1, 2, 2, 2, 2 1. What is the mean for this data set? 2. What is the median for this data set? 3. Is the mean or median a more appropriate measure of center to use for this data? Why?

Practice for SOL 6.15b The number of cookies that were made at a bakery for each of seven days is shown: 108, 96, 96, 84, 108, 240, and 84 The best measure of center for this data set is the- A. mean because all of the values are close to one another in value B. median because all of the values are close to one another in value C. mean because 240 is much higher than the other numbers in the data set D. median because 240 is much higher than the other numbers in the data set

Practice for SOL 6.16 This chart shows the three pairs of pants and four shirts that Bobby packed for a trip. Bobby will randomly select an outfit to wear. He can choose one pair of pants and one shirt. Using the chart, determine the probability that he will select a pair of blue jeans and the yellow shirt. Pants Shirt Color Blue Jeans Orange Blue Jeans Yellow Khakis Green Red

Practice for SOL 6.16 Alexis has a deck of cards labeled as follows: 3 cards with a heart 2 cards with a circle 1 card with a flower 1 card with a ball a) What is the probability that she will randomly select a card with a heart, replace it, and then select a card with a ball? b) What is the probability that she will randomly select a card with a circle, NOT replace it, and then select a card with a circle?

Practice for SOL 6.16b There are 6 6classic rock CD s, 2 2jazz CD s, and 5 5country CD s in a bin. Teagan will randomly select a CD, give it to her brother, and then randomly select another CD. Which of these can be used to find the probability that Teagan will select a jazz CD as her first selection and a country CD as her second selection? A. C. B. D.

Practice for SOL 6.16b This table shows the drink and dessert selections at a party. Drink Dessert Apple Juice Chocolate Cake Orange Juice Apple Pie Cola Water Kayla will randomly select one drink and one dessert from these lists. What is the probability that Kayla will select water and apple pie? A. C. B. D.

Practice for SOL 6.17 This circle pattern represents terms in a sequence. 1st term 4th term 2nd term 3rd term a) What is the numerical value for each term in the sequence? b) What rule is applied from one set of circles to the next? c) Is this sequence arithmetic or geometric? How many circles would be in the 6th term of this sequence? d)

Practice for SOL 6.17 1. What is the common ratio of this sequence? 5, 25, 125, 625, 3125, . . . 2. What is the common ratio of this sequence? 3125, 625, 125, 25, 5, . . . 3. What is the common difference of this sequence? 55, 58, 61, 64, 67, . . . 4. What is the common difference of this sequence? 67, 64, 61, 58, 55, . . .

Practice for SOL 6.17 Look at this sequence. 108, 112, 116, 120, . . . a) Does this sequence have a common difference or a common ratio? b) What is it? c) What is the 8th term of this sequence?