9th Grade SAT Math Diagnostic Quiz <- 9th Grade SAT Math Diagnostic 9th Grade SAT Math Diagnostic Share Quiz Get Embed Code Copy the code below to embed this quiz on your website: <iframe src="https://tutorone.ca/practice-test/?embed=true" width="100%" height="800" style="border: none; max-width: 100%;" data-source="tutorone" allowfullscreen></iframe> Copy Code 12345678910111213141516171819202122 9th Grade SAT Math Diagnostic 1 / 22 Order the values so that the values in the boxes are in order from least to greatest. -20%, -1/2, 0.4, 60%, 4/3 0.4, -20%, -1/2, 4/3, 60% -1/2, -20%, 0.4, 60%, 4/3 -20%, -1/2, 60%, 4/3, 0.4 2 / 22 A pet goat eats 3 pounds of oats and 2 pounds of grass each day. When the goat has eaten a total of 30 pounds, how many pounds of grass has been eaten? 6 8 10 12 60 Let \( o \) represent the amount of oats eaten and \( g \) the amount of grass eaten. Since 1.5 times as many pounds of oats are eaten as grass, we have \( o = frac{3}{2} g \). The total amount eaten is \( o + g = 30 \). Substituting the value of \( o \) into the equation gives \( frac{3}{2} g + g = 30 \), so \( frac{5}{2} g = 30 \), and \( g = 12 \). 3 / 22 In a line segment \(AD = 110\), and the distances \(AB = CD\), where \(AB\) is twice the distance of \(BC\), how far apart are points B and D? 11 30 44 66 Let \(BC = x\), then \(AB = 2x\), and since \(AB = CD\), we also have \(CD = 2x\). The total length of \(AD\) is: \( AD = AB + BC + CD = 2x + x + 2x = 5x = 110 \). Solving for \(x\), we get \(x = 22\). Therefore, the distance between points B and D is: \( BD = BC + CD = x + 2x = 3x = 66 \). 4 / 22 Which of the following can be expressed as \( (J + 5) \times 3 \), where \( J \) is a whole number? 52 64 73 81 The question asks which choice can be written as \( (J + 5) times 3 \). Since 3 is a factor of the expression, the answer must be a multiple of 3. The sum of the digits of 81 is 9, which is a multiple of 3. Therefore, (E) is correct. 5 / 22 Kyle would like to give a sample of students at school a survey about their favourite meals. Which method should Kyle use to ensure a random sample that best represents all of the students at the school? Kyle should select a few of his close friends to complete the survey Kyle should ask a teacher to choose 5 students from one of the teacher's classes to complete the survey Kyle should place 9 surverys at the entrance of the school and wait for students to complete them Kyle should select 4 students from every first period class to complete the survey 6 / 22 \( \frac{1}{5} + \frac{2}{7} + \frac{3}{4} - \frac{1}{5} - \frac{1}{7} + \frac{1}{4} - \frac{1}{7} \) \( \frac{1}{2}\) \( \frac{2}{3}\) 1 2 Simplify the expression step by step. Group terms with the same denominators: \( (frac{1}{5} - frac{1}{5}) + (frac{2}{7} - frac{1}{7} - frac{1}{7}) + (frac{3}{4} + frac{1}{4}) \) simplifies to: \( 0 + 0 + 1 = 1 \). 7 / 22 Tatum and Riley are both running along the same path. This graph represents their distances from the school, D, in kilometres, and their time spent running, t, in minutes. After how many minutes of running will Tatum and Riley be the same distance from the school? 3 6 20 30 8 / 22 This equation represents the relationship between the distance a train travels, D, in kilometres, and time, t, in hours. D=120t The train needs to travel 450 km. What distance remains for the train to travel after 3 hours and 15 minutes? 60 72 378 390 9 / 22 What is the value of x? 50 15 20 40 10 / 22 Which TWO points can be found in the region defined by xy < -3 -1,3 1,5 2,-1 -1,4 11 / 22 A cricket is a type of insect that chirps. This graph shows information about the relationship between the number of cricket chirps per second and various temperatures in degrees Celsius. Which statement about the overall trend in the relationship is true? The number of times a cricket chirps per second... increases as the temperature increases. increases as the temperature decreases decreases as teh temperature increases stays the same as the temperatuer increases 12 / 22 Yelana creates this budget for the coming month. Which of these changes will make Yelana's expenses equal to her earnings for this month? spend only $50 on entertainment, and increase her earnings from tutoring to $90 spend only $80 on transportation, and increase her earnings from tutoring to $80 spend only $115 on art classes, and increase her earnings at the coffee shop to $240 spend only $30 on entertainment, and increase her earnings at the coffee shop to $220 13 / 22 A kite is stuck at the top of a tree. The length of the string, which is attached to the kite and touches the ground, is 5 m. Note: 1 m = 3.28 ft What is the height of the tree? 1 m 3 m 6 m 9 m 14 / 22 The total cost of a bracelet, C, in dollars, is made up of a cost for the string and a cost per bead, n. Information about this linear relation is shown on the graph. Which option shows only information about this linear relation? Neither option is correct C = 2.5 + n C = 3 + 0.5n C = 4 + 0.5n 15 / 22 A recipe calls for​ cup 1/4 of melted butter. If the recipe is tripled, how many tablespoons of melted butter will be required? Hint: 4 tablespoons = 1/4 cup 4 12 3/4 1/12 16 / 22 Angela has a rope with a length of 22x−4y+ 6 She cuts this rope into three pieces. Two of the three pieces each have a length of 4x−5y+ 9 What is the length of the third piece of rope? 8x - 10y + 18 14x - 9y + 15 14x + 6y - 12 18x + y - 3 17 / 22 James knows that the width of his hand is 3 inches. He measures the height of a table to be 912 ​widths of his hand. What is the height of the table, in inches? 3 inches 27 inches 12.5 inches 28.5 inches 18 / 22 In a basketball game, Team A scored 39 points and Team B scored more points than Team A. If Team B has 8 players, the average score of the players on Team B must have been at least how many points? 1 5 6 8 The minimum number of points Team B could have scored is one more than Team A, or 40. Using the average formula, we have: \( text{Average} = frac{text{Sum of terms}}{text{Number of terms}} \). We are given that the sum is 40 points and the number of players is 8. Thus, \( text{Average} = frac{40}{8} = 5 \). The average score of the players on Team B must have been at least 5 points per player. 19 / 22 Which sentence best describes the change in the value of the item shown in the graph? The value of this item appreciates The value of this item depreciates The value of the item both appreciates and depreciates The value of the item neither appreciates nor depreciates 20 / 22 An equation is shown. Select the values that make this equation true. 7, 5 4, 6 7, 6 5 ,7 21 / 22 One of these tables of values shows information about a linear relationship between distance and time. Which table of values shows this relationship? Answer Choices From Top Left: A, B, C, D  A B C D 22 / 22 A zoo has 3 times as many gorillas as tigers. There are 3 more tigers than zebras at the zoo. If \( z \) represents the number of zebras, how many gorillas are there in terms of \( z \)? 3z z + 3 z + 6 3z + 3 3z + 9 Let \( g \) represent the number of gorillas, and let \( t \) represent the number of tigers. Since there are 3 times as many gorillas as tigers, \( g = 3t \). There are 3 more tigers than zebras, so \( t = z + 3 \). Substituting this into the equation for \( g \), we get \( g = 3(z + 3) = 3z + 9 \). Your score is Follow us on socials! LinkedIn Facebook Twitter 0% Restart quiz Send feedback More Quizzes SAT Exponential Functions with Positive and Negative Exponents Practice Quiz Take Quiz LSAT Prep Test 86 - Logical Reasoning 1 – Questions + Answers Take Quiz SAT Inferences (Medium) - English – Real Collegeboard Practice Questions with Answers and Explanations Take Quiz LSAT Prep Test 83 - Logical Reasoning 2 – Questions + Answers Take Quiz LSAT Prep Test 90 – Questions with Answers + Explanations Bundle - LR 1 Take Quiz Advanced SAT Math: Sum of Solutions and Polynomial Equations Take Quiz SSAT Middle Level Math Free Diagnostic Practice Test 1 Take Quiz SAT Randomized Questions - 4 Full Math Practice Tests - Answers and Detailed Explanations at the END Take Quiz
