9th Grade Math Questions
Sandee Embree
Most fifth graders find reasoning questions to be the most difficult. Unsurprisingly, we teach thousands of students in the weeks leading up to standardized tests. Teaching them math reasoning skills at the elementary level is a big part of what we do here at Third Space Learning.
For more word problems like this, check out our collection of 2-step and multi-step word problems. For advice on how to teach children to solve problems like this, check out these math problem solving strategies.
The simplest type of reasoning question students are likely to encounter, single step problems are exactly that: students are asked to interpret a written question and carry out a single mathematical step to solve it.
This question encompasses three different math skills: multiplying (and dividing) decimals, addition and subtraction. Students can choose to work out the multiplication or division first, but must complete both before moving on.
Multi-step problems are particularly valuable to include in practice tests because they require children to apply their knowledge of math language and their reasoning skills several times across the course of a single question, usually in slightly different contexts.
This is a two step problem; students must first be able to read and convert kilograms to grams (and therefore know the relationship and conversions between the two units- 1,000 grams to 1 kilogram), multiply 2.6 by 1,000 which equals 2,600, then divide 2,600 by 65. The quotient is the number of washes possible.
To find 8 feet in inches, students must multiply 8 by 12. This gives the answer 96 inches. Students must then divide 96 by 40 to find the height of one box: 2.4 inches. Multiply 2.4 by 5 and minus this from the original 96 inch tower.
This question is considerably more complex than it appears, and incorporates aspects of multiplication as well as spatial awareness. One potential solution is to work out the area of the card (35), then work out the possible square numbers that will fit in (understanding that square numbers produce a square when drawn out as on a grid), and which then leave a single rectangle behind.
More than most problems, this type requires students to actively demonstrate their reasoning skills as well as their mathematical ones. Here students must articulate either in words or (where possible) numerically that they understand that Q to R is 1/5 of the total, that therefore P to Q is 4/5 of the total distance, and then calculate what this is via division and multiplication.
Answer: No; multiplication and division have the same priority in the order of operations, so in a problem like 40 x 6 2, you would carry out the multiplication first as it occurs first.
Answer: Any answer that refers to the fact that there is a 5 in the hundredths place, AND a 9 in the thousandths place, so that the number has to be rounded up as far as the ten-thousands place.
Both answers must be correct to receive the point. Students must recognize that 3/4 is the same as 6/8, so the sequence is increasing in 3/8 each time. The first number is 3/8 less than 1 3/8 and the final number is 3/8 greater than 1 3/4. They then must be able to add and subtract fractions to obtain the answers.
A good knowledge of the fundamentals of fractions is essential here: students must understand what a larger denominator means, and the significance of a fraction with a numerator greater than its denominator.
Do you want to know what taking the Mathematics portion of the NJSLA is like? A practice test for each grade is available below for you to use to familiarize yourself with the kinds of items and format used for the tests
Information on Accessibility Features
- The full list of accessibility features embedded for all students and accessibility features that need to be identified in advance can be found in the NJ Accessibility Features and Accommodations Manual..
- Answer masking, color contrast (background/font color) and text-to-speech for mathematics and science, are available for all participating students who need these tools, but need to be identified in advance via the Personal Needs Profile (PNP).
The interaction has been updated to a more common design that aligns to the standard interaction used by screen reader users. Now, when students navigate into a multiple choice field, the radio button given focus by the Screen Reader will automatically be selected. Students can use the space bar to remove the selection.
A screen reader is a software application, separate from text-to-speech embedded in TestNav, which conveys web content through audio. Screen readers are appropriate for students who are trained to use the software and who use it in the classroom, including those who are blind or have a visual impairment.
The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to teachers for use with their students from grades 3 and up.
The following table has links to booklets containing all the problems and solutions from particular years. The problems are organized into themes, grouping problems into various areas of the curriculum. A problem often appears in multiple themes.
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The online Sample Item Sets are a select group of test items in ELA, mathematics, science, and social studies that encompass different item types, such as multiple choice, constructed response, and various kinds of technology-enhanced items. The sets provide students, teachers, and parents practice in solving grade-level and content-specific test items aligned to Michigan's academic content standards.
Kangourou sans Frontires (KSF) is an independent association, whose purpose is to organise the annual Kangaroo contest with the aim of promoting mathematics among young people around the world. Each year over six million school pupils aged 5 to 18 from more than 50 countries throughout the world take part at various levels. Awards are given to the top scoring students per grade at the national level. We decide to provide here a collections of past papers and solutions for those who wish to practice the math problems.
In the early 80's, Peter O'Halloran a math teacher at Sydney, invented a new kind of game in Australian schools: a multiple choice questionnaire, corrected by computer, which meant that thousands of pupils could participate at the same time. It was a tremendous success for the Australian Mathematical National Contest.
In 1991, two French teachers (Andr Deledicq et Jean Pierre Boudine) decided to start the competition in France under the name "Kangaroo" to pay tribute to their Australian friends. In the first edition, 120 000 juniors took part. Ever since the competition has been opened to pupils as well as to senior students, followed by 21 European countries forming altogether "Kangaroo without borders".
The MCAP mathematics assessments focus on the content outlined in the Maryland College and Career Ready Standards for each grade level or course. Students are asked to demonstrate their understanding of mathematics by solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically.
For students in grades 3 through 8, the assessments are given toward the end of the school year. Assessments in Algebra I, Geometry, and Algebra II are administered after a student has completed most of the required course.
MSDE Public Release Site
This site provides access to released questions from former MCAP tests. MCAP released questions are representative of the content and skills included on the MCAP and are provided to help students recognize the nature and format of the questions.
Over the years I created and collected tasks that are both challenging and fun for my first graders. Each task also has a challenge question that can be used when a student solves the problem and is looking to challenge themselves a little further.
Each task comes in 3 different forms as well. There is a printable version that you can see above with the question on it. There is a guided printable version which is the same, but has guiding questions to help your students complete the problem, and a task card version to print, laminate and pass out to groups.
Welcome to Susan Jones Teaching. When it comes to the primary grades, learning *All Things* in the K-2 world has been my passion for many years! I just finished my M.Ed. in Curriculum and Instruction and love sharing all the latest and greatest strategies I learn with you through this blog and my YouTube channel! I hope you'll enjoy learning along with me :)
The first step in the Answer Groups workflow is selecting the type of question. Four question types are currently supported: Manually Grouped, Multiple Choice, Math Fill-in-the-blank, and Text Fill-in-the-blank.
Questions where students fill in bubbles or check squares. We do not currently support questions of circle-the-right-choice variety. There must be clear mark areas, and they must be clearly selected by the student (no half-filled bubbles). Students should use an ink pen to select the mark areas for maximum clarity.
Gradescope AI is able to read student handwriting of English-language text and of math notation (including fractions, integral signs, etc.). The main constraint is for the student answer to be on just one line, which is most easily enforced by providing a clear box or underscored area in the assignment template, as in the two examples below. You can adjust the final answer area by clicking Final Answer Area from the question type selection page.
On the Review Groups page, you will see an image of one of the responses within the group, the group name, and how many student submissions are in that group. You can edit the group name or delete the group by hovering over the group with your mouse and clicking the Rename or Delete (and Ungroup Answers) buttons.
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