4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (2023)

  • Home
  • >
  • Blog
  • >
  • 4th Grade Diagnostic Math Test

4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (1)

Jessica Kaminski

9 minutes read

December 23, 2022

Math Tests

4th grade marks a point in your child’s life where they’re ready to learn advanced math concepts like decimal numbers, factors, complex operations, and measurement. It’s a time when kids need a lot of help to handle the new curriculum as they may tackle some problems while studying.

The 4th grade math test is one way to test your child’s abilities and see their current performance. With the test results, you can access your child’s strengths and weaknesses to determine where they need help. Read on to learn more about the 4th grade math test with answer key.

The Importance and Benefits of Diagnostic 4th Grade Math Tests

If you’re wondering why your child needs to take the diagnostic test, below are a few reasons why it’s important:

Assessing a Student’s Skill Level

Diagnostic tests are primarily used to determine a student’s skill level. With the results of the diagnostic test, teachers can prepare their lessons most effectively. Both tutors and parents can use the tests to identify their student’s weaknesses and find the ways to fill in the gaps in knowledge.

(Video) 90% fail - Can you pass a GRADE 4 Math Test??? (Quick Learnerz)

Speeding up Learning

If a student is strong at fractions but poor at measurements, they should clearly be working on trying to improve their performance in measurements. Knowing the areas to focus on will help speed up a child’s learning.

Preparing for a Test

Taking the 4th grade math tests is also a great way to prepare for an assessment test. Whether your child is preparing for the 4th grade end of year math test or getting ready to take the 4 grade math state test, the diagnostic test can show you where children currently are. The diagnostic test result can show you if they’re on track or whether they need to step up their preparations. You can also use the test to determine if there are areas a kid needs to focus on and whether they need extra help to improve.

Taking the Pressure away from Students

Many kids get test anxiety when they’re preparing to take a school test. This could act as a mental handbrake that can have a negative impact on a child’s performance. But when they take a diagnostic test, there’s less pressure since their work is not graded. They can also use the test to build confidence, thus overcoming their fears before taking a real test.

A diagnostic test will show the areas a student is familiar with and the ones they need to work on.

Fourth Grade Math Test

Solve the following problems:

  1. Which of the fractions below is not equivalent to the other two? ___________

    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (2)

  2. Jester’s business is currently not doing well. He earned 468 dollars on Friday. He earned 459 dollars on Saturday. He earned 432 dollars on Tuesday. How much did Jester earn on Thursday?
    1. 414
    2. 424
    3. 451
    4. 314
  3. Study the base-10 blocks below and choose the number it represents. Look carefully before choosing an answer!

    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (3)

    1. 164
    2. 363
    3. 300
    4. 452
  4. Round 745 to the nearest hundred _____________ and round 2755 to the nearest thousand _____________
  5. Look at the options below and choose the number that is the same as five thousand twenty-two.
    1. 502
    2. 5200
    3. 5022
    4. 5202
  6. Write the decimals 0.4 and 0.25 as fractions and in words.

    0.4 :______________ ______________

    0.25 : ______________ ______________


  7. Which of the answers below is greater than 5668 but less than 5705?
    1. 5707
    2. 5677
    3. 5800
    4. 0
  8. Look at the equation below and write the value of the symbol # ________________

    6 + # = 14

  9. How many blocks of 100 and 10 can you create with 3250?
    1. 32 and 5
    2. 325 and 1
    3. 3 and 55
    4. 30 and 50
  10. 2 nickels, 3 dimes, 6 cents, 1 quarter equals:
    1. $0.71
    2. $0.70
    3. $0.75
    4. $0.69
  11. What is the result when you multiply 235 by 13 ________________
    1. 3078
    2. 4322
    3. 566
    4. 3055
  12. Which of the fractions below is greater than 2/3?
    1. 4/5
    2. 1/3
    3. 2/6
    4. 4/6
  13. Write 4 multiplication problems that are the same as 12 + 12 + 12
  14. What is the shaded fraction of the figure below?

    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (4)

    1. four-eighths
    2. two-ninths
    3. nine-three
    4. Three-ninths
  15. Solve the additions and subtractions below

    63827 + 4238 = ?

    93335 – 91312 = ?

  16. What would you call a geometric figure that has the shape of a dumpster? ______________________
  17. Which of the shapes below could you use to describe the correct shape of an eyeball?
    1. Sphere
    2. Cube
    3. Cone
    4. Cylinder
  18. Which of the following shapes could you probably use to describe the shape of the refrigerator in your house?
    1. Cube
    2. Sphere
    3. Cylinder
    4. Rectangular prism
  19. Assuming you have 5 dimes, 3 quarters, 2 pennies, and 1 nickel in your bag. You asked a friend to pick one of the coins. Which coin do you think your friend is most likely to pick? Briefly explain why.
  20. Write out the following numbers in words.

    5559 ______________

    8655 ______________

  21. Solve the following long division problems.

    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (5)

  22. Which of the two circles below will produce a whole when added together?


    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (6)

    1. Choice #1: B and C
    2. Choice #2: A and B
    3. Choice #3: A and C
    4. Choice #4: B and D
  23. Draw a circle. Divide the circle into 4 equal parts and shade two-fourths of the circle.
  24. Draw two circles. Divide each circle into 4 equal parts. Shade one-fourth of the first circle and three-fourths of the second circle.

    a) What is three-fourths plus one-fourth? _______________________

    b) What is three-fourths minus one-fourth?_________________________

  25. Replace the symbols # and * with numbers to balance the following equation

    6 + * = 10 + # + #

  26. Which math problem(s) is exactly the same as 40 + (100 + 300)? ______________
    1. 40 + 500
    2. 140 + 300
    3. 40 × 11
    4. 40 ×100 + ( 30 )
  27. Problem solving skills. Do not use a calculator to solve this problem!

    You have 6700 dollars in your bag. You want to buy 7 laptops each costing 800 dollars.

    How much will you pay for the 7 laptops?_________

    Explain how you got the answer using the multiplication table and math facts.

    After paying for the calculators, how much money are you left with in your bag?_________

    Using math facts, explain how you got the answer very quickly.

    (Video) Grade 4 Mathematics Skills Test 1

    You decide to share the leftover money evenly between you and 10 of your friends. How much money will each person get?____________

  28. If 10 books cost 200 dollars, what is the price of 2 books? (Assuming you bought 10 of the same book)
  29. What is the area of the shape below?

    4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (7)

    1. 10 square units
    2. 14 square units
    3. 17 square units
    4. 16 square units
  30. In the space provided below, draw 2 lines that are parallel and another line that is perpendicular to the two parallel lines.
  31. In the space below, draw 2 congruent shapes and 2 similar shapes:
  32. Complete the sequence below with the next 2 numbers

    4, 20, 100, ________, ___________

Printable 4th Grade Math Assessment Test

If you’re looking for more assessment materials to help your child prepare for math state test grade 4 assessment, you can download the printable 4th grade math tests below.

  • 4th Grade Diagnostic Math Test 1 (Printable version)
  • 4th Grade Diagnostic Math Test 2 (Printable version)

What Math Skills Are Required to Pass the 4th Grade Math Test?

The 4 grade math tests will test your abilities in the following areas:

  • Geometry: To pass the math benchmark test 4th grade, your child needs to be familiar with geometry topics like lines, angles, identification of line segments, basic geometrical shapes, and polygons.
  • Decimals and Fractions: The 4th grade state test math questions will include multiplication and division operations and the questions on how to represent decimals and fractions.
  • Measurements: Maths test 4th grade questions will include problems on how to use measurements and problems involving area, length, weight, and area.
  • Operations: Students will be tested on addition, subtraction, multiplication, and division.

Look Online for More Math Help

If your child takes the diagnostic test but doesn’t perform well, there’s no need to panic. All you need to do is get them the help they need to improve their performance. This is where Brighterly comes in.

Brighterly is an online learning website that offers one-on-one math lessons with experienced teachers for kids. This platform uses interactive lessons and fun-based learning methods to help kids learn faster and improve their perception of learning math. You can apply for Brighterly’s evaluation lesson today to help your child perform better in math tests for 4th grade.

4th Grade Math Test - Diagnostic & Assessment Test for Fourth Grade (8)

Jessica Kaminski

Jessica is a a seasoned math tutor with over a decade of experience in the field. With a BSc and Master's degree in Mathematics, she enjoys nurturing math geniuses, regardless of their age, grade, and skills. Apart from tutoring, Jessica blogs at Brighterly. She also has experience in child psychology, homeschooling and curriculum consultation for schools and EdTech websites.

(Video) Diagnostic test in ENGLISH 4


What should a 4th grader know in math? ›

4th grade math
  • Interpret information in a graph.
  • Use data to make a graph.
  • Compare large numbers.
  • Understand negative numbers.
  • Multiply three- and four-digit numbers including numbers with zero.
  • Find common multiples.
  • Understand prime and composite numbers.
  • Divide larger numbers.

What is on a 4th grade gifted test? ›

CogAT 4th Grade Format & Sections

These batteries feature the following topics: Picture/Verbal analogies, Sentence Completion, Picture/Verbal Classification, Number Analogies, Number Series, Number Puzzles, Figure Matrices, Figure Classification, and Paper Folding.

What is a math diagnostic test? ›

Diagnostic assessments can help teachers take a data-driven approach to learn where student strengths and needs guide supports and intervention efforts. Math diagnostic testing can provide teachers with valuable insights into how students are currently thinking about math and the skills and strategies.

Is 4th grade math hard? ›

In fourth grade, the concepts are more complicated. Students spend a lot of time exploring math concepts like: Multi-digit multiplication, like 26 × 10. Two- and three-digit division, like 144 ÷ 12.

How old is a 4th grader? ›

In North America, the fourth grade is the fifth school year of elementary school. Students are usually 9 or 10 years old.

How many math facts should a 4th grader know? ›

Timed Math Fluency Expectations by Grade Level

In general, students should be able to complete 100 problems correctly in five minutes by the end of second grade, 150 problems correctly in five minutes by the end of third grade, 200 problems correctly in five minutes by the end of fourth grade, and so on.

What are 4 types of diagnostic testing? ›

Diagnostic tests
  • Biopsy. A biopsy helps a doctor diagnose a medical condition. ...
  • Colonoscopy. ...
  • CT scan. ...
  • CT scans and radiation exposure in children and young people. ...
  • Electrocardiogram (ECG) ...
  • Electroencephalogram (EEG) ...
  • Gastroscopy. ...
  • Eye tests.

How do I prepare for a diagnostic test? ›

For 6 hours before your test, do not eat or drink (except water). Do not even chew gum. If you have been advised to take your medications with food, eat nothing more than a few soda crackers 4-8 hours prior to your exam.

How many questions are on the math diagnostic test? ›

The assessment will ask up to 20-30 questions. You should plan to complete the assessment in one 2-3 hour sitting, uninterrupted – you CANNOT pause or go in and out of the test. When can I retake the test? You must work in your Learning Module for at least five hours in between placement assessments.

What is the hardest part of 4th grade? ›

They're being asked to do more things on their own than in earlier grades. They're expected to start using organization and time management skills. And they have to think critically and problem-solve. There's also a much bigger focus on writing in fourth grade.

How do I help my child who is struggling in math? ›

To help a child if they're struggling in math three words can guide you: slow, simple, supportive.
  1. Take things slowly. ...
  2. Keep things simple. ...
  3. Be supportive. ...
  4. Get more involved. ...
  5. Talk about math at home.

What score is gifted? ›

Although there are no standard IQ levels of intellectual giftedness, some experts suggest the following IQ ranges: Mildly gifted: 115 to 129. Moderately gifted: 130 to 144. ighly gifted: 145 to 159.

What determines if a child is gifted? ›

Using a standard IQ test with a score of 100 as the "norm," those children who earn 130 or above are considered gifted; 145 is profoundly gifted. In other instances, assessment may be based on a combination of intelligence test scores, creativity, and ability to focus on a task.

How do I know if my child is gifted at school? ›

Formal approaches to identify giftedness in young children include IQ tests, early developmental assessments and achievement tests. levels of general knowledge. these measures can be assessed against the expected performance of children of the same age.

What grade is a 17 year old in USA? ›

12th Grade

What grade is a 17 year old in? ›

Grade 12

How old is a fourth grader in Japan? ›

Comparison between the Age and Grade Structures in Japan and other countries
9-10​ELMN 4Grade 4
10-11​ELMN 5Grade 5
11-12​ELMN 6Grade 6
12-13JHS 1Grade 7
12 more rows
Jan 25, 2022

How should a 4th grader study for a test? ›

10 Best Study Tips for Students in Grades 4 -12
  1. 1) Schedule Specific Times for Studying. ...
  2. 2) Study at the Same Times Each Day. ...
  3. 3) Set Specific Goals for Your Study Times. ...
  4. 4) Consider Your Mental Energy When Scheduling Study Times. ...
  5. 5) Figure Out Your Learning Style. ...
  6. 6) Work on the Assignment You Find Most Difficult First.
Oct 11, 2011

What is the fastest way to memorize math facts? ›

Flashcards are a great no-fuss way to learn math facts. Shuffling a deck makes it easy to mix up the order in which students practice, a learner can study them together with a tutor, a peer, or on their own, and flashcards provide both visual stimuli and a chance for kinesthetic learning.

What should a child know by the end of Year 4 in maths? ›

In Year 4, your child will be learning to add and subtract numbers with up to four digits using column addition and subtraction. They will continue to learn their times tables, so that by the end of the year they are confident in all of them up to the 12 times table.

What are the 7 commonly performed diagnostic tests? ›

The 7 most common diagnostic tests are the following:
  • X-rays. ...
  • CT scan. ...
  • MRI. ...
  • Mammogram. ...
  • Ultrasound. ...
  • PET scans. ...
  • Pathology test:
Jun 23, 2022

What is the most common diagnostic test? ›

Chest x-rays are one of the most commonly performed diagnostic medical tests. This test provides a black-and-white image of your lungs, heart, and chest wall.

What are examples of diagnostic assessments? ›

Quick Examples of Diagnostic Assessment in Different Fields
  • Journals.
  • Quiz/test.
  • Conference/interview.
  • Posters.
  • Performance tasks.
  • Mind maps.
  • Gap-closing.
  • Student surveys.
Oct 13, 2021

Is diagnostic test in school graded? ›

Diagnostic assessments are “low-stake” assessments because they are non-graded and do not determine whether the student moves to the next educational level. Rather, they show a student's strengths and weaknesses regarding a specific field of study.

How long does it take to complete the iready diagnostic? ›

The i-Ready diagnostic is an untimed test. It should take approximately 50 minutes in grades K-1 and 90 minutes in grade 2 - 8. i-Ready recommends you split up the test into at least two sections per subject so students are likely to do their best.

Is diagnostic test accurate? ›

A perfect diagnostic test can discriminate all subjects with and without the condition and results in no false positive or false negatives. However, this is rarely achievable, as misdiagnosis of some subjects is inevitable. Measures of diagnostic accuracy quantify the discriminative ability of a test.

What is the most common answer choice on a math test? ›

Remember, the expected likelihood of each option being correct is 25%. And on tests with five choices (say, A, B, C, D, and E), E was the most commonly correct answer (23%). C was the least (17%).

What is the highest score you can get on the math diagnostic? ›

Individual Metrics The scores provided at the individual (student) level. i-Ready's diagnostic assessment provides a scaled score (ranges from 0 to 800) that can be tracked and compared across grades.

How can I pass a math test easily? ›

How to Study for a Math Test in 10 Easy Steps
  1. Start Early. Being prepared for a test starts with taking class seriously. ...
  2. Do Your Homework. ...
  3. Try a Planning Approach. ...
  4. Use Practice Tests and Exams. ...
  5. Use Flashcards. ...
  6. Practice Online. ...
  7. Try a Study Group. ...
  8. Set Rewards.

What should a 10 year old know in maths? ›

They'll begin to multiply fractions, learn more about decimals and be introduced to percentages. They will be able to count in powers of 10 and round numbers up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000. Don't worry if some methods that your child learns are new to you!

What are the 4 main things in math? ›

Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

What should every 4th grader know? ›

25 Things Every 4th Grader Needs to Know
  • Understand subject-verb agreement. ...
  • Write stories, personal letters and more. ...
  • Experiment with poetry. ...
  • Know basic punctuation and use it correctly. ...
  • Define idioms. ...
  • Measure distance using map scales.
Oct 25, 2016

Is my child gifted in math? ›

If you notice your child is good with any kind of numbers, and prefers them over words, you may be having child that is gifted in math. It's not all about raw mathematics, but if your child likes puzzle solving, logic games and comparing things one to another, it can be a sign of good math skills.

Why is my child struggling in math? ›

Disorders like dyslexia, visual or auditory processing, ADHD, and others can also impact a child's ability to meet expectations in completing math problems. It's also possible for kids who do have dyscalculia to have other learning disabilities as well. Many do.

How old are people in Year 4? ›

Your child's year group
Date of birthSchool year 2022-2023Age
September 2011 - August 2012Year 610 - 11
September 2012 - August 2013Year 59 - 10
September 2013 - August 2014Year 48 - 9
September 2014 - August 2015Year 37 - 8
8 more rows

How old was I in Year 4? ›

Year 4 at primary school (age 8–9) - Oxford Owl.

What level should Year 4 be? ›

Level 3

What are the 3 rules of math? ›

There are many laws which govern the order in which you perform operations in arithmetic and in algebra. The three most widely discussed are the Commutative, Associative, and Distributive Laws. Over the years, people have found that when we add or multiply, the order of the numbers will not affect the outcome.

What are 4th grade math problems? ›

In fourth grade, students focus most on using all four operations - addition, subtraction, multiplication, and division - to solve multi-step word problems involving multi-digit numbers. Fourth-grade math extends their understanding of fractions, including equal (equivalent) fractions and ordering fractions.

What are the most important 4th grade math standards? ›

Fourth graders generally have a basic understanding of fractions, but now they'll learn more about equivalence and multiplying fractions. In fourth grade, students will learn how to compare two fractions with different denominators or different numerators. They will also work on multiplying fractions by a whole number.

Is 4th grade hard or easy? ›

For many kids, fourth grade can be a hard year. There are a lot of changes in teaching from third to fourth grade. School expectations take a big leap forward. Friendship becomes more important, and cliques tend to get more common around fourth grade.

How do you get all A's in 4th grade? ›

10 Steps to Help You Get Straight A's
  1. STEP 1: Take the right subjects …and school will be a lot easier! ...
  2. STEP 2: Work with your teacher … ...
  3. STEP 3: Never miss a class …it will always catch up with you! ...
  4. STEP 4: Always sit up front … ...
  5. STEP 5: Complete your homework before class …so you will be prepared in class!

How can I be smart in 4th grade? ›

Here are six steps to smarter studying:
  1. Pay attention in class.
  2. Take good notes.
  3. Plan ahead for tests and projects.
  4. Break it down. (If you have a bunch of stuff to learn, break it into smaller chunks.)
  5. Ask for help if you get stuck.
  6. Get a good night's sleep!


(L3t'z vLog)
(Sir Elbert)
(Sir Elbert)
4. Grade 4 Maths Review Test Video
(David Morkunas)
5. City and Guilds Math Skills 3850 Math Diagnostic Test 30 Questions
(Kemet Maasai Academy PEP Math and CSEC)
6. Grade 4 problem solving : diagnostic test
Top Articles
Latest Posts
Article information

Author: Ms. Lucile Johns

Last Updated: 12/11/2022

Views: 5905

Rating: 4 / 5 (41 voted)

Reviews: 80% of readers found this page helpful

Author information

Name: Ms. Lucile Johns

Birthday: 1999-11-16

Address: Suite 237 56046 Walsh Coves, West Enid, VT 46557

Phone: +59115435987187

Job: Education Supervisor

Hobby: Genealogy, Stone skipping, Skydiving, Nordic skating, Couponing, Coloring, Gardening

Introduction: My name is Ms. Lucile Johns, I am a successful, friendly, friendly, homely, adventurous, handsome, delightful person who loves writing and wants to share my knowledge and understanding with you.