Math questions from Kindergarten to 8th grade
Practice key math skills for every grade level from kindergarten through 8th grade with 45 practice questions and answers.
Author
Tess Loucka
Published:
April 2025
Key takeaways
- • Solving practice problems can help students of all ages improve their math skills.
- • The math requirements for each grade build on skills learned in previous grades.
- • Each grade focuses on a handful of key topics that students should focus on to find success in math.
From kindergarten to 8th grade, students go through all kinds of changes, big and small. Between the ages of 4 and 13, students build the foundations of everything they will learn in life, whether that’s in or outside the classroom. These are formative years, but can also be some of the hardest if students are not set up for success.
In this article, we’ll go over five of the most common types of questions asked at each grade level, starting from kindergarten and ending at the 8th grade. By reviewing and mastering the topics shown in the math question examples below, no matter what grade you’re in, you can always find success in mathematics.
1. Counting
Fill in the missing number:
6, 7, 8, __, 10, 11, 12
Answer: 9
Explanation: This series of numbers starts at 6, ends at 12, and counts up by the number 1. After 8 comes 9.
2. Addition and subtraction
What is 3 + 5?
Answer: 8
Explanation: The values of 3 and 5 combined are equal to 8.
3. Place Value
How many tens blocks are there, and how many ones blocks are there?
Answer: 3 tens and 5 ones
Explanation: Count the groups of 10s and the single blocks to get your answer.
4. Basic measurements
Picture a pencil and a swimming pool. Which one is longer?
Answer: The swimming pool
Explanation: This question requires students to estimate measurements based on logic and comparison.
5. Shape Recognition
What shape is this?
Answer: Square
Explanation: Squares have four equal sides.
Table of contents
1. Addition and Subtraction
Maria had five eggs. Henry gave her an additional five eggs. How many eggs does Maria have now?
Answer: 10
Explanation: You can rewrite this word problem as 5 + 5 = 10.
2. Place Values
What is the digit in the tens place of the number 46?
Answer: 4
Explanation: The tens place is the second place value from the right, which, in this case, is 4.
3. Geometry
What are the following four shapes called?
Answer: Rectangle, triangle, trapezoid, and oval
Explanation:
- Rectangles are four-sided shapes. Their parallel opposite sides are equal.
- Triangles are three-sided shapes.
- Trapezoids are four-sided shapes that have one pair of parallel opposite sides.
- An oval is a rounded, elongated shape.
4. Measurements
How long is the paintbrush?
Answer: 9 ½ inches
Explanation: Looking at the ruler, you can see that the paintbrush starts at 0 inches and ends at 9 ½ inches. Therefore, it is 9 ½ inches long.
5. Telling Time
What time is it on the clock below?
Answer: 2:30
Explanation: The hour hand points to 2 o‘clock. The minute hand is pointing at 6. Since minutes are labeled on a clock in groups of 5, we can multiply 6 by 5 to get 30. So, it is 2:30.
1. Addition and Subtraction
Lisa has 12 books at home and 3 books at school. She gives 2 books away. How many books does Lisa have in total?
Answer: 13
Explanation: This word problem can be rewritten as 12 + 3 – 2 = 13.
2. Place Values
Which digit is in the thousands place?
12,356
Answer: 2
Explanation: The thousands place is the place value right before the comma. The thousands place here has a 2.
3. Measurement
How many inches longer is the pencil than the crayon?
Answer: 5½ inches
Explanation: Subtract the two lengths from each other. The pencil is 10 inches long, and the crayon is 4½ inches long—10 – 4½ = 5½.
4. Telling Time
What time will it be after two and a half hours?
Answer: (see image below)
Explanation: Move the hour hand two hours forward and move the minute hand 30 minutes forward.
5. Counting Money
What is the value of the money below?
Answer: $1.68
Explanation: If we add everything together, we get $1 + 25 cents + 25 cents + 10 cents + 5 cents + 3 cents = $1.68.
1. Addition and Subtraction
What is 330 + 623 – 144?
Answer: 809
Explanation: Start by adding 330 and 623 together to get 953. Then, subtract 144 from 953 to get 809.
2. Multiplication
Nina wants to give 3 lollipops to each of her 5 friends. How many lollipops will she need?
Answer: 15 lollipops
Explanation: Multiply the number of lollipops Nina wants to give to each friend by the number of friends she has—3 x 5 = 15.
3. Division
What number goes into 42 six times?
Answer: 7
Explanation: This question basically asks, “What is 42 divided by 6?” Divide 42 by 6 to get 7.
4. Fractions
Where is ¾ on the number line below?
Answer: (see image below)
Explanation: If the space between 0 and 1 is split into 4 equal parts, ¾ represents the 3rd of those parts. So, ¾ falls on the third line.
5. Geometry
What is the area of the shape below?
1. Addition and Subtraction
Norman has five sets of blocks. Each set contains 10 blocks. If he gives 14 blocks to his sister, how many blocks does he have in total?
Answer: 36 blocks
Explanation: To find out how many blocks there are in Norman’s five sets of blocks, we can multiply 5 by 10 to get 50. Since Norman gives 14 to his sister, we can subtract 14 from 50—50 – 14 = 36.
2. Multiplication
What is 822 times 9?
Answer: 7,398
Explanation: Multiply 822 by 9 using column multiplication. Start by multiplying 9 by the ones digit (2) to get 18. Drop the 8 and carry the 1. Then, multiply by the tens digit (2) to get 18 again. Add the 1 from before to get 19. Drop the 9 and carry the 1. Finally, multiply by the hundreds digit (8) to get 72. Add the one to get 73. Drop both numbers to get the final number of 7,398.
3. Place Values
Round 43,564 to the nearest tens place.
Answer: 43,560
Explanation: When rounding to the nearest tens place, look at the ones place. If the digit in the ones place is 1-4, round down. If the digit in the ones place is 5-9, round up. Since the ones digit is 4, we have to round down to get 43,560.
4. Which symbol should you use to complete the inequality below? (<, >, or =)
¾ __ ⅓
Answer: ¾ > ⅓
Explanation: When comparing fractions, give them the same denominator using the LCD or lowest common denominator. Using the common denominator of 12, ¾ becomes 9/12, and ⅓ becomes 4/12. Since 9/12 is greater than 4/12, ¾ must be greater than ⅓.
5. Geometry
Is this statement true or false?
The angle below is obtuse.
Answer: False
Explanation: An obtuse angle is more than 90 degrees, and an acute angle is less than 90 degrees. The angle shown in this question is less than 90 degrees, so it is not obtuse.
1. Decimals
What is 3.50 x 1.15?
Answer: 4.025
Explanation: Decimal numbers can be multiplied the same way as non-decimal numbers. Just remember to add the decimal point back in!
2. Fractions
What is ⅘ ÷ ⅙?
Answer: 24/5 or 4⅘
Explanation: Remember, “keep, change, flip!” Keep ⅘ the same, change the division sign to a multiplication sign, and flip ⅙ to 6/1. Then, multiply to get 24/5 or 4⅘.
3. Coordinate Planes
What are the ordered pairs of the points on the coordinate plane below?
Answer: Point A = (4, 5) and Point B = (1, 1)
Explanation: To find the ordered pair of a point, start with the horizontal axis, or the X-axis. The first coordinate is the X-value. The second coordinate is found on the vertical axis or Y-axis and is the Y-value.
4. Geometry
Find the area of the shape below.
Answer: 94ft
Explanation: The shape can be split into two rectangles. Using the given measurements, you can determine that the larger rectangle is 6ft tall and 11ft wide, while the smaller rectangle is 4ft tall and 7ft wide—6 x 11 = 66, 4 x 7 = 28, 66 + 28 = 94.
5. Converting Units of Measurement
How many inches are in 2 yards?
Answer: 72 inches
Explanation: One yard equals 36 inches. So, two yards equals 36 inches x 2 = 72 inches.
1. Percentages
A $45 skirt is on sale for 20% off. How much money does the skirt cost?
Answer: $36
Explanation: 20% of $45 is $9. Subtract $9 from $45 to find the new price of the skirt—$45 – $9 = $36.
2. Exponents
What is 53?
Answer: 125
Explanation: To solve, multiply 5 by itself 3 times.
3. Negative Numbers and Equations
Solve for c:
-1.2c = 0.6
Answer: -½ or -0.5
Explanation: Isolate c by dividing both sides by -1.2. When you do this, you are left with c = 0.6/-1.2, which can be simplified to -½ or -0.5.
4. Coordinate Planes
Rectangle ABCD is graphed in the coordinate plane, but the coordinates of vertex D are missing. Given the coordinates of A, B, and C, determine the coordinates of point D.
Answer: (-8, 2)
Explanation: Point D is aligned vertically with point A and therefore shares its X-value. Point D is aligned horizontally with point C and, therefore, shares its Y-value.
5. Geometry
What is the surface area of the 3D shape below?
1. Ratios
It takes Max 4 minutes to ride down 12 blocks on his bike. If his goal is to ride down 18 blocks, how long will it take him?
Answer: 6 minutes
Explanation: If Max can travel 12 blocks in 4 minutes, he can travel 6 blocks in 2 minutes and 3 blocks in 1 minute. Since his goal is to travel 18 blocks, divide 18 by 3 to get 6.
2. Statistics
A pouch of rocks contains 5 green rocks, 4 yellow rocks, 2 blue rocks, and 4 black rocks. If one rock is randomly pulled from the bag, what is the probability the rock is yellow?
Answer: 4/15
Explanation: Count all the rocks to find out there are 15 rocks in total. Since there are 4 yellow rocks in the bag and 15 total rocks, there is a 4/15 chance that a yellow rock will be chosen randomly.
3. Equations
Solve for X:
8(4 – x) = 96
Answer: x = -8
Explanation: Distribute 8 to the values in the parentheses to make the new equation 32 – 8x = 96. Then, subtract 32 from both sides and get -8x = 64. Lastly, divide both sides by -8. The final answer is x = -8.
4. Percentages
Emma goes to a fast food restaurant. She gets a meal for $12. It is usually priced at $15. How much was the meal discounted when Emma bought it?
Answer: 20%
Explanation: Emma’s meal was $3 less than it usually is. So, determine what percentage $3 is of $15—20%.
5. Geometry
What is the circumference of the following circle?
Answer: 16𝛑
Explanation: Use the formula 2𝛑r to find this circle’s circumference, where r = radius. Rewrite the formula as 2𝛑8 = 16𝛑.
1. Linear Equations
What is the slope of the following equation?
4x + 25 = y
Answer: 4
Explanation: The formula for a linear equation is mx + b, in which m = slope and b = Y-intercept. The slope in this question is 4.
2. Equation Word Problems
Amy will be two times as old as she is now in 5 years. How old is Amy?
Answer: 5
Explanation: This problem can be written as an equation where x is Amy’s age—x + 5 = 2x. By solving for x, you get x = 5.
3. Geometry
What is the measurement of the exterior angle? Use the exterior angle theorem.
Answer: 120 degrees
Explanation: The exterior angle theorem states that <1 + <2 = <4. If <1 = 35 and <2 = 85, 35 + 85 = 120. So, <4 = 120.
4. Data Analysis
Look at the scatter plot below. What is the relationship between the average grade of a student and the number of books they read per year?
Answer: Students who read more books per year tend to get better grades.
Explanation: The scatter plot shows a positive trend, meaning that a higher grade tends to align with more books read and vice versa.
5. Pythagorean Theorem
What is the length of the diagonal of a square that has a side length of 5 cm? Round your answer to the nearest tenth.
There is so much to learn in kindergarten through 8th-grade math! If you struggle with math, don’t worry. More practice will only make it easier. Are you interested in more math questions with answers? Check out DreamBox’s math program, an online resource designed to help students at every level.
Whether you need math questions for 2nd graders, 5th-grade math questions, 8th-grade math questions, or everything in between, practice questions are your path to success!
