Math practice for 13 year olds
Middle School Math Practice: Grade 8 Workbook. 8th grade is typically attended by students who are 13–14 years old, marking their final year of middle school (or junior high) before transitioning to high school (9th–12th grade).In 8th grade in the U.S., students typically study:
1. Algebra – Solving linear equations and inequalities, systems of equations, and introduction to functions (linear and quadratic).
2. Geometry – Pythagorean theorem, transformations (translations, reflections, rotations), and volume/surface area of 3D shapes.
3. Statistics & Probability – Analyzing scatter plots, linear models, and basic probability (independent/dependent events).
4. Number Sense – Working with exponents, scientific notation, and irrational numbers (like √2 or π).
Some states also introduce early pre-algebra or foundational algebra concepts to prepare for high school math.
Number of problems found: 7231
- The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height?
- A building
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height of 25 centimeters. What is the length of the building on the scale drawing in centimeters?
- A watch
If a watch is sold at 60 USD, there is a loss of 15%, for a profit of 2%, the watch is to be sold at how many USD?
- A rope for cow
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m .
- The average 19
The average age of a class was 15 years. When 5 boys whose average age was 12 years 6 months were admitted in the class, the average was reduced by 6 months. How many students were there in the class originally?
- The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the volume of the Earth is the volume of the Moon?
- The shadow 2
The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower.
- Journey trip
A man performs 2/15 of the total journey by rail, 9/20 by bus and the remaining 10 km, on the cycle. What is his total journey?
- Salaries - ratio3
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
- Goods train
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- Fabric - Jose
Jose had 1 5/7 yards of fabric and used 24/59 yard for a project. What fraction of the fabric did he use?
- Beeps
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they will beep together at the earliest?
- Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- Submarine and plane
A submarine is floating 900 m below the sea level. And at the opposite point, right above the submarine, an aeroplane is flying at the height of 4800 m above the sea level. What is the vertical distance between the two?
- The average 18
The average age of 5 members of a committee is the same as it was 3 years ago. Because an old member has been replaced by a new. Find the difference between the ages of old and new member.
- Digits sum
A two digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. Find the sum of the digits of the number.
- Salary up and down
After reducing the salary of a man by 50%, it is increased by 50%. Find the loss or gain percent.
- Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case.
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