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: 8670
- Length units
How many times inch and a half go to the 12 feet?
- Three in a ratio
If A is 40% more than B, B is 20% less than C then, find the ratio A : C.
- School - boys:girls
In a school 10% of boy is equal to the 1/4 of number of girls and 10% of the number of girls is equal to the 1/25 of boys. Find the ratio between the number of boys and girls.
- Eva wraps
Eva wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square meters?
- A solid
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid .
- Compare ratios
Is ratios 4:7 and 16:19 equivalent?
- The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold for $5 less, he would have gained 25%. Find the cost price of the article.
- A train 6
A train covers a distance 10km, 20km, and 30km in 50 kmph, 60 kmph and 90 kmph respectively. Find the average speed of the train (in km/h).
- 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?
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