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.
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 14
- Compare ratios
Is ratios 4:7 and 16:19 equivalent?
- 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.
- Cement, sand, and gravel
Concrete tiles are made using buckets of cement, sand, and gravel mixed in a ratio of 1:4:6. How many buckets of gravel are needed for 4 buckets of cement?
- Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
- Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of
- Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m
- Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism?
- Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si
- Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
- Wooden blocks
Alex cut the wooden block into two parts in one cut. Which body could he not get?
- Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°?
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
We apologize, but in this category are not a lot of examples.
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.