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: 8399
- Students to teachers
The ratio of students to teachers in a school is 19:1. In total, there are 380 students in the school. What is the number of teachers in the school according to the ratio? - Ice cream shop
Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 hours later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness? - A ladder 3
A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth - Ten percent
Find 10% of $4. Explain - Elimination method
Use the method of elimination to solve the following simultaneous equations. 5a − 2b = 14 2a + 2b = 14 - At midnight
The outside temperature at midnight was 3.4 °C. The temperature then changed at a constant rate of −0.78 °C per hour for 8 hours. What was the outside temperature at 8:00 AM? - The product 19
The product of two consecutive positive integers is 306. Find the integers. - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, by how many metres will C beat B? - Two sons and man
A man's age is three times the sum of the ages of his two sons. After five years, his age will be twice the sum of the ages of his two sons. Find the man's current age. - Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream. - Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace. - Amusement park.
A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking costs $16.75, and tickets cost $32.75 per person including tax. Write and solve an equation to determine the number of people who can go to - A river
A river flows at a speed of 5 km/h. A man can swim at 20 km/h in still water. The man starts swimming from A to B, a distance of 30 km. After reaching B, the man turns back and stops at point A. Find the total time for the round trip. - Circular track 3
Henry and Margo both start travelling around a circular track at the same time from the same point. Henry is riding his bike and Margo is walking. Henry takes 7 minutes to complete a lap, and Margo takes 12 minutes. How many minutes will pass until they m - Hiking trails
There are 12,000 kilometres of hiking trails in a national park. Each trail is rated for difficulty: 3/8 of the trails are rated easy, 1/6 are rated moderate, 1/4 are rated hard, and 5/24 are rated difficult. What fraction of the trails are rated easy or - Stefan
Stefan sells Jin a bicycle for $147 and a helmet for $18. The total cost to Jin is 150% of what Stefan originally spent to buy the bike and helmet. How much did Stefan spend originally? How much profit did he make by selling the bicycle and helmet to Jin? - Nely and chocolate
Three friends share a chocolate bar. Polly ate 2/5 of the chocolate bar, Kim ate 3/7 of the chocolate bar, and Nelly ate the rest. What fraction of the chocolate bar did Nelly eat? - Bags of sugar
After I had used 1/5 of a bag of sugar and then used 1/4 of what was left, I had 60 g of sugar remaining. How much did I start with? - Enlarged photo
A photograph has been enlarged by a scale factor of 1.75. If the enlarged photo has an area of 675 cm², what is the area of the original photo? - Sauce in the bowl
I cook 8 cups of pasta, then divide it equally among 5 bowls, and pour 1 1/4 cups of sauce into each bowl. How many cups of pasta and sauce are in each bowl in total?
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