Grade - practice problems
Here’s a concise overview of the U.S. school system’s approach to mathematics, highlighting its structure, key focus areas, and challenges:Elementary School (K–5): Focus on arithmetic (fractions, decimals), basic geometry, and problem-solving.
Middle School (6–8): Introduction to pre-algebra, ratios, statistics, and foundational algebra (linear equations).
High School (9–12):
- *Core Sequence*: Algebra I → Geometry → Algebra II → Pre-Calculus/Calculus (for advanced students).
- *Electives*: Statistics, AP Calculus (AB/BC), or applied math (e.g., coding, financial math).
Number of problems found: 18283
- 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 .
- Two types of ore
A total of 42 tons of two types of ore is to be added into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tons of copper.
- 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?
- Cu ore
An ore contains 5% copper. How much ore is required to obtain 400 grams of copper?
- 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?
- Existence of a triangle
Can the sides of a triangle have lengths 4, 18, and 20?
- 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?
- Bellow one
What is 1/3 in whole number?
- Last Friday
3/4 of the children were present at school last Friday. If there are 90 children present, how many children were absent?
- 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?
- Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0
- 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?
- A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
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