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: 18273
- 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. - 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 Because an old member has been replaced by a new.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.
- The sum 52 The sum of digits of a two digits number is 10. On interchanging the digit, the number obtained is 54 less than the original number. What is the original number?
- Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole. - The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides. - Correcting mean
The average of 10 numbers is calculated as 25. It is discovered later on that while calculating the average, one number, namely 36 was wrongly read as 56. Find the correct average.
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