Grade - practice problems - page 2 of 915
Key Features of US math learning system- Standards: Most states follow Common Core State Standards (CCSS), emphasizing conceptual understanding, real-world applications (e.g., data analysis), and modeling.
- Tracking: Students are often grouped by ability (e.g., honors/AP vs. remedial classes), leading to variability in rigor.
- Assessments: Standardized tests (e.g., SAT, ACT, state exams) heavily influence math placement and college admissions.
3. Strengths
- Flexibility: Advanced students can take college-level math (AP/IB) in high school.
- Innovation: Growing emphasis on coding, data science, and STEM integration (e.g., using Python for math modeling).
Number of problems found: 18283
- 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 Because an old member has been replaced by a new.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. - Two friends 5 Two friends, X and Y. X is 36 years old and Y is 16 years. In how many years X will be twice as old as Y?
- The ages 3 The ages of A and B are in ratio of 5:4. Three years hence the ratio of their ages will become 11:9. What is the present age of B?
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - Subtracting 7
Subtracting 50 from 50% of a number we get 50 as remainder. Find the number.
- Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal? - A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share? - Train station
A man walks from his house to station. If he walks at 5 km/h he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the departure of the train. Find the distance covered by him to reach the station. - The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- Rectangle -S2
I need help calculating the area and perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
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