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: 18997
- The product 19
The product of two consecutive positive integers is 306. Find the integers. - The book 6
A boy read 3/8th of a book on one day and 4/5th of the remainder on another day . If there were 30 pages unread, how many pages did the book contain? - Ratio of acid and water
In a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2 then the amount of water to be added: - Three angles
Find all missing values of angles using the Law of Cosines if given all sides: a=12, b=13, and c=20 - Distance - number line
What is the distance between -93 and 114 on a number line? - Simple interest pa
If a sum of money at a rate of simple interest, doubles in 8 years, then it will become 3 times in how many years? - Reading newspaper
40% of the people read newspaper x and 50% read newspaper y, and 10% read both the papers. What percentage of people read neither of the newspapers? - Inflation again
If the value of commodity increases by 85%, what percent should consumption be reduced so that spending increases by only 48%? - 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, C will beat B by how many meters? - 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 age of the man. - Two terms and d
The 8th term of an AP is 17 and its 14th term is 29. Find the common difference of the AP. - Motorboat : current
The ratio of speeds of a motorboat to that of the current of water is 36:5. The motorboat goes along with the current in 5h 10min. Find the time to come back of the motorboat. - Father and son
Age of father is 5 times the age of his son. After 10 years, age of father will be 3 times the age of son. Find the present age of both of them . - Walking speeding
Susan walks from her home to office at 16 km/h, she is late by 5 min. If she walks by 20 km/h, she reaches 10 min before the office time. Find the distance of her office from her house. - Common work 2
Person A works twice as fast as person B. If both of them can together finish a piece of work in 12 days then person B alone can do it in how many days? - Amusement park.
A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking is $16.75, and tickets cost $32.75 per person, including tax. Write and solve an equation which can be used to determine the number of peopl - Soccer team trip
Members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. Using equation or tape diagram find the number of players the team can bring to the tournament. - 20% percentage If 20% of A = 50% of B, what percentage of A is B?
- Three legs journey
A train runs for 3 h at the speed of 40 km/h and then for 4.5 h at the speed of 60 km/h.Thus it covers 3/5th part of the whole distance. It wants to cover the remaining distance in 4 h, find the average speed of the train for remaining distance. - ABCD rhombus
ABCD is a rhombus with sides 10.5cm. If the length of the diagonal AC=15.8cm, using cosine formula. a. calculate the length of the diagonal BD correct to the nearest cm b. the angles of the rhombus to the nearest degree.
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