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: 18982
- 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. - Convert 8
Convert 5775 by 16 into a mixed fraction. - A river
A river is flowing at a speed of 5 km/h. A man can swim 20 km/h in still water. The man starts swimming from A to B, distance 30 km. After reaching B the man turn back and stop swimming after reaching point A . Find the total time. - Spherical sector - parameters
Find the volume and surface area of spherical sector whose base has an altitude of 8cm. Drawn on a sphere whose diameter is 36 cm. - Recipical fraction
5/9 divided by 8/5 recipical - Insert two > GP
If 4, 36, 324 are in the geometric progression (GP) insert two more numbers in this progression so that it again forms a GP. - According 10
According to the Board of Math Examiners, approximately 62% of people taking the Math Exam passed the exam. If 18 people who have taken the Math Exam are randomly selected, what is the probability that at least 76% have passed? Round your answer to 4 deci - The perimeter 13
The perimeter of a rectangle is 22cm. What are its dimensions if it has a maximum area? - Below zero
The temperature on Saturday was 14.5 degrees below zero. The temperature then decreased by 2 degrees. What would the temperature be after it decreased? - Local fair
Diana and 2 friends are visiting the local fair. Each person buys a hamburger for $6.60 and a drink for $3. They have a coupon for $1 off each hamburger. Write an expression to represent the total cost. - Circular track 3
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How many minutes will pass until they meet at the starting li - Hiking trails
There are 12 thousands kilometers 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 ea
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