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: 19049
- Runners 5
Ahmed runs for 4 1/2 hours a day, and Heba runs for 3 1/4 hours a day. What is the difference between the time they both run? - Ten percent
Find 10% of $4. Explain - Moving boxes
Karen is moving into a new house. She has a lot of books to pack in small moving boxes. The dimensions of one small moving box are: base 1 ft × 4 ft, side height 2 ft, and depth 3/4 ft. What is the volume of the small moving box? - Elimination method
Use the method of elimination to solve the following simultaneous equations. 5a − 2b = 14 2a + 2b = 14 - Flag Shop
Of the flags in Philip's Flag Shop, 1/10 are orange and another 3/10 are blue. What fraction of the flags are either orange or blue? Write your answer as a fraction or as a whole or mixed number. - Shipping problem
Paul works in the shipping department of a toy company. He sends toys in boxes, each in the shape of a rectangular prism with whole-number dimensions in inches. Paul needs a box with a total volume of 24 cubic inches. Find one possible combination of leng - At midnight
The outside temperature at midnight was 3.4 °C. The temperature then changed at a constant rate of −0.78 °C per hour for 8 hours. What was the outside temperature at 8:00 AM? - Piece of land
A farmer has a piece of land in the shape of a parallelogram. The two adjacent sides measure 15 metres and 10 metres. How much fencing is needed to enclose the entire plot? - The product 19
The product of two consecutive positive integers is 306. Find the integers. - The book 6
A boy read 3/8 of a book on one day and 4/5 of the remainder on another day. If there were 30 pages still unread, how many pages did the book contain? - Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - Three angles
Find all missing angle values using the Law of Cosines, given all three 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 doubles in 8 years at simple interest, in how many years will it become 3 times the original amount? - Reading newspaper
40% of people read newspaper X, 50% read newspaper Y, and 10% read both newspapers. What percentage of people read neither newspaper? - Inflation again
If the price of a commodity increases by 85%, by what percentage 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, by how many metres will C beat B? - 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 man's current age. - Two terms and d
The 8th term of an arithmetic progression is 17 and its 14th term is 29. Find the common difference. - Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream.
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