Examples for secondary school students - page 8 of 222
Number of problems found: 4435
- The sum of squares
The sum of the squares of two numbers is 233, and one of the numbers is 3, less than twice the other. Find the numbers.
- Mean proportional
What will be the mean proportion between 4 and 25?
- The difference 7
The difference between a proper fraction and its reciprocal is 7/12. Find the fraction.
- Bell curve
A company has a policy of retiring company cars; this policy looks at the number of miles driven, purpose of trips, style of car, and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean o
- Johnny 3
Johnny has $46,754 in a savings account that earns 14% annually. The interest is not compounded. To the nearest dollar, how much interest will he earn in 3 years?
- Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .
- PC and laptop
A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at a 20% profit and the laptop at a 10% loss. If, overall, he made a 2% profit, then find the purchase price, in rupees, for the desktop.
- 20 men
20 men are supposed to complete a work in 10 days. After working for 5 days, they realize that only one-fourth of the work is done. How many more men they need to employ to complete the work on time?
- The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles.
- Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight.
- Richard
Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number?
- Locker combination
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly?
- Multimodal or unimodal
The weights (in kg) of 13 students of a class are 37,39,33,32,41,33,37,45,43,39, 33,40,39 Find the mode & media of this data (F). Is there more than one mode?
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Third tests
Third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result.
- The median 2
Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal.
- A population
A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.
- The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item.
- Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati
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