Examples for secondary school students - page 9 of 237

Number of problems found: 4731

AVR - three friends
$2250 is divided among three friends, Ajay, Vijay, and Raj, in such a way that 1/6th of Ajay's share, 1/4th of Vijay's share, and 2/5th of Raj's share is equal. Find Ajay's share.
Compound vs simple interest
Calculate the difference between compound interest and simple interest in USD 7500 in two years at 8% per annum.
The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.
Fish service
According to a report by the U. S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska = 484.6 millimeters with a standard deviation = 31.2 millimeters. Assume these lengths are normally distributed. What
Per annum
At a certain time, a sum becomes 4 times at the rate of 5% per annum. At what rate of simple interest the same sum becomes 8 times in the same duration
Numerators and denominators
A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction.
Person A,B
Person A takes 3000 USD from person B for 2 yrs at the rate of 10% half yearly interest. What amount will be paid by person A to B after the end 2 yr?
The angles 6
If the angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle.
Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
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?

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