Examples for secondary school students
Number of problems found: 4392
- Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th - A furniture
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%? - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum. - By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price.
- Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders? - Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle. - The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area. - Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X? - The median 3
The median of the following observations arranged in ascending order is 64: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 Find the value of x.
- The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join? - Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers. - A merit scholarship
Last year’s freshman class at Big State University totaled 5,307 students. Of those, 1,264 received a merit scholarship to help offset tuition costs during their freshman year (although the amount varied per student). The amount a student received was N($
- Simple interest
At what time will the sum be doubled at 5% per annum at simple interest? - Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age? - At present
At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age? - Compound continuously
Find the balance in the account after 10 years. P= $1900; r= 6% Compound continuously. - Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers.
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