Examples for secondary school students - page 4 of 232
Number of problems found: 4621
- Usual speed 2
A passenger train takes 1 hour less for a journey of 120 km if its speed is increased by 10 km/h from its usual speed. What is its usual speed? - Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall building is 45°. A flag is hoisted at the top of the building, and the angle of elevation of the top of the flagpole from A is 60°. Find the length of the flagpole and the dist - A furniture
A furniture dealer bought a dining set for $12,000. At what price should the dealer sell this set, offering a 5% discount while still making a 10% profit? - A variable
A variable rectangle has a constant area of 35 cm². Find the side lengths when the perimeter is at its minimum. - By selling
By selling an article for $21, a trader loses a percentage equal to the cost price of the article. Find the cost price. - Scholarship 3
The ratio of boys to girls in a school is 3:2. If 20% of boys and 25% of girls are scholarship holders, find the percentage of students who are not scholarship holders. - Two circles 3
Two circles are inscribed in a square with a side of 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 in its: a) volume, b) curved surface area. - Monthly income
There are three workers: X, Y, and Z. The average monthly income of X and Y is $5,050. The average monthly income of Y and Z is $6,250, and the average monthly income of X and Z is $5,200. What is the monthly income of X? - The median 3
The median of the following observations arranged in ascending order is 64: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 Find the value of x. - The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Work in factory 45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
- Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers. - A merit scholarship Last year’s freshman class at Big State University totaled 5,307 students. Of those, 1,264 received a merit scholarship to help offset tuition costs during their freshman year (although the amount varied per student). The amount a student received was N($
- 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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