Examples for secondary school students - page 5 of 231

Number of problems found: 4611

Impurity - glycerine
A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure glycerine should be added to reduce impurity percentagerity to 5%.
Usual speed
If the usual speed is reduced by 5 km per hour, a train takes 2 hours more to cover a distance of 300 km. Find the usual speed.
Common difference
What is the common difference of an AP (arithmetic progression) in which a₁₈ – a₁₄ = 32
Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million?
Milk with water 2
If 50 liters of a mixture contains milk and water in a ratio of 3:2, how much milk must be added to the mixture to have milk and water in a ratio of 9:4?
The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C.
Speed Adjustment
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed?
A town 3
A town with 12,000 people has been growing at a rate of 2.5% per year. How many years ago was the population 8,000?
Two men
Two men earn in the ratio 5 : 3 and expend in the ratio 9: 5. If each saves 30000 USD every year, find their income.
The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers.
The airlines
The airline's company is interested in decreasing the waiting time spent by customers while buying air tickets. So, the relationship between waiting time "y" in minutes and the number of counters "x" operating to sell tickets has been studied (Marks 6) Th
A sum 6
A sum at simple interest of 4% per annum amounts to 3120 USD in 5 years. Find the sum.
4th digit
Write a digit in place of X so that 85X634 is divisible by 11.
A solution 2
To a solution of 30 litres containing 90% alcohol, how much water must be added to so that the alcohol becomes 80%?
A train 5
A train travels from Brno to Aš at a speed of 45 km/h and returns back at a speed of 36 km/h. Find the average speed of the train.
A train 4
A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train.
A boat 4
A boat travels 25 km upstream in 5 hours and 25 km downstream in 2.5 hours. If the boat increased its speed by 3 km/h, it would take 1 hour less to travel the downstream distance. Find the speed of the stream.
Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
One kilometer race
In a 1 km race, student A beats student B by 48 meters or 12 seconds. Find the time taken by student A in this race.
Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN.

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