Examples for secondary school students - page 7 of 231
Number of problems found: 4609
- My grandfather
My grandfather was 8 times older to me 16 years ago. He would be 3 times of my age 8 years from now. What was the ratio of our ages 8 years ago? - Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds. - Consumption stable
If the price of sugar rises from Rs 6/kg to Rs 7.50/kg. A person having no increase in his expenditure on sugar, will have to reduce his consumption by? - Negative term
Which term of the AP 24,21,18,15,.....is the first negative term? - The average 15
The average age of a group of four men whose ages are in the ratio of 2:3:4:5 is 42 years, what is the age of the eldest person of this group? - Rasmus
Rasmus goes from station A to station B at the speed of 40km/h and returns B to A at the speed of 60 km/h. Find his average speed. - The cost 15
The cost of a machine depreciates every year by 10% of its cost at the beginning of the year. If the present cost of the machine is USD 10000, find its cost after 2 years. - LS and y-axis intersection
In what ratio is the line segment joining P (5, 3) and Q (–5, 3) divided by the y-axis? Also, find the coordinates of the intersection point. - The coordinates 4
The coordinates of the vertices of ∆ABC are respectively (-4, -2), (6, 2) and (4, 6). Find the centroid G of ∆ABC. - Three Numbers GP
The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers. - The library
A certain number of people agreed to contribute equally to buy books worth $12000 for a school library. Five people pulled out, so others agreed to contribute an extra $100 each. Their contribution enabled them to buy books worth $ 2000 more than they ori - The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum. - The well 3
When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities. ) If a - Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - The common difference
Find the common difference of an arithmetic progression (AP), whose 1st term is 5 and the sum of its 1st 4 terms is half the sum of the next four terms. - The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions? - The co-ordinates
The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are - Walker
Walker A takes 3 hours more than B in walking 30 km. If A doubles his speed, he will take 2 h less than walker B. Find the speeds of walkers A and B . - The sum 48
The sum of a number and its reciprocal is 5.2. Find the number. - A positive
A positive number plus itself squared is 240. What is the number? Please show your work.
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