Examples for secondary school students - page 8 of 237

Number of problems found: 4732

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 24 cm², 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.
PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
What will
What will be the average of the numbers from 1 to 51?
A piece of work
12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work?
X and Y
X and Y are positive integers. If X+Y+XY=32, what is the difference between X and Y?
The population 4
The population of a city is decreasing at a rate of 2% per year. The population in 2002 was 700,000. What would be the population in 2009?
Two numbers at a ratio
If 1.5x = 0.04y, then find the value of {(y - x)/(y + x)}.
The sum 47
The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers.
Series - double GP
In the following series, which number will replace the question mark? 4, 32, 16, 128, 64,?
The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP.
A boat
A boat covers 20 km in an hour downstream and covers the same distance in 2 hours upstream. Then, find the speed of the boat in still water and the speed of the stream.
Interest over time
If certain sum at compound interest becomes double in 5 years, then, in how many years, it will be 16 times at the same rate of interest?
An apple 2
An apple tree was planted two years ago. It increases at the rate of 20% every year .If at present, the height of the tree is 540 cm, what was it when the tree was planted?

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.