Examples for secondary school students - page 8 of 231
Number of problems found: 4613
- 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? - Numbers at ratio 2 Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers.
- AVR - three friends
$2250 is divided among three friends, Ajay, Vijay, and Raj, in such a way that 1/6th of Ajay's share, 1/4th of Vijay's share, and 2/5th of Raj's share is equal. Find Ajay's share. - Compound vs simple interest Calculate the difference between compound interest and simple interest in USD 7500 in two years at 8% per annum.
- The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides. - Fish service
According to a report by the U. S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska = 484.6 millimeters with a standard deviation = 31.2 millimeters. Assume these lengths are normally distributed. What
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