Examples for secondary school students - page 7 of 229
Number of problems found: 4578
- 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.
- 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.
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