Examples for secondary school students - page 6 of 229
Number of problems found: 4578
- The difference 9
The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers. - Stocks and bonds
Mr. Cash invested $80000 in various stocks and bonds. He earned a 7% dividend on his stocks and 5% interest on his bonds, for a one year profit (both stocks and bonds) of $4,900. How much did Mr. cash invest in bonds? - Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman? - Two workers 10 Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually.
- Three 268
Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank? - 3 pens
3 pens are to be taken from a bunch of 100 pens.If 10 pens are defective, find probability of getting all good pens. - Descent GP
Determine the 18th term of the GP whose 5th term is 1 and common ratio is 2/3.
- Daily compounded
Zachary invested $130 in an account paying an interest rate of 3.6% compounded daily, Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years? - Solve 28 Solve the following system of linear equations: x + 2y - z = -1 3x + 8y+ 2z = 28 4x + 9y + z =14
- A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - Simplify complex expr
Perform the indicated operations and write the results in the form of a + bi: (2 + 3i)³ (ii) (1 + i)⁴ - 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.
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