Examples for secondary school students - page 138 of 230
Number of problems found: 4582
- Bottles
The must is sold in 5-liter and 2-liter bottles. Mr. Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles? - Equation 6513
Solve the equation (y + 5 / y-3) + (y + 3 / y-5) = 3 - Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9 - Determines 6508
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors. - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
- Subsequent 6477
We will put 900 bags in nine rows, with five fewer in each subsequent one. How many are in the first place? - Evaluation of expressions If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³
- Expression with powers If x-1/x=5, find the value of x4+1/x4
- Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)! - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Assemble 6449
How many natural numbers less than 400 can I assemble if the numbers do not repeat? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box?
- Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou - Merchant
The merchant lowered cost by 10% in December when it was not sold. Again, in January, it lowered costs by 20% and now costs 576 €. A. How much did the goods stand originally? B. How much do the goods cost after the first lowering? C. How much percent of t - Destination 6420 On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif
- Grade point average
The average GPA is 2.78, with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students have the following GPAs? Solve for the z-score and report the appropriate percentage: a. Less than 2.30 b. Less than 2.00 c. More t - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm.
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