Examples for secondary school students - page 71 of 232
Number of problems found: 4622
- Free fall 5
Jeremy accidentally dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground at a velocity of 16.0 meters per second. At impact, it took 2.0 seconds for the toy's velocity to reach 0 meters per second. I - Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the - Saving in January
On the 1st of January, a student puts $10 in a box. On the 2nd, she puts $20 in the box, and so on, putting the same number of 10-dollars notes as the day of the month. How much money will be in the box if she keeps doing this for a) the first ten days of - Arithmetic progression 2 The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
- The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years? - Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A - Maturity value IKEA Furniture can purchase furniture with a three-year simple interest loan at 8% interest per year. What is the maturity value of a 3500 loan?
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Binary words How many 10-bit words can be created with precisely four units (e.g., 1111000000)?
- Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically. - Find quadrant
Point Y is located at (4, -2) on a graph. Point Z is located five units to the left of Point Y. In which quadrant is Point Z located? - Four bicycles
In the department store, they sell bicycles for families with children. Women's bicycles are 10% more expensive than men's, and children's bikes are a third cheaper than women's. The family paid a total of CZK 31,030 for two children's, one man's, and one - The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Fabric purchase
The tailor's salon bought 130 meters of fabric for € 1,037. The meter of the first fabric costs € 8.90, and the meter of the second fabric costs € 7.40. Thus, they bought 130 meters of fabric for € 1,037. - Sleep vs. watch TV time
Using a data set relating to the number of episodes I watch on TV in a day (x) versus the number of hours of sleep I get that night (y), I construct the linear model y=−0.6x+11 Which of the following general observations can you make from this model? a) I - Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Locomotive pressure
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Arithmetic sequence filling Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11)
- Tangens parallelogram
If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4)
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