Examples for secondary school students - page 152 of 230
Number of problems found: 4582
- Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Average speed 4
Starting at home, Tony traveled uphill to the store for 45 minutes at 8 miles per hour. he then traveled back home on the same path at a speed of 24 miles per hour. What is his average speed for the entire trip? - Cuboid height
What is the cuboid's height if its base edges are 15 cm and 4 cm long and its volume is 420 cm cubic? - Coefficient 5080
A body weighing 150 kg pulls with a force of 375N. What is the coefficient of friction? - Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - Roof 7
The roof is a regular quadrangular pyramid with a base edge of 12 m, and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m² of the plate was?
- Equations 5070
Solve in RxRxR a system of 3 linear equations with three unknowns: 1/2 x + 3/4 y = 6z 2x-z = 10 1/2 2z + x = 2y + 7 note: / is a fraction line - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm? - BTC bubble
One of the world's experts in bubbles -- Prof. Robert Shiller, a Yale economist -- said Bitcoin "was an amazing example of a bubble" back in 2014. If you exchanged fiat US dollars $100 to BTC in 2010, now in 2017, have a value of 72.9 million dollars. Fin - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Possibilities 5058
Adamko is two years old and does not want to clean his toys. One night, the toy fairy came to his room and saw legos, a police car, blocks, and a train lying on the floor. The fairy decided to take 3 toys from Adamko. How many choices does a trio of toys - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Tableau pyramid
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the - Regularly 5036
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a
- Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Different 5030
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day? - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Test - questions
You have a test with eight questions, where you can choose from 3 answers for each question, and one answer is always correct. The probability that we answer 5 or 6 questions correctly when randomly filling in (that is, we all guess the answers) is ……. Th
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