Examples for secondary school students - page 192 of 237
Number of problems found: 4730
- Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - Cyclist
The cyclist rode two-fifths of the way the first day. On the second day drove 5 km less while traveling three-eighths of the route. How many kilometers does he have to finish the target? - Product inspection
The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day? - Inscribed circle
Write the equation of the inscribed circle of triangle KLM if K[2, 1], L[6, 4], M[6, 1]. - Line equation
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Vector triangle
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Trapezoid angles
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Rhombus area
Calculate the area and height of the rhombic cover plate to which the following applies: d (BC) = 60 cm, angle BAD = 45 °, angle ADB = 90 °. - Intersections with axes
Calculate the x- and y-intercepts of the function h: y = 4/5x-3 - Left-handed writer
Eve, Lucy, Barbara, Ivy, and Sylvia are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Sylvia is left-handed and, therefore, always wants to sit on the left side of the table? - Road drop
A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane? - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Stock materials
The company has an actual stock of materials of EUR 1,568,900, of which 8.6% is accounted for by excess stock. How much is Eur? - Penalty fine
The supplier charged the customer a fine (penalty) of 6.5% of the price of the goods. The uncollected goods at the price of EUR 15,500. How much is Eur?
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