Math practice for 13 year olds - page 294 of 420
Number of problems found: 8400
- Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Two diagonals
The diagonals of rhombus EFGH are in the ratio 1:2. What is the perimeter of the rhombus if the longer diagonal is 8 cm? - Circle area
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8 cm. - Ebay is not free
Be aware of eBay - the fee is painful if you sell something expensive. There is a lot of space for classifieds and local exchange away from global eBay. Calculate the ebay+paypal fee if you sell 3037 USD laptop. The formula for eBay fee is 0,30 + 10 % of - Simple equations
Solve the system of equations: 5x+3y=5 5x+7y=25 - Grid Coloring Puzzle
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Competitors
In the first round of the slalom, 15% of all competitors dropped out, and in the second round, another 10 competitors dropped out. In total, 40% of all competitors dropped out. What was the total number of competitors? - Number line arrangement
On a number line, arrange the points corresponding to the values a, 2a, and 3a + 1 in all possible orders. For each arrangement, decide whether it is possible. If yes, give a specific example; if not, explain why. - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²? - Chess reward
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive - Finding x for Profit
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0 - Land Area from Map
What is the land area in reality if 1 cm² occupies a 1:20000 scale map? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Parallelogram perimeter
Triangle ABC has sides a = 5 cm, b = 3 cm, and c = 40 mm. K, L, and M are the midpoints of its sides. What is the perimeter of parallelogram KBLM in centimeters? - Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
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