Math practice for 13 year olds - page 303 of 413
Number of problems found: 8254
- Tablet schedule
It is Monday at 10 a.m. Luboš has returned from the doctor, who prescribed him tablets: he will take the first one immediately, the next two days he will take them after six hours, and the rest after eight hours. When will Luboš collect all the tablets if - Pyramid planting
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Painting
To paint the pool with dimensions: 2 meters depth, 3 m x 4 m we bought paint to 50 meters square. How much "paint" will be wasted? - Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Forces on earth directions
A force of 60 N [North] and 80 N [East] is exerted on an object weight of 10 kg. What is the acceleration of the object? - Hydrostatic force
What is the hydrostatic force applied to an area of 30 cm² in the water at a depth of 20 m? (Water density is 1000 kg/m3) - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Sphere radius
The surface of the sphere is 60 cm². Calculate its radius; result round to tenth of cm. - Bills count
Dad had 33 bills. One hundred crowns, two hundred and five hundred. A two-digit number gave the number of each species. How many did he have if he had a total of 9100 CZK? - Postage stamps
There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there? - Hostel rooms
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Coin count
Eve had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Weight puzzle
A + B weighs 75 kg, B + C weighs 83 kg, C + D weighs 92 kg. How much does A + D weigh? - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc? - Triangle similarity
Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm - Map scales
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Bun distribution
The two Honzos had buns. The first 6, the second 4. They split with their grandmother so that they all had the same amount. Grandma gave them 5 apples. The first wanted 3, the second wanted 2. The second wanted, on the contrary, Grandma recommended dividi - Segment length
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Chronicle cipher
From the beginning of the year, students in 4th grade wrote a chronicle. She had everything they had together, and they cared a lot about her. But one day, the chronicle was lost. Five students were left to search for everything on Monday after the class. - Socks
One pair of socks is worth CZK 27. A set of three pairs of these socks is sold with a 10% discount. How much will we pay for two offered sets of socks?
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