Math practice for 13 year olds - page 112 of 415
Number of problems found: 8286
- Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4 m and an edge of the base of 6 m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Dividing money
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece - Poster ratio reduction
I will reduce the poster with sides of 2.4 m and 1.6 m in a ratio of 3:8. What are its new dimensions? - Add quarter to a number
What is the total of 80 plus 1/4 of 120? - Box wrapping paper
Mother and daughter Susan are wrapping presents for father. Matt has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Susan has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in t - Triangle side possibilities
Which three lines of a given length can be three sides of a triangle? A / 42 mm; 22 mm; 12 mm; B / 5 cm, 50 mm, 6 cm; C / 10 m, 5 m, 50 dm; D / 2.1 cm, 4.2 cm, 1.9 cm - Prism grid sketch Sketch a grid of a quadrilateral prism with a rectangle of 1 cm x 3 cm and a height of 5 cm.
- Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Triangle perimeter ratio
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides. - An airplane 2
An airplane left Changi International Airport at 9 PM and flew 5841 km to Dubai International Airport. If the airplane flies at an average speed of 649 km/h, what is the plane's arrival time? A) 6 AM the same day B) 8 AM the same day C) 6 AM the next day - Quarter of unknown number
If we subtract a quarter of a number from the number 12, we get the number -5. What's that number? - Digits - numbering
We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Steel wire resistance
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m. - Parallelogram angle size
How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others? - Dice even probability
We roll the dice twice. What is the probability that if an even number falls for the first time, the even number will fall a second time? - Triangle angle ratio
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Submerged cork body
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C - Two-digit number creation
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if we cannot repeat the digits in these numbers? - Line ratio division
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm? - Father son painting
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself?
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