Math practice for 13 year olds - page 113 of 421

Number of problems found: 8404

Isosceles 67744
Two isosceles triangles have the same angle at the vertex opposite the base. The first one has a base of 12 cm and a leg of 9 cm. The other has a 16 cm long base. Calculate the perimeter of the second triangle.
Measuring 67734
The candle is shaped like a block measuring 3 cm, 4 cm, and 5 cm. If we gradually enlarge one, two, and all three edges twice, how many times is more wax used to make a candle?
Corresponding 67714
The quadrilateral prism has a volume of 720 cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm.
Relative motion
The boat moves along the river at a speed of v1 = 5km/h and upstream v2 = 2km/h What is the current P's and boat L's speed relative to the water?
Completely 67674
A) Can the maximum number of sugar cubes with a volume of 3375 cubic mm fit in a new cube-shaped sugar bowl with internal dimensions of 12 cm, 6 cm, and 3 cm? B) Mom poured sugar cubes into the new sugar bowl, filling it completely. She estimated that the
Rectangular 67604
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur
Peter 67584
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now?
Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid?
Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?
Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume?
Probability 67544
Anna has four different colored pullovers and three different colored skirts. What is the probability that she will have a red pullover and a blue skirt in a random dress if we know that she has them in her wardrobe?
Triangle 67504
Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 °
Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted?
Four-digit 67444
Emil forgot the PIN for his payment card. It knows that it is four-digit, starts with 1, ends with 2, and does not repeat digits; its digit sum is 15. How many such codes are there? List all the options.
Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
Transfers 67414
At 80 cm above the road, a person transfers a stone weighing 2 kg parallel to it in a uniform motion along a path of 6 m in 10 s. With what power does it work?
Triples 67394
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram.
Quadrilateral 67384
Construct a quadrilateral ABCD if AB = 10cm, AD = 6cm, DC = 6.5cm and angle BCD = 90 degrees
Single-colored
Diana is going to a party. She can't decide what to wear. She has 4 T-shirts (white, blue, pink, and purple) and 5 skirts (black, white, pink, green, and brown) to choose from. In how many different ways can she combine the T-shirt and skirt if she doesn'

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