Math practice for 13 year olds - page 112 of 419

Number of problems found: 8368

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'
Percentage 67364
Create all four-digit numbers in which 0, 2, 5, and 9 are not repeated. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even?
Discount 67354
Skates have fallen by 36% after the winter season on sale. Their price after the discount was 48 euros. What was the original price?
Considering 67324
Susan has an old stool - a cube with an edge length of 80 cm. She wants to sew a new cover for her. How many square meters does the fabric consume, considering adding 15% for stitching and folds?
Probability 67264
The teacher has 20 questions, from which the student chooses two on the exam. The student learned 10 questions well, 6 partially, and 4 not at all. What is the probability that he will get both questions he knows well?
Accessories 67224
Peter chose a bike for €750 in a bike shop. With accessories, its price increased by 10%. As the store had a summer sale, Peter received a 10% discount on the purchase price. How many euros did he pay for the purchase?
Perpendicular 67174
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm

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