Math practice for 13 year olds - page 120 of 415

Number of problems found: 8285

Peter Pavel age
Peter was twice as old as Paul. 4 years ago, Peter was three times as old than Paul. 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 4 cm 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?
Freezer volume percentage
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?
Dress color probability
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 construction sides
Construct triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 °
Circle waste percentage
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted?
PIN code options
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.
House number divisibility
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
Isosceles triangle construction
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.
Stone transfer power
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?
Sound triple creation
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram.
Quadrilateral ABCD
Construct a quadrilateral ABCD if AB = 10 cm, AD = 6 cm, DC = 6.5 cm 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 a T-shirt and a skirt if she doesn'
Four-digit number creation
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?
Skate discount price
Skates have fallen by 36% after the winter season on sale. Their price after the discount was 48 euros. What was the original price?
Diamond area perimeter
What is the area and circumference of a diamond whose diagonals are 7 dm, 12 dm in length, and 6 dm in height?
Stool cover fabric
Susan has an old stool shaped like a cube with an edge length of 80 cm. She wants to sew a new cover for it. How many square metres of fabric does she need, allowing an extra 15% for stitching and folds?
Exam question probability
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?
Bike discount increase
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?

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