Math practice for 13 year olds - page 293 of 420
Number of problems found: 8399
- Motorcycle speed
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has the shape of a rhombus with a side 20 m long. One diagonal is 32 meters. What is the second diagonal? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Gymnasium - classes
Half of the 9th-grade students want to study at secondary technical schools, a quarter at vocational schools, a sixth at gymnasiums, and 3 students do not wish to continue their studies. How many pupils are there in the class? - Daughter and father
"My daughter will be x years old in x²," said Elise's father in 1991 at her birthday party. a) When will the said event occur, and how old will Elise be at that time? b) In what year was Elise born? c) How old was Elise in 1991? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube at a scale of 1:2. - Tax price
The product, burdened with 20% taxes, was sold for 600 CZK. How much would you sell for 10% of taxes? - Cube measurements Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Crates of apples
Martin tore three and a half crates of apples in two and a quarter hours. How many crates will it tear in one hour? How long will he have to tear to meet the daily standard of 10 crates? - Crumbs Brought by Ants
In the evening, four ants counted the crumbs they had brought. The first ant had 1.5 times as many as the second, the second ant had half as many as the fourth, and the third ant had twice as many as the second. They had 26 crumbs in total. How many crumb - Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156 kg. How many kilograms does each girl have? - Divisible number
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove - Unknown numbers
The sum of two consecutive natural numbers and their triple equals 92. Find these numbers. - Substitution
Solve equations by substitution: x+y= 11 y=5x-25 - Clock angle
What angle do the clocks make at 4:30? - Running track
To the Akčesú races there came 25 runners. The running track was however narrow, and therefore always only five runners could run at once. What surprised Sára and Arthur the most however was the fact that the Te-TiVá people do not have stopwatches, nor ot - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl
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