Math practice for 13 year olds - page 229 of 424

Number of problems found: 8477

Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?
The bar chart
The bar chart shows the results of the math test. How many percents of pupils achieved approximately better results than the class average? Diagram: 1-10 pupils, 2-4 pupils, 3-6 pupils, 4-2 pupils, 5-4 pupils. (lowest results are better)
Two ships
Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. When will the ferry catch up with the cargo ship if it sailed 10 hours later?
Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have?
Cylinder-shaped 12761
During the experiment, water flows evenly into a cylinder-shaped container. At the end of the 5th minute of the experiment, the water level was 25% higher than at the beginning of the experiment. 0 how many percent higher will the water level be at the en
Centimeters 12741
Two race cars passed the finish line at a speed of 216 km/h at a distance of 0.003 s. Express the loss of the second in centimeters.
Retroactively 12721
Easter discounts on winter goods were 20%. By what percentage does the price have to be increased retroactively to be sold again at the original price?
The Chemistry test
The Chemistry test contained eight questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What
Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At half-past ten, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles?
Two cylinders
There are two cylinders, one with oil and one with an empty oil cylinder, with no fixed value assumed infinitely. We are pumping out the oil into an empty cylinder with a radius =1 cm, height=3 cm, rate of pumping oil is 9 cubic centimeters per sec. We ar
Trees avg
The worker planted 96 trees on Monday, 120 on Tuesday, and 61 on Wednesday. If he averaged 105 trees per day, how many trees did he plant on Thursday?
1st drug
The first drug pack has an active ingredient ratio of L1: L2 = 2:1 The second drug pack has a ratio of active ingredients L1: L2 = 1:3 Which ratio do we have to mix the two packages so that the ratio of substances L1: L2 = 1:2?
Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b?
Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters.
Blueberries collecting
Marie collects 2 l of blueberries in 1 hour. She began collecting at 8.00 PM. Joe collects 1.5 l in 1 hour. Peter collects 1 l for 1 hour. They began to gather at 08.30 PM. Together, they collect 10 l. At what time will they all be collected?
Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B

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