Math practice for 13 year olds - page 308 of 420
Number of problems found: 8400
- Number property
Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number? - Syringe and patient
In 1 ampoule of 2 ml is 15 mg of Dipidol. The patient should receive 10 mg. How much ml do I draw into the syringe? - There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Cylinder diameter
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23 dm - Steamer
At 6:40 AM, a steamboat departed from a port at a speed of 12 km/h. At exactly 10:00 AM, a motorboat set off at 42 km/h in the same direction. When will the motorboat catch up with the steamboat? - Lock combinations
Please calculate the possibility of combining three numbers, where each number can be from 0 to 9. For example, the number of combinations on the suitcase is equipped with close to three digits. - Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Pizza promotion
Thirty football players came to the pizzeria. A pizza order promotion is going on right now: "If you order 2 pizzas, get the third one free". The football players ordered so many pizzas that each one missed 1 pizza. How many pizzas did they pay for if the - Pure silver
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Apple distribution
Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have? - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Cable car altitude
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Three painters
One painter paints the school in 7 days, the other in 6 days. The school had to be painted in 2 days. A third painter was called in, and they all worked simultaneously. In how many days would this third painter paint the school by himself? - Triangle angles
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe
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