Math practice for 13 year olds - page 313 of 434
Number of problems found: 8665
- Numerically 4839
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...).
- Traveling 4836
A passenger car traveling at a speed of 60 km/h arrived from place A to place B one and a half hours earlier than a truck traveling at 40 km/h. How far apart are placed A and B, and how long did the car travel?
- Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has three times less than the weight of all three bags. Determine their weights.
- Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT.
- Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK.
- Family
Mom is 42 years old, and her daughters are 13 and 19. After how many years will a mother become as old as her daughter together?
- Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height is a tree (in meters)?
- Beginning 4820
Karel saved SKK 12,000 in the savings bank at the beginning of the year. At the end of the year, the savings bank credited him with SKK 1,680. At what annual interest rate did Karel have the deposit in the savings bank?
- Rectangular meadow
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow?
- Hectoliters 4817
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel?
- Equation: 4816
Solve the equation: 1/c - 3/(2c) = 3/4
- Collected 4815
Pupils collected a total of 42 kg of apples. Peter harvests half as much as Zuzka and Martin, a third less than Petr. How much did each of them harvest?
- Accelerating 4813
When accelerating from 0 to 100 km/h in 9.3 seconds, what distance will the car travel?
- Millimeters 4811
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm
- Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
- Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured?
- Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN?
- Earth and Sun
Earth is 150 million km away from the Sun. 300,000 km of sunlight travels in 1 second. How long will the light come from the Sun to the Earth?
- Percentages 5
$5.25 is 7 1/2% of what number?
- Railway wagon
The railway wagon holds a 75 m³ load. The wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) How much peat (density 350 kg/m3) can carry 15 wagons?
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