Math practice for 13 year olds - page 401 of 413
Number of problems found: 8260
- Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in the ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration? - Bath
There are 30 liters of hot water in the bath. Then we added 39 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 45 °C. What was the initial temperature of the hot water? - Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color? - Warehouses
To four warehouses is going cement in 50 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 120 tons came to fourth. How much cement is in all warehouses, and how much got everyone? - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Tape
Video is 199% more expensive than a tape recorder. How many percent is a tape recorder less expensive than a video? - Spherical cap
From a sphere with radius 26, a spherical cap was cut. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - Elections
The elections attended a total of 1450 voters. First-day 48 men more than women, the second-day 16 women more than men. How many women attended elections? - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Troops
The route is 175 long km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t - Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza? - 2x cone
A circular cone of height 36 cm is cut by a plane parallel to the base, dividing it into two smaller cones of equal volume. Calculate the height of the smaller cone. - Pediatrician
Pediatrician, this month of 20 working days takes 4 days holidays. What is the probability that it will be at work on Monday? - Work
The first paving machine can pave a pavement in 28 hours, and the second in 26 hours. The first machine started working, and after 2 hours the second machine joined it. How long after the second machine starts will they finish the job together? - Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Rectangle
In rectangle ABCD with sides |AB|=19, |AD|=19, a perpendicular is drawn from point A to diagonal BD, meeting it at point P. Determine the ratio r = (|PB|)/(|DP|).
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