Math practice for 13 year olds - page 414 of 427
Number of problems found: 8533
- IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get? - Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field? - Rhombus
Internal angles of a rhombus are in the ratio 2:5. How many times is the shorter diagonal longer than the side of the rhombus? - n-gon
Gabriel draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 120° biggest 160°. How many sides have Gabriel's n-gon? - Sea water
Mixing 63 kg of seawater with 43 kg of rainwater produces water containing 2.7% salt. What percentage of salt does the seawater contain? - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Ski course
From 96 children who participated in the ski course were 21 excellent skiers, 30 good and 13 average and the rest were beginners. Calculate this data in percentages. - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get? - Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be? - 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?
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