Maths practice for 14 year olds - page 182 of 361
Number of problems found: 7217
- Barrel capacity calculation
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel? - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - School attendance percentage
In 5 A class today, there were four pupils, and in 5B, there were two pupils. What percentage of Fridays was in school if 21 pupils attend 5 A and 5B is six pupils more? - Reward
Janko and Peter divided the reward from the brigade so that Peter got 5/8 of the reward. What percentage of Janko's reward got? - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - Steps
Find the height between the two floors if you know that the number of steps between the two floors is 18, the gradient is 30º, and the step length is 28.6 cm. Report the result in centimeters to the nearest centimeter. - The presentation
The travelers' presentation came with three times as many men as women. When eight men left with their partners, there were five times more men than women at the presentation. How many were men and women originally? - Orchard tree calculation
The orchard contained 50% cherries, two-fifths apple trees, and five pear trees. How many trees were there? - Wines
Eleven liters of white wine and eight liters of red wine cost a total of 1315 CZK. 1 liter of white wine was 10 CZK cheaper than a liter of red wine. How much is 1 liter of white and how much red wine? - Alcohol mixing
How much must 64% of the alcohol be poured into 6 liters of 85% alcohol to produce 79% alcohol? - Rectangle circumference calculation
A: b = 3:4 rectangle side length a = 6 cm what is its circumference - Candy mixture calculation
How many kg of red candies at the price of CZK 65 per 1 kg must be added to 5 kg of blue sweets at the cost of CZK 140 per 1 kg when the price of the mixture should be CZK 120 per 1 kg? - Hiking trail
The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest, and the remaining 9 km along the river. How long is the train? - Vote percentage calculation
Pictured is a pie chart showing how the four mayoral candidates are doing after 80% of the vote has been counted. A candidate ID no can theoretically obtain the maximum percentage of votes. 3 after counting all the votes? - Body fall calculation
The body landed on Earth in 9 seconds. Find from what height it fell and what its speed was on impact. - Swing equilibrium calculation
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest. - Dress price reduction
The dress costs 250 euros. Its price was reduced twice, first by 10% and then by 20%. What is the price of the dress? - Worker production calculation
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. - Cyclist pedestrian pursuit
Cities A and B are 42 km apart. A pedestrian exits city A at a speed of 6 km/h in the opposite direction to city B. 30 minutes later, and a cyclist exits B following the pedestrian at a speed of 24 km/h. How many hours does the cyclist reach the pedestria
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