Maths practice for 14 year olds - page 252 of 375
Number of problems found: 7493
- Container sand weight
A metal container with sand weighs 1.4 tons. If we remove part of the sand, then the rest of the sand, which is 24% of the original amount, together with the metal container, weighs 1.1 tons. a) What is the weight of the container? b) How many tons of san - Fruit juice
Fruit juice contains 37.5% sugar. How much percent of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg) - Tree planting
In the forest nursery, children planted new trees for 3 days. They planted a total of 84. On the second day, they planted 75% of what they did on the third day. On the first day, they planted exactly one-third of all planted trees. How many trees did the - Cube Surface from Smaller
We will create a larger cube from 27 cubes with an edge of 2 cm. Determine the surface of the built cube. - Leaves Fall Four Days In the park, one-third of all the leaves on the trees fell on the first day. On the second day, a quarter of what remained on the branches fell, and a third of the remaining leaves on the third day. Half of the leaves were blown off the trees on the fourt
- Ruler and compass
Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°. - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - Odd integer inequality
Determine the three odd integers that solve the inequality: -x> 6 - Perimeter triangle
In the triangle ABC, there is a side c = 5cm and medians ta = 6cm (median to side a), tb = 4.5cm (median to side b). Find the perimeter of the triangle ABT (T = center of gravity). - Double Discount Final Price
The goods, whose original price was CZK 1,200, were discounted twice. First by 15%, later by 10% of the new price. Find the final price and the percentage by which the supermarket discounted the goods in total. - Water Tank Empty Weight
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr - Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Large Cube Surface Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface?
- Car Depreciation Over Years
The price of the car was € 15,000. What will be the price of a car with an annual depreciation of 1% in 8 years? - Cost of Granite Pedestals
The owners of the ornamental garden decided to beautify the entrance to the garden with two granite plinths composed of a prism and a sphere. The sphere has a diameter of 56 cm; the prism has dimensions of 60 cm, 60 cm, and 150 cm. How much will the owner - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Meat loses
Meat loses 18% of its weight by smoking. How much raw meat does the butcher use to manufacture 35 kilos of smoked meat? - The price
The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €? - Construct
Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long. - Catching Up on Trip
Pavlina went on a trip on a hiking trail at an average speed of 4 km/h. Dalibor followed her an hour later and hurried at a speed of 7 km/h. How many kilometers does Dalibor cover before he catches up with Pavlina?
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