Maths practice for 14 year olds - page 251 of 371
Number of problems found: 7411
- Determine 6008
We will create a larger cube from 27 cubes with an edge of 2 cm. Determine the surface of the built cube.
- Remaining 6007
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
- Inequality: 6003
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).
- Supermarket 6000
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.
- Kilograms 5998
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.
- Deformed 5992
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?
- Depreciation 5990
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?
- Dimensions 5989
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.
- Kilometers 5972
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?
- According 5963
The numbers are arranged according to a specific logical order. What number should be in the blank a, b? 3, 7, 15, a, 63, 127, b
- Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out?
- Subsets
How many 19 element subsets can be made from the 26 element set?
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