Maths practice for 14 year olds - page 249 of 368

Number of problems found: 7349

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?
Four-sided 5957
How much m² of the galvanized sheet is used to cover the roof of the tower, which has the shape of a four-sided pyramid, whose base edge is 6 m long? The height of the tower is 9m. When covering, is 5% metal waste expected?
Original price
The dress was reduced by 20% and, after another six months, by another 5%. It now costs 38 EUR. What was the original price of the dress?
Fifty-six 5943
Fifty-six seconds have already elapsed from the music recording, which was 14% of the total duration of the recording. How long the recording will still last.
R1+R2 in parallel
The resistance ratio of the first and second resistors is 3:1, and the current flowing through the first resistor is 300 mA. What current flows through the second resistor (resistors connected in parallel)?
Resistance 5939
If the resistance of the first resistor is 200 ohms and the resistance of the second resistor is 600 ohms. What will be the ratio of the electrical voltage across the first resistor to the electrical voltage across the second resistor (both are connected
Resistance 5938
If the resistance of the first resistor is 100 ohms and the voltage ratio on the first and second resistors is 2:1. What will be the resistance of the second resistor connected in series?
Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse.
Minutes 5934
The thief stole Peter's bike and rode it down the road at 25 km/h. Peter's older brother saw it in half a minute and caught up with the thief in 5 minutes on the second lap. How fast must Peter's brother have been driving?
Individual
On the hill behind Terchová, there is a sheepfold and a shepherd lives in it. He divided two hundred of his sheep into 4 groups in a mysterious way: If he had 4 more sheep in the first group, 4 fewer in the second, 4 times more in the third, and 4 times l

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