Maths practice for 14 year olds - page 171 of 375
Number of problems found: 7500
- The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive? - In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - Five letters
How many ways can five letters be arranged? - Car perpendicular distance
How far apart would two passenger cars be after 2 hours of driving if they left the same garage on two perpendicular paths, one going at 82 km/h and the other at 104 km/h? - Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together? - Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage. - Bulb resistance calculation
The small bulb's socket has a reading of 6.3V/0.3A, which applies to its filament when the bulb is on. Determine the electrical resistance of the fiber under the given condition (the temperature of the fiber corresponds to about 2800°C) - Short-circuit and fuse
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Find: 1. source terminal voltage, 2. the internal resistance of the source, 3. maximum short-circuit cur - Boy percentage calculation
The school has a total of 76 pupils in the 7th grade. There are 34 girls. What percentage of boys go to 7th grade? - Chimney height calculation
The heating plant sees the observer standing 26 m from the bottom of the chimney and seeing the top at an angle of 67 °. Thus, the chimney of the heating plant is how high? - Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips? - The dealer
The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May? - Hen hare puzzle
There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares? - Price reduction
The product is sold for 360 CZK, and the sales profit is 30%. If I reduce the product's price by 10%, what percentage will the sales profit be reduced? - Geometric sequence members
The first term is 5 in a geometric sequence, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence. - Company employee calculation
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h - Energy consumption
The device is connected to 230V and draws a 3.5A current. Power consumption is 1932kJ. How many minutes has this device been in operation? - The bases
The bases of the isosceles trapezoid ABCD have 10 cm and 6 cm lengths. Its arms form an angle α = 50˚ with a longer base. Calculate the circumference and area of the ABCD trapezoid. - Worker reward distribution
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get? - Worker reward distribution Three co-workers earned a total of CZK 4,720 for repair work. They split the money so that the first got 20% more than the second, and the third got 50% more than the second. Thus, everyone got CZK 4,720.
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