Maths practice for 14 year olds - page 44 of 376
Number of problems found: 7503
- Hotel Room Capacity
The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds? - Distance
If Danka increases her walking speed by 1km/h, she will cover a distance greater than 20 km in 4 hours. If she decreases her speed by 1km/h, she will not cover more than 20 km in 5 hours. At what speed did Danka walk? (s=v. t;s- distance, v- speed, t- tim - Men in Police Department
30 women work in the police department, representing 60% of the workforce. How many work in the men's department? - Distance to Aircraft
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters. - Circumscribed triangle
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm. - The chord - angle
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment. - Perimeter of a circle segment
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - Total Survey Participants
Two thousand three hundred twelve participants responded positively to the survey question, which is 68% of the total survey participants. Determine the total number of participants in the survey. - Dividing Chocolate Fairly
Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her g - Cuboid Edges from Surface
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct. - Previous Monthly Production
As a result of an increase in labor productivity by 15%, the company began to produce 920 products per month. How many products did he produce per month before? - Goalie Saves Percentage
The hockey goalie got 6 goals for the match. The success rate of his interventions was 80%. How many shots did he catch per game? - Dividing Number Proportionally
Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply. - Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Equilateral shell The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³?
- Production Increase Percentage
The company's monthly production increased from 352 products to 528 products. So, by what percentage did the original monthly production increase? - Cuboid Volume from Surface
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long
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