Maths practice for 14 year olds - page 298 of 361
Number of problems found: 7214
- Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Ships
1. The Greek ship leaves at 6 and carries coffee. 2. The middle ship has a black chimney. 3. The English ship leaves at nine. 4. The French ship is to the left of the ship that carries coffee and has a blue chimney. 5. To the right of the ship carrying co - Probability - pupils
There are 18 girls and 13 boys in the class. Four pupils will be chosen by lot to supervise the breaks. What is the probability that it will be the boys themselves? - Truncated cone
A truncated cone has bases with 40 cm and 10 cm radiuses and a height of 25 cm. Calculate its surface area and volume. - Drying apples
By drying, apples lose 85% of their weight. How many kgs of dried apples are from 820 kilograms of fresh apples? - Ascent and descent
The car goes 114 km of track, consisting of ascent and descent at 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume. - Expressions with a variable
Write using an expression with a variable: a/ In a brickworks they produced in 6 days m bricks. In one day they produced on average ... b/ For an exercise n rows of 40 exercisers lined up. In total there exercised ... c/ A car travelled in 3 hours s kilom - Three drivers
Three drivers driving in the same direction found that they had the same amount of gasoline. The first is enough to go 6 km, 4 km, second and third 3 km. Gasoline they divided, so all three just drove to the nearest petrol station. How many km away was a - Trapezium ABCD
The figure shows ABDC is a trapezium in which AB || CD. Line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5 m and AP=BQ=1.8 m, find the lengths of AC, BD, RN, and LM. angle D=angle C=60 - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm. - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Unknown number
Determine the unknown number, which doubles its fourth square and is equal to the fifth square. - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Triangle KLB
It is given an equilateral triangle ABC. From point L, the midpoint of the side BC of the triangle, it is drawn perpendicular to the side AB. The intersection of the perpendicular and the side AB is point K. How many percent of the area of the triangle AB - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the - Rectangle area
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Circle removal
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent.
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