Maths practice for 14 year olds - page 299 of 362
Number of problems found: 7231
- 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. - Atmospheric pressure
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be? - Three equations
Solve the following set of equations with three unknowns. 3x + 2y + 3z = 110 5x-y-4z = 0 2x-3y + z = 0 - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Fraction denominator
Write a fraction with a denominator of 200 greater than 0.39 and less than a two-fifths fraction. Write its numerator x. - Unknown number
Find an unknown number: (9 + y) x 6 = 12 x 7 y =? - Big number
Dagmar typed numbers on the computer (without spaces) 45678910111213141516... Which number did she write in the third place? The digits of this large natural number are assigned natural numbers from four 4-5-6-7-8-9-10-11-12-13-14-15 etc. - without dashes - Class trip
Until VII. B class girls and 15 boys. All the girls and 13 boys went on a trip. It was a total of 92% of the students in the class. How many girls go to VII? B? - Grandchildren ages
When asked: "How old are your two grandchildren?" the grandfather answers: "If I add their sum to the product of their ages, I get 14." How old are the grandfather's grandchildren? Consider only whole years. - Draw
An old man is a beekeeper and wants to divide honey between his three grandsons. He has seven identical jars full of honey, seven jars half-filled, and seven empty jars. How should he divide the jars (without spilling) among the grandsons so that each get
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