Maths practice for 14 year olds - page 130 of 361
Number of problems found: 7214
- Triangular land
Jane has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be? - Factorial cancellation
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8! - Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm. - Triangle side drawing
Draw a right triangle with side a = 5 cm, c = 8 cm. The right angle is at vertex C. What is the size of side b? - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, the height of trapezium v = 3.7 cm, and the height of the prism h = 5 cm. - Three pillars
On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Walter see each pillar if it is 30 m from the first and his eyes are 1.8 m high? - Carousel for children
There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2 m? - Two similar
There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18 cm. - Lodge view angle
The observer lies on the ground at a distance of 20 m from a hunting lodge 5 m high. A) At what angle of view does the posed see? B) How much does the angle of view change if it approaches the sitting by 5 m? - Chord distance
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions. - Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9 cm. - Tree breaking height
The 30-meter tree broke. Its top fell 5 m from the trunk. At what level did it break? - Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5 m? - Angle of diagonals Calculate the perimeter and area of a rectangle whose diagonal is 14 cm and whose diagonals form an angle of 130°.
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number. - Book reading ways
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books? - Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m3, and the bases' radii are 4 m and 3 m. Find the tank's depth. - The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
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