Maths practice for 14 year olds - page 236 of 362

Number of problems found: 7230

A square
A square with a length of diagonals 12 cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
Rectangle perimeter
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter.
Jewelry box
The jewelry box is in the shape of a four-sided prism with the base of an isosceles trapezoid with sides a=15 centimeters, b is equal to 9 centimeters, c is equal to 10 centimeters, c is equal to 7 whole 4 centimeters. How much fabric is needed to cover a
Opposite direction - walkers
Father Eduard from place A and son Jaroslav from place B set out at the same time towards each other. The faster one is the father and the slower one the son. They meet at 12 o'clock and continue further along the route of their "opposite walker". The fas
Prism height
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres?
Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism).
Big cube
Calculate the cube's surface, which is composed of 64 small cubes with an edge 1 cm long.
Gold inheritance
The king divided the inheritance with his three sons in 7:6:4. Two of them received 286,000 gold. How much does each of the sons get?
Cost to Cover Prism
Calculate how much we will pay for the paper to cover the box in the shape of a three-sided prism with the base of a right-angled triangle; if the overhangs measure 12 cm and 1.6 decimeters, the hypotenuse measures 200 millimeters, the box is 27 centimete
Kettle Power Consumption
We heated water weighing 1 kg at 70 degrees in a kettle. C. In 5 min. What is the power consumption of the kettle? We do not take into account losses or boiling points.
Honeycomb capacity
The honeycomb comprises cells with the shape of a regular 6-sided prism with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. How many liters of honey are there in the entire comb if the plastic comprises
The ball
The ball was discounted by 10 percent and then again by 30 percent. How much percent of the original price is now?
Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17 cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r a
Pyramid measurements
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5).
Fraction Value Changes
The fraction will have a value of 3 if we increase the numerator (a) by 1 and simultaneously decrease the denominator (b) by 2. However, if we simultaneously decrease the numerator and the denominator by 1, the fraction will have a value of 1/2. What frac
2 pipes
Two pipes can fill a tank in 35 minutes. The larger pipe alone can fill the tank in 24 minutes less than the smaller pipe. How long does each piece take to fill the tank alone?
Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, a height of 4 cm, and 5 cm long arms.
Vacation Cost Sharing Equal
Romana, Paul, and John were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Paul Sk 7,000 for all three, and John Sk 4,000 for all three. How much money will each of them pay ea
In the new
In the new television show, a competition was announced for the funniest logo of the show. A total amount of CZK 13,300 was determined for the three winners: the amount will be divided so that the second prize is two-thirds of the first prize and the thir

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