Maths practice for 14 year olds - page 254 of 362
Number of problems found: 7230
- Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has the shape of a rhombus with a side 20 m long. One diagonal is 32 meters. What is the second diagonal? - Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Gymnasium - classes
Half of the 9th-grade students want to study at secondary technical schools, a quarter at vocational schools, a sixth at gymnasiums, and 3 students do not wish to continue their studies. How many pupils are there in the class? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube at a scale of 1:2. - Tax price
The product, burdened with 20% taxes, was sold for 600 CZK. How much would you sell for 10% of taxes? - Cube measurements Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156 kg. How many kilograms does each girl have? - Theatre performances
A total of 15,744 CZK was collected in admission fees for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance, and the revenue from the third performance was 10% lower than the rev - Substitution
Solve equations by substitution: x+y= 11 y=5x-25 - Running track
To the Akčesú races there came 25 runners. The running track was however narrow, and therefore always only five runners could run at once. What surprised Sára and Arthur the most however was the fact that the Te-TiVá people do not have stopwatches, nor ot - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Two diagonals The diagonals of rhombus EFGH are in the ratio 1:2. What is the perimeter of the rhombus if the longer diagonal is 8 cm?
- Circle area
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8 cm. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent.
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