Maths practice for 14 year olds - page 202 of 376
Number of problems found: 7511
- Children's 8212
The family paid (2 adults and three children) in the museum, and the children spent half the adult entrance fee. How much does the children's entrance fee to the museum cost if Dad paid CZK 315.) - Reading records
Lucy, Tereza, and Petra decided to compile the compulsory reading records together. It would take 30 days for Lucia alone, 36 for Tereza, and 45 for Petra. How long will it take to make records if they will work together? - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - The difference
The difference between the two numbers is 1375. If their exact quotient is 12. Find the two numbers - Hexagonal 8200
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12cm. What is its volume? - Competition 8193
David caught three carp races. The second was 15 cm longer than the first. The third is 8 cm shorter than the second. David entered a total length of 166 cm in the competition. How big a carp did he catch? - Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Accommodated 8189
One hundred sixty-nine pupils were accommodated in 45 rooms at the outdoor school. Some were triple, and some quadruple, and all were fully occupied. How many were triple and quadruple rooms there? - A jackpot
How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i.e., home win or away win. - Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist? - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6m and 3m and a height of 2.5m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Constructed triangle
The perimeter of the right triangle is 18 cm. The sum of the areas of the squares constructed above its three sides is 128 cm². What is the area of the triangle?
- Equations: 8160
Solve a system of equations: 3x- (y + 2) / 2 = 9 (x + 2) / 5-2y = 5 - Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to the done work in 12 days? - Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters? - Heights 8157
The heights of Jirka and David are in the ratio of 5:3. Jirka is 60 cm taller than David. How much does Jirka measure? - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi
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