Maths practice for 14 year olds - page 128 of 362
Number of problems found: 7237
- Block dimension ratio
A cuboid has dimensions in the ratio 9:5:4. Determine its volume, given that the sum of the longest and shortest edges is 65 cm. - Sin cos tan
In right triangle ABC with a right angle at B, the sides are |AB| = 7 cm, |BC| = 5 cm, and |AC| = 8.6 cm. Find to two decimal places: A. sin C B. cos C C. tan C - Theater ticket discount
The ticket to the theater was discounted by 10%, and after the discount, it cost 306 CZK. What was the original price? - Fence painting time
A single person would paint a fence in 6 hours with a roller. How long would it take him to paint the wall with a brush if you know that two people, one with a meeting and the other with a roller, were done in 5 hours? - Gym center
80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discou - Quarry cleaning time
It takes Matt 12 hours to clear the wreckage, and his friend Kubko only 8 hours. Kubko started cleaning the quarry only after Matt had already been working on the quarry for two hours. When did Matt and Kubek finish cleaning the quarry when Matt started a - Animal heads and feet
When hunting hares and pheasants, hunters calculated that the animals caught had 36 heads and 100 feet. How many hares and how many pheasants do they catch? - Mathematics letter puzzle
Solving the problem of substituting letters with numbers in the word MATHEMATICS: MAT + EMA = TIK - Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm. - Function graph point
Determine the number and in the function y = ax-2 if its graph passes through point A (1, -4). - Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width. - Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - 3 shirts
Three shirts for $35 Two hats and a shirt for $20 Which system of equations can be used to find s, the cost of one, and h, the cost of one hat? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - The carpenters
The carpenters cut the beam. Half of the cut pieces were 1 meter long, a quarter of the pieces were two meters long, and they cut the remaining 8 meters of the beam into two equal parts. - What was the length of the original beam? - What part of the origi - Vineyard spraying time
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined? - Price reduction percentage
By what percentage was the product's price reduced, when before the price reduction, it cost CZK 5,200 and after the price reduction CZK 3,640? - Parking lot vehicles
Three hundred and fifty-four cars arrived at a car park in the morning. The number of passenger cars was 5 times the number of vans. How many cars and vans came to the car park?
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