Maths practice for 14 year olds - page 49 of 376
Number of problems found: 7503
- Height of poplar
From the 40 m high observation deck, you can see the top of the poplar at a depth angle of 50°10' and the bottom of the poplar at a depth angle of 58°. Calculate the height of the poplar. - Block edge change
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent? - Cashier coin payment
To pay out the amount of CZK 570, the cashier used 15 coins: a few fifty crowns and a few twenty crowns. How did she pay the amount? - Open simultaneously
An empty tank is filled with inflow in 30 minutes. A full tank is emptied in 75 minutes with an open drain. How long does it take for an empty tank to fill up if both the inlet and outlet are open simultaneously? - Elevation angle
An airliner currently flying over a location 2,400 m away from the observer's location is seen at an elevation angle of 26° 20'. At what height does the plane fly? - Justify
50 bottles of red wine are purchased for a company party. In the first store, a bottle of wine costs €6.90. Here they have a promotion that when you buy 4 bottles, the fifth one is free. In the second store, the same bottle of wine costs €8.50. However, t - Meadow bird distribution
The meadow has massive trees, a lake, and tall grass. A seventh of the birds sit in nests in trees. A third swim in the lake and a quarter of the birds sit in nests in the tall grass. Twenty-three birds are sitting on tree branches. How many birds are the - Strudel piece length
Mom divided the strudel among her three sons. First, she cut off 1/3 of the strudel. She split the rest in a ratio of 2:3. The difference between the longest and shortest pieces is 4 cm. Determine the length of the strudel in cm. - Boiler room
If only the first boiler is running, the coal supply is enough for 8 days. If only the second boiler is running, the coal supply is enough for 12 days. If only the third boiler is in operation, the coal supply will last for 6 days. How many days in total - Refrigerator - discount
The refrigerator was first discounted by 20% and then increased in price by 5%. Now the Zmrzlin family bought it for 420 euros. How much was the refrigerator before the discount? - Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter - Camp room distribution
Fifty pupils were in the camp; they lived in double and triple rooms. They occupied 20 rooms, many of which were two- and three-story. Please proceed. - Source internal resistance
A load of 23.5 ohm is connected to an ideal voltage source of 30V, and a current of 1.2A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current. - Consecutive even sum
The sum of five consecutive even numbers is -10. What are the numbers? - Observation tower
At the top of the hill, there is a 30-meter-high observation tower. We can see its heel and shelter from a certain point in the valley at elevation angles a=28°30" and b=30°40". How high is the top of the hill above the horizontal plane of the observation - Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Clock face
On the circular face of the clock, we connect the points corresponding to the numbers 2, 5, and 9 to each other, which creates a triangle. Calculate the sizes of all interior angles. - Trapezoid plot fence
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Tennis serve percentage
The tennis player won precisely 55% of the balls during his serve. In doing so, he served less than thirty times. How many times did he serve? - Parallelogram diagonal size
Given is the parallelogram KLMN, in which we know the side sizes/KL/ = a = 84.5 cm, /KN/ = 47.8 cm, and the angle size at the vertex K 56°40'. Calculate the size of the diagonals.
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