Maths practice for 14 year olds - page 117 of 378
Number of problems found: 7560
- MIT 1869
You know the length of parts 9 and 16 of the hypotenuse, at which a right triangle's hypotenuse is divided by a height. The task is to find the lengths of the sides of the triangle and the length of line x. This assignment was part of the Massachusetts In
- Smartphones 49533
The factory produced 2,420 pieces of smartphones in February. How many smartphones did they make in weeks 1 and 2, when they increased production by 20% in weeks 3 and 4?
- Sean Junkins
Sean Junkins works at X-Mobile. His pay is easily calculated using the expression 12h+8c, where h is the number of hours he works and c represents the number of phones he sells. Would Sean Junkins make more money if he worked 37 hours and sold three cell
- Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8].
- Parallelogram - two sides
The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72°. Calculate the area of the parallelogram.
- Chess pieces
The box contains five black chess pieces. How many white pieces should we add to it so that the probability of pulling out a black piece is 1:4?
- Lead melt
Find the heat needed to melt an object made of lead weighing 250g and an initial temperature of 35°C. Lead melts at 327°C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg.
- Probability 49331
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill raffle will draw a start number less than 6?
- Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key?
- Probability 49301
Eva and 199 other students took part in job interviews at the Dream School, which accepts only the 120 most successful students. What is the probability of its acceptance?
- The pool
There is 210 l of water in the pool. If you know that the pool is 30% full, calculate how many liters of water will fit into it.
- The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house?
- Above water surface
If we remove the stone from the water, we apply a force of 120N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³.
- Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice?
- What power
What power should the radiator have in a room 5x4 meters with a height of 3 meters? Hint: Calculate 35 watts per meter³ when you need 22 degrees in the room, but you need about 24 degrees in the bathroom. It's an old heating cheat, but it will help you.
- Volleyball 49041
The volleyball costs 20e. The 8 + 1 free event is in the wholesale sporting goods store. How many euros will the section pay if they order 39 balls in this store?
- Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each playing seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are there possi
- Three subjects
In a class of 40 students, 18 passed mathematics, 19 passed accounting, 16 passed economics, five mathematics and accounting only, six mathematics only, nine accounting only, and two accounting and economics only. Each student was offered at least one of
- Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other?
- Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the
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