Maths practice for 14 year olds - page 263 of 371
Number of problems found: 7404
- Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
- The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
- Exponential equation
Solve for x: (4^x):0,5=2/64.
- Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- Destination 5286
Daniel reached the destination in 3 hours. Peter came to this place in 4.5 hours. What speed was Daniel moving if we know that Daniel's speed was 30 km/h faster than Peter's, and they both started at the same time from the same place?
- Kaufland sales-off
As a rule, the goods are approaching the end of consumption in Kaufland three days before the consumption ends 30% off and one day before the consumption ends 50% discounts. Sometimes, however, the seller has been mistaken, and the second discount is alre
- Finding the base
Find the unknown base of percent: 12.5 percent of what = 16?
- Part-timers 5281
Three part-timers have a total of CZK 2,850. The first received 20% less than the second part-timer, and the third part-timer received CZK 50 more than the second part-timer. How much CZK did the first, second, and third part-timers get?
- Filling tank
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank?
- The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C?
- Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.
- Debt
Joe and Caryl have a debt of $100,500. Joe makes $90,000 annually, and Caryl makes $35,000 annually. Based on their salaries, how much should both pay to zero out the debt fairly?
- Rabbits 3
Viju has 40 chickens and rabbits. If, in all, there are 90 legs. How many rabbits are there with Viju?
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
- ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul
- Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be?
- Six on dice
When throwing two dice, what is the probability they will fall at least one six?
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Outer angles
The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertex B is 136°50'. What size is the inner triangle angle at the vertex C?
- Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
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