Maths practice for 14 year olds - page 84 of 378
Number of problems found: 7560
- Cross-section 71254
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m. - Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka? - Expression 71224
The operation ♤ is defined by the relation A ♤ B = AB - A - B. What is the value of the expression 5 ♤ (4 ♤ 3) equal to? - Parallelogram 71214
How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others? - Distinguish 71184
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - Probability - on the roll
Find the probability that one will fall at least once in three rolls. - Probability 71164
We roll the dice twice. What is the probability that if an even number falls for the first time, the even number will fall a second time?
- Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Submerged 71144
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C - Divided 71124
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long was the whole line in cm? - Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself? - Today 2
Today only, a desk is being sold at a 72% discount. The sale price is $100.80. What was the price yesterday? - Apples and bananas
If you pay $11 for one apple and nine bananas and $7 for three apples and one banana, how much do an apple and banana cost? - Knitting a scarf
Rebecca is knitting a scarf. She runs out of yarn when the scarf is 1 1/2 feet long, which is ⅔ of the length she wants to make. How long is the scarf when finished? Write a multiplication and division equation to represent this situation. - Circumference 70984
The length of the rectangle measures 12 cm. Calculate its circumference if the length-to-width ratio is 4:3
- Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order? - Determine 70894
The two numbers are in a 3:4 ratio. Their product is 108. Determine the larger of them. - Determine 70834
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45m long shadow. Determine the height of the chimney. - RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg. - Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
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