Maths practice for 14 year olds - page 248 of 362
Number of problems found: 7230
- Water tank
A 288 hectoliter of water was poured into the tank with dimensions of 12 m and, 6 m bottom, and 2 m depth. What part of the volume of the tank water is occupied? Calculate the surface of the tank wetted with water. - Eva and
Eva and Jana have a total of 560 CZK. Eva has a third more than Jana. How much CZK does each have? - Turners
Two turners perform joint work in 3 hours. The first-turner would perform the job himself in 7 hours. How long would the same job last for a second-turner if he worked alone? - Cinema tickets
Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week? - Number Increased Percent
The number z increased by 20, which is 40% larger than the number z. Determine the number z. - Grade Percentage Better
There were 21 pupils in the class. The teacher gave grade 1 to 3 pupils, grade 2 to 5 pupils, grade 3 to 8 pupils, grade 4 to 4 pupils, and grade 5 to 1 pupil. What percentage of students received a grade better than 3? - Nut mixture
A kilogram of one kind of nut is sold for 130 CZK. A kilogram of another type of nuts for 250 CZK. In what proportion are the two kinds of nuts mixed in a mixture whose price is CZK 220 per kilogram? - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution? - Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC. - The coil
How many ropes (a diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has the following dimensions: The inner diameter is 400 mm. The outside diameter is 800 mm. The length of the coil is 470 mm. - Mug in Cube Box
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - The parallelogram
The perimeter of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of each side of the parallelogram? - Glass Waste Container Hole
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm. - Vacation tour price
Boris and Brandon were on vacation by the sea with their parents. The stay cost the whole family 2170 euros. The trip price for a child was 115 euros lower than an adult's. Both boys took advantage of this discount this year. What was the price of the tou - Block-shaped tank The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it?
- Michaell Erika savings
Michaell and Erika saved € 30. Erika saved five times more than Michaell. How much did Erika save? - Constructing a Square
Construct a square if u-a = 1 - Arithmetic sequence calculation
Calculate the value of the first term and the difference in the arithmetic sequence a1 + a7 = 42 a10-a3 = 21 - Cube Cut Surface Increase
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?
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