Maths practice for 14 year olds - page 340 of 370
Number of problems found: 7387
- Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - Equations
Solve the following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44 - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - Three days
During the three days, I sold stationery 1490 workbooks. The first day sold workbooks more than the third day. On the second day, 190 workbooks sold in less than the third day. How many workbooks are sold each day? - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Chess
How many different ways can you initiate a game of chess (first pass)? - Combinations
How many different combinations of two-digit numbers divisible by four arise from the digits 3, 5, and 7? - Three workers
The company rewarded three workers, CZK 9200, and their work divided the money. The first worker gets twice the second, the second three times more than the third. How much money did each worker receive? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8. - Parallelogram ABCD
The area of parallelogram ABCD is 906 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND? - Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square? - Freight train
The train carries 525 tons of limestone in 29 wagons. Wagons are 15 tonne and 20 tons. How many are 15 ton, and how many are 20 ton wagons? - Children
Less than 20 children played various games in the yard. They can create pairs, trios, and quartets. How many children were in the yard when Annie came to them? - Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - A three-digit numbers
Determine the total number of positive three-digit numbers that contain a digit 7. - Cottages
The summer camp has 41 cottages. Each has rooms for three and four. How many of the 140 campers live on three?
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