Maths practice for 14 year olds - page 347 of 379
Number of problems found: 7578
- 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? - Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city? - Three digits number
How many are three-digit integers such that they have no digit repeats? - 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? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it?
- 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? - Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees). - Meat
Half a kilogram of pork and three-quarters of a kilogram of beef cost a total 5.1 USD. One-quarter of a kilogram of beef and 1 kilogram of pork costs 4.9 USD. Find the price of 1 kg of each type of meat.
- Product - quadratic equation
The product of the two numbers is 900. If we increase the lowest number by two, its product will increase by 150. Determine both numbers. - 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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