Maths practice for 14 year olds - page 310 of 371
Number of problems found: 7408
- Probability 3065
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of three randomly selected numbers is less than 22. - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Fit ball
What is the size of the surface of a Gymball (FIT - -ball) with a diameter of 65 cm? - Salary in enterprise
The average salary in the company is 27,000 CZK. 30% of workers have the lowest average income of 19,000 CZK. The wages in this group increased by 2%. How much did this increase the average wage across the company? - Two pumps
The first pump fills the tank in 24 hours, and the second pump fills the tank in another 40 hours. How long will it take to fill the tank if it operates both pumps simultaneously? - Subsequent 3056
There are 48 pupils in the third row and 17 more in each subsequent row than in the previous one. Find how many pupils there are in the first and tenth rows. - Water reservoir
The water reservoir is filled with one pump for four days by the second one for nine days. An outlet can drain the tank in 12 days. How long does it take to fill the reservoir if both pumps are running and not closed outlet channels? - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4m tall? - Numbers 3053
The sum of the two numbers is 98. The first number is 4/3 times larger than the second. What are the numbers? - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side. - Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area. - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Metals
Play eight teams in the Hockey World Cup and determine how many ways they can win gold, silver, and bronze medals. - Two numbers
The sum of two numbers is 1. Identify these two numbers if you know that half of the first is equal to the third of the second number. - Roll the dice
What is the probability that if we roll the dice, a number less than five falls? - Cylinder-shaped 3037
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled? - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Raspberries 3034
Find how many raspberries are in the third and tenth baskets, if there are three raspberries in the first and eight raspberries more in each. - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has.
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