Maths practice for 14 year olds - page 311 of 375
Number of problems found: 7493
- Row pupils
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? - Two numbers
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? - Pool percentage
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. - Raspberry baskets
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. - Weight ratio
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. - Three numbers
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers? - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Prize How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition?
- Kilogram - unit price
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost?
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