Maths practice for 14 year olds - page 156 of 362
Number of problems found: 7228
- Antenna mast
An antenna mast is 26 metres high. It is secured by four steel cables attached 1.6 metres below the highest point of the mast and anchored to the ground at the vertices of a square with a side length of 14 metres. The mast stands at the centre of this squ - Father daughter age
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Pond radius calculation
Mr. Mark wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Sugar beet yield
Express the yield per hectare of sugar beet when you know that we can harvest 20 tons of sugar from 20 hectares of fields. - Prism surface calculation
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m. - Karel savings calculation
Charles saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then? - Bottle filling calculation
We filled 90 liters of must into bottles, some with a volume of 1 liter and some with a volume of 1.5 liters. Thus, we have a total of 70 bottles of must. How many bottles of each species did we fill? - Mr. Ben
Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he goes every day to be done two days earlier? - Bank loan repayment
On 1 March, Mr. Závora obtained a loan from the bank for CZK 70,000 for four months. The interest rate is 9.5%. How much will he repay to the bank? - Pedestrian cyclist meeting
A pedestrian walked from Tábor to Veselí nad Lužnicí at a speed of 6 km/h. At the same time, a cyclist rode in the opposite direction at a speed of 24 km/h. The distance between the cities is 36 km. How long and far from Tábor will the pedestrian and the - Soldier march calculation
The soldiers walked 90 km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Guests - party There are 13 guests at a party. They clink their wine glasses with each other. How many clinks will we hear in total?
- Series resistor calculation
On sources with voltage U = 12 V, resistors R1 = 1 Ohm, R2 = 2 Ohm and R3 = 9 Ohm are connected in series. Determine the current I flowing from the source and the voltage drops U1, U2, and U3 on the individual resistors. - Square paving calculation
According to the plan, seven pavers were to pave the square in 14 days. After two days of work, another 5 pavers came to help them. How many days from the arrival of the pavers will the work be completed? (tile performance is the same) - Circumference + sides
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths. - Ten persons
Ten persons, each person, make a hand to each person. How many hands were given? - Tea mixture calculation
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed? - Mixture of coffee
They have to prepare a coffee mixture in packing centers, so 1 kg costs 240 CZK. Two types of coffee are in stock at the prices of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the required
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