Maths practice for 14 year olds - page 174 of 376
Number of problems found: 7511
- Electrical 19373
At a certain point, we measured a voltage of 3.74V at a current of 170mA at the terminals of a resistor connected to an electrical circuit. Calculate the resistance of the resistor.
- Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution.
- Birthday 19313
Jan and Alice have a birthday today. Jan is five years younger than Alice. Ten years ago, they were a total of 65 years old. How old is Jan today?
- Solution 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution?
- Right angle
If b=10, c=6, and c are two sides of a triangle ABC, a right angle is at the vertex A, find the value on each unknown side.
- Successfully 19213
Of all the complaints submitted, 741 were successfully resolved. These represented 95% of all complaints. How many complaints were there?
- Surroundings 19153
A heating element with a resistance of 1.6 Ω is used to heat the car's rear glass. The body is connected to the battery in the car, which has a voltage of 12 V. a) What is the power input of the heating element? b) How much heat does the heating element g
- Four-sided 19133
The children's tent with a beech wood floor has the shape of a regular four-sided pyramid with a base edge of 1.25 m and a height of 80 cm. How much m² of fabric do we need to finish the tent if we add 12% material to the folds?
- Kilograms 19123
They were to dispatch and transport 35 machine tools of two types with a total weight of 16.54 tons from the plant. The machine of the first type weighed 420 kg. The second was 80 kilograms heavier. How many machines of the first and second kind did they
- Position 19113
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po
- Centimeters 19103
Emma was raking leaves in the garden. During lunch, she leaned the 170 cm long rake against a tree, with the upper end reaching a height of 90 cm. How far from the tree was the bottom of the rake? Enter the result in whole centimeters.
- Distance 19043
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly?
- Average speed
A car traveled from city A to city B at a speed of 40 km/h, then from B to C at 60 km/h, and finally from C to D at 50 km/h. Calculate the car's average speed over the entire route from A to D if the distance from A to B is 20% of the total distance and f
- Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route?
- Rectangular 18993
The bases are 9 cm and 50 mm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate the circuit and area.
- Penalty daily
John was to pay CZK 1,500. If he does not pay on time, he will be charged a penalty of 0.5 permille of the amount owed for each day of delay. He will remember in 30 days. How much is the penalty?
- Children 18963
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults?
- Siblings 18943
Two siblings, Eva and Peter, saved a total of 228 CZK. Eva saved three times more than Peter. How much did each of them save?
- Mushrooms 18933
When dried, mushrooms lose 80% of their weight. How many fresh mushrooms do we need to get half a kilogram of dried ones?
- Tiles
The tile is square and has a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains?
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