Maths practice for 14 year olds - page 44 of 369

Number of problems found: 7367

In a queue
There are cars and trucks in a queue in front of a toll gate. A truck is three times longer than a car. Calculate how many cars are in front of the car that has just arrived, if there is one truck among them, which is one eighth of the length of the queue
Dirty fuel - coal
Coal for 15 families lasts 60 days. How many days will the coal last for 20 families?
Construction 83208
An isosceles triangle ABY has a base AB of length 5 cm and an angle at the primary vertex of 50°. Write down the construction progress.
Workers 4
Workers in a workshop machined the same parts for three months. Their output increased so that each subsequent month they machined 10 percent more parts than the previous month. In the last month, they machined 484 parts. How many parts did they machine i
Kilograms 83204
Nine kilograms of bell metal contain 7 kg of copper, the rest of which is tin. How much copper and how much tin were used to cast five bells? Each of the two larger bells weighed 535kg, and each of the remaining three smaller ones weighed 286kg.
Weighing 83201
Bronze is an alloy of copper and tin in a ratio of 1:4. How much copper does a bronze piece of jewelry weighing 25 g contain?
Buy and sell
The selling price is 5.75 EUR, and the buying price is 4 EUR. By what percentage was the price increased?
Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords.
Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long.
Daffodils 83181
The spring bouquet consists of 13 daffodils and 8 tulips, and the other 30% are freesias; how many flowers are there in total?
The balance - the lever
For the lever to be balanced, the arms' lengths must be inversely proportional to the weight ratio of the weights suspended on these arms. Complete the data: 30 cm, 10 cm, 4 kg, and m₂ kg.
Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge?
Apprentice 83169
The master gave the apprentice the task of dividing the 28 m long electric cable into two parts so that the second part was 2.5 times larger than the first. How long were the cable sections supposed to be?
Afternoon 83168
In the morning, 6 liters more water was in the green canister than in the blue one. In the afternoon, the gardener poured 1 liter of water from the green canister into the blue one. There was then twice as much water in the green canister as in the blue o
Overhangs 83158
The area of a right triangle ABC is 346 cm², and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b.
Isosceles triangle and cosine
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time?

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