Maths practice for 14 year olds - page 126 of 362
Number of problems found: 7237
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm. - Isosceles trapezoid area
Calculate the area of an isosceles trapezoid ABCD, whose longer base measures 48 cm, the shorter base measures 3/4 of the longest base, and the leg of the trapezoid measures 2/3 of the longer base. The result is rounded to the nearest hundredth. - A box
A box contains 6 red, 5 blue, and 4 white balls. Find the probability of drawing a) a red ball and b) a non-white ball. - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men? - ID tag
How many three-digit ID-tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be five, and repetition of the others is not permitted. - Resistors in a circuit
Two resistors with resistances 30 and 50 Ohm are connected in series in a circuit. Between the outer terminals of the resistor there is a voltage of 20 V. Draw the circuit diagram and record into it all quantities. What current passes through the first an - Bulbs in a motorcycle
In a motorcycle there is a battery with a voltage of 6 V. To the battery two devices are connected side by side. The first device is the bulb of the tail-light with an electrical resistance of 12 Ohm. The second is the bulb of the headlight with an electr - Forest land
The land area of 320 hectares has 30% wood. How many hectares of land are not afforested? - Student meeting attendance
Three times more boys than girls attended the student meeting. When 8 boys and 8 girls left early, five times more boys than girls stayed at the meeting. How many boys and how many girls were at the game? - Shooting target hits
Members of the shooting circle hit the target 57 times during the shooting, which was 38% of the total number of shots. How many times did they fire in total? - Rectangle's dimensions
The rectangle has an area of 147 cm². One of its sides is three times longer than the other side. We increase the shorter side of the rectangle by 8 cm. By how many cm² will the new rectangle's area be larger than the original rectangle? - Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - Three resistors
You must connect three identical resistors with 12 Ohm resistances to get the resulting resistance gradually) 36 Ohm, b) 4 Ohm and 18 Ohm. Draw a diagram of each circuit. - Jana grade average
The average of 19 students from the mathematics paper was 2.63 (rounded to two decimal places). Jane wrote the paper later because she was sick. After taking Jane's grade into account, the average changed to 2.60. What grade did Jane get? - How to
How can the total surface of a rectangular pyramid be found if each face is 8 dm high and the base is 10 dm by 6 dm? - Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Assembly sick worker
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Calculate triangle
In the triangle, ABC, calculate the sizes of all heights, angles, perimeters, and areas if given a=40 cm, b=57 cm, and c=59 cm. - Washing machine
The washing machine cost € 325. In sales-off, it became cheaper by 10% and another 10%. Find the last price of the washing machine. - Race second probability
Five competitors took part in the race. Jerry was disappointed that he didn't win. Before announcing second place, he calculated the probability of finishing second. What number did he get if he counted correctly?
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