Maths practice for 14 year olds - page 107 of 378
Number of problems found: 7551
- Legislation 58863
To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation.
- Silvia
Silvia is 20% lighter than Katy. What percentage is Katy heavier?
- Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr
- The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey.
- Martin 58723
Jakub and Martin have a total of CZK 950. Jakub has a tenth less than Martin. How much CZK does Jakub have?
- A discount
A discount clothing store sells a $72 sport jacket for $24 off the regular price. What is the discount rate?
- Percentage 58703
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy?
- Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³.
- Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long.
- What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third?
- I bought
I bought two bottles of alcohol and two sanitizers for 126 pesos. How much is a bottle of alcohol if the cost of alcohol is five times the cost of sanitizer?
- 10 workers
Ten workers will perform the assigned work in 8 days. If six workers work for six days and then another six join them, how long will it take to get the job done?
- Rabbits and chicken
There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm?
- Trapezoid
The rectangular trapezoid ABCD with a right angle at the vertex A has sides a, b, c, and d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
- Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train enters the tunnel, which, according to Kub's book, is 2 km long. Kubo notices that the end of the train has left the tunnel 75 seconds later than the locomotive has entered the tunnel. W
- Consumption 58231
Assume that consumption C depends on income y according to the function C = a + by, where a and b are parameters. The slope of this function is 0.8, and c is €50 when Y is €30. Does it apply to the values of parameters a and b?
- Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long.
- Production 58191
The worker's daily production after t weeks is given by the function Q (t) = 50-2.7-0.4t. What will be its products in five weeks?
- Resistance 58091
Does the copper conductor have a resistance of 2.8Ω at 36 °C? What will be the resistance value after cooling to -22 °C?
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