Maths practice for 14 year olds - page 104 of 379
Number of problems found: 7575
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- Calculate 60993
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm.
- Nitric acid
We want to prepare 200 g of 30% nitric acid. We have enough 12% and 60% of this acid. How many of which will we need?
- Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage?
- Completed 60913
The daughter needs 12 hours to clean up after the painters. The mother could do the same cleaning in 8 hours. How long will it take to clean up after the painters if the mother starts work only after the daughter has completed 2 hours?
- A student 3
A student earned a grade of 80% on a math test with 20 problems. How many problems on this test did the student answer correctly? Round to the nearest whole number.
- Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6?
- Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm
- The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
- Following 60793
I want to turn to help with the following example. How do I reach an 8% solution? I need to mix 3.5% milk with 33% cream. Thank you for being so helpful.
- Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes.
- Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had nine more balls than Martin. How many balls did Martin win? Solve the help of the equation.
- Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles?
- Interest 60693
Mrs. Betka took out a loan of 8,300 euros. After a year, she paid interest of 415 euros. What is the interest rate on Mrs. Betka's loan?
- Meadow 60683
Sheep and geese graze in the meadow. They have a total of 20 heads and 64 legs. How many sheep are in the field, and how many geese?
- Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed?
- Stock market 3
Because of a political crisis, the country's stock market index dropped by 600 points. Before the crisis, the country's stock market was performing well at 8,000 points. By how many percent did the country's stock market index points drop?
- The Fraction
The denominator of a Fraction is greater than the numerator by 4. if 11 is added to the numerator and one subtracted from the denominator, the value of the fraction obtained is 7/3. What is the original fraction?
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