Maths practice for 14 year olds - page 305 of 309
Number of problems found: 6169
- Seedcake
Seedcake costs 44 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros?
- Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm.
- Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73.
- Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
- Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope?
- Trigonometry
If you know that cos(γ) = sin (806°), what is the angle γ?
- Chord MN
Chord MN of the circle has distance from the center circle S 120 cm. Angle MSN is 64°. Determine the radius of the circle.
- Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
- Shooter
The probability that a good shooter hits the center of the target circle No. I is 0.1. The probability that the target hit the inner circle II is 0.58. What is the probability that it hits the target circle I or II?
- Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors?
- Loans, loan ...
In Slovakia, short-term non-bank loans launched, which few people have their "take," are considered unfavorable. Often, the borrower ends up in a spiral of debt, which takes more and more onerous loans to repay earlier loans. Calculate how many 9-year loa
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel?
- Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
- Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
- Magnification of the square
If we increase the square side, increase the area of the 57 %. About what percentage was increased on its side?
- The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town.
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