Maths practice for 14 year olds - page 308 of 312
Number of problems found: 6239
- Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)?
- 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.
- Heron backlaw
Calculate the unknown side in a triangle with sides 24 and 40 and area 299.6.
- Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73.
- Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm.
- 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?
- Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
- 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.
- Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN.
- 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.
- 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?
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