Maths practice for 14 year olds - page 310 of 361
Number of problems found: 7217
- Coffee
A coffee merchant has Robusta and Arabica coffee beans. 1 kg of Robusta costs 450 CZK, and 1 kg of Arabica is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 4 - Throw
We throw two times with two dice. What is the probability that the first roll will fall more than the sum of 9 and the second throw has a sum of 3 or does not have the sum of 4? - Euros
Peter, Jane, and Thomas have €550 together. Thomas has 20 euros more than Jane, and Peter has €150 less than Thomas. Determine how much each of them has. - Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm. - Mass
The thickness of a metallic tube is 1 cm, and its outer radius is 11 cm. Find the mass of such a 1 m long tube if the metal density is 7.5 g per cubic cm. - Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row? - Land areas
Two land areas are 244 m². The first parcel is 40 m² less than twice the second one. What is the acreage of each parcel? - Volleyball
Eight girls want to play volleyball against boys. A team can have six players on the court at one time. How many different starting teams can the coach choose from these girls? - Rectangle
The width of the rectangle is 65% of its length, and its perimeter is 132 cm. Determine the dimensions of the rectangle. - Addends
Number 118 is divided into two addends, so the first addend is 69, greater than 75% of the second addend. - Three friends
Peter is eight times older than Ralph, and Ralph is three times younger than Joseph. Together they are 120 years old. How old is each of them? - Work at plant
The handyman vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he sought help. Together, they made all the corrections for 13 1/3 days. How long would the work take the helper himself? - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD. Points J and G lie on side CD, with DJ less than DG, and points H and E lie on side DA, with DH less than DE. We also know that DJ equals GC. Hexagon ABCGFE has a perimeter of 96 cm, hexagon EFG - Probability
In the lottery, numbers are drawn from five to 50. What are the chances you will win the first prize? - Unoccupied swallows
The swallows flew in and sat on the benches, one swallow on each bench, while one swallow did not miss an empty bench. If two swallows sat on each bench, one bench would remain unoccupied. How many swallows were there, and how many benches? - Repairman
A repairman promised to complete repair work at the plant in 25 days. However, the work had to be shortened, so he took on a helper. Together, they finished all the repairs in a full day. How long would the helper take to do the work alone? - Two masons
Two masons built the garage together—it took 18 days. If they worked independently, the other would have worked 15 days more than the first. How many days would it take each mason to build the garage alone? - Probability - tickets
What is the probability when you have 25 tickets in 5000 that you do not win the first (one) prize? - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a
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