Maths practice for 14 year olds - page 242 of 371

Number of problems found: 7415

Equation 6513
Solve the equation (y + 5 / y-3) + (y + 3 / y-5) = 3
Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9
Determines 6508
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors.
Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts?
From Pardubice
Mrs. Černá left Pardubice and rode to Rychnov nad Kněžnou at an average speed of 60 km/h. At the same time, Dáša rode her bicycle from Rychnov nad Kněžnou and rode to Pardubice at an average speed of 25 km/h. The place on the road where they passed was 10
Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?
Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle.
Remainder 6493
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a
Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers?
Arbitrary 6486
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle.
Repair pipe
Twenty workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last?
Equilateral cylinder
A hectolitre of water will fit in an equilateral cylinder. What are its dimensions?
Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
Klara
Klara and Jitka went on a hiking trip at 13 o'clock at a speed of 5km/h. At 14 o'clock, Thomas rode on the bike at an average speed of 28 km/h. How many hours and at what distance from the beginning of the road did Thomas catch the two girls?
Subsequent 6477
We will put 900 bags in nine rows, with five fewer in each subsequent one. How many are in the first place?
Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today?
Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have?
Expression with powers
If x-1/x=5, find the value of x⁴+1/x⁴
Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
Difference 6469
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106m. Calculate the path's length.

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