Maths practice for 14 year olds - page 239 of 368
Number of problems found: 7349
- One-third 6529
The worm Oliver Zoubek decided to bite through the oak log. In the first year, he made a hole in one-third. The second year, he chewed through one-third of the rest. In the third year, again, a third of the rest, and in the fourth year, he had 16 cm left. - Circumference of a triangle
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. - Mathematics 6522
There are more than 20 but less than 40 students in the class. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. Nobody got a four. How many students in the class wrote the test on a five? - Together 6519
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours? - Amount 6518
What is 5% of the amount of 5000 euros? - Car driver
The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier - Bottles
The must is sold in 5-liter and 2-liter bottles. Mr. Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles? - 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?
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