Maths practice for 14 year olds - page 275 of 368

Number of problems found: 7348

Surface and volume
What is the volume of a sphere with a surface area of 113.04 square meters?
Scale factor
A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³. What is the scale factor in fraction form?
Prescribed 4579
The racing ball for men has a prescribed weight of 7250g. It is made of iron. How does its diameter change if we make it from lead? The density of iron is 7.8 g / cm cubic, and the density of lead is 11.3 t / m cubic.
Everyone 4572
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone?
Coach
The average age of 24 players and a coach of one team is 24 years. The average age of players without a coach is 23 years. How old is the coach?
Two sisters
Two sisters together have 54 CDs. 6/8 CDs have a younger sister and are equal to 3/5 of CDs older sisters. How many CDs has each of the sisters?
Mini-survey 4556
In the mini-survey of our class about the popularity of individual subjects, it was shown that 11.1% of pupils like mathematics, 18.5% like languages, 14.8% of pupils like physical education, and the remaining 12 pupils have several favorite subjects. How
Workers
Nine workers dig a canal 120 meters long for eight hours. For how long would digging five workers' canals be 200 meters long?
Way
If the current way to school were 2 km shorter, then if Milan swiped one-half, he would already have one-quarter of the way to school behind. How long is Milan's route to school?
Hectoliters 4550
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol
Brick wall
A garden 70 m long and 48 m wide should surround by a wall 2.1 meters high and 30 cm thick. The bricklayer will build a wall on the garden ground. How many will we need if 300 bricks are required for approximately one m³?
Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
Rectangular 4546
Thirty watering cans of 8 liters of water are brought to the rectangular garden measuring 15 m and 10 m. During the rain, 2 mm of water fell on the garden. When was the flowerbed more watered?
Multiplied 4545
Philip multiplied the number 4 twice in a row by his lucky number. He added 4 to the result and got a result of 200. What is Filip's lucky number?
Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane.
According 4543
Three workers received €2,850 for the work done. They divided them according to the time worked so that the first got 20% less than the second and the third €50 more than the second. How many euros did the second worker get?
Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM?
Pyramid Z8–I–6
Each brick of the pyramid contains one number. Whenever possible, the number in each brick is the lowest common multiple of two numbers of bricks lying directly above it. May that number be in the lowest brick? Determine all possibilities.
Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.

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