Maths practice for 14 year olds - page 282 of 382

Number of problems found: 7626

The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners?
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?
Ball diameter
A men's shot put has a prescribed weight of 7,250 g and is made of iron. How would its diameter change if it were made of lead? The density of iron is 7.8 g/cm³ and the density of lead is 11.3 g/cm³.
Worker time
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone?
Two sisters
Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters?
Subject popularity
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 120-meter-long canal in eight hours. How long would it take five workers to dig a 200-meter-long canal?
Way
If the current way to school were 2 km shorter, then if Milo swiped one-half, he would already have one-quarter of the way to school behind. How long is Milo's route to school?
Pool volume
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 a prism with a total surface area of 448.88 dm² and a square base with a side of 6.2 dm. What is its volume in hectolitres?
Tank filling time
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?
Garden watering
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?
Lucky number
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 quadrilateral prism whose height is 28.6 cm, and the diagonal body forms a 50-degree angle with the base plane.
Worker payment
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 = 40 mm 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 cm². Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.

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