Maths practice for 14 year olds - page 279 of 375

Number of problems found: 7492

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?
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 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?
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 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?
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 quadrangular prism whose height is 28.6cm, 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 = 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.
Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm.
Number pairs
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board.
Block measurements
The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, and the circumference of the BCGF wall is 12.4 cm. Calculate the block's area and volume.
Girls savings
Nela, Olga, and Pavla saved up for a joint gift. Olga saved a quarter less than Nela. Pavla saved 140 crowns more than Nela. All three girls together saved three times more than Nela alone. How much did anyone save?
Distances
A boy is rowing a boat at a speed of 7.2 km/h. He directed the boat perpendicularly to the opposite bank, which is 600 m away. The river carries the boat at a speed of 4.0 km/h. What is the resulting speed of the boat relative to the bank? How far will th

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