Maths practice for 14 year olds - page 93 of 347

Number of problems found: 6935

Box cardboard material
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin
Class girl count
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class.
Businessman goods profit
The businessman sells the goods for 28 €, bought in a warehouse for 20 euros. What is his profit?
Triples
The triplets Jana, Jan, and Judy have saved a total of 180 CZK. Jana has saved three times as much as each of her two siblings. Judy and Jan have saved the same amount. a) Determine the ratio of the amounts saved by all three siblings in the order Jan, Ju
Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point
Orange workshop workers
Thirty-two tons of oranges are processed in eight workshops with 40 employees each. How many workers process 9 tons of oranges in 9 workshops?
Worker plan percentage
The daily production quota is 530 components. A worker's actual production was 659 pieces. Calculate to what percentage the worker fulfilled the plan.
Typist page speed
The typist typed 20 pages of text in 2 hours and 40 minutes. How many pages of text would she write at the same writing speed in 20 minutes?
Perimeter - width and length
The length of the rectangle is (x + 5y - 2), and its width is (x + 2) smaller than the length. Express the perimeter of the rectangle by variables.
Two buses
On Thursday, 240 skiers had to be transported, and two buses took 30 minutes to do so. If there were 660 skiers on the piste and three buses were used, how long did the transport take on Saturday?
Mr. Fish
Mr. Fish paid 1,080 CZK for three Christmas carp. The difference in weight between the first and second carp, and between the second and third carp, was exactly 80 dag in each case. The price of 1 kg of live carp was 120 CZK. a) Calculate the weight of ea
From peanuts
From peanuts priced at 160 CZK/kg and almonds priced at 200 CZK/kg, 20 kg of a nut mixture priced at 190 CZK/kg is to be prepared. The price of the mixture is determined by the ratio in which the nuts are mixed. a) Determine how many kilograms of each typ
Mr. Filip
Mr. Philip is preparing to renovate a garden. He will divide its area into herb, vegetable, and ornamental sections in the ratio 2:3:5 (in this order). The area of the herb section will be 4 m × 2.5 m. a) Calculate the total area of the renovated garden i
Goods shipment price
The price of one piece of goods is 450 CZK, and the price of transport is 90 CZK. They paid Svoboda a total of CZK 10,440 for the shipment. Calculate how many pieces of goods they ordered Svoboda.
Alloy Cu+Pb
An alloy of copper and lead is a mixture of these metals in a ratio of 5:2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper.
Three-digit number creation
The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num
Three-digit number creation
The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu
Relative motion
The boat moves along the river at a speed of v1 = 5 km/h and upstream v2 = 2 km/h What is the current P's and boat L's speed relative to the water?
Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4 cm and 300 cubic cm, respectively. What is the length of this cuboid?
Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?

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