Maths practice for 14 year olds - page 89 of 378
Number of problems found: 7557
- Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units.
- A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities?
- Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.
- In a bakery
In the bakery, a bun costs 2 CZK more than a roll. Petr bought 4 buns and 8 rolls and paid the exact amount of 62 CZK for this purchase. a) Calculate the price of one bun in CZK. b) Calculate in CZK how much Petr would pay to buy 2 buns and 2 rolls. c) De
- Perpendicular 68194
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
- Represent 68124
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class.
- Businessman 68104
The businessman sells the goods for 28 €, bought in a warehouse for 20 euros. What is his profit?
- Triples
The triplets Jana, Jan, and Jitka have saved a total of 180 CZK. Jana has saved three times as much as each of her two siblings. Jitka and Jan have saved the same amount. a) Determine the ratio of the amounts saved by all three siblings in the order Jan,
- 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
- Workshops 67984
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?
- Standardized 67974
The daily standardized output assumes the production of 530 components of the same type. The worker's actual production was 659 pieces. Indicate the percentage of the employees who met the plan.
- Writing 67964
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 67934
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.
- Transported 67924
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 the purchase of three Christmas carpets. The difference in weights (in this order) between the first and second carp and between the second and third carp was exactly 80 dag. The price of 1 kg of live carp was 120 CZK. a) Calcu
- Mr. Filip
Mr. Filip is preparing to reconstruct a garden. He will divide its area into herb, vegetable, and ornamental parts in the ratio 2 : 3 : 5 (in this order). The area of the herb part will be 4m x 2.5 m. a) Calculate in m² the total area of the reconstru
- Calculate 67864
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 67834
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 67824
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
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