Maths practice for 14 year olds - page 335 of 362
Number of problems found: 7232
- Two typists
Two typists are rewriting the material of 836 pages. The first can rewrite yourself for 24 days and the second 12 for days. The first typist wrote material yourself 4 days rest rewrites yourself second typist. How many days will it take to rewrite altoget - Saw
Blade circular saw with a diameter 42 cm turns 825 times per minute. Express its cutting speed in meters per minute. - Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir. - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface. - Quadrilateral
In the square ABCD point, P is in the middle of the DC side, and point Q is in the middle of side AD. If the area of quadrilateral BQPC is 76 cm², what is the area of ABCD? - Automaker
A car manufacturer now produces 4 more cars per day than last year, meaning 360 cars can be produced in one fewer working day. How many working days were needed to produce 360 vehicles in the previous year? - Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues - Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail? - Suzan
My daughter reaches X years in X squared, said Susan's father in 1996 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have? - Soup
54% of pupils at the school eat in the canteen, 1/54 of students who eat in the canteen eat lunch soup. a) What percentage of pupils who eat in the canteen and eat soup for lunch? b) What percentage of all pupils of school eat lunch soup? - Znojmo
From Znojmo to Brno, the truck with a trailer started at an average speed of 52 km per hour. Against him, 11 minutes later from Brno started the car with an average speed of 1.7-times greater than the truck. How long and how far from Znojmo do they meet i - Cars 2
Opava is 360 km distance from Prešov. At 9:00 hour, two cars started against each other from these cities at average speeds 69 km/h and 79 km/h. What hour will it meet, and what distance will it travel if the car starts from Prešov faster? - Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Vector - basic operations
Given points A[-9; -2], B[2; 16], C[16; -2], and D[12; 18]: a. Determine the coordinates of vectors u = AB, v = CD, and s = DB. b. Calculate the sum of vectors u + v. c. Calculate the difference of vectors u − v. d. Determine the coordinates of the vector - Cars
Cars started at 7:00 AM. From point A, the car runs at 40 km per hour, and from B, the car runs at 70 km per hour. Between A and B is a 250 km long road. When and where will they meet (measured from point A)? - Divisors
The sum of all divisors unknown odd number is 496. Determine the sum of all divisors of a number that is twice unknown numbers. - Exam average
The average of marks that have on the certificates students of 8 A class in mathematics is exactly 2.45. If we did not add 1 and 3 of students Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class - BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all- - KLMN
In the KLMN trapezoid is given this information: 1. segments KL and MN are parallel 2. segments KL and KM have the same length 3. segments KN, NM, and ML have the same length. Determine the size of the angle KMN. - Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. In what ratio must these two alloys be combined in the furnace to obtain a new alloy with a ratio of 17:27? (All three ratios refer t
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