Maths practice for 14 year olds - page 335 of 361
Number of problems found: 7215
- 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 - Rectangle - sides 3
If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the are - Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have a maximum of 275 tiles. - RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one leg is 20 m long. - Stock market
Simon one day decided to invest € 38000 in the stock market. After six months, he invested in July 6 stock markets fell by 43%. Fortunately for Simon, from July 6 5 to October 6, his shares have risen by 22%. Simon is then: ... - Package
The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left to remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m. Determine the amount of the cloth in the package. - Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle. - Diamond
The rhombus has a side 22 cm and one diagonal 35 cm long. Calculate its area. - Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs? - Total displacement
Calculate the total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: The crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and b - Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is the point [17; -7]. What are the coordinates of point B? - Distance
What is the distance between the origin and the point (-11; 13)? - Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - Barrel 2
The empty barrel weighs 12 kg. When it is filled with water up to 39% height, it weighs 69 kg. How heavy is a barrel full of water?
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