Maths practice for 13 year olds - page 335 of 360
Number of problems found: 7189
- 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 7 kg. When it is filled with water up to 45% height, it weighs 60 kg. How heavy is a barrel full of water? - Goods
To the market is introducing a new product, the first week is sold at a reduced price. 8 products are sold at an entry price same as 5 products at the normal price. How many percents is the reduced price less than the current price for this product? - Pizza
Pizza with a diameter of 50 cm weights 559 g. What diameter will a pizza weigh 855 g made from the same cloth (same thickness) and decorated?
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up? - Slope RR
A line has a rise of 2 and a run of 11. What is the slope? - Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg. - Comparing powers
How many times is number 56 larger than number 46? - 6-gon
The perimeter of a regular hexagon is 113. Calculate its circumradius (radius of a circumscribed circle).
- Well
A rope with a bucket is fixed on the shaft with the wheel. The shaft has a diameter of 50 cm. How many meters will drop bucket when the wheels turn 15 times? - Two cars
Car A1 goes at an average speed of 106 km/h and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture? - V - slope
The slope of the line whose equation is -3x -9 = 0 is
- Price reduction
The price of the camera is 654 USD on sale. They reduced its price to 411 USD. Calculate the percentage reduction in the price of the camera. - New refrigerator
The new refrigerator sells for 1024 USD. Monday will be 25% discount. How much will USD save, and what will be the price? - Slope form
Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a and b are the constants. - Double percent
What is 40% of 80% of 11800? - Complementary angles
Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
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