Math practice for 13 year olds - page 95 of 414

Number of problems found: 8262

RT area
A right triangle has an area of 54 cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg.
Isosceles ditch
A ditch with a cross-section in the shape of an isosceles trapezoid with bases of 3 m and 5 m and arms of length 2 m is 2.5 meters deep and 10 meters long. How many cubic meters of soil did they have to excavate when digging it?
A chemist
A chemist recorded the change in temperature of a cooling liquid as −25.5° over a 1.5-minute period. The temperature fell at a constant rate. What was the rate of change in temperature? Enter your answer in the box. °F per minute
Triangle side ratio
I have a right triangle, the length of the hypotenuse is c 20, and I only know the side ratio a:b = 2:1. I can't figure out the actual length of the hangers = I'm already an old man, and my brain doesn't work at 100% like it did years ago at school - I co
Mug handle triangle
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug?
Three friends
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 1/2 pounds of blueberries, and one of his friends picked 1 3/8 pounds. If they ended up with a total of 5 1/4 pounds, how many pounds did Chad's other friend pick? Express you
Mast rope anchoring
The mast is 190 m high and is attached to six ropes which are anchored in the ground at a distance of 20 m from the base of the mast. How many meters of rope were needed?
Tower deviation height
Determine by how many meters the deviated tower, whose height is 56 m, and the top of the tower is located at 55.855 m.
Hexagonal prism volume
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3 cm and 4 cm. The
The amount
The amount of potatoes in kg sold on Monday by three hawkers in the proportion 3:4:5, the least amount sold by one of them is 36 kg. What is the amount of potato sold by each of the other two?
School boy girl
The school has 275 pupils, and there are fifth more boys than girls. How many girls are there in the school?
Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides.
Peter fruit choice
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Vera, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses.
City path count
There are 5 roads from city A to city B, 3 from city B to city C, and 4 from city C to city D. Determine the number of paths that go from A to D via B and C.
Four-digit natural numbers
Determine the number of all four-digit natural numbers in decimal notation in which the digit 0 is not present, and each of the remaining nine numbers occurs at most once.
Shoe cabinet combinations
In the shoe cabinet, there is one pair each of boots, sandals, tennis shoes, and brown and black ankle boots. Determine how many ways one right shoe and one left shoe can be chosen from among them that do not belong together.
Diet liquid solid
The ratio of the number of liquids to the solid components of the diet in (kg) should be about 7:2. Show in a rectangular coordinate system the dependence of the amount of a solid food component on its total amount.
T-shirts
The team bought white t-shirts for CZK 100/piece and black t-shirts for CZK 80/piece. A total of 50 pieces for 4200 CZK. How many black and white T-shirts did they buy?
Evaluate expression
What is: the sum of negative four and one-half times n plus the quantity one-fourth plus one and three-fourths times n minus three-eighths?
Ski double discount
The supermarket reduced the original price of the skis by 20% in January. At the beginning of February, they reduced the new price by another 29%. By what percentage were the skis' costs lower than the original price in February?

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