Math practice for 13 year olds - page 379 of 423
Number of problems found: 8441
- Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet?
- Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de
- Cars motion
From A point car starts at the speed of 90 km/h. Against it departs from point B at the same time another car at 60 km/h. How long and where do they meet if the distance between A and B is 180 km?
- Three friends
Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get?
- Pytagoriade
Two fifth-grader teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Out of 33 students in class 5A, 22 students competed in at least one of the competitions. Students who competed only in the Pytagoriade were twice as many who jus
- The book
If you read p pages daily, you will read the book for 24 days. If you read ten pages each day more, you would read a book in 16 days. How many pages have the book?
- Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=22 cm and the distance from the center d=29 cm chord to the circle.
- Five girls
Five girls are traveling by bus. Each holds in each hand two baskets. In each basket are four cats. Each cat has three kittens. Two girls exit the bus. How many legs are on the bus?
- Bath salts
Bath salt A weighs 900 grams and costs 36,40 CZK. Bath salt B weighs 1000 grams but costs 85 CZK. How much is a bath salt A cheaper than B salt?
- Water lake
The length of the lake water is 8 meters, width 7 meters, and depth 120 centimeters. How many liters of water can fit into the water lake?
- Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be?
- Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder.
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square?
- Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 50 cm) is 43 cm?
- Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross?
- Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long.
- The star
Find the area of the shaded part of the square with a side of 22 cm.
- Clocks
What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands at each other at 120°?
- Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus.
- Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°?
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