Math practice for 13 year olds - page 406 of 421
Number of problems found: 8412
- Workers
Two workers would fulfill a certain task when working together for 10 days, the first if he worked himself done work in 17 days. How many days will the second worker do the whole job?
- Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 10, b = 19, and height is h = 28.
- 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height?
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]?
- Triangle
For how many integer values of x can 16, 10, and x be the lengths of the sides of a triangle?
- Reciprocal
What is the reciprocal of the sum of the reciprocals of 7 and 6?
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
- Segments
Which of the pairs of numbers on the number line encloses the longest segment: ...
- Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ...
- VAT
John paid 10 Euros in-store for the purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%.
- Mean
If the mean of the set of data 12, 14, 16, 10, 1, 20, 19, 13, 3, 11, 11, 17, 14, 16, 5, x is -10.8, what is the value of x?
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism?
- Negative percentage
In 2006, the company had a loss of 11100 Euros. Two years later, he was already in profit 50000 Eur. Calculate the percentage of the company's profits that increased in these two years.
- Drinking water
A man drinks a keg of water in 21 days, and a woman drinks in 43 days. How many days do they consume a keg together?
- Forestry workers
84 laborers have employed planted trees in the forest. For 9 hour work, a day would end job in 38 days. After 18 days, 6 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 12 hours a day?
- Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm?
- Distance
Calculate the distance between two points K[6; -9] and G[5; -1].
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
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