Grade - math word problems - page 111 of 967

Number of problems found: 19337

Calculate 263
Calculate the area of a rhombus whose diagonals are u = 12 and v = 19.
Christmas 4
There are only 3 packages left under the tree — two for Julia and one for Susan. Julia takes two at once. What is the probability that both packages belong to her?
In the domestic
In a domestic express train, there are 1st and 2nd class carriages. There are twice as many 2nd class carriages as 1st class carriages. Each carriage has 10 compartments. Each 1st class compartment has 6 seats, and each 2nd class compartment has 8 seats.
5D decimal
How many five-digit numbers contain exactly 2 fours and exactly 3 sevens in their decimal notation?
Average time
Determine the weighted average time required in minutes per product, given that 6 workers each take 8 minutes, 15 workers each take 12 minutes, 5 workers each take 10 minutes, and 9 workers each take 13 minutes.
Stay - CK
A holiday stay costs 14,200 CZK per person. If you pay by the end of March, the travel agency offers a discount of 4,500 CZK. How much will two people pay for the trip if they pay by the end of March?
Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed?
Construct 22
Construct a rhombus ABCD if the diagonals are f = 7 cm and e = 5 cm.
Between terminals
A resistor is connected to a 220 V source. A current of 220 mA flows through the resistor. Determine the current that flows through the resistor when it is connected to a 24 V voltage source.
Reward - division
Mum promised the children a reward of 330 euros for their help. How should they divide the money if George helped for 10 days, Emma for 8 days, and Hannah for 12 days?
The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower?
Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³.
Volume of gasoline
There is 1,200 kg of gasoline in a tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of the gasoline.
To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors over these three days. How many visitors came on each day?
HAMMER 4
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word CAL.
On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂.
Members 2
The members of a housing cooperative elected a seven-member board. In how many ways can a chairman, vice-chairman, treasurer, and secretary be chosen from among them?
Books in Slovak and English
Vera has 4 Czech and 3 English books. She wants to arrange them on a shelf so that the Czech books come first and the English books second. In how many ways can this be done?
Birthday boy 2
In how many ways can seven people be seated around a table if the birthday boy must sit at the head?
HAMMER 3
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word WATER.

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