Maths practice for 14 year olds - page 80 of 376
Number of problems found: 7519
- Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Rocks 2
A garden center has one type of rock that sells for $6.50 per cubic yard and another type of rock that sells for $12.80 per cubic yard. They want to make 25.2 cubic yards of a mixture of rock that sells for $12.40/cubic yard. How much of each rock will th - Calculate 72994
Calculate 50 per mille of 340. - Aluminum 72964
The aluminum disc has a diameter of 96 mm. 10 discs are cut from a sheet metal sheet 1 m long and 10 cm wide. What% is waste? - Cats and birds
There are 15 cats and birds in the park. There are 42 legs altogether. How many cats are there? - Magazine's 72894
Shop reduced the magazine price by as many percent as the euro cost the magazine before the price reduction. Find the original price if it costs 16 euros after the discount.
- Unknown 72884
The square root of an unknown number equals the square of 2. What is the unknown number? - A chord
In a circle radius of 6 cm, a chord is drawn 3 cm from the center. Calculate the angle subtended by the chord at the center of the circle. Hence find the length of the minor arc cut off by the chord. - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution. - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism-shaped. Find the following: 1. If the aquarium's height is x, then find the area of the base ( - The truck
What is the mass of a ten-wheeler truck if it has reached a momentum of 567 kg.m/s while it moves at 40m/s? - Which 10
Which will have greater momentum between a ten-wheeler truck weighing 7,000 kg and a bus that weighs 5,000kg if the bus is moving at 15 m/s while the truck is moving at 10 m/s? - A coffee
A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. Gourmet coffee usually sells for R420,00 per kilogram, while the cheaper brand sells for R180,00 per kilogram. How much of each type should be mixed to have 30 kilograms of coffee - Coffee 6
Coffee worth $1.05 per pound is mixed with coffee worth 85 cents per pound to obtain 20 pounds of a mixture worth 90 cents per pound. How many pounds of each type is used?
- Parking 72644
How many ways can ten cars park side by side in a parking lot? - Calculate 72624
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1:2, b: c = 5:6. Calculate the lengths of all sides of the triangle ABC. - Calculate 72594
Karel, Peter, and Milan helped pick apples. It took Karl 30 minutes, Peter 45 minutes, and Milan 36 minutes to turn over one full box of apples. Calculate how long it would take them to acquire 3 full crates together. Mark one answer: a. 32 minutes b. 36 - Adjusting 72554
Two working groups are adjusting the park. The first group will do the work in 15 days and the second in 25 days. How many days will they work together? - Tablecloth 72254
The table top is 1.2 m long, 55 cm wide, and 35 mm thick. Calculate how many regular meters of a 1 m wide roll are needed for a tablecloth that extends 15 cm beyond the bottom edge of the table on all sides.
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