Maths practice for 14 year olds - page 106 of 378
Number of problems found: 7550
- The ratio 7
The ratio of the sides of two squares is 4:5. If the sum of their areas is 180 cm². Find the sides of the two squares.
- What percent 4
What percent of 40 is 14?
- The power generator
How much would be paid for the generator if it costs 2000 and 12.5% tax is charged on it?
- Directly and inversely
If z varies directly as x and inversely as y, and z = 16 when x = 3 and y = 2, find z when x = 5 and y = 3
- Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4.
- Jointly function
If z varies jointly as x and y, and z = 12 and x = 2 and y = 4, find z when x = 5 and y = 2
- Banknotes 59503
Matej had 2 euro coins and 5 euro banknotes in his box. There were a total of 60 of them worth 171 euros. How much money did Matej have in the treasury?
- Find two 2
Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same.
- A pair
A pair of shoes costs $52.99, and the sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
- Commission rate
George sold a house and lot worth Php 2,000,000.00. If the owner gave him Php 110,000.00 as a commission, what is the commission rate?
- Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
- Last wagon
A 200 m long train passes through the 700 m long tunnel so that a time of 1 minute elapses from the entry of the locomotive into the tunnel to the exit of the last wagon from the tunnel. Find the speed of the train.
- Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm²
- Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles.
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- The number - digits
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use?
- Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together.
- Two expressions
When x = 3 and y = 5, how much does the value of 3x² – 2y exceed the value of 2x² – 3y?
- Legislation 58863
To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation.
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