Maths practice for 14 year olds - page 112 of 362

Number of problems found: 7230

What fraction 2
What fraction is equal to 50% of 1/3?
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?
Three languages 2
Participants of a congress may present their contributions in English, Italian, or Spanish. Each of the 120 participants knows at least two of these languages, and 10 participants speak all three languages. English and Spanish is spoken by exactly as many
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
Coin banknote box
Matthew 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 Matthew 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?
Circular segment
Calculate the area of a circular segment if the radius r = 80 cm and the central angle is α = 110°.
The number - digits
Vera formed different three-digit numbers from three given digits. When she added up all these numbers, the sum was 1554. What digits did Vera 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.

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