Maths practice for 14 year olds - page 264 of 382
Number of problems found: 7625
- Theatre performances
A total of 15,744 CZK was collected in admission fees for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance, and the revenue from the third performance was 10% lower than the rev - Substitution
Solve equations by substitution: x+y= 11 y=5x-25 - Running track
To the Akčesú races there came 25 runners. The running track was however narrow, and therefore always only five runners could run at once. What surprised Sára and Arthur the most however was the fact that the Te-TiVá people do not have stopwatches, nor ot - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Two diagonals
The diagonals of rhombus EFGH are in the ratio 1:2. What is the perimeter of the rhombus if the longer diagonal is 8 cm? - Circle area
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8 cm. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Ratio-cuboid
The edges of a cuboid are in the ratio 2:3:6. Its space diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Ebay is not free
Be aware of eBay - the fee is painful if you sell something expensive. There is a lot of space for classifieds and local exchange away from global eBay. Calculate the ebay+paypal fee if you sell 3037 USD laptop. The formula for eBay fee is 0,30 + 10 % of - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Vacation ticket
Helen and Marta want to go on vacation together. Helen lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Helen. How much does a ticket cost? - Competitors
In the first round of the slalom, 15% of all competitors dropped out, and in the second round, another 10 competitors dropped out. In total, 40% of all competitors dropped out. What was the total number of competitors? - Number line arrangement
On a number line, arrange the points corresponding to the values a, 2a, and 3a + 1 in all possible orders. For each arrangement, decide whether it is possible. If yes, give a specific example; if not, explain why. - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC.
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