Maths practice for 14 year olds - page 278 of 361

Number of problems found: 7214

Square diagonal
Determine the diagonal of a square whose perimeter is equal to 72 cm.
Average speed
At what average speed would you have to travel around the world in 80 days? (Assume a path along the equator; round to km/h.)
Dictation
A total of 30 students wrote the dictation. One third of them received a grade of 1 or 4. There were four times as many 2 s as 3 s. How many students received an insufficient grade, given that 7 students received a grade of 1, which is also equal to the s
Area and percents
Find what percentage is a smaller cube surface when the wall's surface area decreases by 25%.
Four-digit numbers
Create all four-digit numbers from digits 1,2,3,4,5, which can repeat. How many are there?
Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%?
Pet store
They sold fish from one aquarium from the breeding product (Zverimex). Andrew wanted half of all the fish, but to avoid cutting any fish, he got half the fish more than he wanted. Matthew wanted half of the remaining fish, but like Andrew, he got half the
Three friends
Three friends divided the profit by 104,650 CZK so that for every 4 CZK, which got the first friend, equals five crowns for the second, and for every 9 CZK, which got the second, equals 16 CZK for the third. Question: Who got the most and how much?
Unknown number 7
16% of the unknown number is 21 less than the unknown number itself. Determine the unknown natural number.
Three children
Three children eat 8 chocolates in 6 days. How many chocolates do 6 children eat in 18 days?
Coconut percentage
The bar contains 81g of coconut per 200g. What percentage of coconut does the bar have?
Shorts probability
Michal chose blue, white, red, orange, black, and brown shorts. What is the probability that he will select blue shorts?
Sum of members
What is the sum of the first two members of the arithmetic progression if d = -4.3 and a3 = 7.5?
Exponent value
Determine what z equals in the expression 169^z = 2 · 6.5
Cocoa percentage
Chocolate has 86% cocoa. Determine how many grams of cocoa are in 165-gram chocolate.
Exponent equation
What is the solution of the equation: 2^x = 2/64
Arithmetic progression
Determine the difference between members of AP and find the third term: 7; 3.6;...
Number ratio
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers.
Root ratio
Determine the ratio of the square root of the number 27 and the square root of the number 16.
Number difference
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers.

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