Math practice for 13 year olds - page 117 of 414

Number of problems found: 8262

Tractor hectare plowing
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution?
Two numbers
Numbers A and B differ by 95. If from number A we subtract two thirds of it, we get the same result as when we add three fifths to number B. Decide for each of the following statements whether it is true (T) or not (N). a) The larger of the two numbers is
Apple average weight
The basket contains five red apples with an average weight of 125 grams and one yellow apple. The average weight of all apples in a basket is 120 grams. Determine the weight of the yellow apple in grams.
Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places.
Temperature - change
The thermometer showed -2 °C in the morning. By lunch, the temperature had risen by 5 °C. The temperature had dropped by 13 °C till midnight. What temperature in °C did the thermometer show at midnight?
Mark Argie
Mark Argie has P11.50 more than Erwin. Together, the two boys have P131.50. How much does Mark Argie have?
Fertilizer water proportion
0.6 litres of fertiliser is mixed with 40 litres of water. How much fertiliser should be used per 10 litres of water?
Which 9
Which of the following temperatures is the coldest? A. 100 degrees Celsius B. 373 degrees Kelvin C. 32 degrees Fahrenheit
Grandma 9
Grandma bought 2 kilograms of apples at a CZK per kilogram, 5 kg of potatoes at b CZK per kilogram, and one celery for 12 CZK. She paid with three fifty-crown coins. ○ Depending on the values a and b, express in CZK the amount of change Grandma received.
Paper collection
A class with m pupils agreed that each pupil would collect k kilograms of paper. Before the collection began, one pupil moved away and did not hand over any paper. o In dependence on the quantities k, m express: a) how many kilograms of paper each pupil h
Prism height expression
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres.
Target zone probability
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target?
Dice probability greater
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll?
Ski area preparation
A winter ski area is to be prepared by five snow groomers in 6 days. Due to great interest from skiers, after two days reinforcement was called in the form of another three equally performing snow groomers. Decide for each of the following statements whet
Number multiplication expression
Determine the number by which we must multiply the expression (square root one plus one whole and one quarter) to obtain the number 12.
Fraction equality box
Write the assignment in a fraction. Fill in the number in the box so that the equality applies: (Write the result as a fraction in the base form.) (1 1/3 - 3/4) · ___ = 1/2
Number square comparison
Calculate how many times the square of the number 1/100 is less than 1/1000. (numbers in fraction form)
Whole fraction determination
It is given that 1 1/7 of the whole is 32. Determine what 2 1/4 of the total is. (One whole and one-seventh, two whole and one quarter).
Triangle angle ratio
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles.
Terezka 2
Terezka has two younger siblings: 40-month-old Annie and 7-month-old Kája. ○ Calculate how many months it will take for Annie to be four times older than Kája. ○ Calculate the age difference between Tereza and Annie if Tereza celebrated her sixth birthday

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