Equations practice problems - page 78 of 242
Number of problems found: 4827
- Rectangle's dimensions
The rectangle has an area of 147 cm². One of its sides is three times longer than the other side. We increase the shorter side of the rectangle by 8 cm. By how many cm² will the new rectangle's area be larger than the original rectangle? - Jana grade average
The average of 19 students from the mathematics paper was 2.63 (rounded to two decimal places). Jana wrote the paper later because she was sick. After taking Janča's grade into account, the average changed to 2.60. What grade did Jana get? - Library reader fee
Forty percent of all library readers have already paid the annual reader fee, so the remaining 264 have to pay the fee. How many readers does the library have? - 25 pupils
Twenty-five pupils attend the school dance group, which is 5 percent of all pupils. The judo class is attended by 20 pupils, a quarter of whom also attend a dance group. How many schoolchildren do not go to a dance or judo group? - Candy mixture price
They want to buy a mixture of candies for the confectionery, which consists of fruit candies at CZK 170/kg and chocolate candies at CZK 240/kg. The mixture should be 20 kg for 212 CZK/kg. How many fruit candies and how many chocolate candies must he buy? - Marble sharing ratio
Four boys shared 100 marbles. The second received 20% more than the first, the third received 20 more bullets than the first, and the fourth received 0.8 times more bullets than the first. How many marbles did each boy get? - 540 pupils
Five hundred forty pupils enrolled in the school group, which is a fifth more than the group's capacity. How many pupils is the capacity of the group? - Theater ticket discount
The ticket to the theater was discounted by 10%, and after the discount, it cost 306 CZK. What was the original price? - Consecutive odd sum
The sum of three consecutive odd numbers is 183. What is the largest of them? - Two geometric progressions
Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Fence painting time
A single person would paint a fence in 6 hours with a roller. How long would it take him to paint the wall with a brush if you know that two people, one with a meeting and the other with a roller, were done in 5 hours? - Quarry cleaning time
It takes Maťko 12 hours to clear the wreckage, and his friend Kubko only 8 hours. Kubko started cleaning the quarry only after Maťko had already been working on the quarry for two hours. When did Maťko and Kubek finish cleaning the quarry when Maťko start - Animal heads and feet
When hunting hares and pheasants, hunters calculated that the animals caught had 36 heads and 100 feet. How many hares and how many pheasants do they catch? - Mathematics letter puzzle
Solving the problem of substituting letters with numbers in the word MATHEMATICS: MAT + EMA = TIK - Candy sharing puzzle
Pěťák has three times more candies than his friend Maťko. When Petek's brother Ferko took four candies from both, Petko had five times more than Maťko. How many candies does Petko have now? - Function graph point
Determine the number and in the function y = ax-2 if its graph passes through point A (1, -4). - Geometric progression members
We get three consecutive GP members if we subtract the same number from 33, 45, and 63. Determine this GP and calculate its fifth member. - GP - three members
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers. - GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block. - A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think?
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