Math practice for 13 year olds - page 331 of 423
Number of problems found: 8460
- Percentage 3872
Milos had to do 20 clicks. However, he only made 16. What percentage did he miss in completing the task?
- Difference 3870
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.
- Exponential equation
Determine the value of having y in the expression (3^y): (4-1)=36. Unknown y is a natural number greater than zero.
- Raspberries
Dano had 20 raspberries, and John had 90% more raspberries than Dano. Find the total number of raspberries Dano and Juraj have together.
- Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
- Money duo
Julius and Mark have 45 euros together. Mark has 50% more money than Julius. Determine the amount of money Mark and Julius have.
- Cancer
Of the 80 people, 50 people were ill with cancer. What percentage of people isn't ill?
- Determine 3861
Determine the value of f: 0.49^f = 0.7
- Exponential 3858
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5
- Determine 3857
Determine what 305% of number 98 is.
- Price saleoff
Shoes cost y euros. They were first discounted by 12% and then 50% of the new amount. After this double discount, the cost was exactly 22 euros. Determine the original price of the shoes.
- Determine 3851
Michal would cut the fence himself in 12 hours. It would take Michal and Juraj 8 hours together. Determine how long it would take for Juraj to do the job.
- Sales off
The shoe cost x euros. First, they are discounted by 50%, then 25% of the new amount. Determine what percentage of the total cost is cheaper.
- Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
- Probability 3847
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball
- Cablecar
Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb.
- Directorate 3845
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school?
- Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig
- Blueberries 3843
Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How much does each of them collect?
- Linear system
Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
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