Math practice for 13 year olds - page 84 of 428
Number of problems found: 8560
- Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Janka Danka payment
Janka and Danka together paid €132 for the purchase. However, Jana paid five times more than Danka. How many euros did Janka pay, and how much did Danka pay? - Trapezoid plot area
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Dice five probability
What is the probability that two fives are rolled when two dice are rolled if we know that the sum of both numbers is divisible by five? - Price discount percentage
Price before discount 250, after discount 200. Find discount by n% and discount to n%. - Courier delivery cars
The courier company delivers the ordered goods through the e-shop. If the delivery were made by 2 cars, it would be completed in 6 hours. However, after 4 hours, the first car's driver stopped delivering, and the second car continued to deliver for anothe - Equal number multiplication
When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they? - Pear apple trees
A total of 18 pear and apple trees grow in the set. Pears are 2 times less than apple trees. How many pears and apple trees are there? - Grandmother grandson age
The grandmother is 4 times older than the grandson. In 7 years, it will be only 3 times. How old is grandma? - Hand velocity ratio
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints? - Fertilizer nitrogen mass
The fertilizer contains 15.8% nitrogen. Calculate the mass of fertilizer that must be added to the soil to make 17.0 g of nitrogen effective. Addition losses are 6.60%. - Stadium map area
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Number factor product The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3?
- Glass box packing
The merchant ordered 200 glasses, and the order was confirmed with the fact that he will receive 41 in rabic, packed in 4 and 6 pieces. How many boxes of 4 and how many boxes of 6? - Nikola number difference
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum? - Prism volume edge
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Motorcycle truck pursuit
A motorcycle travels at a speed of 116 km/h, and a truck at a speed of 88 km/h. At what time will the motorcyclist reach the truck if, at 7:00 AM, the truck is ahead of him by 56 km? - Parallelogram diagonal construction
Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals.
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