Math practice for 13 year olds - page 85 of 414
Number of problems found: 8262
- Karel grade average
Charles has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Deposit interest increase
How much is the deposit? Which at an interest rate of 3.75%p. a., will it increase by 25 euros in one year? - Mother daughter stride
Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps. What is the mother's stride length? How many steps did the daughter take? - 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 Jane and Dana together paid €132 for the purchase. However, Jane paid five times as many as Dana. How many euros did Jane pay, and how much did Dana pay?
- Trapezoid plot area
The right trapezoidal plot has a basic length of 102 m and 86 m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Jakub 6
Jakub collects dice, all of the same size. Yesterday he found a box into which he began to place the dice. The first layer covered exactly the square bottom of the box. He placed five more layers similarly, but in the middle of the next layer the dice ran - 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? - Triangle greenhouse
A greenhouse has the shape of a prism lying on its side wall. The base consists of a trapezoid and a triangle. The lower base of the trapezoid has a length of 3 m, the upper base (and the side of the triangle) has a length of 2 m, the height of the trapez - 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 as old 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 2 cm x 3 cm. - 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.
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