Math practice for 13 year olds - page 325 of 424
Number of problems found: 8462
- Underwater 4189
The water pillar is partly embedded in the ground, partly underwater, and protrudes 55 cm above the water. The length of the part above the water to the length of the part in the water is in the ratio of 1:2. The length of the part above the water to the
- Raw meat
The school cafeteria prepares 490 servings of 50 g of boiled meat for one lunch. Meat loses 30% of its weight by cooking. How many kilograms of raw meat must the school canteen prepare for this lunch to cook?
- Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square.
- Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
- Symmetry
Eva loves symmetry in shapes and numbers. Yesterday she invented an entirely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property: The first digit is divisible by 1, the second by 2,
- Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att
- Sale
A camera has a listed price of $751.98 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included.
- Calculate sphere
Calculate the volume of a sphere with a diameter of 15 cm.
- Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters?
- Discount 4169
Jurko bought the book for € 9.60. He found out that he bought it with a 36% discount. How many euros did Jurko save?
- Remaining 4165
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.
- Potatoes
Daniela and Michael would jointly dig potatoes for 7.5 hours. But if Daniela was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how much for the work done by Michael himself and how much Daniela herself.
- Baskets of apples
Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms
- Companies 4156
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together?
- Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al
- Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll
- The swing
To swing the two girls. Aneta weighs 45 kg and Simon 35 kg weight. How far should Simon sit from the middle of the swing so it is balanced if we know that Aneta is sitting at a distance of 1,5m? How far are girls sitting apart?
- Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
- Percentage 4138
What percentage does the white color on the Czech flag occupy?
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