Maths practice for 12-year-olds - page 251 of 347

Number of problems found: 6923

Bus Passenger Distribution
There are 36 passengers on the bus. There are seven women more than men and 22 children less than adults. How many men, women, and children are on the bus?
Dividing Goods to Stores
They delivered goods to four stores. First, they collected one-third of the shipment, second only two-thirds of what happened in the first. In the third, one-quarter of the rest, and the fourth, the remaining 240 kg. How much did they make at each store?
Two Integers Sum Difference
Find two integers whose sum is less than their difference.
Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B?
Driver
I drive at an average speed of 70 km/h. I drive 10 thousand km. How long did it take me?
Prism height
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
Guppies
Audrey has some guppies in a fish tank. The ratio of the orange guppies to silver guppies is 3:5. She has 12y orange guppies. Write the number of silver guppies she has in terms of y.
Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder.
Tree cutting
The orchard has 600 apple trees. On the first day, they cut 1/5 and 2/8 of the total number of trees on the second day. How many more trees do they have to harvest?
Area of triangle
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangle DF
Number difference
Peter said to Paul: "Write a two-digit natural number with the property that if you subtract from it a two-digit natural number written in reverse, you get the difference 63. Which number could Paul have written?" Specify all options.
MO Z7–I–3 2017
A zoological garden offered school groups an advantageous admission: every fifth pupil gets a ticket free of charge. The teacher of 6.A calculated that if he buys admission for the children from his class, he will save for four tickets and will pay 19.95
Wall dimensions
The walls, which are in the shape of a square with a side of 24 km, are 107 m high and 27 m wide. Calculate their perimeter and area.
Repeating digits
There is a thousand one-digit number, which consists of repeating digits 123412341234. What remainder gives this number when dividing by nine?
Unadjusted clock
Matej was finding out how precisely the tower clock measures time. He came to the conclusion that if no one adjusted it on an ongoing basis, it would show completely exact time once every 200 days. a) Calculate by how many seconds the time measured by the
Linoleum cost
The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45 mm x 65 mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80?
MO Z6-I-2 2017
Erica wanted to offer chocolate to her three friends. When she took it out of her backpack, she found that it was broken, as shown in the picture. (The marked squares are identical.) The girls agreed not to break the chocolate any further and drew lots to
Closest natural number
Find the closest natural number to 4.456 to 44.56 and 445.6.
Boys and girls
There are 28 girls in the hall. Boys make up 5/7 of all the children. How many children are there in total, and how many are boys?
Groups
In the 6th class, there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?

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