Math practice for 13 year olds - page 46 of 414

Number of problems found: 8262

Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²?
Nuts 8
Peter divided nuts between two friends. Each friend received a quarter of all the nuts plus two more nuts. Peter had two nuts left. How many nuts did he have originally?
Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times?
Calculate 449
Calculate the size of the angle formed on a clock face by the lines connecting the centre to the positions at 7:12 and 1:24.
Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed?
Daniel 3
Daniel and Eve earned 180 euros together. Daniel earned 70 euros more than Eve. How much did Daniel earn, and how much did Eve earn?
Matej 2
Matthew, Mark, Miles, and Matt had a total of 205 football player cards with signatures. Mark has four times more than Matthew. Matt had twice less than Mark. Miles had 20 fewer cards than Matthew. How many cards did each of them have?
Calculate 263
Calculate the area of a rhombus whose diagonals are u = 12 and v = 19.
In the domestic
In a domestic express train, there are 1st and 2nd class carriages. There are twice as many 2nd class carriages as 1st class carriages. Each carriage has 10 compartments. Each 1st class compartment has 6 seats, and each 2nd class compartment has 8 seats.
Average time
Determine the weighted average time required in minutes per product, given that 6 workers each take 8 minutes, 15 workers each take 12 minutes, 5 workers each take 10 minutes, and 9 workers each take 13 minutes.
Construct 22
Construct a rhombus ABCD if the diagonals are f = 7 cm and e = 5 cm.
Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³.
To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors over these three days. How many visitors came on each day?
Members 2
The members of a housing cooperative elected a seven-member board. In how many ways can a chairman, vice-chairman, treasurer, and secretary be chosen from among them?
Birthday boy 2
In how many ways can seven people be seated around a table if the birthday boy must sit at the head?
HAMMER 3
Determine in how many ways the letters of the word HAMMER can be rearranged so that some group of consecutive letters in the rearrangement forms the word WATER.
Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm.
Relay
A relay race will be run by the class team of Kate, Alice, Michaela, and Erica. Determine how many different running orders are possible, given that each of them can run in any position.
Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the
Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map?

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