Maths practice for 11-year-olds. - page 130 of 222

Number of problems found: 4421

Saving for an apartment
The Adamec, Benda and Cibulka families began saving for an apartment priced at 750 000 Kč in January 1997. The Benda family had 250 000 and save 4 000 Kč monthly; the Adamec family had 370 000 Kč (Kč is Czech crown) and save 6 000 Kč monthly; the Cibulka
Difference of a half
Calculate three times the half difference of 7.5 and 2.1,
Area of rectangle
If we increase the length by twice and decrease the width by half, how many times will we increase the area of the rectangle?
Triangle Third Angle
Calculate the magnitude of the third interior angle in triangle ABC when alpha = 30 °, beta = 60 °
Three Inlets Fill Time
The pool is filled with three identical tributaries in 12 hours. In how many hours will only two tributaries fill it?
Cable Digging People Days
In 12 days, ten people will dig a 3 km cable car. In how many days will five people dig it up?
Basket bun sharing
There were 16 buns in the basket on the table. Josef ate half of it, Eve ate the rest, and Duncho ate it. How much did Dunco eat?
Spruce wood
Calculate the weight of an edge made of spruce wood 6 m long when the cross-section of the edge is 146 cm square and if the density of the wood is 0.55 grams/cm cubic.
Cube QR Codes Area
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black.
Birthday weekday
Adam's birthday is on Monday, and Eva's 66 days later. Which day of the week will it be?
Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm?
Conference 2
Nine people attended a conference on behalf of their company. The conference fee was £520 per person, and the company paid £856 in travel costs for the nine people. How much did the conference cost the company altogether?
Discount on T-shirts
When buying two identical T-shirts, the discount on the second is SKK 60. If Ondra pays CZK 170 for both T-shirts, how much does one T-shirt cost?
The cube
The cube has a 25 cm edge. We cut it into small cubes with 5 cm long sides. How many of these little ones are left when we build a new cube of 20 cm in length?
Number sum change
How much does the sum of three two-digit numbers change when we increase the first by 20, decrease the second by 10, and leave the third unchanged?
Five Odd Numbers Sum
The sum of five consecutive odd numbers is 35. What are these numbers?
Mixing Celsius and Fahrenheit
Add up three temperatures: 5°F +6°F +0°C
Cube root
For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong?
Big number
How many ones (digits) does the number 12345678910111213141516 ... 4647484950 contain? Did we write all natural numbers from 1 to 50 in a row?
Pool capacity
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?

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