Arithmetic - math word problems
- Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
- Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Plasticine ball
Plasticine balls have radius r1=85 cm, r2=60 mm, r3=59 cm, r4=86 cm, r5=20 cm, r6=76 mm, r7=81 mm, r8=25 mm, r9=19 mm, r10=14 cm. For these balls
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. In which height ladder touches the wall?
- Pension or fraud
Imagine that your entire working life working honestly and pay taxes and to Social Insurance (in Slovakia). You have a gross wage 730 Euros, you pay social insurance (you and your employer) monthly € 263 during 44 years and your retirement is 354 Eur
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
- Triangle SSS
Calculate perimeter and area of a triangle ABC, if a=42, b=57 and c=42.
- Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must now catch grade 1 to get grade 2 on the report card?
- Scientists from the Social Insurance
Aaron became sick leave and social insurance granted him sick leave of 13.8211695 EUR per day. Calculate the number of days to save Aaron to roll in the price of 0.1 Eur, if every day they postpone the amount of the last decimal place of his sickness. [
How many ways can 6 people sit on 6 numbered chairs (e. G. , seat reservation on the train)?
- Salary raise
The monthly salary was 620 Eur. During the year it was raised to 727 Eur. Calculate the month from salary was increased that employee earned 7547 Eur during the whole year.
- School trip
The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
- Cu thief
The thief stole 122 meters copper wire with cross-section area of 95 mm2. Calculate how much money gets in the scrap redemption, if redeemed copper for 5.5 eur/kg? The density of copper is 8.96 t/m3.
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the circumference of the base and the length of both sides of the cone (over the top). What is the volume of the san
- Temperature calculus
Calculate percentage of temperature increase if changed from 18°C to 33°C?
- Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%.
- Homeless Dezider
Homeless Dežko has 9 coins in jacket: Calculate the value of its assets and calculate how many bottles of wine for 0.55 EUR can he buy.
Bomber flies 10 km at 600 km/h. At what horizontal distance from the target, must pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s2.