# Arithmetic - math word problems

1. Compare Compare with characters >, <, =: 85.57 ? 80.83 By introducing a new variable solve biquadratic equation: ?
3. Segments Which of the pairs of numbers on the number line encloses the longest segment: ?
4. Family 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%.
5. Diagonals in the diamond The length of one diagonal in diamond is 24 cm greater than the length of the second diagonal and diamond area is 50 m2. Determine the sizes of the diagonals.
6. Leg Determine the area of a trapezoid with bases 71 and 42 and height is 4 shorter than the its leg.
7. Loan Apply for a \$ 59000 loan, the loan repayment period is 8 years, the interest rate 7%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.
8. Funnel The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
9. Number Calculate the integer number which, divided by 34 gives 10 and the rest 25.
10. Chord AB What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
11. Chemical parison The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
12. Snowman 2 On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express
13. Rhombus problem Perimeter of the rhombus is 204 dm and it area is 2244 dm2. Calculate the height of the rhombus.
14. Bus At the A bus stop boarded 6 people into the bus and on each other bus stop one man more than the previous one. On E station never boarded. Stops are A, B, C, D, E. Calculate the number of people on the bus after leaving the station E.
15. Exp If ?, then n is:
16. Goniometric form Determine goniometric form of a complex number ?.
17. Three digits number How many are three-digit integers such that in they no digit repeats?
18. Temperature calculus Calculate percentage of temperature increase if changed from 18°C to 33°C? Solve pure quadratic equation ?. Could 446 tons of potatoes (ρ = 771 kg/m³) fits in a warehouse with a volume of 699 m³ ?