# Units - examples - page 86

1. Drying apples
By drying, apples lose 85% of their weight. How many kgs of dried apples do we get from 820 kilograms of fresh?
2. Pumping
The tank is filled with a larger pump in 12 hours and with scond pump in 15 hours. For how long does the tank fill when both pumps are switched on at the same time?
3. Resultant force
Calculate mathematically and graphically the resultant of a three forces with a common centre if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25°
4. Two lands
The common area of the two neighboring lands is 964 m2. The second land is 77 m2 smaller than twice the size of the first land. Find the areas of each land.
5. Three granaries
Three granaries hold 7,800 metric cent (q) of grain. In the first, 70 tonnes of grain was more than the second and in the third it was 120 tonnes less than in the second. How many grain were in each granary?
6. One frame
5 picture frames cost € 12 more than three frames. How much cost one frame?
7. Years
Susan is 3 years and as she will be old as Teodor now him will be 11. How old is Teodor today?
8. Weightlifter
Weightlifter lifted 75% of its weight. Determine how much weight lifted when he weighs 132 kg.
9. Forces on earth directions
A force of 60 N [North] and 80 N [East] is exerted on an object wigth 10 kg. What is the acceleration of the object?
10. Driver
I drive at an average speed of 70km/h, I drive 10 thousand km. How long did it take me?
11. Truck
The truck passed 4550 km in 5 days. The first three days passed every day the same way. The fourth day passed 630 km and the fifth day was 920 km. How many km has passed the first three days?
12. Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.
13. Walkers
Walker, which makes 120 steps per minute, make distance from point A to point B for 55 minutes. The length of his step is 75cm. For how long does this distance go boy who will do 110 steps 60 cm long in a minute?
14. Trapezium ABCD
In the figure, ABDC is a trapezium in which AB || CD. line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN and LM. angle D=angle C=60
15. Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
16. Working time
At 10 hours work shift, work is done in 16 days. How many days will the work be done at 8 hours shifts?
17. Coolant
The driver of the car cooler filled with a mixture of 3.9 liters and 2.6 liters of water antifreeze coolant. At what rate are this two components of the mixture?
18. Diameter
The diameter of a circular plot is 14 dm. Find the circumference and area.
19. Parallelogram perimeter
The ABC triangle with sides a = 5cm, b = 3cm, c = 40mm has the center of the sides of the K,L,M. How many cm have the KBLM parallelogram perimeter?
20. Rectangle 39
Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)

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