# Grade - examples - page 162

1. Chord It is given to a circle k(r=6 cm) and the points A, B such that / AB / = 8 cm lies on k. Calculate the distance of the center of circle S to the midpoint C of the segment AB.
2. School Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?
3. Competition 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
4. Weightlifter Weightlifter lifted 75% of its weight. Determine how much weight lifted when he weighs 132 kg.
5. 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?
6. King's birthday To celebrate the king's birthday workers fire 1/5 all purchased rockets. To celebrate the Queen's birthday fire 1/6 of the remaining rockets and to celebrate the birthday of king's son remaining 15,000 rockets. How many rockets they purchased?
7. Hexagon area The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
8. The gardener The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
9. Q of GP Calculate quotient of geometric progression if a1=5 a a1+a2=12.
10. 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?
11. Driver I drive at an average speed of 70km/h, I drive 10 thousand km. How long did it take me?
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. Gloves Petra has ten pairs of gloves in the closet. Six pairs are blue, 4 pairs are yellow. How many pieces of gloves need to be pulled out at least when she pull them out in the dark and want to have one complete one color pair?
14. Cancer Of the 80 people 50 people ill cancer. What percentage of people isn't ill?
15. Sum of members What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
16. Shots Determine the percentage rate of keeper interventions if from 32 shots doesn't caught four shots.
17. 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?
18. Parallelogram Calculate the missing side of a parallelogram, if you know the perimeter o and one side: a) o = 7.2 cm; b = 1.8 cm b) o = 5.4 cm; a = 1.9 cm
19. Harmonic and arithmetic means The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calculat
20. 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

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