Examples for secondary school students - page 59

1. 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.
2. Sum of members
What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
3. 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
4. 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
5. Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
6. Coefficient
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
7. Word MATEMATIKA
How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?
8. Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
9. Combinations
If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
10. Points in plane
The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
11. Elements
If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
12. Seagull
Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi
13. Minimum of sum
Find a positive number that the sum of the number and its inverted value was minimal.
14. Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
15. Variation equation
Solve combinatorics equation: V(2, x+8)=72
16. Series and sequences
Find a fraction equivalent to the recurring decimal? 0.435643564356
17. Third member
Determine the third member of the AP if a4=93, d=7.5.
18. Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
19. Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
20. Folded square
ABCD is a square. The square is folded on the midpoint of AB and A is folded onto the fold, creating a shaded region. The perimiter of the shaded figure is 75. Find the area of square ABCD

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