Soal Mid SMTR II KLS VII RSBI (math)

1. Determine all subsets of the following sets: H= { p, q, s, t }

2. Express the following sets with set forming notations.
A= { 0, 1, 4, 9, 16, 25 }

3. Given A = { 1, 2, 3, 5, 7 }
B = { 4, 5, 6, 7, 9 }
C = { 3, 7, 8, 9, 10, 11 }
Listing the elements, determine: A u B dan B u C

4. Given A = { 1, 2, 3, 5, 7 }
B = { 4, 5, 6, 7, 9 }
C = { 3, 7, 8, 9, 10, 11
List the elements,then determine: A n B dan A n C
5. Among 57 students, there are 40 students who like meatballs, 32 students who
like soup, and 17 students who like both meatballs and soup.
a. Draw the Venn diagram showing the data.
b. How many students like meatballs or soup?
c. How many students like neither meatballs nor soup?

6. Given U = { x ¦ x ≥ 5, x is natural number }
B = { x ¦ 5 < x < 8, x is natural number }
C = { x ¦ 5 <= x <= 10, x is natural number }
List the elements, then determine: (B u C)’ and (B n C)’

7. Given U = { x ¦ x ≥ 5, x is natural number }
B = { x ¦ 5 < x < 8, x is natural number }
C = { x ¦ 5 x  10, x is natural number }
List the elements,then determine: B – C dan C - B
Consider the figure on the right for number 8, 9, and 10
If APB = (11x5) , BPC = (7x), and APC =85.
8. Determine the value of x
9. Determine the measurement of APB
10. Determine the measurement of BPC

For number 11, 12, and 13.Consider the figure on the right.
If PQS = 90,SQT =(x+28)and TQR=(6x 15),
11. Determine the measurement of SQT.
12. Determine the measurement ofTQR.
13. Mention the complementary angle


14. If KPL = (2x) and LPM = (3x), determine the value of x.
For number 15and 16,consider the figure on the right
15. Determine the measurement of 1 and 6
16. Determine the measurement 2 + 5 +4 + 3

17. Determine the size of AOC and AOD in the figure below.



18. Given A is the complementary of B. If A = (7x+4) and B = (4x+9), determine: the size of A.
19. Given P is the supplementary of Q. If P = (6x+4)and Q = (10x),determine:Q.
20. Angles A and B are two complementary angles, so are angles C and D. If A = (2x+3) , B = (y2) , C = (2xy) and D = (x1).
Determine: the value of x and y


ANSWER
1. {p}, {q}, {s}, {t}, {p,q},{p,s}, {p,t}, {q,s}, {q,t}, {s, t}, {p, q, s}, {p, q, t},{q, s, t}, {p, s, t},{}, {p,q,s,t}
2. A = {0, 1, 4, 9, 16, 25}
A = {x/ 0 ≤ x ≤ 25, x € square number}
3. A u B = {1,2,3,4,5,6,7,9}
B u C = {3,4,5,6,7,8,9,10,11}
4. A n B = { 5, 7}
A n C = {3,7}
5. a.
b.The number of students who likemeatballs or soup is (40 + 32 - 17) = 55
c. The number of students who like neither meatballs nor soup is (57-55) = 2

6. U = {5, 6, 7, 8, 9, 10…}
B = {6, 7}
C = {5, 6, 7, 8, 9, 10}
(B u C)= {5, 6, 7, 8, 9, 10}
(B u C)’ = {11, 12, 13, 14, 15, …}
(B C) = = {6, 7}
(B C)’= {5, 8, 9, 10, 11, 12, 13,…}

7. U = {5, 6, 7, 8, 9, 10…}
B = {6, 7}
C = {5, 6, 7, 8, 9, 10}
B – C = { }
C – B = {5, 8, 9, 10}

8. 18x -5 = 85
18x = 85 + 5
18x = 90
X = 90/18=5
9. the measurement of = 11x5-5
= 55 – 5 =50

10. the measurement of < BPC = 7x = 7 x 5 = 35

90= (x+28)+ (6x - 15)
90= x + 28+ 6x - 15
7x = 90 - 13 ↔ 7x = 77 ↔ x = 11

11. the measurement of 12. the measurement of = 51

13. the complementary angle =
14. (2x)+ (3x)= 180
5x = 180 ↔ x = 36

15. the measurement of <1
<1 = 110( vertical angel 110)
the measurement of <6
< 4 = 110 (corresponding angle <1)
<6 = 700 (supplementary angle <4)

16. the measurement <2 + <5 +<4 + <3
= 70 + 110 + 110+ 70 = 360

17. 5x – 22 = 3x + 16
5x – 3x = 16 + 22
2x = 38
X = 19

18. If (7x+4)+ (4x+9) = 90
7x + 4x + 4 +9 = 90
11x + 13 = 900 ↔ 11x = 90 – 13
11x = 77 ↔ x = 7

19.

(6x+4)+ (10x)= 180 ↔ 16x + 4 = 180
16x = 176
X = 11

20. (2x+3) + (y-2) = 90
2x + y = 89…………(1)
(2x-y) + (x-1) = 90
3x – y = 90…………(2)
Dari (1) dan (2)
2x + y = 89
3x – y = 90

5x = 179 ↔ x = 35.8

Y = 8.7