1. The area of rhombus ABCD is 24 cm2 and the length of diagonal AC is 8 cm. What is the length of BD?
2. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
3. The area of a rhombus is 36 cm2. If the proportion of the diagonals is 1:2, what are the lengths of the diagonals?
4. Show that the area of kite KLMN is 63 cm2, if LN = 12 cm, and KM = 10,5 cm.
5. Quadrilateral PQRS is a trapezoid with the parallel sides PS and QR, PQ = SR,
∠SPQ = 120°, and ∠SRP = 20°. What is the size of ∠PSQ ?
6. One of the parallel sides of a trapezoid is twice the other. The height of the trapezoid is the average of the parallel sides. If the area of the trapezoid is 324 cm2, find the lengths of the height and parallel sides of the trapezoid.
336/Student’s
7. ABC is triangle, if A is right angle, ∠B = (8x − 1)° and ∠C = (4x + 7)°.What is the sum of ∠B and ∠C?
Sabtu, 05 Februari 2011
TASK 1 / PPB 1 / 2011
1. < A and < B are complementary,if < A is ( 2x + 10 ) and < B = ( 3x + 5 ). Determine the value of x, < A and < B !
2.Determine the measure of two complementary angles whose measure difference is 15°.
3. There is an angle 5° smaller than the multiple of 4 of its supplement. Determine the measure of the angle.
4. The perimeter of a rectangle is 100 cm. The ratio of the length and the width of the rectangle is 3 : 2. Calculate the length and the width of the rectangle.
5. Pak Anwar will buy a piece of land forming a rectangle of 30 m long and 20 m wide. The price of the land is Rp 150,000.00 per m2. How much will Pak Anwar pay for the land?
6. ABCD is square.
a. If AC = 5x−19 and BD = 3x+7, find the lengths of the diagonals.
b. If AD = 4y−15 and AB = y+6, find the lengths of all sides.
7. The lengths of the sides of a new square are 3 times longer than the original. What is the ratio between the original area of the square and the new one?
8. Let RSTU be a parallelogram and ∠RST = 80°, calculate ∠SRU and ∠TUR.
9. KLMN is a parallelogram with diagonals KM and NL intersecting at point P. If KP = 4a+5, KM = 13a, and PL = a+8, what is the length of PN?
10. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
2.Determine the measure of two complementary angles whose measure difference is 15°.
3. There is an angle 5° smaller than the multiple of 4 of its supplement. Determine the measure of the angle.
4. The perimeter of a rectangle is 100 cm. The ratio of the length and the width of the rectangle is 3 : 2. Calculate the length and the width of the rectangle.
5. Pak Anwar will buy a piece of land forming a rectangle of 30 m long and 20 m wide. The price of the land is Rp 150,000.00 per m2. How much will Pak Anwar pay for the land?
6. ABCD is square.
a. If AC = 5x−19 and BD = 3x+7, find the lengths of the diagonals.
b. If AD = 4y−15 and AB = y+6, find the lengths of all sides.
7. The lengths of the sides of a new square are 3 times longer than the original. What is the ratio between the original area of the square and the new one?
8. Let RSTU be a parallelogram and ∠RST = 80°, calculate ∠SRU and ∠TUR.
9. KLMN is a parallelogram with diagonals KM and NL intersecting at point P. If KP = 4a+5, KM = 13a, and PL = a+8, what is the length of PN?
10. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
PRACTICE PROBLEMS
1. Miss. Wati bought 1000 oranges for Rp 800 each. If 20% of it was given to her brother and the remainder are sold for Rp 1,200 each, then the percentage of profit is ….
a. 35% c. 15%
b. 20% d. 10%
2.selle r bought 4 quintals of rice for Rp 2,400,000. If he want to make a profit of 10% , so the selling price of the rice per kg will be ….
a. Rp 4,000.00 c.Rp 6,000.00
b. Rp 4,600.00 d.Rp 6,600.00
3. A Laptop was sold for Rp 5,100,000.00. If Mr. Joko made a loss 15%, what was the buying price of the laptop?
a. Rp 6,000,000.00 c. Rp 5,115,000.00
b. Rp 5,865,000.00 d. Rp 765,000.00
4. The gross weight of 4 sack of sugar is 200 kg and its tare is 2 %. What was the net weight of each sack of sugar ?
a. 52.00 kg c. 48.00 kg
b. 49.00 kg d. 46.00 kg
5. After the discount 20%, the price of 3 pairs of shoes is Rp 360,000.00. What is the price of each pair of shoes before the discount?
a. Rp 450,000.00 c. Rp. 150,000.00
b. Rp 300,000.00 d. Rp 120,000.00
6. Miss. Eny saves Rp 12,000,000.00 at BRI. How much money does Miss. Eny save after 9 months if BRI gives interest rate of 12% per year?
a. Rp 13,134,000.00 c. Rp 12,012,000.00
b. Rp 13,080,000.00 d. Rp 12,009,000.00
7. A map of Indonesia is created to a scale of 1:1,500,000. If the distance of Semarang and Purwokerto is 25 cm, then the fact distance is ….
a. 385 km c. 350 km
b. 375 km d. 300 km
8. An older brother is 4 years older than Adis` age. If the ratio of their ages is
7 : 5 , then their ages are ….
a. 14 and 10 years old c. 12 and 4 years old
b. 7 and 5 years old d. 7 and 4 years old
9. The price 5 kg of star fruit for Rp41,250.00. Then the price of 15 kg of it is ….
a. Rp113,750.00 c. Rp123,750.00
b. Rp121,250.00 d. Rp141,250.00
10. By using a car, the distance between two cities can be traveled in 5 hours at an average speed of 60 km/hour. After 3 hours traveled at the average speed 80km/hour, Andi take rest for 1 hours, then the speed are needed to finish on time suitable in his plan is ….
a. 80 km/hour c. 60 km/hour
b. 70 km/ hour d. 40km/hour
11. It is required 12 workers to built a house in 30 days. If the house is built in 20 days, how many workers are needed to built that house?
a. 25 workers c. 18 workers
b. 20 workers d. 16 workers
12. Mr. Hasan has animals` food supply for 24 goats in 6 days. If 8 goats are sold, then in how many days will the animals` food supply be exhausted?
a. 10 days c. 8 days
b. 9 days d. 7 days
13.The sum of two numbers is greater than 20. If the first number is treble of the second number. What is the value of second number?
a. x > -15 c. x > 5
b. x > -5 d. x > 15
14. A dozen books were bought at a price for Rp 75,000,00. They were then sold at a price for Rp 8,000,00 each. What was amount of profit earned ?
a. Rp 21,000,00 c. Rp 16,000.00
b. Rp 17,500.00 d. Rp 12,500.00
15. 23. Mr. Ahmad has (5x – 2) books, and Mrs. Eny has (3x + 4) books. The total of their books is 82. How many books does Mr. Ahmad have?
a. 10 c. 34
b. 15 d. 48
16. Given the sides of triangle are (2x + 5)cm, 4x cm and 5 cm. If its perimeter
28 cm , then x+2 = ….
a. 5 c. 3
b. 4 d. 2
17. The solution of - 4x + 6 < - x + 18, and x is integers. Then x are ….
a. -7, -6, -5, -4, … c. 0, 1, 2, 3, 4, …
b. -3, -2, -1, 0, 1,… d. 1, 2, 3, 4, …
18. 18. The length of the rectangle is (5x – 1), and the width is (2x + 3). Then the area of rectangle is ….
a. 10x2 – 13x – 3 c. 10x2 + 13x - 3
b. 10x2 – 13x + 3 d. 10x2 + 13x + 3
19.Which one in the following open sentences is Linear Equation in One Variable.
a. 3x = 9 c. 2x = 8
b. 2x + y = 0 d. 4y > 12
20. Given the open sentences
i. 4k – 20 = 36 iii. k – 5 = 9
ii. 4 – 20k = 36 iv. k = 14
Which one in the following open sentences are equivalent.
a. i and ii c. i and iii
b. ii and iv d. i, iii, and iv
21. The solution of 3(x + 2) = 2(3x – 6 ) is ….
a. -6 c. 3
b. -3 d. 6
22. LCM and GCD of 4x3y and 6x2y4z, consecutively are ….
a. 12x3y4z and 2x2yz c. 12x3y4z and 2x2y
b. 12x3y4z and 2x3y4 d. 12x3yz and 2x2y4
23.The expanded form from (2x + 4) (3x – 6) is …
a. 6x2 + 24x c. 6x2 + 24x + 24
b. 6x2 - 24 d. 6x2 + 24x + 24
24.The closest estimation of 38 : 49 is ….
a. 0.6 c. 0.8
b. 0.7 d. 0.9
25. The distance from the sun to the earth is approximately 149,000,000 km. Using scientific notation, we can write this number as …
a. 1.49 x 105 c. 1.49 x 107
b. 1.49 x 106 d. 1.49 x 108
26. Given 3x3 – 4x2 + 5x – 6. The coefficient of the 2nd term and the constant are ….
a. 4 and 6 c. 4 and – 6
b. – 4 and 5 d. – 4 and – 6
27. Look at the algebraic term below. Which pair is like terms?
a. 4 pqr and 7 prq c. 5 abc and 3 adc
b. 3xy2 and 4x2y d. 2xy and 2x2y
28. The simplest form of 6x2 + 4y + 3x2y – 2x2 – 4y - 2x2y is ….
a. 4x2 + x2y c. 2x2 – 2x2y
b. 2x2 + 2x2y d. 4x2 – x2y
29. In the test consists of 40 questions, each correct answer is rated 4, each incorrect answer s rated -1, and the questions which are left unanswered are rated 0. In the test, Alan answered 30 questions correctly and didnot answer 7 questions. What was Alan’s the total score?
a. 120 c. 113
b. 117 d. 110
30. If a = 3, b = 4, and c = -2, therefore the value of abc2 + bc, is ….
a. 40 c. 50
b. 48 d. 56
a. 35% c. 15%
b. 20% d. 10%
2.selle r bought 4 quintals of rice for Rp 2,400,000. If he want to make a profit of 10% , so the selling price of the rice per kg will be ….
a. Rp 4,000.00 c.Rp 6,000.00
b. Rp 4,600.00 d.Rp 6,600.00
3. A Laptop was sold for Rp 5,100,000.00. If Mr. Joko made a loss 15%, what was the buying price of the laptop?
a. Rp 6,000,000.00 c. Rp 5,115,000.00
b. Rp 5,865,000.00 d. Rp 765,000.00
4. The gross weight of 4 sack of sugar is 200 kg and its tare is 2 %. What was the net weight of each sack of sugar ?
a. 52.00 kg c. 48.00 kg
b. 49.00 kg d. 46.00 kg
5. After the discount 20%, the price of 3 pairs of shoes is Rp 360,000.00. What is the price of each pair of shoes before the discount?
a. Rp 450,000.00 c. Rp. 150,000.00
b. Rp 300,000.00 d. Rp 120,000.00
6. Miss. Eny saves Rp 12,000,000.00 at BRI. How much money does Miss. Eny save after 9 months if BRI gives interest rate of 12% per year?
a. Rp 13,134,000.00 c. Rp 12,012,000.00
b. Rp 13,080,000.00 d. Rp 12,009,000.00
7. A map of Indonesia is created to a scale of 1:1,500,000. If the distance of Semarang and Purwokerto is 25 cm, then the fact distance is ….
a. 385 km c. 350 km
b. 375 km d. 300 km
8. An older brother is 4 years older than Adis` age. If the ratio of their ages is
7 : 5 , then their ages are ….
a. 14 and 10 years old c. 12 and 4 years old
b. 7 and 5 years old d. 7 and 4 years old
9. The price 5 kg of star fruit for Rp41,250.00. Then the price of 15 kg of it is ….
a. Rp113,750.00 c. Rp123,750.00
b. Rp121,250.00 d. Rp141,250.00
10. By using a car, the distance between two cities can be traveled in 5 hours at an average speed of 60 km/hour. After 3 hours traveled at the average speed 80km/hour, Andi take rest for 1 hours, then the speed are needed to finish on time suitable in his plan is ….
a. 80 km/hour c. 60 km/hour
b. 70 km/ hour d. 40km/hour
11. It is required 12 workers to built a house in 30 days. If the house is built in 20 days, how many workers are needed to built that house?
a. 25 workers c. 18 workers
b. 20 workers d. 16 workers
12. Mr. Hasan has animals` food supply for 24 goats in 6 days. If 8 goats are sold, then in how many days will the animals` food supply be exhausted?
a. 10 days c. 8 days
b. 9 days d. 7 days
13.The sum of two numbers is greater than 20. If the first number is treble of the second number. What is the value of second number?
a. x > -15 c. x > 5
b. x > -5 d. x > 15
14. A dozen books were bought at a price for Rp 75,000,00. They were then sold at a price for Rp 8,000,00 each. What was amount of profit earned ?
a. Rp 21,000,00 c. Rp 16,000.00
b. Rp 17,500.00 d. Rp 12,500.00
15. 23. Mr. Ahmad has (5x – 2) books, and Mrs. Eny has (3x + 4) books. The total of their books is 82. How many books does Mr. Ahmad have?
a. 10 c. 34
b. 15 d. 48
16. Given the sides of triangle are (2x + 5)cm, 4x cm and 5 cm. If its perimeter
28 cm , then x+2 = ….
a. 5 c. 3
b. 4 d. 2
17. The solution of - 4x + 6 < - x + 18, and x is integers. Then x are ….
a. -7, -6, -5, -4, … c. 0, 1, 2, 3, 4, …
b. -3, -2, -1, 0, 1,… d. 1, 2, 3, 4, …
18. 18. The length of the rectangle is (5x – 1), and the width is (2x + 3). Then the area of rectangle is ….
a. 10x2 – 13x – 3 c. 10x2 + 13x - 3
b. 10x2 – 13x + 3 d. 10x2 + 13x + 3
19.Which one in the following open sentences is Linear Equation in One Variable.
a. 3x = 9 c. 2x = 8
b. 2x + y = 0 d. 4y > 12
20. Given the open sentences
i. 4k – 20 = 36 iii. k – 5 = 9
ii. 4 – 20k = 36 iv. k = 14
Which one in the following open sentences are equivalent.
a. i and ii c. i and iii
b. ii and iv d. i, iii, and iv
21. The solution of 3(x + 2) = 2(3x – 6 ) is ….
a. -6 c. 3
b. -3 d. 6
22. LCM and GCD of 4x3y and 6x2y4z, consecutively are ….
a. 12x3y4z and 2x2yz c. 12x3y4z and 2x2y
b. 12x3y4z and 2x3y4 d. 12x3yz and 2x2y4
23.The expanded form from (2x + 4) (3x – 6) is …
a. 6x2 + 24x c. 6x2 + 24x + 24
b. 6x2 - 24 d. 6x2 + 24x + 24
24.The closest estimation of 38 : 49 is ….
a. 0.6 c. 0.8
b. 0.7 d. 0.9
25. The distance from the sun to the earth is approximately 149,000,000 km. Using scientific notation, we can write this number as …
a. 1.49 x 105 c. 1.49 x 107
b. 1.49 x 106 d. 1.49 x 108
26. Given 3x3 – 4x2 + 5x – 6. The coefficient of the 2nd term and the constant are ….
a. 4 and 6 c. 4 and – 6
b. – 4 and 5 d. – 4 and – 6
27. Look at the algebraic term below. Which pair is like terms?
a. 4 pqr and 7 prq c. 5 abc and 3 adc
b. 3xy2 and 4x2y d. 2xy and 2x2y
28. The simplest form of 6x2 + 4y + 3x2y – 2x2 – 4y - 2x2y is ….
a. 4x2 + x2y c. 2x2 – 2x2y
b. 2x2 + 2x2y d. 4x2 – x2y
29. In the test consists of 40 questions, each correct answer is rated 4, each incorrect answer s rated -1, and the questions which are left unanswered are rated 0. In the test, Alan answered 30 questions correctly and didnot answer 7 questions. What was Alan’s the total score?
a. 120 c. 113
b. 117 d. 110
30. If a = 3, b = 4, and c = -2, therefore the value of abc2 + bc, is ….
a. 40 c. 50
b. 48 d. 56
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